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321142221034032 = 243101147674485827
BaseRepresentation
bin100100100000100111100000…
…0000000011101001000110000
31120010001220012112210121122210
41021001033000000131020300
5314043043232041042112
63055002411043132120
7124433521420223136
oct11101170000351060
91503056175717583
10321142221034032
1193364718682302
1230027620074040
1310a26773730998
14594351b6bd756
15271d9a5b51b3c
hex12413c001d230

321142221034032 has 80 divisors (see below), whose sum is σ = 837888361569792. Its totient is φ = 105980330745600.

The previous prime is 321142221033979. The next prime is 321142221034043. The reversal of 321142221034032 is 230430122241123.

It is a happy number.

It is a super-2 number, since 2×3211422210340322 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69347503 + ... + 73833329.

Almost surely, 2321142221034032 is an apocalyptic number.

It is an amenable number.

321142221034032 is an abundant number, since it is smaller than the sum of its proper divisors (516746140535760).

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

321142221034032 is a wasteful number, since it uses less digits than its factorization.

321142221034032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4500706 (or 4500700 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 321142221034032 its reverse (230430122241123), we get a palindrome (551572343275155).

The spelling of 321142221034032 in words is "three hundred twenty-one trillion, one hundred forty-two billion, two hundred twenty-one million, thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1212 1616 2424 4848 14767 29534 44301 59068 88602 118136 177204 236272 354408 708816 1491467 2982934 4474401 4485827 5965868 8948802 8971654 11931736 13457481 17897604 17943308 23863472 26914962 35795208 35886616 53829924 71590416 71773232 107659848 215319696 453068527 906137054 1359205581 1812274108 2718411162 3624548216 5436822324 7249096432 10873644648 21747289296 66242207309 132484414618 198726621927 264968829236 397453243854 529937658472 794906487708 1059875316944 1589812975416 3179625950832 6690462938209 13380925876418 20071388814627 26761851752836 40142777629254 53523703505672 80285555258508 107047407011344 160571110517016 321142221034032