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23142344000 = 26535354581
BaseRepresentation
bin10101100011011001…
…000010010101000000
32012201211101212211212
4111203121002111000
5334343420002000
614344220425252
71446326451446
oct254331022500
965654355755
1023142344000
1198a6282636
12459a3a8228
13224a70a399
141197782b96
15906a7ac35
hex563642540

23142344000 has 112 divisors (see below), whose sum is σ = 58394443536. Its totient is φ = 9082112000.

The previous prime is 23142343979. The next prime is 23142344011. The reversal of 23142344000 is 44324132.

It can be written as a sum of positive squares in 8 ways, for example, as 1704698944 + 21437645056 = 41288^2 + 146416^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396710 + ... + 451290.

Almost surely, 223142344000 is an apocalyptic number.

23142344000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23142344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29197221768).

23142344000 is an abundant number, since it is smaller than the sum of its proper divisors (35252099536).

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

23142344000 is an equidigital number, since it uses as much as digits as its factorization.

23142344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54661 (or 54641 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 23142344000 its reverse (44324132), we get a palindrome (23186668132).

The spelling of 23142344000 in words is "twenty-three billion, one hundred forty-two million, three hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 53 64 80 100 106 125 160 200 212 250 265 320 400 424 500 530 800 848 1000 1060 1325 1600 1696 2000 2120 2650 3392 4000 4240 5300 6625 8000 8480 10600 13250 16960 21200 26500 42400 53000 54581 84800 106000 109162 212000 218324 272905 424000 436648 545810 873296 1091620 1364525 1746592 2183240 2729050 2892793 3493184 4366480 5458100 5785586 6822625 8732960 10916200 11571172 13645250 14463965 17465920 21832400 23142344 27290500 28927930 43664800 46284688 54581000 57855860 72319825 87329600 92569376 109162000 115711720 144639650 185138752 218324000 231423440 289279300 361599125 436648000 462846880 578558600 723198250 925693760 1157117200 1446396500 2314234400 2892793000 4628468800 5785586000 11571172000 23142344000