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140912745120 = 253557539769
BaseRepresentation
bin1000001100111100001…
…1011101101010100000
3111110201110012010200000
42003033003131222200
54302042130320440
6144422345100000
713115643366540
oct2031703355240
9443643163600
10140912745120
1154840631054
1223387487600
13103989cb874
146b6a945320
1539eae19730
hex20cf0ddaa0

140912745120 has 576 divisors, whose sum is σ = 580726298880. Its totient is φ = 31597682688.

The previous prime is 140912745107. The next prime is 140912745157. The reversal of 140912745120 is 21547219041.

140912745120 is a `hidden beast` number, since 1 + 409 + 127 + 4 + 5 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 14419596 + ... + 14429364.

It is an arithmetic number, because the mean of its divisors is an integer number (1008205380).

Almost surely, 2140912745120 is an apocalyptic number.

140912745120 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 140912745120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290363149440).

140912745120 is an abundant number, since it is smaller than the sum of its proper divisors (439813553760).

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

140912745120 is an equidigital number, since it uses as much as digits as its factorization.

140912745120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9859 (or 9839 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 140912745120 in words is "one hundred forty billion, nine hundred twelve million, seven hundred forty-five thousand, one hundred twenty".