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131414915464 = 2373763424187
BaseRepresentation
bin111101001100011110…
…0000111100110001000
3110120012112100101202021
41322120330013212020
54123114204243324
6140212101414224
712331404231220
oct1723074074610
9416175311667
10131414915464
1150807326058
122157670a374
13c514076311
146509381080
1536421a2ae4
hex1e98f07988

131414915464 has 32 divisors (see below), whose sum is σ = 289214297280. Its totient is φ = 54798496704.

The previous prime is 131414915453. The next prime is 131414915473. The reversal of 131414915464 is 464519414131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 131414915464.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31710022 + ... + 31714165.

It is an arithmetic number, because the mean of its divisors is an integer number (9037946790).

Almost surely, 2131414915464 is an apocalyptic number.

131414915464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131414915464 is an abundant number, since it is smaller than the sum of its proper divisors (157799381816).

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

131414915464 is a wasteful number, since it uses less digits than its factorization.

131414915464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63424237 (or 63424233 counting only the distinct ones).

The product of its digits is 207360, while the sum is 43.

The spelling of 131414915464 in words is "one hundred thirty-one billion, four hundred fourteen million, nine hundred fifteen thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 259 296 518 1036 2072 63424187 126848374 253696748 443969309 507393496 887938618 1775877236 2346694919 3551754472 4693389838 9386779676 16426864433 18773559352 32853728866 65707457732 131414915464