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131441243664 = 2438393263837
BaseRepresentation
bin111101001101010000…
…0100011011000010000
3110120021100220000020210
41322122200203120100
54123142424244124
6140214442004120
712332144064633
oct1723240433020
9416240800223
10131441243664
11508201788a5
12215834a6640
13c519663c33
14650ca75c1a
153644653a29
hex1e9a823610

131441243664 has 40 divisors (see below), whose sum is σ = 339961366080. Its totient is φ = 43761513088.

The previous prime is 131441243653. The next prime is 131441243693. The reversal of 131441243664 is 466342144131.

It is a nude number because it is divisible by every one of its digits.

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, 1591647 + ... + 1672190.

It is an arithmetic number, because the mean of its divisors is an integer number (8499034152).

Almost surely, 2131441243664 is an apocalyptic number.

It is an amenable number.

131441243664 is an abundant number, since it is smaller than the sum of its proper divisors (208520122416).

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

131441243664 is a wasteful number, since it uses less digits than its factorization.

131441243664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3264687 (or 3264681 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

Adding to 131441243664 its reverse (466342144131), we get a palindrome (597783387795).

The spelling of 131441243664 in words is "one hundred thirty-one billion, four hundred forty-one million, two hundred forty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 839 1678 2517 3356 5034 6712 10068 13424 20136 40272 3263837 6527674 9791511 13055348 19583022 26110696 39166044 52221392 78332088 156664176 2738359243 5476718486 8215077729 10953436972 16430155458 21906873944 32860310916 43813747888 65720621832 131441243664