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21443344314 = 23723297110781
BaseRepresentation
bin10011111110000111…
…110111011110111010
32001100102102202102120
4103332013313132322
5322403444004224
613503445142110
71356246263550
oct237607673672
961312382376
1021443344314
119104232a67
1241a53ba936
132039721222
141075c7bbd0
15857823779
hex4fe1f77ba

21443344314 has 128 divisors (see below), whose sum is σ = 53658132480. Its totient is φ = 5578003200.

The previous prime is 21443344271. The next prime is 21443344331. The reversal of 21443344314 is 41344334412.

It is a super-2 number, since 2×214433443142 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1983604 + ... + 1994384.

It is an arithmetic number, because the mean of its divisors is an integer number (419204160).

Almost surely, 221443344314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21443344314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26829066240).

21443344314 is an abundant number, since it is smaller than the sum of its proper divisors (32214788166).

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

21443344314 is a wasteful number, since it uses less digits than its factorization.

21443344314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10916.

The product of its digits is 55296, while the sum is 33.

Adding to 21443344314 its reverse (41344334412), we get a palindrome (62787678726).

The spelling of 21443344314 in words is "twenty-one billion, four hundred forty-three million, three hundred forty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 23 29 42 46 58 69 71 87 138 142 161 174 203 213 322 406 426 483 497 609 667 966 994 1218 1334 1491 1633 2001 2059 2982 3266 4002 4118 4669 4899 6177 9338 9798 10781 11431 12354 14007 14413 21562 22862 28014 28826 32343 34293 43239 47357 64686 68586 75467 86478 94714 142071 150934 226401 247963 284142 312649 331499 452802 495926 625298 662998 743889 765451 937947 994497 1487778 1530902 1735741 1875894 1988994 2188543 2296353 3471482 4377086 4592706 5207223 5358157 6565629 7190927 10414446 10716314 13131258 14381854 16074471 17605373 21572781 22198079 32148942 35210746 43145562 44396158 50336489 52816119 66594237 100672978 105632238 123237611 133188474 151009467 155386553 246475222 302018934 310773106 369712833 466159659 510555817 739425666 932319318 1021111634 1531667451 3063334902 3573890719 7147781438 10721672157 21443344314