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21344042304 = 2632132850433
BaseRepresentation
bin10011111000001101…
…000011110101000000
32001002111120200200100
4103320031003311000
5322203033323204
613445540522400
71353632236404
oct237015036500
961074520610
1021344042304
119063178992
1241780b0400
132021c93340
1410669cd104
1584dc5aa39
hex4f8343d40

21344042304 has 84 divisors (see below), whose sum is σ = 65884931476. Its totient is φ = 6567395328.

The previous prime is 21344042299. The next prime is 21344042309. The reversal of 21344042304 is 40324044312.

It is a happy number.

21344042304 is a `hidden beast` number, since 21 + 3 + 4 + 404 + 230 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (21344042299) and next prime (21344042309).

It can be written as a sum of positive squares in 2 ways, for example, as 14388482304 + 6955560000 = 119952^2 + 83400^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21344042309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1417729 + ... + 1432704.

Almost surely, 221344042304 is an apocalyptic number.

21344042304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21344042304 is an abundant number, since it is smaller than the sum of its proper divisors (44540889172).

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

21344042304 is a wasteful number, since it uses less digits than its factorization.

21344042304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850464 (or 2850451 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 21344042304 its reverse (40324044312), we get a palindrome (61668086616).

The spelling of 21344042304 in words is "twenty-one billion, three hundred forty-four million, forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 2850433 5700866 8551299 11401732 17102598 22803464 25653897 34205196 37055629 45606928 51307794 68410392 74111258 91213856 102615588 111166887 136820784 148222516 182427712 205231176 222333774 273641568 296445032 333500661 410462352 444667548 547283136 592890064 667001322 820924704 889335096 1185780128 1334002644 1641849408 1778670192 2371560256 2668005288 3557340384 5336010576 7114680768 10672021152 21344042304