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140642656032 = 25331613672111
BaseRepresentation
bin1000001011111011110…
…1001001111100100000
3111110000121222012002110
42002332331021330200
54301014004443112
6144335500115320
713106153565024
oct2027675117440
9443017865073
10140642656032
115471212712a
1223310b35b40
1310354a74338
146b42b1a384
1539d236813c
hex20bef49f20

140642656032 has 192 divisors, whose sum is σ = 388583129088. Its totient is φ = 44482176000.

The previous prime is 140642655947. The next prime is 140642656061. The reversal of 140642656032 is 230656246041.

140642656032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66622657 + ... + 66624767.

It is an arithmetic number, because the mean of its divisors is an integer number (2023870464).

Almost surely, 2140642656032 is an apocalyptic number.

140642656032 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 140642656032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194291564544).

140642656032 is an abundant number, since it is smaller than the sum of its proper divisors (247940473056).

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

140642656032 is a wasteful number, since it uses less digits than its factorization.

140642656032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583 (or 2575 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 140642656032 in words is "one hundred forty billion, six hundred forty-two million, six hundred fifty-six thousand, thirty-two".