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141318326160 = 243351119714409
BaseRepresentation
bin1000001110011100111…
…0101000011110010000
3111111202201100210021000
42003213032220132100
54303404442414120
6144530514102000
713131666644544
oct2034716503620
9444681323230
10141318326160
1154a295690a0
122347b27a900
1310431a4554b
146ba875da24
153a21831990
hex20e73a8790

141318326160 has 640 divisors, whose sum is σ = 566963712000. Its totient is φ = 31991500800.

The previous prime is 141318326147. The next prime is 141318326197. The reversal of 141318326160 is 61623813141.

141318326160 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 1 + 8 + 32 + 616 + 0 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32050036 + ... + 32054444.

It is an arithmetic number, because the mean of its divisors is an integer number (885880800).

Almost surely, 2141318326160 is an apocalyptic number.

141318326160 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 141318326160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283481856000).

141318326160 is an abundant number, since it is smaller than the sum of its proper divisors (425645385840).

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

141318326160 is a wasteful number, since it uses less digits than its factorization.

141318326160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4532 (or 4520 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 141318326160 in words is "one hundred forty-one billion, three hundred eighteen million, three hundred twenty-six thousand, one hundred sixty".