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142590092603904 = 293211172337337577
BaseRepresentation
bin100000011010111101010111…
…110100010111001000000000
3200200212110221201102120121100
4200122331113310113020000
5122142144002201311104
61223132552332254400
742014536264126341
oct4032752764271000
9620773851376540
10142590092603904
1141485133a60270
1213baaab9611400
13617425a168cca
14272d57c2c60c8
15117416766c139
hex81af57d17200

142590092603904 has 1920 divisors, whose sum is σ = 511813944525312. Its totient is φ = 37670218629120.

The previous prime is 142590092603897. The next prime is 142590092603971. The reversal of 142590092603904 is 409306290095241.

142590092603904 is a `hidden beast` number, since 1 + 4 + 25 + 9 + 0 + 0 + 9 + 2 + 603 + 9 + 0 + 4 = 666.

142590092603904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 247123210464 + ... + 247123211040.

Almost surely, 2142590092603904 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 142590092603904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255906972262656).

142590092603904 is an abundant number, since it is smaller than the sum of its proper divisors (369223851921408).

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

142590092603904 is a wasteful number, since it uses less digits than its factorization.

142590092603904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 142590092603904 in words is "one hundred forty-two trillion, five hundred ninety billion, ninety-two million, six hundred three thousand, nine hundred four".