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131420954880 = 2832523563881
BaseRepresentation
bin111101001100101001…
…1001010000100000000
3110120012221201020021100
41322121103022010000
54123122231024010
6140212435054400
712331506453645
oct1723123120400
9416187636240
10131420954880
115080a780606
1221578741400
13c5153ac237
14650a0b3dcc
1536429972c0
hex1e994ca100

131420954880 has 432 divisors, whose sum is σ = 475854777216. Its totient is φ = 33424343040.

The previous prime is 131420954837. The next prime is 131420954893. The reversal of 131420954880 is 88459024131.

131420954880 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 20 + 9 + 548 + 80 = 666.

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

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, 149172040 + ... + 149172920.

It is an arithmetic number, because the mean of its divisors is an integer number (1101515688).

Almost surely, 2131420954880 is an apocalyptic number.

131420954880 is a gapful number since it is divisible by the number (10) 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 131420954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237927388608).

131420954880 is an abundant number, since it is smaller than the sum of its proper divisors (344433822336).

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

131420954880 is a wasteful number, since it uses less digits than its factorization.

131420954880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 131420954880 in words is "one hundred thirty-one billion, four hundred twenty million, nine hundred fifty-four thousand, eight hundred eighty".