Search a number
-
+
23240431104132 = 2231117192292380303
BaseRepresentation
bin1010100100011000101011…
…01000111111000010000100
310001021202121121021100210110
411102030111220333002010
511021232400330313012
6121232301234353020
74616031355653114
oct522142550770204
9101252547240713
1023240431104132
117450236532960
12273419942b770
13cc77425c7358
145a4bb2b83044
152a480c2e073c
hex152315a3f084

23240431104132 has 192 divisors, whose sum is σ = 66221961523200. Its totient is φ = 6252006021120.

The previous prime is 23240431104091. The next prime is 23240431104139. The reversal of 23240431104132 is 23140113404232.

It is a super-2 number, since 2×232404311041322 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23240431104132.

It is not an unprimeable number, because it can be changed into a prime (23240431104139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8573493 + ... + 10953795.

It is an arithmetic number, because the mean of its divisors is an integer number (344906049600).

Almost surely, 223240431104132 is an apocalyptic number.

23240431104132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23240431104132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33110980761600).

23240431104132 is an abundant number, since it is smaller than the sum of its proper divisors (42981530419068).

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

23240431104132 is a wasteful number, since it uses less digits than its factorization.

23240431104132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380586 (or 2380584 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 23240431104132 its reverse (23140113404232), we get a palindrome (46380544508364).

The spelling of 23240431104132 in words is "twenty-three trillion, two hundred forty billion, four hundred thirty-one million, one hundred four thousand, one hundred thirty-two".