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140013953892 = 223419371993089
BaseRepresentation
bin1000001001100101111…
…0110110001101100100
3111101101210221210220000
42002121132312031210
54243222033011032
6144153240541300
713054450654131
oct2023136661544
9441353853800
10140013953892
115441a25498a
1223176481830
1310284739437
146ac3421588
15399707ae7c
hex20997b6364

140013953892 has 240 divisors, whose sum is σ = 397818960000. Its totient is φ = 42789897216.

The previous prime is 140013953879. The next prime is 140013953903. The reversal of 140013953892 is 298359310041.

It is a happy number.

140013953892 is a `hidden beast` number, since 14 + 0 + 0 + 13 + 9 + 538 + 92 = 666.

It is a super-2 number, since 2×1400139538922 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45325084 + ... + 45328172.

It is an arithmetic number, because the mean of its divisors is an integer number (1657579000).

Almost surely, 2140013953892 is an apocalyptic number.

140013953892 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 140013953892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198909480000).

140013953892 is an abundant number, since it is smaller than the sum of its proper divisors (257805006108).

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

140013953892 is a wasteful number, since it uses less digits than its factorization.

140013953892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3360 (or 3349 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 140013953892 in words is "one hundred forty billion, thirteen million, nine hundred fifty-three thousand, eight hundred ninety-two".