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21938700241304 = 23711312775141399
BaseRepresentation
bin1001111110100000000000…
…11011110100100110011000
32212200022121201222222010122
410333100000123310212120
510333420424230210204
6114354255540332412
74423006305125210
oct477200033644630
985608551888118
1021938700241304
116a99172388920
122563a4a3a4108
13c31a6ca38a32
1455bba579b240
15280a2146c0be
hex13f4006f4998

21938700241304 has 128 divisors (see below), whose sum is σ = 52942823424000. Its totient is φ = 8271320400000.

The previous prime is 21938700241217. The next prime is 21938700241309. The reversal of 21938700241304 is 40314200783912.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21938700241309) 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, 529912397 + ... + 529953795.

It is an arithmetic number, because the mean of its divisors is an integer number (413615808000).

Almost surely, 221938700241304 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 21938700241304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26471411712000).

21938700241304 is an abundant number, since it is smaller than the sum of its proper divisors (31004123182696).

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

21938700241304 is a wasteful number, since it uses less digits than its factorization.

21938700241304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69205 (or 69201 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 21938700241304 in words is "twenty-one trillion, nine hundred thirty-eight billion, seven hundred million, two hundred forty-one thousand, three hundred four".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 56 62 77 88 124 154 217 248 308 341 434 616 682 868 1364 1736 2387 2728 4774 9548 19096 27751 41399 55502 82798 111004 165596 194257 222008 289793 305261 331192 388514 455389 579586 610522 777028 860281 910778 1159172 1221044 1283369 1554056 1720562 1821556 2136827 2318344 2442088 2566738 3187723 3441124 3643112 4273654 5133476 6021967 6375446 6882248 8547308 8983583 9463091 10266952 12043934 12750892 14117059 17094616 17967166 18926182 24087868 25501784 28234118 35934332 37852364 48175736 56468236 66241637 71868664 75704728 98819413 112936472 132483274 197638826 264966548 395277652 529933096 790555304 1148863649 2297727298 4595454596 8042045543 9190909192 12637500139 16084091086 25275000278 32168182172 35614773119 50550000556 64336364344 71229546238 88462500973 101100001112 142459092476 176925001946 249303411833 284918184952 353850003892 391762504309 498606823666 707700007784 783525008618 997213647332 1567050017236 1994427294664 2742337530163 3134100034472 5484675060326 10969350120652 21938700241304