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131413123114404 = 223171933904314529
BaseRepresentation
bin11101111000010100000000…
…100001011010010110100100
3122020021222020111110100220220
4131320110000201122112210
5114211033034004130104
61143254204430324340
736452166461041335
oct3570240041322644
9566258214410826
10131413123114404
1138965aa107960a
12128a48b10596b0
135843286c083c1
14246460162028c
15102d5548787d9
hex77850085a5a4

131413123114404 has 48 divisors (see below), whose sum is σ = 341755490462400. Its totient is φ = 39057770336256.

The previous prime is 131413123114393. The next prime is 131413123114417. The reversal of 131413123114404 is 404411321314131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16952153389 + ... + 16952161140.

It is an arithmetic number, because the mean of its divisors is an integer number (7119906051300).

Almost surely, 2131413123114404 is an apocalyptic number.

It is an amenable number.

131413123114404 is an abundant number, since it is smaller than the sum of its proper divisors (210342367347996).

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

131413123114404 is a wasteful number, since it uses less digits than its factorization.

131413123114404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33904314572 (or 33904314570 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 131413123114404 its reverse (404411321314131), we get a palindrome (535824444428535).

The spelling of 131413123114404 in words is "one hundred thirty-one trillion, four hundred thirteen billion, one hundred twenty-three million, one hundred fourteen thousand, four hundred four".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 646 969 1292 1938 3876 33904314529 67808629058 101712943587 135617258116 203425887174 406851774348 576373346993 644181976051 1152746693986 1288363952102 1729120040979 1932545928153 2305493387972 2576727904204 3458240081958 3865091856306 6916480163916 7730183712612 10951093592867 21902187185734 32853280778601 43804374371468 65706561557202 131413123114404