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131414044000221 = 342761158759031
BaseRepresentation
bin11101111000010100110111…
…011010010011111111011101
3122020022001121200021012210000
4131320110313122103333131
5114211041430231001341
61143254440044204513
736452231342325543
oct3570246732237735
9566261550235700
10131414044000221
1138966423976774
12128a4b09539739
1358433a2935458
14246468ba55d93
15102d5aa62d8b6
hex778537693fdd

131414044000221 has 20 divisors (see below), whose sum is σ = 196316981381664. Its totient is φ = 87606188188200.

The previous prime is 131414044000177. The next prime is 131414044000237. The reversal of 131414044000221 is 122000440414131.

131414044000221 is a `hidden beast` number, since 1 + 31 + 4 + 1 + 4 + 0 + 4 + 400 + 0 + 221 = 666.

It is not a de Polignac number, because 131414044000221 - 223 = 131414035611613 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131414054000221) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27143025 + ... + 31616006.

Almost surely, 2131414044000221 is an apocalyptic number.

It is an amenable number.

131414044000221 is a deficient number, since it is larger than the sum of its proper divisors (64902937381443).

131414044000221 is an equidigital number, since it uses as much as digits as its factorization.

131414044000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58786654 (or 58786645 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 131414044000221 its reverse (122000440414131), we get a palindrome (253414484414352).

The spelling of 131414044000221 in words is "one hundred thirty-one trillion, four hundred fourteen billion, forty-four million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 9 27 81 27611 82833 248499 745497 2236491 58759031 176277093 528831279 1586493837 4759481511 1622395604941 4867186814823 14601560444469 43804681333407 131414044000221