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23142544000 = 27531446409
BaseRepresentation
bin10101100011011001…
…110011001010000000
32012201211210001012021
4111203121303022000
5334343442402000
614344225011224
71446331243522
oct254331631200
965654701167
1023142544000
1198a63a9924
12459a483b14
13224a77a424
1411977d5a12
15906aba11a
hex563673280

23142544000 has 64 divisors (see below), whose sum is σ = 57538189800. Its totient is φ = 9257011200.

The previous prime is 23142543929. The next prime is 23142544037. The reversal of 23142544000 is 44524132.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1716610624 + 21425933376 = 41432^2 + 146376^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 707205 + ... + 739204.

Almost surely, 223142544000 is an apocalyptic number.

23142544000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23142544000 is an abundant number, since it is smaller than the sum of its proper divisors (34395645800).

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

23142544000 is an equidigital number, since it uses as much as digits as its factorization.

23142544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446438 (or 1446416 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The spelling of 23142544000 in words is "twenty-three billion, one hundred forty-two million, five hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 1446409 2892818 5785636 7232045 11571272 14464090 23142544 28928180 36160225 46285088 57856360 72320450 92570176 115712720 144640900 180801125 185140352 231425440 289281800 361602250 462850880 578563600 723204500 925701760 1157127200 1446409000 2314254400 2892818000 4628508800 5785636000 11571272000 23142544000