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254131553042140 = 22513991414227713
BaseRepresentation
bin111001110010000110011100…
…111100011111111011011100
31020022210201221212201222120111
4321302012130330133323130
5231302142410034322030
62300254231311055404
7104346253535332054
oct7162063474377334
91208721855658514
10254131553042140
1173a7964a550734
1224604492b11564
13aba566c356347
1446a8065dc6564
151e5a82904362a
hexe7219cf1fedc

254131553042140 has 24 divisors (see below), whose sum is σ = 537515658958320. Its totient is φ = 100921307394048.

The previous prime is 254131553042057. The next prime is 254131553042153. The reversal of 254131553042140 is 41240355131452.

It is a super-2 number, since 2×2541315530421402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 254131553042093 and 254131553042102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45707111077 + ... + 45707116636.

It is an arithmetic number, because the mean of its divisors is an integer number (22396485789930).

Almost surely, 2254131553042140 is an apocalyptic number.

254131553042140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254131553042140 is an abundant number, since it is smaller than the sum of its proper divisors (283384105916180).

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

254131553042140 is a wasteful number, since it uses less digits than its factorization.

254131553042140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91414227861 (or 91414227859 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 254131553042140 in words is "two hundred fifty-four trillion, one hundred thirty-one billion, five hundred fifty-three million, forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 139 278 556 695 1390 2780 91414227713 182828455426 365656910852 457071138565 914142277130 1828284554260 12706577652107 25413155304214 50826310608428 63532888260535 127065776521070 254131553042140