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32400344012330 = 257618391420513
BaseRepresentation
bin1110101110111110010101…
…11111101101011000101010
311020201102221200102121122102
413113133022333231120222
513221321401031343310
6152524302413453402
76552563505013550
oct727371277553052
9136642850377572
1032400344012330
11a3619aa579848
1237734a17a1262
13151045467c638
1480028398bbd0
153b2c199a48a5
hex1d77cafed62a

32400344012330 has 64 divisors (see below), whose sum is σ = 68560997315328. Its totient is φ = 10794934056960.

The previous prime is 32400344012317. The next prime is 32400344012353. The reversal of 32400344012330 is 3321044300423.

It is a junction number, because it is equal to n+sod(n) for n = 32400344012293 and 32400344012302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45355847 + ... + 46064666.

It is an arithmetic number, because the mean of its divisors is an integer number (1071265583052).

Almost surely, 232400344012330 is an apocalyptic number.

32400344012330 is an abundant number, since it is smaller than the sum of its proper divisors (36160653302998).

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

32400344012330 is a wasteful number, since it uses less digits than its factorization.

32400344012330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91420671.

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 32400344012330 its reverse (3321044300423), we get a palindrome (35721388312753).

The spelling of 32400344012330 in words is "thirty-two trillion, four hundred billion, three hundred forty-four million, twelve thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 35 61 70 83 122 166 305 415 427 581 610 830 854 1162 2135 2905 4270 5063 5810 10126 25315 35441 50630 70882 177205 354410 91420513 182841026 457102565 639943591 914205130 1279887182 3199717955 5576651293 6399435910 7587902579 11153302586 15175805158 27883256465 37939512895 39036559051 53115318053 55766512930 75879025790 78073118102 106230636106 195182795255 265576590265 390365590510 462862057319 531153180530 925724114638 2314310286595 3240034401233 4628620573190 6480068802466 16200172006165 32400344012330