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23153330324142 = 2337119331289891
BaseRepresentation
bin1010100001110110011100…
…00001111000001010101110
310000222102210101210021212000
411100323032001320022232
511013321010030333032
6121124254302353130
74606526052361044
oct520731601701256
9100872711707760
1023153330324142
1174172aa3a8767
12271b32b58b7a6
13cbc471331a95
145a08acd36394
152a241074be7c
hex150ece0782ae

23153330324142 has 64 divisors (see below), whose sum is σ = 52446865374720. Its totient is φ = 7569650188800.

The previous prime is 23153330324123. The next prime is 23153330324143. The reversal of 23153330324142 is 24142303335132.

23153330324142 is a `hidden beast` number, since 2 + 3 + 153 + 330 + 32 + 4 + 142 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23153330324097 and 23153330324106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23153330324143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14904984 + ... + 16384907.

It is an arithmetic number, because the mean of its divisors is an integer number (819482271480).

Almost surely, 223153330324142 is an apocalyptic number.

23153330324142 is an abundant number, since it is smaller than the sum of its proper divisors (29293535050578).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23153330324142 is a wasteful number, since it uses less digits than its factorization.

23153330324142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31290166 (or 31290160 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 23153330324142 its reverse (24142303335132), we get a palindrome (47295633659274).

The spelling of 23153330324142 in words is "twenty-three trillion, one hundred fifty-three billion, three hundred thirty million, three hundred twenty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 71 142 193 213 386 426 579 639 1158 1278 1737 1917 3474 3834 5211 10422 13703 27406 41109 82218 123327 246654 369981 739962 31289891 62579782 93869673 187739346 281609019 563218038 844827057 1689654114 2221582261 4443164522 6038948963 6664746783 12077897926 13329493566 18116846889 19994240349 36233693778 39988480698 54350540667 59982721047 108701081334 119965442094 163051622001 326103244002 428765376373 857530752746 1286296129119 2572592258238 3858888387357 7717776774714 11576665162071 23153330324142