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142046567424 = 2103247353929
BaseRepresentation
bin1000010001001010100…
…0101001110000000000
3111120122110200021110200
42010102220221300000
54311402410124144
6145131050525200
713156021621116
oct2042250516000
9446573607420
10142046567424
1155272647583
1223643136800
1310519892238
146c37369ab6
153a65731c69
hex2112a29c00

142046567424 has 264 divisors, whose sum is σ = 420521924160. Its totient is φ = 46160412672.

The previous prime is 142046567423. The next prime is 142046567431. The reversal of 142046567424 is 424765640241.

It is a happy number.

142046567424 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 46 + 567 + 42 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 142046567424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142046567423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152902192 + ... + 152903120.

Almost surely, 2142046567424 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 142046567424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210260962080).

142046567424 is an abundant number, since it is smaller than the sum of its proper divisors (278475356736).

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

142046567424 is a wasteful number, since it uses less digits than its factorization.

142046567424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 142046567424 in words is "one hundred forty-two billion, forty-six million, five hundred sixty-seven thousand, four hundred twenty-four".