Search a number
-
+
241557077131025 = 5236974889534577
BaseRepresentation
bin110110111011000111100011…
…110001100111111100010001
31011200021122001000212212220012
4312323013203301213330101
5223130132343221143100
62213425442252324305
7101610631361535605
oct6673074361477421
91150248030785805
10241557077131025
116aa7086572a077
1223113468473695
13a4a2971cb0146
1443915d3d73505
151cdd6c1e9d135
hexdbb1e3c67f11

241557077131025 has 24 divisors (see below), whose sum is σ = 299673639015960. Its totient is φ = 193153513512960.

The previous prime is 241557077131009. The next prime is 241557077131031. The reversal of 241557077131025 is 520131770755142.

It can be written as a sum of positive squares in 12 ways, for example, as 29482282798081 + 212074794332944 = 5429759^2 + 14562788^2 .

It is not a de Polignac number, because 241557077131025 - 24 = 241557077131009 is a prime.

It is a super-2 number, since 2×2415570771310252 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 451598537 + ... + 452133113.

It is an arithmetic number, because the mean of its divisors is an integer number (12486401625665).

Almost surely, 2241557077131025 is an apocalyptic number.

241557077131025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

241557077131025 is a deficient number, since it is larger than the sum of its proper divisors (58116561884935).

241557077131025 is a wasteful number, since it uses less digits than its factorization.

241557077131025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543173 (or 543168 counting only the distinct ones).

The product of its (nonzero) digits is 2058000, while the sum is 50.

The spelling of 241557077131025 in words is "two hundred forty-one trillion, five hundred fifty-seven billion, seventy-seven million, one hundred thirty-one thousand, twenty-five".

Divisors: 1 5 25 3697 4889 18485 24445 92425 122225 534577 2672885 13364425 18074633 90373165 451865825 1976331169 2613546953 9881655845 13067734765 49408279225 65338673825 9662283085241 48311415426205 241557077131025