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321002241041394 = 233113752128033813
BaseRepresentation
bin100100011111100110010100…
…0100011001010001111110010
31120002120111220002202012212000
41020333030220203022033302
5314033300042201311034
63054414221014114430
7124420434531013263
oct11077145043121762
91502514802665760
10321002241041394
1193310316613a80
123000447504ba16
1310a164c6055583
14593a83c9bc96a
15271a011a83599
hex123f3288ca3f2

321002241041394 has 128 divisors (see below), whose sum is σ = 800753377685760. Its totient is φ = 94462732915200.

The previous prime is 321002241041381. The next prime is 321002241041401. The reversal of 321002241041394 is 493140142200123.

321002241041394 is a `hidden beast` number, since 3 + 2 + 1 + 0 + 0 + 224 + 1 + 0 + 41 + 394 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2566369 + ... + 25467444.

It is an arithmetic number, because the mean of its divisors is an integer number (6255885763170).

Almost surely, 2321002241041394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321002241041394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400376688842880).

321002241041394 is an abundant number, since it is smaller than the sum of its proper divisors (479751136644366).

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

321002241041394 is a wasteful number, since it uses less digits than its factorization.

321002241041394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28034393 (or 28034387 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 321002241041394 in words is "three hundred twenty-one trillion, two billion, two hundred forty-one million, forty-one thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 37 54 66 74 99 111 198 222 297 333 407 521 594 666 814 999 1042 1221 1563 1998 2442 3126 3663 4689 5731 7326 9378 10989 11462 14067 17193 19277 21978 28134 34386 38554 51579 57831 103158 115662 154737 173493 212047 309474 346986 424094 520479 636141 1040958 1272282 1908423 3816846 5725269 11450538 28033813 56067626 84101439 168202878 252304317 308371943 504608634 616743886 756912951 925115829 1037251081 1513825902 1850231658 2074502162 2775347487 3111753243 5550694974 6223506486 8326042461 9335259729 11409761891 14605616573 16652084922 18670519458 22819523782 28005779187 29211233146 34229285673 43816849719 56011558374 68458571346 87633699438 102687857019 131450549157 160661782303 205375714038 262901098314 308063571057 321323564606 394351647471 481985346909 540407813201 616127142114 788703294942 963970693818 1080815626402 1445956040727 1621223439603 2891912081454 3242446879206 4337868122181 4863670318809 5944485945211 8675736244362 9727340637618 11888971890422 14591010956427 17833457835633 29182021912854 35666915671266 53500373506899 107000747013798 160501120520697 321002241041394