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23240414534040 = 23325116319300779
BaseRepresentation
bin1010100100011000101001…
…01001110001100110011000
310001021202120110002111220100
411102030110221301212120
511021232332110042130
6121232255443255400
74616031065060604
oct522142451614630
9101252513074810
1023240414534040
117450228145570
12273419397a560
13cc773c045172
145a4bb08ac504
152a480ab1ac60
hex152314a71998

23240414534040 has 192 divisors, whose sum is σ = 82528425158400. Its totient is φ = 5625110534400.

The previous prime is 23240414534033. The next prime is 23240414534069. The reversal of 23240414534040 is 4043541404232.

23240414534040 is a `hidden beast` number, since 2 + 3 + 2 + 40 + 41 + 4 + 534 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23240414533986 and 23240414534004.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2151630 + ... + 7149149.

It is an arithmetic number, because the mean of its divisors is an integer number (429835547700).

Almost surely, 223240414534040 is an apocalyptic number.

23240414534040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23240414534040 is an abundant number, since it is smaller than the sum of its proper divisors (59288010624360).

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

23240414534040 is a wasteful number, since it uses less digits than its factorization.

23240414534040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9301438 (or 9301431 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 23240414534040 its reverse (4043541404232), we get a palindrome (27283955938272).

The spelling of 23240414534040 in words is "twenty-three trillion, two hundred forty billion, four hundred fourteen million, five hundred thirty-four thousand, forty".