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142772696640 = 26325717619673
BaseRepresentation
bin1000010011110111101…
…0100111011001000000
3111122112002000110111100
42010331322213121000
54314344302243030
6145331110214400
713213016616660
oct2047572473100
9448462013440
10142772696640
1155605513172
1223806354400
131060414c7b2
146ca59861a0
153aa9366360
hex213dea7640

142772696640 has 672 divisors, whose sum is σ = 596090776320. Its totient is φ = 30618943488.

The previous prime is 142772696639. The next prime is 142772696659. The reversal of 142772696640 is 46696277241.

142772696640 is a `hidden beast` number, since 1 + 427 + 72 + 6 + 96 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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, 212143344 + ... + 212144016.

Almost surely, 2142772696640 is an apocalyptic number.

142772696640 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 142772696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298045388160).

142772696640 is an abundant number, since it is smaller than the sum of its proper divisors (453318079680).

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

142772696640 is a wasteful number, since it uses less digits than its factorization.

142772696640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 142772696640 in words is "one hundred forty-two billion, seven hundred seventy-two million, six hundred ninety-six thousand, six hundred forty".