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142058052864 = 28327213432251
BaseRepresentation
bin1000010001001101010…
…0011101110100000000
3111120200021021210112100
42010103110131310000
54311413330142424
6145132141030400
713156221345300
oct2042324356400
9446607253470
10142058052864
1155279081782
1223646b55400
131051c083c60
146c38ab9600
153a6674edc9
hex211351dd00

142058052864 has 648 divisors, whose sum is σ = 525276784032. Its totient is φ = 36578304000.

The previous prime is 142058052809. The next prime is 142058052887. The reversal of 142058052864 is 468250850241.

142058052864 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 580 + 5 + 2 + 8 + 64 = 666.

It is a super-2 number, since 2×1420580528642 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 63107739 + ... + 63109989.

Almost surely, 2142058052864 is an apocalyptic number.

142058052864 is a gapful number since it is divisible by the number (14) 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 142058052864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262638392016).

142058052864 is an abundant number, since it is smaller than the sum of its proper divisors (383218731168).

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

142058052864 is a wasteful number, since it uses less digits than its factorization.

142058052864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 142058052864 in words is "one hundred forty-two billion, fifty-eight million, fifty-two thousand, eight hundred sixty-four".