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142886632140 = 223257196019931
BaseRepresentation
bin1000010100010010110…
…1001111101011001100
3111122211000101222121200
42011010231033223030
54320112434212030
6145350300225500
713215602222310
oct2050455175314
9448730358550
10142886632140
115566386263a
122383853b290
1310621932255
146cb6b63b40
153ab436ed60
hex2144b4facc

142886632140 has 288 divisors, whose sum is σ = 522331031040. Its totient is φ = 30886272000.

The previous prime is 142886632093. The next prime is 142886632157. The reversal of 142886632140 is 41236688241.

142886632140 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 8 + 6 + 632 + 1 + 4 + 0 = 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 95 ways as a sum of consecutive naturals, for example, 14382975 + ... + 14392905.

Almost surely, 2142886632140 is an apocalyptic number.

142886632140 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 142886632140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261165515520).

142886632140 is an abundant number, since it is smaller than the sum of its proper divisors (379444398900).

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

142886632140 is a wasteful number, since it uses less digits than its factorization.

142886632140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10573 (or 10568 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 142886632140 in words is "one hundred forty-two billion, eight hundred eighty-six million, six hundred thirty-two thousand, one hundred forty".