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131486022432 = 25322329292
BaseRepresentation
bin111101001110100101…
…1010111101100100000
3110120101111011000011200
41322131023113230200
54123240410204212
6140223121441200
712333226515162
oct1723513275440
9416344130150
10131486022432
1150843482846
12215964a0200
13c525a1194b
1465149b0932
15364854b6dc
hex1e9d2d7b20

131486022432 has 162 divisors, whose sum is σ = 391298513697. Its totient is φ = 41877952512.

The previous prime is 131486022431. The next prime is 131486022557. The reversal of 131486022432 is 234220684131.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

131486022432 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 8 + 602 + 2 + 43 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 83824146576 + 47661875856 = 289524^2 + 218316^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=256404.

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

It is not an unprimeable number, because it can be changed into a prime (131486022431) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 141534544 + ... + 141535472.

Almost surely, 2131486022432 is an apocalyptic number.

131486022432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131486022432

131486022432 is an abundant number, since it is smaller than the sum of its proper divisors (259812491265).

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

131486022432 is an frugal number, since it uses more digits than its factorization.

131486022432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 131486022432 in words is "one hundred thirty-one billion, four hundred eighty-six million, twenty-two thousand, four hundred thirty-two".