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142664483520 = 26385135227
BaseRepresentation
bin1000010011011101110…
…1110100001011000000
3111122020112101200000000
42010313131310023000
54314134101433040
6145312243000000
713210234046556
oct2046735641300
9448215350000
10142664483520
115555a422039
1223796069000
13105b78c1870
146c95457bd6
153a9eadd130
hex21377742c0

142664483520 has 504 divisors, whose sum is σ = 548855243664. Its totient is φ = 35110692864.

The previous prime is 142664483491. The next prime is 142664483537. The reversal of 142664483520 is 25384466241.

142664483520 is a `hidden beast` number, since 1 + 4 + 2 + 6 + 6 + 44 + 83 + 520 = 666.

142664483520 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27291147 + ... + 27296373.

Almost surely, 2142664483520 is an apocalyptic number.

142664483520 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 142664483520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274427621832).

142664483520 is an abundant number, since it is smaller than the sum of its proper divisors (406190760144).

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

142664483520 is an frugal number, since it uses more digits than its factorization.

142664483520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5281 (or 5250 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 142664483520 in words is "one hundred forty-two billion, six hundred sixty-four million, four hundred eighty-three thousand, five hundred twenty".