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131714006076 = 223233749921757
BaseRepresentation
bin111101010101011000…
…1000011110000111100
3110120222101010202221100
41322222301003300330
54124222241143301
6140301504133100
712341665402422
oct1725261036074
9416871122840
10131714006076
1150950139284
122163a907190
13c561016203
146536d99112
15365d582286
hex1eaac43c3c

131714006076 has 72 divisors (see below), whose sum is σ = 334616282000. Its totient is φ = 43684655616.

The previous prime is 131714006059. The next prime is 131714006089. The reversal of 131714006076 is 670600417131.

131714006076 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 1 + 40 + 0 + 607 + 6 = 666.

131714006076 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 131714006076.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 6042990 + ... + 6064746.

Almost surely, 2131714006076 is an apocalyptic number.

It is an amenable number.

131714006076 is an abundant number, since it is smaller than the sum of its proper divisors (202902275924).

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

131714006076 is a wasteful number, since it uses less digits than its factorization.

131714006076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22603 (or 22598 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 131714006076 in words is "one hundred thirty-one billion, seven hundred fourteen million, six thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 337 499 674 998 1011 1348 1497 1996 2022 2994 3033 4044 4491 5988 6066 8982 12132 17964 21757 43514 65271 87028 130542 168163 195813 261084 336326 391626 504489 672652 783252 1008978 1513467 2017956 3026934 6053868 7332109 10856743 14664218 21713486 21996327 29328436 32570229 43426972 43992654 65140458 65988981 87985308 97710687 130280916 131977962 195421374 263955924 390842748 3658722391 7317444782 10976167173 14634889564 21952334346 32928501519 43904668692 65857003038 131714006076