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142624992888 = 233371715673541
BaseRepresentation
bin1000010011010100011…
…1001010111001111000
3111122010210002100001000
42010311013022321320
54314043444233023
6145304312325000
713206244302540
oct2046507127170
9448123070030
10142624992888
115553a0aa154
12237849a3760
13105ac675b21
146c900d8320
153a9b3dc243
hex21351cae78

142624992888 has 256 divisors, whose sum is σ = 479853158400. Its totient is φ = 38317639680.

The previous prime is 142624992863. The next prime is 142624992901. The reversal of 142624992888 is 888299426241.

142624992888 is a `hidden beast` number, since 1 + 4 + 2 + 62 + 499 + 2 + 8 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 63 ways as a sum of consecutive naturals, for example, 40276398 + ... + 40279938.

It is an arithmetic number, because the mean of its divisors is an integer number (1874426400).

Almost surely, 2142624992888 is an apocalyptic number.

142624992888 is a gapful number since it is divisible by the number (18) 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 142624992888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239926579200).

142624992888 is an abundant number, since it is smaller than the sum of its proper divisors (337228165512).

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

142624992888 is a wasteful number, since it uses less digits than its factorization.

142624992888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5147 (or 5137 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 63.

The spelling of 142624992888 in words is "one hundred forty-two billion, six hundred twenty-four million, nine hundred ninety-two thousand, eight hundred eighty-eight".