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14441124210440 = 2352967712617037
BaseRepresentation
bin1101001000100101011000…
…0101000010011100001000
31220010120001202221200001112
43102021112011002130020
53343100410244213230
650414054425505452
73020223343311614
oct322112605023410
956116052850045
1014441124210440
1146684a0156a64
121752953342288
13809a3b521205
1437cd50240344
151a09a7d47d95
hexd2256142708

14441124210440 has 128 divisors (see below), whose sum is σ = 34595148729600. Its totient is φ = 5416636431360.

The previous prime is 14441124210439. The next prime is 14441124210451. The reversal of 14441124210440 is 4401242114441.

It is a super-2 number, since 2×144411242104402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14441124210397 and 14441124210406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4209602 + ... + 6826638.

It is an arithmetic number, because the mean of its divisors is an integer number (270274599450).

Almost surely, 214441124210440 is an apocalyptic number.

14441124210440 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 14441124210440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17297574364800).

14441124210440 is an abundant number, since it is smaller than the sum of its proper divisors (20154024519160).

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

14441124210440 is a wasteful number, since it uses less digits than its factorization.

14441124210440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2617215 (or 2617211 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 14441124210440 its reverse (4401242114441), we get a palindrome (18842366324881).

The spelling of 14441124210440 in words is "fourteen trillion, four hundred forty-one billion, one hundred twenty-four million, two hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 67 71 116 134 142 145 232 268 284 290 335 355 536 568 580 670 710 1160 1340 1420 1943 2059 2680 2840 3886 4118 4757 7772 8236 9514 9715 10295 15544 16472 19028 19430 20590 23785 38056 38860 41180 47570 77720 82360 95140 137953 190280 275906 551812 689765 1103624 1379530 2617037 2759060 5234074 5518120 10468148 13085185 20936296 26170370 52340740 75894073 104681480 151788146 175341479 185809627 303576292 350682958 371619254 379470365 607152584 701365916 743238508 758940730 876707395 929048135 1402731832 1486477016 1517881460 1753414790 1858096270 3035762920 3506829580 3716192540 5084902891 5388479183 7013659160 7432385080 10169805782 10776958366 12449245009 20339611564 21553916732 24898490018 25424514455 26942395915 40679223128 43107833464 49796980036 50849028910 53884791830 62246225045 99593960072 101698057820 107769583660 124492450090 203396115640 215539167320 248984900180 361028105261 497969800360 722056210522 1444112421044 1805140526305 2888224842088 3610281052610 7220562105220 14441124210440