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12433142106 = 23272111281503
BaseRepresentation
bin10111001010001001…
…01011000101011010
31012002111011001121200
423211010223011122
5200430341021411
65413421215030
7620050651500
oct134504530532
935074131550
1012433142106
115300203760
1224aba01476
131231b0b328
1485d36c670
154cb7cde56
hex2e512b15a

12433142106 has 72 divisors (see below), whose sum is σ = 34185400704. Its totient is φ = 3229385040.

The previous prime is 12433142093. The next prime is 12433142107. The reversal of 12433142106 is 60124133421.

It is a happy number.

12433142106 is a `hidden beast` number, since 1 + 2 + 433 + 14 + 210 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12433142106.

It is not an unprimeable number, because it can be changed into a prime (12433142107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 631050 + ... + 650453.

It is an arithmetic number, because the mean of its divisors is an integer number (474797232).

Almost surely, 212433142106 is an apocalyptic number.

12433142106 is an abundant number, since it is smaller than the sum of its proper divisors (21752258598).

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

12433142106 is a wasteful number, since it uses less digits than its factorization.

12433142106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281536 (or 1281526 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 12433142106 its reverse (60124133421), we get a palindrome (72557275527).

The spelling of 12433142106 in words is "twelve billion, four hundred thirty-three million, one hundred forty-two thousand, one hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 147 154 198 231 294 441 462 539 693 882 1078 1386 1617 3234 4851 9702 1281503 2563006 3844509 7689018 8970521 11533527 14096533 17941042 23067054 26911563 28193066 42289599 53823126 62793647 80734689 84579198 98675731 125587294 126868797 161469378 188380941 197351462 253737594 296027193 376761882 565142823 592054386 690730117 888081579 1130285646 1381460234 1776163158 2072190351 4144380702 6216571053 12433142106