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141318404136 = 233472131937487
BaseRepresentation
bin1000001110011100111…
…0111011100000101000
3111111202201111202020000
42003213032323200220
54303410002413021
6144530515503000
713132000421100
oct2034716734050
9444681452200
10141318404136
1154a29611738
122347b2b7a60
1310431a71ba0
146ba8780200
153a21849b26
hex20e73bb828

141318404136 has 960 divisors, whose sum is σ = 537171465600. Its totient is φ = 34284321792.

The previous prime is 141318404119. The next prime is 141318404137. The reversal of 141318404136 is 631404813141.

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

It is a self number, because there is not a number n which added to its sum of digits gives 141318404136.

It is not an unprimeable number, because it can be changed into a prime (141318404137) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 290181285 + ... + 290181771.

It is an arithmetic number, because the mean of its divisors is an integer number (559553610).

Almost surely, 2141318404136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141318404136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268585732800).

141318404136 is an abundant number, since it is smaller than the sum of its proper divisors (395853061464).

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

141318404136 is a wasteful number, since it uses less digits than its factorization.

141318404136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 141318404136 in words is "one hundred forty-one billion, three hundred eighteen million, four hundred four thousand, one hundred thirty-six".