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4200420412422 = 2331324166137561
BaseRepresentation
bin111101000111111100100…
…100010000110000000110
3112212120000112001112212000
4331013330210100300012
51022304430111144142
612533351351010130
7612320222256243
oct75077444206006
915776015045760
104200420412422
11137a42a8aa953
1257a0a0369946
13246137255250
141074311ba5ca
15743e12c614c
hex3d1fc910c06

4200420412422 has 128 divisors (see below), whose sum is σ = 10109538848640. Its totient is φ = 1285092864000.

The previous prime is 4200420412417. The next prime is 4200420412453. The reversal of 4200420412422 is 2242140240024.

4200420412422 is a `hidden beast` number, since 4 + 20 + 0 + 4 + 204 + 12 + 422 = 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 63 ways as a sum of consecutive naturals, for example, 111810522 + ... + 111848082.

It is an arithmetic number, because the mean of its divisors is an integer number (78980772255).

Almost surely, 24200420412422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4200420412422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5054769424320).

4200420412422 is an abundant number, since it is smaller than the sum of its proper divisors (5909118436218).

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

4200420412422 is a wasteful number, since it uses less digits than its factorization.

4200420412422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38487 (or 38481 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 4200420412422 its reverse (2242140240024), we get a palindrome (6442560652446).

The spelling of 4200420412422 in words is "four trillion, two hundred billion, four hundred twenty million, four hundred twelve thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 241 351 482 661 702 723 1322 1446 1983 2169 3133 3966 4338 5949 6266 6507 8593 9399 11898 13014 17186 17847 18798 25779 28197 35694 37561 51558 56394 75122 77337 84591 112683 154674 159301 169182 225366 232011 318602 338049 464022 477903 488293 676098 955806 976586 1014147 1433709 1464879 2028294 2070913 2867418 2929758 4141826 4301127 4394637 6212739 8602254 8789274 9052201 12425478 13183911 18104402 18638217 24827821 26367822 27156603 37276434 49655642 54313206 55914651 74483463 81469809 111829302 117678613 148966926 162939618 223450389 235357226 244409427 322761673 353035839 446900778 488818854 645523346 670351167 706071678 968285019 1059107517 1340702334 1936570038 2118215034 2904855057 3177322551 5809710114 5983504861 6354645102 8714565171 11967009722 17429130342 17950514583 35901029166 53851543749 77785563193 107703087498 155571126386 161554631247 233356689579 323109262494 466713379158 700070068737 1400140137474 2100210206211 4200420412422