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142603591680 = 21332511223139
BaseRepresentation
bin1000010011001111010…
…1100010000000000000
3111122002021211001002200
42010303311202000000
54314023004413210
6145302225513200
713205564346414
oct2046365420000
9448067731080
10142603591680
1155529012100
12237797a2800
13105a80c19a4
146c8b326d44
153a995b10c0
hex2133d62000

142603591680 has 1008 divisors, whose sum is σ = 571056333120. Its totient is φ = 32829603840.

The previous prime is 142603591679. The next prime is 142603591681. The reversal of 142603591680 is 86195306241.

It is an interprime number because it is at equal distance from previous prime (142603591679) and next prime (142603591681).

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

It is not an unprimeable number, because it can be changed into a prime (142603591681) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1025925051 + ... + 1025925189.

It is an arithmetic number, because the mean of its divisors is an integer number (566524140).

Almost surely, 2142603591680 is an apocalyptic number.

142603591680 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 142603591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285528166560).

142603591680 is an abundant number, since it is smaller than the sum of its proper divisors (428452741440).

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

142603591680 is a wasteful number, since it uses less digits than its factorization.

142603591680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 142603591680 in words is "one hundred forty-two billion, six hundred three million, five hundred ninety-one thousand, six hundred eighty".