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231411411001044 = 22326721431965861
BaseRepresentation
bin110100100111011110101010…
…111100110001111011010100
31010100100201022010010112012200
4310213132222330301323110
5220312421032204013134
62140100533512444500
766512631330410511
oct6447365274617324
91110321263115180
10231411411001044
116780a03469966a
1221b550b93a9730
139c18005423301
14412052ccb6308
151bb481dba0499
hexd277aaf31ed4

231411411001044 has 54 divisors (see below), whose sum is σ = 593817627415194. Its totient is φ = 75985836395040.

The previous prime is 231411411001039. The next prime is 231411411001061. The reversal of 231411411001044 is 440100114114132.

231411411001044 is a `hidden beast` number, since 2 + 3 + 1 + 411 + 41 + 100 + 104 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 224958601904400 + 6452809096644 = 14998620^2 + 2540238^2 .

It is a super-2 number, since 2×2314114110010442 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 231411411000999 and 231411411001017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 715821327 + ... + 716144534.

It is an arithmetic number, because the mean of its divisors is an integer number (10996622729911).

Almost surely, 2231411411001044 is an apocalyptic number.

It is an amenable number.

231411411001044 is an abundant number, since it is smaller than the sum of its proper divisors (362406216414150).

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

231411411001044 is a wasteful number, since it uses less digits than its factorization.

231411411001044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431966005 (or 1431965933 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 231411411001044 its reverse (440100114114132), we get a palindrome (671511525115176).

The spelling of 231411411001044 in words is "two hundred thirty-one trillion, four hundred eleven billion, four hundred eleven million, one thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 2412 4489 8978 13467 17956 26934 40401 53868 80802 161604 1431965861 2863931722 4295897583 5727863444 8591795166 12887692749 17183590332 25775385498 51550770996 95941712687 191883425374 287825138061 383766850748 575650276122 863475414183 1151300552244 1726950828366 3453901656732 6428094750029 12856189500058 19284284250087 25712379000116 38568568500174 57852852750261 77137137000348 115705705500522 231411411001044