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240441000131025 = 3452118736296361
BaseRepresentation
bin110110101010111000001000…
…011001101111100111010001
31011112022221020201002220020000
4312222320020121233213101
5223003341132013143100
62211213023125040213
7101434201061551131
oct6652701031574721
91145287221086200
10240441000131025
116a680501321021
1222b730b0556069
13a4216484cbc25
144353599612ac1
151cbe64ed96900
hexdaae0866f9d1

240441000131025 has 30 divisors (see below), whose sum is σ = 445379847653862. Its totient is φ = 128235200068800.

The previous prime is 240441000130973. The next prime is 240441000131027. The reversal of 240441000131025 is 520131000144042.

240441000131025 is a `hidden beast` number, since 2 + 404 + 4 + 100 + 0 + 131 + 0 + 25 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 24225385081041 + 216215615049984 = 4921929^2 + 14704272^2 .

It is not a de Polignac number, because 240441000131025 - 225 = 240440966576593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 240441000131025.

It is not an unprimeable number, because it can be changed into a prime (240441000131027) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 59368146156 + ... + 59368150205.

Almost surely, 2240441000131025 is an apocalyptic number.

240441000131025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

240441000131025 is a deficient number, since it is larger than the sum of its proper divisors (204938847522837).

240441000131025 is a wasteful number, since it uses less digits than its factorization.

240441000131025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118736296383 (or 118736296369 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 240441000131025 its reverse (520131000144042), we get a palindrome (760572000275067).

The spelling of 240441000131025 in words is "two hundred forty trillion, four hundred forty-one billion, one hundred thirty-one thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 118736296361 356208889083 593681481805 1068626667249 1781044445415 2968407409025 3205880001747 5343133336245 8905222227075 9617640005241 16029400008735 26715666681225 48088200026205 80147000043675 240441000131025