Search a number
-
+
14311233420012 = 2232397534261667
BaseRepresentation
bin1101000001000001011111…
…1110111111101011101100
31212200010210110111211210200
43100100113332333223230
53333433401223420022
650234253451233500
73004644463644534
oct320202776775354
955603713454720
1014311233420012
1146183a6199681
121731743148890
137ca70b166039
1437694b4824c4
1519c4048a7bac
hexd0417fbfaec

14311233420012 has 18 divisors (see below), whose sum is σ = 36175617811788. Its totient is φ = 4770411139992.

The previous prime is 14311233419999. The next prime is 14311233420049. The reversal of 14311233420012 is 21002433211341.

14311233420012 is a `hidden beast` number, since 1 + 4 + 3 + 1 + 1 + 233 + 420 + 0 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×143112334200123 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 198767130798 + ... + 198767130869.

Almost surely, 214311233420012 is an apocalyptic number.

14311233420012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14311233420012 is an abundant number, since it is smaller than the sum of its proper divisors (21864384391776).

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

14311233420012 is a wasteful number, since it uses less digits than its factorization.

14311233420012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397534261677 (or 397534261672 counting only the distinct ones).

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

Adding to 14311233420012 its reverse (21002433211341), we get a palindrome (35313666631353).

The spelling of 14311233420012 in words is "fourteen trillion, three hundred eleven billion, two hundred thirty-three million, four hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 397534261667 795068523334 1192602785001 1590137046668 2385205570002 3577808355003 4770411140004 7155616710006 14311233420012