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142662949344 = 2532233143107151
BaseRepresentation
bin1000010011011101011…
…1111101100111100000
3111122020102111201111200
42010313113331213200
54314133203334334
6145312150041200
713210215030006
oct2046727754740
9448212451450
10142662949344
1155559574423
1223795649200
13105b74a5476
146c95178a76
153a9e8d8799
hex21375fd9e0

142662949344 has 576 divisors, whose sum is σ = 454323437568. Its totient is φ = 42311808000.

The previous prime is 142662949327. The next prime is 142662949409. The reversal of 142662949344 is 443949266241.

142662949344 is a `hidden beast` number, since 1 + 4 + 2 + 6 + 6 + 294 + 9 + 344 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 944787669 + ... + 944787819.

It is an arithmetic number, because the mean of its divisors is an integer number (788755968).

Almost surely, 2142662949344 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 142662949344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227161718784).

142662949344 is an abundant number, since it is smaller than the sum of its proper divisors (311660488224).

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

142662949344 is a wasteful number, since it uses less digits than its factorization.

142662949344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 360 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 142662949344 in words is "one hundred forty-two billion, six hundred sixty-two million, nine hundred forty-nine thousand, three hundred forty-four".