Search a number
-
+
42351544422 = 2321110119310973
BaseRepresentation
bin100111011100010110…
…010100100001100110
311001022112220101000100
4213130112110201212
51143213443410142
631242300324530
73026340121305
oct473426244146
9131275811010
1042351544422
1116a63385190
12825b543746
133cbc303a75
14209aa1643c
15117d18ab4c
hex9dc594866

42351544422 has 96 divisors (see below), whose sum is σ = 101627843616. Its totient is φ = 12639744000.

The previous prime is 42351544409. The next prime is 42351544463. The reversal of 42351544422 is 22444515324.

42351544422 is a `hidden beast` number, since 4 + 23 + 51 + 544 + 42 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3854128 + ... + 3865100.

It is an arithmetic number, because the mean of its divisors is an integer number (1058623371).

Almost surely, 242351544422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42351544422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50813921808).

42351544422 is an abundant number, since it is smaller than the sum of its proper divisors (59276299194).

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

42351544422 is a wasteful number, since it uses less digits than its factorization.

42351544422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11286 (or 11283 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

The spelling of 42351544422 in words is "forty-two billion, three hundred fifty-one million, five hundred forty-four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 101 193 198 202 303 386 579 606 909 1111 1158 1737 1818 2123 2222 3333 3474 4246 6369 6666 9999 10973 12738 19107 19493 19998 21946 32919 38214 38986 58479 65838 98757 116958 120703 175437 197514 214423 241406 350874 362109 428846 643269 724218 1086327 1108273 1286538 1929807 2117789 2172654 2216546 3324819 3859614 4235578 6353367 6649638 9974457 12191003 12706734 19060101 19948914 23295679 24382006 36573009 38120202 46591358 69887037 73146018 109719027 139774074 209661111 213896689 219438054 419322222 427793378 641690067 1283380134 1925070201 2352863579 3850140402 4705727158 7058590737 14117181474 21175772211 42351544422