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21424211013304 = 23117314932216949
BaseRepresentation
bin1001101111100001101100…
…11111001010111010111000
32210212010122002202012200001
410313300312133022322320
510302003241004411204
6113322051402522344
74340563630626361
oct467606637127270
983763562665601
1021424211013304
11690aa58652a30
1224a01a4b063b4
13bc53a9b29088
14540d1a110b68
1527245d7b94a4
hex137c367caeb8

21424211013304 has 128 divisors (see below), whose sum is σ = 44741014200000. Its totient is φ = 9536079974400.

The previous prime is 21424211013301. The next prime is 21424211013347. The reversal of 21424211013304 is 40331011242412.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21424211013301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3083060422 + ... + 3083067370.

Almost surely, 221424211013304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21424211013304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22370507100000).

21424211013304 is an abundant number, since it is smaller than the sum of its proper divisors (23316803186696).

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

21424211013304 is a wasteful number, since it uses less digits than its factorization.

21424211013304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10409 (or 10405 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 21424211013304 its reverse (40331011242412), we get a palindrome (61755222255716).

The spelling of 21424211013304 in words is "twenty-one trillion, four hundred twenty-four billion, two hundred eleven million, thirteen thousand, three hundred four".

Divisors: 1 2 4 8 11 22 44 73 88 146 149 292 298 584 596 803 1192 1606 1639 3212 3221 3278 6424 6442 6556 6949 10877 12884 13112 13898 21754 25768 27796 35431 43508 55592 70862 76439 87016 119647 141724 152878 235133 239294 283448 305756 470266 478588 479929 507277 611512 940532 957176 959858 1014554 1035401 1881064 1919716 2029108 2070802 2586463 3839432 4058216 4141604 5172926 5279219 5580047 8283208 10345852 10558438 11160094 11389411 20691704 21116876 22320188 22382729 22778822 35034817 42233752 44640376 44765458 45557644 70069634 75584273 89530916 91115288 140139268 151168546 179061832 246210019 280278536 302337092 385382987 492420038 604674184 770765974 831427003 984840076 1541531948 1633939217 1662854006 1969680152 3083063896 3267878434 3325708012 3335026621 6535756868 6651416024 6670053242 13071513736 13340106484 17973331387 26680212968 35946662774 36685292831 71893325548 73370585662 143786651096 146741171324 243456943333 293482342648 486913886666 973827773332 1947655546664 2678026376663 5356052753326 10712105506652 21424211013304