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142854120864 = 25327132419291
BaseRepresentation
bin1000010100001011000…
…1001110010110100000
3111122201202020020112100
42011002301032112200
54320031123331424
6145343135330400
713215025664250
oct2050261162640
9448652206470
10142854120864
1155647477414
1223829680a00
1310617c8b200
146cb26dd960
153ab159bdc9
hex2142c4e5a0

142854120864 has 216 divisors, whose sum is σ = 502737816672. Its totient is φ = 37675722240.

The previous prime is 142854120847. The next prime is 142854120943. The reversal of 142854120864 is 468021458241.

142854120864 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 541 + 20 + 86 + 4 = 666.

142854120864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 131059 + ... + 550349.

It is an arithmetic number, because the mean of its divisors is an integer number (2327489892).

Almost surely, 2142854120864 is an apocalyptic number.

142854120864 is a gapful number since it is divisible by the number (14) 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 142854120864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251368908336).

142854120864 is an abundant number, since it is smaller than the sum of its proper divisors (359883695808).

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

142854120864 is a wasteful number, since it uses less digits than its factorization.

142854120864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419340 (or 419316 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 142854120864 in words is "one hundred forty-two billion, eight hundred fifty-four million, one hundred twenty thousand, eight hundred sixty-four".