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32414222020422 = 231137431631893799
BaseRepresentation
bin1110101111011000001100…
…01100000110111101000110
311020202202202212100110210010
413113230012030012331012
513222033311314123142
6152534515451411050
76553564432103544
oct727540614067506
9136682685313703
1032414222020422
11a367881325720
123776115453a86
131511856917a48
14800bdcb8ad94
153b327d03be9c
hex1d7b06306f46

32414222020422 has 128 divisors (see below), whose sum is σ = 74778495897600. Its totient is φ = 9277489146240.

The previous prime is 32414222020417. The next prime is 32414222020489. The reversal of 32414222020422 is 22402022241423.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 32414222020422.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16169079 + ... + 18062877.

It is an arithmetic number, because the mean of its divisors is an integer number (584206999200).

Almost surely, 232414222020422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32414222020422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37389247948800).

32414222020422 is an abundant number, since it is smaller than the sum of its proper divisors (42364273877178).

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

32414222020422 is a wasteful number, since it uses less digits than its factorization.

32414222020422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894058.

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 32414222020422 its reverse (22402022241423), we get a palindrome (54816244261845).

The spelling of 32414222020422 in words is "thirty-two trillion, four hundred fourteen billion, two hundred twenty-two million, twenty thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 37 43 66 74 86 111 129 163 222 258 326 407 473 489 814 946 978 1221 1419 1591 1793 2442 2838 3182 3586 4773 5379 6031 7009 9546 10758 12062 14018 17501 18093 21027 35002 36186 42054 52503 66341 77099 105006 132682 154198 199023 231297 259333 398046 462594 518666 777999 1555998 1893799 2852663 3787598 5681397 5705326 8557989 11362794 17115978 20831789 41663578 62495367 70070563 81433357 124990734 140141126 162866714 210211689 244300071 308689237 420423378 488600142 617378474 770776193 895766927 926067711 1541552386 1791533854 1852135422 2312328579 2687300781 3013034209 3395581607 4624657158 5374601562 6026068418 6791163214 9039102627 10186744821 11421501769 13273637191 18078205254 20373489642 22843003538 26547274382 33143376299 34264505307 39820911573 66286752598 68529010614 79641823146 99430128897 125636519459 146010009101 198860257794 251273038918 292020018202 376909558377 438030027303 491124576067 753819116754 876060054606 982249152134 1473373728201 2946747456402 5402370336737 10804740673474 16207111010211 32414222020422