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23313440000 = 2854145709
BaseRepresentation
bin10101101101100101…
…101101110100000000
32020011202100110102202
4111231211231310000
5340221220040000
614413211532332
71453504653554
oct255545556400
966152313382
1023313440000
119983913594
12462775a0a8
132276cb4516
1411b239d864
15916ac5dd5
hex56d96dd00

23313440000 has 90 divisors (see below), whose sum is σ = 58151549610. Its totient is φ = 9325312000.

The previous prime is 23313439973. The next prime is 23313440027. The reversal of 23313440000 is 4431332.

It is an interprime number because it is at equal distance from previous prime (23313439973) and next prime (23313440027).

It can be written as a sum of positive squares in 5 ways, for example, as 13175366656 + 10138073344 = 114784^2 + 100688^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 87146 + ... + 232854.

It is an arithmetic number, because the mean of its divisors is an integer number (646128329).

Almost surely, 223313440000 is an apocalyptic number.

23313440000 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 23313440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29075774805).

23313440000 is an abundant number, since it is smaller than the sum of its proper divisors (34838109610).

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

23313440000 is an frugal number, since it uses more digits than its factorization.

23313440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145745 (or 145716 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 23313440000 its reverse (4431332), we get a palindrome (23317871332).

The spelling of 23313440000 in words is "twenty-three billion, three hundred thirteen million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3200 4000 5000 6400 8000 10000 16000 20000 32000 40000 80000 145709 160000 291418 582836 728545 1165672 1457090 2331344 2914180 3642725 4662688 5828360 7285450 9325376 11656720 14570900 18213625 18650752 23313440 29141800 36427250 37301504 46626880 58283600 72854500 91068125 93253760 116567200 145709000 182136250 186507520 233134400 291418000 364272500 466268800 582836000 728545000 932537600 1165672000 1457090000 2331344000 2914180000 4662688000 5828360000 11656720000 23313440000