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142117908480 = 21237519167
BaseRepresentation
bin1000010001011011100…
…0110011000000000000
3111120211102220210000000
42010112320303000000
54312024141032410
6145142120000000
713160546201412
oct2042670630000
9446742823000
10142117908480
11552a9944129
1223663000000
131052b5b0292
146c42a1a9b2
153a6bb24dc0
hex2116e33000

142117908480 has 832 divisors, whose sum is σ = 541628236800. Its totient is φ = 35688480768.

The previous prime is 142117908419. The next prime is 142117908529. The reversal of 142117908480 is 84809711241.

142117908480 is a `hidden beast` number, since 1 + 421 + 1 + 79 + 0 + 84 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 851005357 + ... + 851005523.

Almost surely, 2142117908480 is an apocalyptic number.

142117908480 is a gapful number since it is divisible by the number (10) 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 142117908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270814118400).

142117908480 is an abundant number, since it is smaller than the sum of its proper divisors (399510328320).

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

142117908480 is an frugal number, since it uses more digits than its factorization.

142117908480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 142117908480 in words is "one hundred forty-two billion, one hundred seventeen million, nine hundred eight thousand, four hundred eighty".