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42023515311 = 352236311229
BaseRepresentation
bin100111001000110010…
…111111010010101111
311000110200122202200000
4213020302333102233
51142031004442221
631145541435343
73015244662231
oct471062772257
9130420582600
1042023515311
11169051a7048
12818970bb53
133c693710bb
142069228251
15115e491e26
hex9c8cbf4af

42023515311 has 48 divisors (see below), whose sum is σ = 63382824960. Its totient is φ = 27823188960.

The previous prime is 42023515291. The next prime is 42023515327. The reversal of 42023515311 is 11351532024.

42023515311 is a `hidden beast` number, since 420 + 235 + 1 + 5 + 3 + 1 + 1 = 666.

It is not a de Polignac number, because 42023515311 - 210 = 42023514287 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42023515351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34192645 + ... + 34193873.

It is an arithmetic number, because the mean of its divisors is an integer number (1320475520).

Almost surely, 242023515311 is an apocalyptic number.

42023515311 is a deficient number, since it is larger than the sum of its proper divisors (21359309649).

42023515311 is a wasteful number, since it uses less digits than its factorization.

42023515311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 42023515311 in words is "forty-two billion, twenty-three million, five hundred fifteen thousand, three hundred eleven".

Divisors: 1 3 9 27 81 223 243 631 669 1229 1893 2007 3687 5679 6021 11061 17037 18063 33183 51111 54189 99549 140713 153333 274067 298647 422139 775499 822201 1266417 2326497 2466603 3799251 6979491 7399809 11397753 20938473 22199427 34193259 62815419 66598281 172936277 188446257 518808831 1556426493 4669279479 14007838437 42023515311