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14040014555120 = 2451923574369929
BaseRepresentation
bin1100110001001111001000…
…0101001000011111110000
31211201012201202100222010112
43030103302011020133300
53320012422211230440
645505521005520452
72646233435432111
oct314236205103760
954635652328115
1014040014555120
114523378215154
1216a9070573128
137aac770314b8
1436777c948208
1519532dd0c965
hexcc4f21487f0

14040014555120 has 160 divisors (see below), whose sum is σ = 35861804697600. Its totient is φ = 5088144771072.

The previous prime is 14040014555111. The next prime is 14040014555123. The reversal of 14040014555120 is 2155541004041.

It is a happy number.

It is a super-3 number, since 3×140400145551203 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14040014555123) 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, 200740316 + ... + 200810244.

It is an arithmetic number, because the mean of its divisors is an integer number (224136279360).

Almost surely, 214040014555120 is an apocalyptic number.

14040014555120 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 14040014555120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17930902348800).

14040014555120 is an abundant number, since it is smaller than the sum of its proper divisors (21821790142480).

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

14040014555120 is a wasteful number, since it uses less digits than its factorization.

14040014555120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75727 (or 75721 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 32.

Adding to 14040014555120 its reverse (2155541004041), we get a palindrome (16195555559161).

The spelling of 14040014555120 in words is "fourteen trillion, forty billion, fourteen million, five hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 23 38 40 46 76 80 92 95 115 152 184 190 230 304 368 380 437 460 760 874 920 1520 1748 1840 2185 3496 4370 5743 6992 8740 11486 17480 22972 28715 34960 45944 57430 69929 91888 109117 114860 132089 139858 218234 229720 264178 279716 349645 436468 459440 528356 545585 559432 660445 699290 872936 1056712 1091170 1118864 1320890 1328651 1398580 1608367 1745872 2113424 2182340 2509691 2641780 2657302 2797160 3216734 4364680 5019382 5283560 5314604 5594320 6433468 6643255 8041835 8729360 10038764 10567120 10629208 12548455 12866936 13286510 16083670 20077528 21258416 25096910 25733872 26573020 30558973 32167340 40155056 50193820 53146040 61117946 64334680 100387640 106292080 122235892 128669360 152794865 200775280 244471784 305589730 401602247 488943568 611179460 803204494 1222358920 1606408988 2008011235 2444717840 3212817976 4016022470 6425635952 7630442693 8032044940 9236851681 15260885386 16064089880 18473703362 30521770772 32128179760 36947406724 38152213465 46184258405 61043541544 73894813448 76304426930 92368516810 122087083088 147789626896 152608853860 175500181939 184737033620 305217707720 351000363878 369474067240 610435415440 702000727756 738948134480 877500909695 1404001455512 1755001819390 2808002911024 3510003638780 7020007277560 14040014555120