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23001312144 = 2431935837039
BaseRepresentation
bin10101011010111111…
…000010101110010000
32012101000000201111210
4111122333002232100
5334101313442034
614322221540120
71442664633036
oct253277025620
965330021453
1023001312144
119833706288
12455b114640
13222742b495
141182b50556
158e94bd8e9
hex55afc2b90

23001312144 has 80 divisors (see below), whose sum is σ = 62573772800. Its totient is φ = 7260513408.

The previous prime is 23001312121. The next prime is 23001312149. The reversal of 23001312144 is 44121310032.

It is a self number, because there is not a number n which added to its sum of digits gives 23001312144.

It is not an unprimeable number, because it can be changed into a prime (23001312149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3264177 + ... + 3271215.

It is an arithmetic number, because the mean of its divisors is an integer number (782172160).

Almost surely, 223001312144 is an apocalyptic number.

23001312144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23001312144 is an abundant number, since it is smaller than the sum of its proper divisors (39572460656).

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

23001312144 is a wasteful number, since it uses less digits than its factorization.

23001312144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10652 (or 10646 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 23001312144 its reverse (44121310032), we get a palindrome (67122622176).

The spelling of 23001312144 in words is "twenty-three billion, one million, three hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 3583 7039 7166 10749 14078 14332 21117 21498 28156 28664 42234 42996 56312 57328 68077 84468 85992 112624 133741 136154 168936 171984 204231 267482 272308 337872 401223 408462 534964 544616 802446 816924 1069928 1089232 1604892 1633848 2139856 3209784 3267696 6419568 25220737 50441474 75662211 100882948 151324422 201765896 302648844 403531792 479194003 605297688 958388006 1210595376 1437582009 1916776012 2875164018 3833552024 5750328036 7667104048 11500656072 23001312144