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31428996140022 = 231331311334712487
BaseRepresentation
bin1110010010101101000100…
…01001101000101111110110
311010021120201210001002022220
413021112202021220233312
513104413041002440042
6150502140445503210
76422445552226515
oct711264211505766
9133246653032286
1031428996140022
11a017a64a72528
123637197271b06
13146c98444c110
147a925896a67c
1539781886c8ec
hex1c95a2268bf6

31428996140022 has 128 divisors (see below), whose sum is σ = 70128119513088. Its totient is φ = 9324884419200.

The previous prime is 31428996139993. The next prime is 31428996140137. The reversal of 31428996140022 is 22004169982413.

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 63 ways as a sum of consecutive naturals, for example, 2516931063 + ... + 2516943549.

It is an arithmetic number, because the mean of its divisors is an integer number (547875933696).

Almost surely, 231428996140022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31428996140022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35064059756544).

31428996140022 is an abundant number, since it is smaller than the sum of its proper divisors (38699123373066).

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

31428996140022 is a wasteful number, since it uses less digits than its factorization.

31428996140022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16194.

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 31428996140022 in words is "thirty-one trillion, four hundred twenty-eight billion, nine hundred ninety-six million, one hundred forty thousand, twenty-two".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 186 311 403 622 806 933 1209 1866 2418 3347 4043 6694 8086 9641 10041 12129 12487 19282 20082 24258 24974 28923 37461 43511 57846 74922 87022 103757 125333 130533 162331 207514 250666 261066 311271 324662 375999 387097 486993 622542 751998 774194 973986 1040917 1161291 1348841 2081834 2322582 2697682 3122751 3883457 4046523 5032261 6245502 7766914 8093046 10064522 11650371 13531921 15096783 23300742 27063842 30193566 32268427 40595763 41793989 50484941 64536854 81191526 83587978 96805281 100969882 120387167 125381967 151454823 193610562 240774334 250763934 302909646 361161501 419489551 543321857 722323002 838979102 1086643714 1258468653 1295613659 1565033171 1629965571 2516937306 2591227318 3130066342 3259931142 3886840977 4695099513 7773681954 9390199026 12997930579 16842977567 25995861158 33685955134 38993791737 50528932701 77987583474 101057865402 168973097527 337946195054 402935847949 506919292581 805871695898 1013838585162 1208807543847 2417615087694 5238166023337 10476332046674 15714498070011 31428996140022