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23144143018896 = 24324009032
BaseRepresentation
bin1010100001100101010100…
…11011000101101110010000
310000221120002010020211100100
411100302222123011232100
511013143201103101041
6121120134510452400
74606052303514414
oct520625233055620
9100846063224310
1023144143018896
117413415405309
1227195a6804100
13cbb638b207a3
145a027aac4d44
152a2073dc26b6
hex150caa6c5b90

23144143018896 has 45 divisors (see below), whose sum is σ = 64771617374139. Its totient is φ = 7714695096288.

The previous prime is 23144143018891. The next prime is 23144143018897. The reversal of 23144143018896 is 69881034144132.

The square root of 23144143018896 is 4810836.

It is a perfect power (a square), and thus also a powerful number.

23144143018896 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 41 + 430 + 1 + 88 + 96 = 666.

It is a super-2 number, since 2×231441430188962 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23144143018891) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 57529581 + ... + 57930483.

Almost surely, 223144143018896 is an apocalyptic number.

23144143018896 is the 4810836-th square number.

It is an amenable number.

23144143018896 is an abundant number, since it is smaller than the sum of its proper divisors (41627474355243).

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

23144143018896 is an frugal number, since it uses more digits than its factorization.

23144143018896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801820 (or 400908 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 23144143018896 in words is "twenty-three trillion, one hundred forty-four billion, one hundred forty-three million, eighteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 400903 801806 1202709 1603612 2405418 3207224 3608127 4810836 6414448 7216254 9621672 14432508 19243344 28865016 57730032 160723215409 321446430818 482169646227 642892861636 964339292454 1285785723272 1446508938681 1928678584908 2571571446544 2893017877362 3857357169816 5786035754724 7714714339632 11572071509448 23144143018896