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131034579480 = 233257173058697
BaseRepresentation
bin111101000001001000…
…1010000001000011000
3110112020000200022212100
41322002101100020120
54121324323020410
6140110233443400
712316105356030
oct1720221201030
9415200608770
10131034579480
1150631670aa2
122148b270560
13c48332b23c
1464b0a588c0
15361dac58c0
hex1e82450218

131034579480 has 192 divisors, whose sum is σ = 515329439040. Its totient is φ = 28188942336.

The previous prime is 131034579479. The next prime is 131034579491. The reversal of 131034579480 is 84975430131.

131034579480 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 34 + 579 + 48 + 0 = 666.

It is a super-2 number, since 2×1310345794802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1486509 + ... + 1572188.

It is an arithmetic number, because the mean of its divisors is an integer number (2684007495).

Almost surely, 2131034579480 is an apocalyptic number.

131034579480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131034579480 is an abundant number, since it is smaller than the sum of its proper divisors (384294859560).

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

131034579480 is a wasteful number, since it uses less digits than its factorization.

131034579480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3058738 (or 3058731 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 131034579480 in words is "one hundred thirty-one billion, thirty-four million, five hundred seventy-nine thousand, four hundred eighty".