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21404223144 = 2332619195303
BaseRepresentation
bin10011111011110010…
…101000011010101000
32001020200211012021100
4103323302220122220
5322313440120034
613455530441400
71355262615633
oct237362503250
961220735240
1021404223144
119094142717
124194293260
1320315a46c5
1410709b6c1a
15854197099
hex4fbca86a8

21404223144 has 96 divisors (see below), whose sum is σ = 58995331200. Its totient is φ = 7008819840.

The previous prime is 21404223119. The next prime is 21404223149. The reversal of 21404223144 is 44132240412.

21404223144 is a `hidden beast` number, since 21 + 404 + 2 + 231 + 4 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (21404223149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4033597 + ... + 4038899.

It is an arithmetic number, because the mean of its divisors is an integer number (614534700).

Almost surely, 221404223144 is an apocalyptic number.

21404223144 is a gapful number since it is divisible by the number (24) 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 21404223144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29497665600).

21404223144 is an abundant number, since it is smaller than the sum of its proper divisors (37591108056).

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

21404223144 is a wasteful number, since it uses less digits than its factorization.

21404223144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6295 (or 6288 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 21404223144 its reverse (44132240412), we get a palindrome (65536463556).

The spelling of 21404223144 in words is "twenty-one billion, four hundred four million, two hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 919 1098 1464 1838 2196 2757 3676 4392 5303 5514 7352 8271 10606 11028 15909 16542 21212 22056 31818 33084 42424 47727 56059 63636 66168 95454 112118 127272 168177 190908 224236 323483 336354 381816 448472 504531 646966 672708 970449 1009062 1293932 1345416 1940898 2018124 2587864 2911347 3881796 4036248 4873457 5822694 7763592 9746914 11645388 14620371 19493828 23290776 29240742 38987656 43861113 58481484 87722226 116962968 175444452 297280877 350888904 594561754 891842631 1189123508 1783685262 2378247016 2675527893 3567370524 5351055786 7134741048 10702111572 21404223144