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21442402400 = 255231864613
BaseRepresentation
bin10011111110000100…
…010001100001100000
32001100100122220100212
4103332010101201200
5322403223334100
613503413033252
71356235261466
oct237604214140
961310586325
1021442402400
11910374a321
1241a5025828
132039481593
141075ab4836
158576d9635
hex4fe111860

21442402400 has 72 divisors (see below), whose sum is σ = 54034916544. Its totient is φ = 8300275200.

The previous prime is 21442402381. The next prime is 21442402427. The reversal of 21442402400 is 420424412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 407507 + ... + 457106.

It is an arithmetic number, because the mean of its divisors is an integer number (750484952).

Almost surely, 221442402400 is an apocalyptic number.

21442402400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21442402400 is an abundant number, since it is smaller than the sum of its proper divisors (32592514144).

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

21442402400 is a wasteful number, since it uses less digits than its factorization.

21442402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864664 (or 864651 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 21442402400 its reverse (420424412), we get a palindrome (21862826812).

The spelling of 21442402400 in words is "twenty-one billion, four hundred forty-two million, four hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 155 160 200 248 310 400 496 620 775 800 992 1240 1550 2480 3100 4960 6200 12400 24800 864613 1729226 3458452 4323065 6916904 8646130 13833808 17292260 21615325 26803003 27667616 34584520 43230650 53606006 69169040 86461300 107212012 134015015 138338080 172922600 214424024 268030030 345845200 428848048 536060060 670075075 691690400 857696096 1072120120 1340150150 2144240240 2680300300 4288480480 5360600600 10721201200 21442402400