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23402113024 = 21160119013
BaseRepresentation
bin10101110010110111…
…111110100000000000
32020101221012111221211
4111302313332200000
5340411420104044
614430100255504
71455632451523
oct256267764000
966357174854
1023402113024
119a19978984
1246513a1594
13228c490474
1411c0082bba
1591e78e634
hex572dfe800

23402113024 has 48 divisors (see below), whose sum is σ = 46873122660. Its totient is φ = 11680972800.

The previous prime is 23402113013. The next prime is 23402113037. The reversal of 23402113024 is 42031120432.

It can be written as a sum of positive squares in 2 ways, for example, as 22476006400 + 926106624 = 149920^2 + 30432^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23402112986 and 23402113004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1221342 + ... + 1240354.

Almost surely, 223402113024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23402113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23436561330).

23402113024 is an abundant number, since it is smaller than the sum of its proper divisors (23471009636).

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

23402113024 is an equidigital number, since it uses as much as digits as its factorization.

23402113024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19636 (or 19616 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 23402113024 its reverse (42031120432), we get a palindrome (65433233456).

The spelling of 23402113024 in words is "twenty-three billion, four hundred two million, one hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 601 1024 1202 2048 2404 4808 9616 19013 19232 38026 38464 76052 76928 152104 153856 304208 307712 608416 615424 1216832 1230848 2433664 4867328 9734656 11426813 19469312 22853626 38938624 45707252 91414504 182829008 365658016 731316032 1462632064 2925264128 5850528256 11701056512 23402113024