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240305044232132 = 221121210941002397
BaseRepresentation
bin110110101000111001100000…
…110011001001011111000100
31011111211221022201002122021022
4312220321200303021133010
5222444124212310412012
62211030340250210312
7101421316004514065
oct6650714063113704
91144757281078238
10240305044232132
116a628884802a00
1222b50889123998
13a41188c72ca89
14434ab7d13856c
151cbad4420c472
hexda8e60cc97c4

240305044232132 has 36 divisors (see below), whose sum is σ = 462277846035180. Its totient is φ = 109220542368960.

The previous prime is 240305044232119. The next prime is 240305044232173. The reversal of 240305044232132 is 231232440503042.

It can be written as a sum of positive squares in 2 ways, for example, as 171839746042756 + 68465298189376 = 13108766^2 + 8274376^2 .

It is a super-3 number, since 3×2403050442321323 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 240305044232092 and 240305044232101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14640443 + ... + 26361954.

It is an arithmetic number, because the mean of its divisors is an integer number (12841051278755).

Almost surely, 2240305044232132 is an apocalyptic number.

240305044232132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

240305044232132 is a deficient number, since it is larger than the sum of its proper divisors (221972801803048).

240305044232132 is a wasteful number, since it uses less digits than its factorization.

240305044232132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41014532 (or 41014519 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 240305044232132 its reverse (231232440503042), we get a palindrome (471537484735174).

The spelling of 240305044232132 in words is "two hundred forty trillion, three hundred five billion, forty-four million, two hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 11 22 44 121 242 484 12109 24218 48436 133199 266398 532796 1465189 2930378 5860756 41002397 82004794 164009588 451026367 902052734 1804105468 4961290037 9922580074 19845160148 496498025273 992996050546 1985992101092 5461478278003 10922956556006 21845913112012 60076261058033 120152522116066 240305044232132