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114223043255440 = 24573791954127541
BaseRepresentation
bin11001111110001010011111…
…111010110001110010010000
3112222102121122021110211102211
4121332022133322301302100
5104432412243033133230
61042533201444521504
733026225331103510
oct3176123772616220
9488377567424384
10114223043255440
11334387a2146919
12109892360b0294
134b97257411742
14202c5d38ad840
15d3130bb4842a
hex67e29feb1c90

114223043255440 has 160 divisors (see below), whose sum is σ = 304334375996160. Its totient is φ = 39055439001600.

The previous prime is 114223043255437. The next prime is 114223043255443. The reversal of 114223043255440 is 44552340322411.

It is an interprime number because it is at equal distance from previous prime (114223043255437) and next prime (114223043255443).

It is a super-2 number, since 2×1142230432554402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 114223043255393 and 114223043255402.

It is not an unprimeable number, because it can be changed into a prime (114223043255443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4147368070 + ... + 4147395610.

It is an arithmetic number, because the mean of its divisors is an integer number (1902089849976).

Almost surely, 2114223043255440 is an apocalyptic number.

114223043255440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114223043255440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152167187998080).

114223043255440 is an abundant number, since it is smaller than the sum of its proper divisors (190111332740720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114223043255440 is a wasteful number, since it uses less digits than its factorization.

114223043255440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47481 (or 47475 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

Adding to 114223043255440 its reverse (44552340322411), we get a palindrome (158775383577851).

The spelling of 114223043255440 in words is "one hundred fourteen trillion, two hundred twenty-three billion, forty-three million, two hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 379 560 758 1516 1895 2653 3032 3790 5306 6064 7580 10612 13265 15160 19541 21224 26530 27541 30320 39082 42448 53060 55082 78164 97705 106120 110164 136787 137705 156328 192787 195410 212240 220328 273574 275410 312656 385574 390820 440656 547148 550820 683935 771148 781640 963935 1094296 1101640 1367870 1542296 1563280 1927870 2188592 2203280 2735740 3084592 3855740 5471480 7406039 7711480 10438039 10942960 14812078 15422960 20876078 29624156 37030195 41752156 51842273 52190195 59248312 73066273 74060390 83504312 103684546 104380390 118496624 146132546 148120780 167008624 207369092 208760780 259211365 292265092 296241560 365331365 414738184 417521560 518422730 538178681 584530184 592483120 730662730 829476368 835043120 1036845460 1076357362 1169060368 1461325460 2073690920 2152714724 2690893405 2922650920 3767250767 4147381840 4305429448 5381786810 5845301840 7534501534 8610858896 10763573620 15069003068 18836253835 21527147240 30138006136 37672507670 43054294480 60276012272 75345015340 150690030680 203969720099 301380061360 407939440198 815878880396 1019848600495 1427788040693 1631757760792 2039697200990 2855576081386 3263515521584 4079394401980 5711152162772 7138940203465 8158788803960 11422304325544 14277880406930 16317577607920 22844608651088 28555760813860 57111521627720 114223043255440