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13142111441240 = 23526340113732269
BaseRepresentation
bin1011111100111110001011…
…1000100101000101011000
31201112101002100020201220002
42333033202320211011120
53210310021012104430
643541222545552132
72524325526046145
oct277174270450530
951471070221802
1013142111441240
1142075a13269a1
121583042645648
137443acb12b12
1433611dc3b3cc
1517bcca930845
hexbf3e2e25158

13142111441240 has 128 divisors (see below), whose sum is σ = 29790999849600. Its totient is φ = 5217691852800.

The previous prime is 13142111441227. The next prime is 13142111441267. The reversal of 13142111441240 is 4214411124131.

It is a super-3 number, since 3×131421114412403 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5792026826 + ... + 5792029094.

It is an arithmetic number, because the mean of its divisors is an integer number (232742186325).

Almost surely, 213142111441240 is an apocalyptic number.

13142111441240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13142111441240 is an abundant number, since it is smaller than the sum of its proper divisors (16648888408360).

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

13142111441240 is a wasteful number, since it uses less digits than its factorization.

13142111441240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4317 (or 4313 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

Adding to 13142111441240 its reverse (4214411124131), we get a palindrome (17356522565371).

The spelling of 13142111441240 in words is "thirteen trillion, one hundred forty-two billion, one hundred eleven million, four hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 263 401 526 802 1052 1315 1373 1604 2005 2104 2269 2630 2746 3208 4010 4538 5260 5492 6865 8020 9076 10520 10984 11345 13730 16040 18152 22690 27460 45380 54920 90760 105463 210926 361099 421852 527315 550573 596747 722198 843704 909869 1054630 1101146 1193494 1444396 1805495 1819738 2109260 2202292 2386988 2752865 2888792 2983735 3115337 3610990 3639476 4218520 4404584 4549345 4773976 5505730 5967470 6230674 7221980 7278952 9098690 11011460 11934940 12461348 14443960 15576685 18197380 22022920 23869880 24922696 31153370 36394760 62306740 124613480 144800699 239295547 289601398 478591094 579202796 724003495 819333631 957182188 1158405592 1196477735 1249250137 1448006990 1638667262 1914364376 2392955470 2498500274 2896013980 3277334524 4096668155 4785910940 4997000548 5792027960 6246250685 6554669048 8193336310 9571821880 9994001096 12492501370 16386672620 24985002740 32773345240 49970005480 328552786031 657105572062 1314211144124 1642763930155 2628422288248 3285527860310 6571055720620 13142111441240