Search a number
-
+
117488800431 = 3329319317691
BaseRepresentation
bin110110101101011100…
…0001101001010101111
3102020020222220110022000
41231122320031022233
53411104113103211
6125550144423343
711326324216602
oct1553270151257
9366228813260
10117488800431
1145910401782
121a92a917b53
13b104b66372
145987a1c339
1530c97b6656
hex1b5ae0d2af

117488800431 has 32 divisors (see below), whose sum is σ = 174764701440. Its totient is φ = 78007975200.

The previous prime is 117488800343. The next prime is 117488800469. The reversal of 117488800431 is 134008884711.

It is not a de Polignac number, because 117488800431 - 29 = 117488799919 is a prime.

It is a super-2 number, since 2×1174888004312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117488801431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15272296 + ... + 15279986.

It is an arithmetic number, because the mean of its divisors is an integer number (5461396920).

Almost surely, 2117488800431 is an apocalyptic number.

117488800431 is a deficient number, since it is larger than the sum of its proper divisors (57275901009).

117488800431 is a wasteful number, since it uses less digits than its factorization.

117488800431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9924 (or 9918 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 117488800431 in words is "one hundred seventeen billion, four hundred eighty-eight million, eight hundred thousand, four hundred thirty-one".

Divisors: 1 3 9 27 293 879 1931 2637 5793 7691 7911 17379 23073 52137 69219 207657 565783 1697349 2253463 5092047 6760389 14851321 15276141 20281167 44553963 60843501 133661889 400985667 4351437053 13054311159 39162933477 117488800431