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422014023334404 = 2232234327457431693
BaseRepresentation
bin101111111110100011100101…
…1111100110111101000000100
32001100020010221212221200010100
41133331013023330313220010
5420303234204433200104
64053314322122524100
7154614335623565214
oct13775071374675004
92040203855850110
10422014023334404
11112515162320186
123b3b918a666630
13151629a0484a57
14762d832984244
1533bc847184139
hex17fd1cbf37a04

422014023334404 has 144 divisors (see below), whose sum is σ = 1139069501361792. Its totient is φ = 131420914200576.

The previous prime is 422014023334403. The next prime is 422014023334429. The reversal of 422014023334404 is 404433320410224.

422014023334404 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 14 + 0 + 233 + 3 + 4 + 404 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (422014023334403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 977363182 + ... + 977794874.

It is an arithmetic number, because the mean of its divisors is an integer number (7910204870568).

Almost surely, 2422014023334404 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 422014023334404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569534750680896).

422014023334404 is an abundant number, since it is smaller than the sum of its proper divisors (717055478027388).

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

422014023334404 is a wasteful number, since it uses less digits than its factorization.

422014023334404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459226 (or 459221 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 422014023334404 its reverse (404433320410224), we get a palindrome (826447343744628).

The spelling of 422014023334404 in words is "four hundred twenty-two trillion, fourteen billion, twenty-three million, three hundred thirty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 36 43 46 69 86 92 129 138 172 207 258 276 387 414 516 774 828 989 1548 1978 2967 3956 5934 8901 11868 17802 27457 35604 54914 82371 109828 164742 247113 329484 431693 494226 631511 863386 988452 1180651 1263022 1295079 1726772 1894533 2361302 2526044 2590158 3541953 3789066 3885237 4722604 5180316 5683599 7083906 7578132 7770474 9928939 10625859 11367198 14167812 15540948 18562799 19857878 21251718 22734396 27154973 29786817 37125598 39715756 42503436 54309946 55688397 59573634 74251196 81464919 89360451 108619892 111376794 119147268 162929838 167065191 178720902 222753588 244394757 325859676 334130382 357441804 426944377 488789514 668260764 853888754 977579028 1280833131 1707777508 2561666262 3842499393 5123332524 7684998786 11852994701 15369997572 23705989402 35558984103 47411978804 71117968206 106676952309 142235936412 213353904618 272618878123 426707809236 509678772143 545237756246 817856634369 1019357544286 1090475512492 1529036316429 1635713268738 2038715088572 2453569903107 3058072632858 3271426537476 4587108949287 4907139806214 6116145265716 9174217898574 9814279612428 11722611759289 18348435797148 23445223518578 35167835277867 46890447037156 70335670555734 105503505833601 140671341111468 211007011667202 422014023334404