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32242343140 = 22571746729009
BaseRepresentation
bin11110000001110010…
…110001110011100100
310002020000122201220001
4132001302301303210
51012013014440030
622451213151044
72220665252260
oct360162616344
9102200581801
1032242343140
1112745a64687
1262b9a8b484
13306ab00967
1417bc1890a0
15c8a90bcca
hex781cb1ce4

32242343140 has 96 divisors (see below), whose sum is σ = 82111760640. Its totient is φ = 10381615104.

The previous prime is 32242343137. The next prime is 32242343149. The reversal of 32242343140 is 4134324223.

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 = 32242343099 and 32242343108.

It is not an unprimeable number, because it can be changed into a prime (32242343149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1096956 + ... + 1125964.

It is an arithmetic number, because the mean of its divisors is an integer number (855330840).

Almost surely, 232242343140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32242343140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41055880320).

32242343140 is an abundant number, since it is smaller than the sum of its proper divisors (49869417500).

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

32242343140 is a wasteful number, since it uses less digits than its factorization.

32242343140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29509 (or 29507 counting only the distinct ones).

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

Adding to 32242343140 its reverse (4134324223), we get a palindrome (36376667363).

It can be divided in two parts, 322423 and 43140, that added together give a palindrome (365563).

The spelling of 32242343140 in words is "thirty-two billion, two hundred forty-two million, three hundred forty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 467 476 595 934 1190 1868 2335 2380 3269 4670 6538 7939 9340 13076 15878 16345 29009 31756 32690 39695 55573 58018 65380 79390 111146 116036 145045 158780 203063 222292 277865 290090 406126 493153 555730 580180 812252 986306 1015315 1111460 1972612 2030630 2465765 3452071 4061260 4931530 6904142 9863060 13547203 13808284 17260355 27094406 34520710 54188812 67736015 69041420 94830421 135472030 189660842 230302451 270944060 379321684 460604902 474152105 921209804 948304210 1151512255 1612117157 1896608420 2303024510 3224234314 4606049020 6448468628 8060585785 16121171570 32242343140