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142117903872 = 2932731311457
BaseRepresentation
bin1000010001011011100…
…0110001111000000000
3111120211102220112200100
42010112320301320000
54312024140410442
6145142115522400
713160546152110
oct2042670617000
9446742815610
10142117903872
11552a994071a
1223662bb9400
131052b5ab159
146c42a19040
153a6bb2384c
hex2116e31e00

142117903872 has 480 divisors, whose sum is σ = 486495719424. Its totient is φ = 39083212800.

The previous prime is 142117903871. The next prime is 142117903927. The reversal of 142117903872 is 278309711241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142117903871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 310979868 + ... + 310980324.

Almost surely, 2142117903872 is an apocalyptic number.

142117903872 is a gapful number since it is divisible by the number (12) 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 142117903872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243247859712).

142117903872 is an abundant number, since it is smaller than the sum of its proper divisors (344377815552).

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

142117903872 is a wasteful number, since it uses less digits than its factorization.

142117903872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 142117903872 in words is "one hundred forty-two billion, one hundred seventeen million, nine hundred three thousand, eight hundred seventy-two".