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422243014104 = 233359109730203
BaseRepresentation
bin1100010010011111010…
…01010001010111011000
31111100212211201120011000
412021033221101113120
523404223202422404
6521550433105000
742335401254432
oct6111751212730
91440784646130
10422243014104
111530881a008a
1269a003b8160
1330a81928052
1416618321652
15aeb452b339
hex624fa515d8

422243014104 has 128 divisors (see below), whose sum is σ = 1193903712000. Its totient is φ = 138231412992.

The previous prime is 422243014087. The next prime is 422243014111. The reversal of 422243014104 is 401410342224.

422243014104 is a `hidden beast` number, since 4 + 2 + 2 + 243 + 0 + 1 + 410 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13965067 + ... + 13995269.

It is an arithmetic number, because the mean of its divisors is an integer number (9327372750).

Almost surely, 2422243014104 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 422243014104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596951856000).

422243014104 is an abundant number, since it is smaller than the sum of its proper divisors (771660697896).

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

422243014104 is a wasteful number, since it uses less digits than its factorization.

422243014104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31374 (or 31364 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 422243014104 its reverse (401410342224), we get a palindrome (823653356328).

The spelling of 422243014104 in words is "four hundred twenty-two billion, two hundred forty-three million, fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 108 118 177 216 236 354 472 531 708 1062 1097 1416 1593 2124 2194 3186 3291 4248 4388 6372 6582 8776 9873 12744 13164 19746 26328 29619 30203 39492 59238 60406 64723 78984 90609 118476 120812 129446 181218 194169 236952 241624 258892 271827 362436 388338 517784 543654 582507 724872 776676 815481 1087308 1165014 1553352 1630962 1747521 1781977 2174616 2330028 3261924 3495042 3563954 4660056 5345931 6523848 6990084 7127908 10691862 13980168 14255816 16037793 21383724 32075586 33132691 42767448 48113379 64151172 66265382 96226758 99398073 128302344 132530764 192453516 198796146 265061528 298194219 384907032 397592292 596388438 795184584 894582657 1192776876 1789165314 1954828769 2385553752 3578330628 3909657538 5864486307 7156661256 7819315076 11728972614 15638630152 17593458921 23457945228 35186917842 46915890456 52780376763 70373835684 105560753526 140747671368 211121507052 422243014104