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23861444142168 = 23321742853454919
BaseRepresentation
bin1010110110011101011001…
…11001101110010001011000
310010111010120001212100110200
411123032230321232101120
511111421214200022133
6122425443543142200
75011634554460523
oct533165471562130
9103433501770420
1023861444142168
11766a644173996
122814611444960
131041180782c79
145c6c85a91bba
152b5a56cd3913
hex15b3ace6e458

23861444142168 has 96 divisors (see below), whose sum is σ = 68427947296800. Its totient is φ = 7485752116224.

The previous prime is 23861444142157. The next prime is 23861444142191. The reversal of 23861444142168 is 86124144416832.

23861444142168 is a `hidden beast` number, since 2 + 3 + 8 + 6 + 1 + 4 + 4 + 414 + 216 + 8 = 666.

It is a super-2 number, since 2×238614441421682 (a number of 28 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52224613 + ... + 52679531.

It is an arithmetic number, because the mean of its divisors is an integer number (712791117675).

Almost surely, 223861444142168 is an apocalyptic number.

It is an amenable number.

23861444142168 is an abundant number, since it is smaller than the sum of its proper divisors (44566503154632).

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

23861444142168 is a wasteful number, since it uses less digits than its factorization.

23861444142168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497801 (or 497794 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The spelling of 23861444142168 in words is "twenty-three trillion, eight hundred sixty-one billion, four hundred forty-four million, one hundred forty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 42853 85706 128559 171412 257118 342824 385677 454919 514236 728501 771354 909838 1028472 1364757 1457002 1542708 1819676 2185503 2729514 2914004 3085416 3639352 4094271 4371006 5459028 5828008 6556509 7733623 8188542 8742012 10918056 13113018 15467246 16377084 17484024 23200869 26226036 30934492 32754168 46401738 52452072 61868984 69602607 92803476 139205214 185606952 278410428 556820856 19494643907 38989287814 58483931721 77978575628 116967863442 155957151256 175451795163 233935726884 331408946419 350903590326 467871453768 662817892838 701807180652 994226839257 1325635785676 1403614361304 1988453678514 2651271571352 2982680517771 3976907357028 5965361035542 7953814714056 11930722071084 23861444142168