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21344242240 = 26573913709
BaseRepresentation
bin10011111000001101…
…110100101001000000
32001002111221211221101
4103320031310221000
5322203111222430
613445545104144
71353634031326
oct237015645100
961074854841
1021344242240
1190632a5122
124178188054
132022033349
141066a41d16
1584dc99dca
hex4f8374a40

21344242240 has 56 divisors (see below), whose sum is σ = 51522279480. Its totient is φ = 8420732928.

The previous prime is 21344242229. The next prime is 21344242253. The reversal of 21344242240 is 4224244312.

It can be written as a sum of positive squares in 4 ways, for example, as 7043909184 + 14300333056 = 83928^2 + 119584^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21344242199 and 21344242208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 433495 + ... + 480214.

It is an arithmetic number, because the mean of its divisors is an integer number (920040705).

Almost surely, 221344242240 is an apocalyptic number.

21344242240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21344242240 is an abundant number, since it is smaller than the sum of its proper divisors (30178037240).

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

21344242240 is an equidigital number, since it uses as much as digits as its factorization.

21344242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913799 (or 913789 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 21344242240 its reverse (4224244312), we get a palindrome (25568486552).

The spelling of 21344242240 in words is "twenty-one billion, three hundred forty-four million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 146 160 292 320 365 584 730 1168 1460 2336 2920 4672 5840 11680 23360 913709 1827418 3654836 4568545 7309672 9137090 14619344 18274180 29238688 36548360 58477376 66700757 73096720 133401514 146193440 266803028 292386880 333503785 533606056 667007570 1067212112 1334015140 2134424224 2668030280 4268848448 5336060560 10672121120 21344242240