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23240400444 = 2238885551
BaseRepresentation
bin10101101001001111…
…000101111000111100
32012222122220200000000
4111221033011320330
5340044020303234
614402042234300
71451630100342
oct255117057074
965878820000
1023240400444
119946666918
1246071b5990
132264b20351
1411a67c9992
15910499899
hex5693c5e3c

23240400444 has 54 divisors (see below), whose sum is σ = 61003020624. Its totient is φ = 7746791400.

The previous prime is 23240400427. The next prime is 23240400457. The reversal of 23240400444 is 44400404232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (54).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 17 ways as a sum of consecutive naturals, for example, 416532 + ... + 469019.

Almost surely, 223240400444 is an apocalyptic number.

It is an amenable number.

23240400444 is an abundant number, since it is smaller than the sum of its proper divisors (37762620180).

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

23240400444 is an frugal number, since it uses more digits than its factorization.

23240400444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885579 (or 885556 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 23240400444 its reverse (44400404232), we get a palindrome (67640804676).

The spelling of 23240400444 in words is "twenty-three billion, two hundred forty million, four hundred thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 6561 8748 13122 26244 885551 1771102 2656653 3542204 5313306 7969959 10626612 15939918 23909877 31879836 47819754 71729631 95639508 143459262 215188893 286918524 430377786 645566679 860755572 1291133358 1936700037 2582266716 3873400074 5810100111 7746800148 11620200222 23240400444