Search a number
-
+
240030253646113 = 74110122337132813
BaseRepresentation
bin110110100100111001100110…
…000000010000000100100001
31011110212200001002010112022111
4312210321212000100010201
5222430123424413133423
62210300213134235321
7101362420306206250
oct6644714600200441
91143780032115274
10240030253646113
116a532293675537
1222b0757a355b41
13a3c19a9639898
14433b7520d2797
151cb3b0ecd960d
hexda4e66010121

240030253646113 has 32 divisors (see below), whose sum is σ = 285065939515392. Its totient is φ = 197843622336000.

The previous prime is 240030253646111. The next prime is 240030253646119. The reversal of 240030253646113 is 311646352030042.

It is a cyclic number.

It is not a de Polignac number, because 240030253646113 - 21 = 240030253646111 is a prime.

It is a super-2 number, since 2×2400302536461132 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (240030253646111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12102306 + ... + 25030507.

It is an arithmetic number, because the mean of its divisors is an integer number (8908310609856).

Almost surely, 2240030253646113 is an apocalyptic number.

It is an amenable number.

240030253646113 is a deficient number, since it is larger than the sum of its proper divisors (45035685869279).

240030253646113 is a wasteful number, since it uses less digits than its factorization.

240030253646113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37133185.

The product of its (nonzero) digits is 311040, while the sum is 40.

The spelling of 240030253646113 in words is "two hundred forty trillion, thirty billion, two hundred fifty-three million, six hundred forty-six thousand, one hundred thirteen".

Divisors: 1 7 41 101 223 287 707 1561 4141 9143 22523 28987 64001 157661 923443 6464101 37132813 259929691 1522445333 3750414113 8280617299 10657117331 26252898791 57964321093 153766978633 339505309259 836342347199 1076368850431 2376537164813 5854396430393 34290036235159 240030253646113