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241253342432225 = 52291372428928693
BaseRepresentation
bin110110110110101100101011…
…110001101100101111100001
31011122012121001020110111112022
4312312230223301230233201
5223110143321130312400
62213034131103511225
7101546656504310444
oct6666545361545741
91148177036414468
10241253342432225
116a963a71383342
12230846202b8515
13a4801284cbcb6
144380a1cc1b65b
151cd58469c1b85
hexdb6b2bc6cbe1

241253342432225 has 24 divisors (see below), whose sum is σ = 311728708587960. Its totient is φ = 184987209182720.

The previous prime is 241253342432213. The next prime is 241253342432227. The reversal of 241253342432225 is 522234243352142.

It can be written as a sum of positive squares in 12 ways, for example, as 53582165760256 + 187671176671969 = 7319984^2 + 13699313^2 .

It is not a de Polignac number, because 241253342432225 - 24 = 241253342432209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (241253342432227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1214365022 + ... + 1214563671.

It is an arithmetic number, because the mean of its divisors is an integer number (12988696191165).

Almost surely, 2241253342432225 is an apocalyptic number.

241253342432225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

241253342432225 is a deficient number, since it is larger than the sum of its proper divisors (70475366155735).

241253342432225 is a wasteful number, since it uses less digits than its factorization.

241253342432225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428928869 (or 2428928864 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 44.

Adding to 241253342432225 its reverse (522234243352142), we get a palindrome (763487585784367).

The spelling of 241253342432225 in words is "two hundred forty-one trillion, two hundred fifty-three billion, three hundred forty-two million, four hundred thirty-two thousand, two hundred twenty-five".

Divisors: 1 5 25 29 137 145 685 725 3425 3973 19865 99325 2428928693 12144643465 60723217325 70438932097 332763230941 352194660485 1663816154705 1760973302425 8319080773525 9650133697289 48250668486445 241253342432225