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4102224442302 = 237734612902327
BaseRepresentation
bin111011101100011111101…
…000010111001110111110
3112112011120002000102100210
4323230133220113032332
51014202323424123202
612420311430333250
7602242642301130
oct73543750271676
915464502012323
104102224442302
11134181a831138
125630567ba226
13239ab8416c0c
141027979a1050
1571a9563dc6c
hex3bb1fa173be

4102224442302 has 64 divisors (see below), whose sum is σ = 9525579807744. Its totient is φ = 1153500445440.

The previous prime is 4102224442297. The next prime is 4102224442313. The reversal of 4102224442302 is 2032444222014.

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 4102224442302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37738 + ... + 2864589.

It is an arithmetic number, because the mean of its divisors is an integer number (148837184496).

Almost surely, 24102224442302 is an apocalyptic number.

4102224442302 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4102224442302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4762789903872).

4102224442302 is an abundant number, since it is smaller than the sum of its proper divisors (5423355365442).

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

4102224442302 is a wasteful number, since it uses less digits than its factorization.

4102224442302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902873.

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

Adding to 4102224442302 its reverse (2032444222014), we get a palindrome (6134668664316).

The spelling of 4102224442302 in words is "four trillion, one hundred two billion, two hundred twenty-four million, four hundred forty-two thousand, three hundred two".

Divisors: 1 2 3 6 7 14 21 42 73 146 219 438 461 511 922 1022 1383 1533 2766 3066 3227 6454 9681 19362 33653 67306 100959 201918 235571 471142 706713 1413426 2902327 5804654 8706981 17413962 20316289 40632578 60948867 121897734 211869871 423739742 635609613 1271219226 1337972747 1483089097 2675945494 2966178194 4013918241 4449267291 8027836482 8898534582 9365809229 18731618458 28097427687 56194855374 97672010531 195344021062 293016031593 586032063186 683704073717 1367408147434 2051112221151 4102224442302