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42334322113431 = 3341431376491663
BaseRepresentation
bin10011010000000101110100…
…01110110011101110010111
312112220010021200210220102000
421220002322032303232113
521022101142430112211
6230012041420250343
711626360652446665
oct1150027216635627
9175803250726360
1042334322113431
11125419811a7a57
1248b88129a09b3
131a811565b539a
14a64dc6557c35
154d632d683656
hex2680ba3b3b97

42334322113431 has 64 divisors (see below), whose sum is σ = 66221204797440. Its totient is φ = 26697868807680.

The previous prime is 42334322113333. The next prime is 42334322113487. The reversal of 42334322113431 is 13431122343324.

42334322113431 is a `hidden beast` number, since 4 + 2 + 3 + 3 + 4 + 3 + 2 + 211 + 3 + 431 = 666.

It is not a de Polignac number, because 42334322113431 - 29 = 42334322112919 is a prime.

It is a super-2 number, since 2×423343221134312 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42334322115431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3275506 + ... + 9767168.

It is an arithmetic number, because the mean of its divisors is an integer number (1034706324960).

Almost surely, 242334322113431 is an apocalyptic number.

42334322113431 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

42334322113431 is a deficient number, since it is larger than the sum of its proper divisors (23886882684009).

42334322113431 is a wasteful number, since it uses less digits than its factorization.

42334322113431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6491893 (or 6491887 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 42334322113431 its reverse (13431122343324), we get a palindrome (55765444456755).

The spelling of 42334322113431 in words is "forty-two trillion, three hundred thirty-four billion, three hundred twenty-two million, one hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 3 9 27 41 43 123 129 137 369 387 411 1107 1161 1233 1763 3699 5289 5617 5891 15867 16851 17673 47601 50553 53019 151659 159057 241531 724593 2173779 6491663 6521337 19474989 58424967 175274901 266158183 279141509 798474549 837424527 889357831 2395423647 2512273581 2668073493 7186270941 7536820743 8004220479 11444801869 24012661437 34334405607 36463671071 38242386733 103003216821 109391013213 114727160199 309009650463 328173039639 344181480597 984519118917 1032544441791 1567937856053 4703813568159 14111440704477 42334322113431