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2131321402144 = 251121319294523
BaseRepresentation
bin11111000000111100101…
…001111011001100100000
321112202022110020021120001
4133000330221323030200
5234404421234332034
64311040542225344
7306661063001554
oct37007451731440
97482273207501
102131321402144
11751985405a00
122a5093285254
13125ca112855c
147522964b864
153a691d5ca14
hex1f03ca7b320

2131321402144 has 144 divisors (see below), whose sum is σ = 4653413724960. Its totient is φ = 960139980800.

The previous prime is 2131321402139. The next prime is 2131321402159. The reversal of 2131321402144 is 4412041231312.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 471216267 + ... + 471220789.

It is an arithmetic number, because the mean of its divisors is an integer number (32315373090).

Almost surely, 22131321402144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131321402144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326706862480).

2131321402144 is an abundant number, since it is smaller than the sum of its proper divisors (2522092322816).

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

2131321402144 is a wasteful number, since it uses less digits than its factorization.

2131321402144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5615 (or 5596 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 2131321402144 its reverse (4412041231312), we get a palindrome (6543362633456).

The spelling of 2131321402144 in words is "two trillion, one hundred thirty-one billion, three hundred twenty-one million, four hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 131 176 242 262 352 484 524 929 968 1048 1441 1858 1936 2096 2882 3716 3872 4192 4523 5764 7432 9046 10219 11528 14864 15851 18092 20438 23056 29728 31702 36184 40876 46112 49753 63404 72368 81752 99506 112409 121699 126808 144736 163504 199012 224818 243398 253616 327008 398024 449636 486796 507232 547283 592513 796048 899272 973592 1094566 1185026 1338689 1592096 1798544 1947184 2189132 2370052 2677378 3597088 3894368 4201867 4378264 4740104 5354756 6517643 8403734 8756528 9480208 10709512 13035286 14725579 16807468 17513056 18960416 21419024 26070572 29451158 33614936 42838048 46220537 52141144 58902316 67229872 71694073 92441074 104282288 117804632 134459744 143388146 184882148 208564576 235609264 286776292 369764296 471218528 508425907 550444577 573552584 739528592 1016851814 1100889154 1147105168 1479057184 2033703628 2201778308 2294210336 4067407256 4403556616 6054890347 8134814512 8807113232 12109780694 16269629024 17614226464 24219561388 48439122776 66603793817 96878245552 133207587634 193756491104 266415175268 532830350536 1065660701072 2131321402144