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12332434240 = 26575505551
BaseRepresentation
bin10110111110001001…
…00000001101000000
31011211110122120101201
423133010200031000
5200224100343430
65355422510544
7614415650530
oct133704401500
934743576351
1012332434240
115259379415
122482135454
131216caa589
1484dc354c0
154c2a398ca
hex2df120340

12332434240 has 56 divisors (see below), whose sum is σ = 33561844992. Its totient is φ = 4228262400.

The previous prime is 12332434211. The next prime is 12332434243. The reversal of 12332434240 is 4243423321.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 12332434199 and 12332434208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12332434243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2750536 + ... + 2755015.

Almost surely, 212332434240 is an apocalyptic number.

12332434240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12332434240 is an abundant number, since it is smaller than the sum of its proper divisors (21229410752).

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

12332434240 is an equidigital number, since it uses as much as digits as its factorization.

12332434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505575 (or 5505565 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 12332434240 its reverse (4243423321), we get a palindrome (16575857561).

The spelling of 12332434240 in words is "twelve billion, three hundred thirty-two million, four hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 5505551 11011102 22022204 27527755 38538857 44044408 55055510 77077714 88088816 110111020 154155428 176177632 192694285 220222040 308310856 352355264 385388570 440444080 616621712 770777140 880888160 1233243424 1541554280 1761776320 2466486848 3083108560 6166217120 12332434240