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131143242443400 = 2332521122928923127
BaseRepresentation
bin11101110100011000101010…
…011000010110101010001000
3122012100011122001100210011100
4131310120222120112222020
5114142122330031142100
61142530212431101400
736423533542142535
oct3564305230265210
9565304561323140
10131143242443400
113887159a509a50
1212860532671860
1358239a70c2275
14245551c709d8c
15102650b515400
hex77462a616a88

131143242443400 has 288 divisors, whose sum is σ = 482559252177600. Its totient is φ = 31653469094400.

The previous prime is 131143242443393. The next prime is 131143242443417. The reversal of 131143242443400 is 4344242341131.

131143242443400 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 4 + 3 + 2 + 4 + 244 + 3 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9927364 + ... + 18995763.

It is an arithmetic number, because the mean of its divisors is an integer number (1675552958950).

Almost surely, 2131143242443400 is an apocalyptic number.

131143242443400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131143242443400 is an abundant number, since it is smaller than the sum of its proper divisors (351416009734200).

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

131143242443400 is a wasteful number, since it uses less digits than its factorization.

131143242443400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28923389 (or 28923377 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 131143242443400 its reverse (4344242341131), we get a palindrome (135487484784531).

The spelling of 131143242443400 in words is "one hundred thirty-one trillion, one hundred forty-three billion, two hundred forty-two million, four hundred forty-three thousand, four hundred".