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23034440400 = 2435219195367
BaseRepresentation
bin10101011100111101…
…011010101011010000
32012110022100210221020
4111130331122223100
5334133304043100
614325403555440
71443546340626
oct253475325320
965408323836
1023034440400
119850383004
12456a22bb80
13223125a2ba
1411872d5516
158ec3645a0
hex55cf5aad0

23034440400 has 60 divisors (see below), whose sum is σ = 73786994592. Its totient is φ = 6142517120.

The previous prime is 23034440383. The next prime is 23034440483. The reversal of 23034440400 is 404443032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9596484 + ... + 9598883.

Almost surely, 223034440400 is an apocalyptic number.

23034440400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23034440400 is an abundant number, since it is smaller than the sum of its proper divisors (50752554192).

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

23034440400 is a wasteful number, since it uses less digits than its factorization.

23034440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19195388 (or 19195377 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 23034440400 its reverse (404443032), we get a palindrome (23438883432).

The spelling of 23034440400 in words is "twenty-three billion, thirty-four million, four hundred forty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 19195367 38390734 57586101 76781468 95976835 115172202 153562936 191953670 230344404 287930505 307125872 383907340 460688808 479884175 575861010 767814680 921377616 959768350 1151722020 1439652525 1535629360 1919536700 2303444040 2879305050 3839073400 4606888080 5758610100 7678146800 11517220200 23034440400