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421222424222124 = 223272207842389917
BaseRepresentation
bin101111111000110010111110…
…0111101111001100110101100
32001020102110200222120020121100
41133301211330331321212230
5420202302011100101444
64051510524342403100
7154503213226263210
oct13761457475714654
92036373628506540
10421222424222124
1111223a4772557a8
123b2ab889730490
1315106147b10b75
1476033ba23c940
1533a6e66678e69
hex17f197cf799ac

421222424222124 has 144 divisors (see below), whose sum is σ = 1217574222778368. Its totient is φ = 120279113979264.

The previous prime is 421222424222071. The next prime is 421222424222137.

421222424222124 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 2 + 2 + 424 + 2 + 221 + 2 + 4 = 666.

421222424222124 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4684524414 + ... + 4684614330.

It is an arithmetic number, because the mean of its divisors is an integer number (8455376547072).

Almost surely, 2421222424222124 is an apocalyptic number.

It is an amenable number.

421222424222124 is an abundant number, since it is smaller than the sum of its proper divisors (796351798556244).

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

421222424222124 is a wasteful number, since it uses less digits than its factorization.

421222424222124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100564 (or 100559 counting only the distinct ones).

The product of its digits is 131072, while the sum is 36.

The spelling of 421222424222124 in words is "four hundred twenty-one trillion, two hundred twenty-two billion, four hundred twenty-four million, two hundred twenty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 2207 4414 6621 8423 8828 13242 15449 16846 19863 25269 26484 30898 33692 39726 46347 50538 58961 61796 75807 79452 89917 92694 101076 117922 139041 151614 176883 179834 185388 235844 269751 278082 303228 353766 359668 530649 539502 556164 629419 707532 809253 1061298 1079004 1258838 1618506 1888257 2122596 2517676 3237012 3776514 5664771 7553028 11329542 18589561 22659084 37179122 55768683 74358244 111537366 130126927 167306049 198446819 223074732 260253854 334612098 390380781 396893638 520507708 595340457 669224196 757370891 780761562 793787276 1171142343 1190680914 1389127733 1514741782 1561523124 1786021371 2272112673 2342284686 2381361828 2778255466 3029483564 3572042742 4167383199 4544225346 4684569372 5301596237 5556510932 6816338019 7144085484 8334766398 9088450692 10603192474 12502149597 13632676038 15904788711 16669532796 21206384948 25004299194 27265352076 31809577422 47714366133 50008598388 63619154844 95428732266 190857464532 1671517556437 3343035112874 5014552669311 6686070225748 10029105338622 11700622895059 15043658007933 20058210677244 23401245790118 30087316015866 35101868685177 46802491580236 60174632031732 70203737370354 105305606055531 140407474740708 210611212111062 421222424222124