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131424032320 = 265758671443
BaseRepresentation
bin111101001100101111…
…0111001011001000000
3110120020011111120201121
41322121132321121000
54123124023013240
6140213025042024
712331544562040
oct1723136713100
9416204446647
10131424032320
1150811492749
1221579786314
13c515c18bc9
14650a675720
153642da404a
hex1e997b9640

131424032320 has 56 divisors (see below), whose sum is σ = 357661122624. Its totient is φ = 45059667456.

The previous prime is 131424032297. The next prime is 131424032357. The reversal of 131424032320 is 23230424131.

It is a tau number, because it is divible by the number of its divisors (56).

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 7 ways as a sum of consecutive naturals, for example, 29333482 + ... + 29337961.

Almost surely, 2131424032320 is an apocalyptic number.

131424032320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131424032320 is an abundant number, since it is smaller than the sum of its proper divisors (226237090304).

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

131424032320 is an equidigital number, since it uses as much as digits as its factorization.

131424032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58671467 (or 58671457 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 131424032320 its reverse (23230424131), we get a palindrome (154654456451).

The spelling of 131424032320 in words is "one hundred thirty-one billion, four hundred twenty-four million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 58671443 117342886 234685772 293357215 410700101 469371544 586714430 821400202 938743088 1173428860 1642800404 1877486176 2053500505 2346857720 3285600808 3754972352 4107001010 4693715440 6571201616 8214002020 9387430880 13142403232 16428004040 18774861760 26284806464 32856008080 65712016160 131424032320