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42313166131324 = 221110121414447181
BaseRepresentation
bin10011001111011110011010…
…01111001001000001111100
312112211002200022002122211011
421213233031033021001330
521021224331012200244
6225554222234205004
711625011462535604
oct1147571517110174
9175732608078734
1042313166131324
1112533a051a7520
1248b46a9883764
131a7c16458888a
14a63d7a91dc04
154d59e11c4434
hex267bcd3c907c

42313166131324 has 48 divisors (see below), whose sum is σ = 81617601415392. Its totient is φ = 19033930400000.

The previous prime is 42313166131297. The next prime is 42313166131373.

42313166131324 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7291014 + ... + 11738194.

It is an arithmetic number, because the mean of its divisors is an integer number (1700366696154).

Almost surely, 242313166131324 is an apocalyptic number.

42313166131324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42313166131324 is a deficient number, since it is larger than the sum of its proper divisors (39304435284068).

42313166131324 is a wasteful number, since it uses less digits than its factorization.

42313166131324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4449438 (or 4449436 counting only the distinct ones).

The product of its digits is 186624, while the sum is 40.

The spelling of 42313166131324 in words is "forty-two trillion, three hundred thirteen billion, one hundred sixty-six million, one hundred thirty-one thousand, three hundred twenty-four".

Divisors: 1 2 4 11 22 44 101 202 404 1111 2141 2222 4282 4444 8564 23551 47102 94204 216241 432482 864964 2378651 4447181 4757302 8894362 9514604 17788724 48918991 97837982 195675964 449165281 898330562 1796661124 4940818091 9521414521 9881636182 19042829042 19763272364 38085658084 104735559731 209471119462 418942238924 961662866621 1923325733242 3846651466484 10578291532831 21156583065662 42313166131324