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431014133441012 = 221133791237172681
BaseRepresentation
bin110001000000000010100110…
…0010100010010000111110100
32002112002112211000221111100012
41202000011030110102013310
5422443213421130103022
64124405054233235352
7156533513012341142
oct14200051424220764
92075075730844305
10431014133441012
111153750818a3000
1240411515262b58
13156665c60b6484
1478612a412c592
1534c6a0035ede2
hex188014c5121f4

431014133441012 has 96 divisors (see below), whose sum is σ = 832511857779840. Its totient is φ = 195239495404800.

The previous prime is 431014133441009. The next prime is 431014133441039. The reversal of 431014133441012 is 210144331410134.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 431014133441012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2495927312 + ... + 2496099992.

It is an arithmetic number, because the mean of its divisors is an integer number (8671998518540).

Almost surely, 2431014133441012 is an apocalyptic number.

It is an amenable number.

431014133441012 is a deficient number, since it is larger than the sum of its proper divisors (401497724338828).

431014133441012 is a wasteful number, since it uses less digits than its factorization.

431014133441012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174334 (or 174310 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 431014133441012 its reverse (210144331410134), we get a palindrome (641158464851146).

The spelling of 431014133441012 in words is "four hundred thirty-one trillion, fourteen billion, one hundred thirty-three million, four hundred forty-one thousand, twelve".

Divisors: 1 2 4 11 22 44 121 242 379 484 758 1237 1331 1516 2474 2662 4169 4948 5324 8338 13607 16676 27214 45859 54428 91718 149677 172681 183436 299354 345362 468823 504449 598708 690724 937646 1008898 1646447 1875292 1899491 2017796 3292894 3798982 5157053 6585788 7597964 10314106 20628212 20894401 41788802 56727583 65446099 83577604 113455166 130892198 213606397 226910332 229838411 261784396 427212794 459676822 624003413 719907089 854425588 919353644 1248006826 1439814178 2349670367 2496013652 2879628356 4699340734 7918977979 9398681468 15837955958 25846374037 31675911916 51692748074 80956824463 87108757769 103385496148 161913648926 174217515538 284310114407 323827297852 348435031076 568620228814 890525069093 1137240457628 1781050138186 3562100276372 9795775760023 19591551520046 39183103040092 107753533360253 215507066720506 431014133441012