Search a number
-
+
14311032040296 = 2332198764333893
BaseRepresentation
bin1101000001000000101111…
…1110110010101101101000
31212200010021102120200202200
43100100023332302231220
53333432443200242141
650234221455100200
73004636500152625
oct320201376625550
955603242520680
1014311032040296
114618302554062
1217316a7811660
137ca6a8517a44
1437692c82134c
1519c3e1d79ab6
hexd040bfb2b68

14311032040296 has 24 divisors (see below), whose sum is σ = 38759045109330. Its totient is φ = 4770344013408.

The previous prime is 14311032040289. The next prime is 14311032040301. The reversal of 14311032040296 is 69204023011341.

14311032040296 is a `hidden beast` number, since 1 + 4 + 3 + 1 + 1 + 0 + 320 + 40 + 296 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13263508448100 + 1047523592196 = 3641910^2 + 1023486^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14311032040296.

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, 99382166875 + ... + 99382167018.

Almost surely, 214311032040296 is an apocalyptic number.

It is an amenable number.

14311032040296 is an abundant number, since it is smaller than the sum of its proper divisors (24448013069034).

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

14311032040296 is a wasteful number, since it uses less digits than its factorization.

14311032040296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198764333905 (or 198764333898 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 14311032040296 in words is "fourteen trillion, three hundred eleven billion, thirty-two million, forty thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 198764333893 397528667786 596293001679 795057335572 1192586003358 1590114671144 1788879005037 2385172006716 3577758010074 4770344013432 7155516020148 14311032040296