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142242618816 = 2632246948991
BaseRepresentation
bin1000010001111001010…
…0100001110111000000
3111121011010120201102100
42010132110201313000
54312303102300231
6145202332550400
713163622211404
oct2043624416700
9447133521370
10142242618816
1155363282921
1223698922400
131054b39618c
146c55401104
153a77a5b1e6
hex211e521dc0

142242618816 has 42 divisors (see below), whose sum is σ = 407712785792. Its totient is φ = 47414206080.

The previous prime is 142242618779. The next prime is 142242618821. The reversal of 142242618816 is 618816242241.

142242618816 is a `hidden beast` number, since 1 + 4 + 2 + 24 + 2 + 618 + 8 + 1 + 6 = 666.

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 5 ways as a sum of consecutive naturals, for example, 123473920 + ... + 123475071.

Almost surely, 2142242618816 is an apocalyptic number.

142242618816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

142242618816 is an abundant number, since it is smaller than the sum of its proper divisors (265470166976).

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

142242618816 is a wasteful number, since it uses less digits than its factorization.

142242618816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246949009 (or 246948996 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The spelling of 142242618816 in words is "one hundred forty-two billion, two hundred forty-two million, six hundred eighteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 246948991 493897982 740846973 987795964 1481693946 1975591928 2222540919 2963387892 3951183856 4445081838 5926775784 7902367712 8890163676 11853551568 15804735424 17780327352 23707103136 35560654704 47414206272 71121309408 142242618816