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142331633976 = 23373236731117
BaseRepresentation
bin1000010010001110100…
…0000110000100111000
3111121101100002011021010
42010203220012010320
54312443344241401
6145215232513520
713166052633000
oct2044350060470
9447340064233
10142331633976
11553a9551274
12237026ab8a0
1310563961a7c
146c63173000
153a80790ed6
hex2123a06138

142331633976 has 256 divisors, whose sum is σ = 434034432000. Its totient is φ = 38805516288.

The previous prime is 142331633921. The next prime is 142331634031. The reversal of 142331633976 is 679336133241.

It is an interprime number because it is at equal distance from previous prime (142331633921) and next prime (142331634031).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127422570 + ... + 127423686.

It is an arithmetic number, because the mean of its divisors is an integer number (1695447000).

Almost surely, 2142331633976 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 142331633976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217017216000).

142331633976 is an abundant number, since it is smaller than the sum of its proper divisors (291702798024).

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

142331633976 is a wasteful number, since it uses less digits than its factorization.

142331633976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1825 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 48.

The spelling of 142331633976 in words is "one hundred forty-two billion, three hundred thirty-one million, six hundred thirty-three thousand, nine hundred seventy-six".