Search a number
-
+
431413340013544 = 23743179158363793
BaseRepresentation
bin110001000010111100011111…
…0111000100000001111101000
32002120111201020102112120110111
41202011320332320200033220
5423021234010020413134
64125312315151424104
7156604404511251430
oct14205707670401750
92076451212476414
10431413340013544
11115509408573619
1240476966825034
13156951462333b5
147876734b972c0
1534d20b727dc64
hex1885e3ee203e8

431413340013544 has 32 divisors (see below), whose sum is σ = 945956160832320. Its totient is φ = 180591630702336.

The previous prime is 431413340013541. The next prime is 431413340013569. The reversal of 431413340013544 is 445310043314134.

It is a super-2 number, since 2×4314133400135442 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 431413340013497 and 431413340013506.

It is not an unprimeable number, because it can be changed into a prime (431413340013541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89579179489 + ... + 89579184304.

It is an arithmetic number, because the mean of its divisors is an integer number (29561130026010).

Almost surely, 2431413340013544 is an apocalyptic number.

It is an amenable number.

431413340013544 is an abundant number, since it is smaller than the sum of its proper divisors (514542820818776).

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

431413340013544 is a wasteful number, since it uses less digits than its factorization.

431413340013544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179158363849 (or 179158363845 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

Adding to 431413340013544 its reverse (445310043314134), we get a palindrome (876723383327678).

The spelling of 431413340013544 in words is "four hundred thirty-one trillion, four hundred thirteen billion, three hundred forty million, thirteen thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 28 43 56 86 172 301 344 602 1204 2408 179158363793 358316727586 716633455172 1254108546551 1433266910344 2508217093102 5016434186204 7703809643099 10032868372408 15407619286198 30815238572396 53926667501693 61630477144792 107853335003386 215706670006772 431413340013544