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131433211402344 = 233241103343101109
BaseRepresentation
bin11101111000100110101101…
…111000001001100001101000
3122020100220002111010010110100
4131320212231320021201220
5114211400204104333334
61143311330032145400
736453510334500435
oct3570465570114150
9566326074103410
10131433211402344
113897356a41a675
12128a8778698260
135845138985907
142465589528b8c
15102dd2d233c99
hex7789ade09868

131433211402344 has 96 divisors (see below), whose sum is σ = 365000025990600. Its totient is φ = 42701129717760.

The previous prime is 131433211402331. The next prime is 131433211402373. The reversal of 131433211402344 is 443204112334131.

131433211402344 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 3 + 3 + 211 + 402 + 34 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82910312360100 + 48522899042244 = 9105510^2 + 6965838^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 131433211402299 and 131433211402308.

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 23 ways as a sum of consecutive naturals, for example, 18501139 + ... + 24599970.

Almost surely, 2131433211402344 is an apocalyptic number.

It is an amenable number.

131433211402344 is an abundant number, since it is smaller than the sum of its proper divisors (233566814588256).

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

131433211402344 is a wasteful number, since it uses less digits than its factorization.

131433211402344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43102195 (or 43102188 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 131433211402344 its reverse (443204112334131), we get a palindrome (574637323736475).

The spelling of 131433211402344 in words is "one hundred thirty-one trillion, four hundred thirty-three billion, two hundred eleven million, four hundred two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1033 1476 2066 2952 3099 4132 6198 8264 9297 12396 18594 24792 37188 42353 74376 84706 127059 169412 254118 338824 381177 508236 762354 1016472 1524708 3049416 43101109 86202218 129303327 172404436 258606654 344808872 387909981 517213308 775819962 1034426616 1551639924 1767145469 3103279848 3534290938 5301436407 7068581876 10602872814 14137163752 15904309221 21205745628 31808618442 42411491256 44523445597 63617236884 89046891194 127234473768 133570336791 178093782388 267140673582 356187564776 400711010373 534281347164 801422020746 1068562694328 1602844041492 1825461269477 3205688082984 3650922538954 5476383808431 7301845077908 10952767616862 14603690155816 16429151425293 21905535233724 32858302850586 43811070467448 65716605701172 131433211402344