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240323045102253 = 32534313298735437
BaseRepresentation
bin110110101001001010010001…
…101111000001001010101101
31011111220122210012220120212200
4312221022101233001022231
5222444423044021233003
62211042514403252113
7101422524043422021
oct6651122157011255
91144818705816780
10240323045102253
116a63548182a073
1222b5427167a039
13a41349aba6409
14434b9a9b10381
151cbb5496d86a3
hexda9291bc12ad

240323045102253 has 48 divisors (see below), whose sum is σ = 354524333020416. Its totient is φ = 156818536767360.

The previous prime is 240323045102233. The next prime is 240323045102269. The reversal of 240323045102253 is 352201540323042.

240323045102253 is a `hidden beast` number, since 2 + 40 + 3 + 2 + 30 + 4 + 510 + 22 + 53 = 666.

It is not a de Polignac number, because 240323045102253 - 214 = 240323045085869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240323045102233) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6781680651 + ... + 6781716087.

It is an arithmetic number, because the mean of its divisors is an integer number (7385923604592).

Almost surely, 2240323045102253 is an apocalyptic number.

It is an amenable number.

240323045102253 is a deficient number, since it is larger than the sum of its proper divisors (114201287918163).

240323045102253 is a wasteful number, since it uses less digits than its factorization.

240323045102253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68914 (or 68911 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 240323045102253 its reverse (352201540323042), we get a palindrome (592524585425295).

The spelling of 240323045102253 in words is "two hundred forty trillion, three hundred twenty-three billion, forty-five million, one hundred two thousand, two hundred fifty-three".

Divisors: 1 3 9 53 159 431 477 1293 3879 22843 32987 35437 68529 98961 106311 205587 296883 318933 1748311 1878161 5244933 5634483 14217397 15273347 15734799 16903449 42652191 45820041 127956573 137460123 753522041 809487391 1168960319 2260566123 2428462173 3506880957 6781698369 7285386519 10520642871 61954896907 185864690721 503821897489 557594072163 1511465692467 4534397077401 26702560566917 80107681700751 240323045102253