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12311714420 = 2254325772
BaseRepresentation
bin10110111011101010…
…11101101001110100
31011210000122220010222
423131311131221310
5200203244330140
65353402433512
7614044563065
oct133565355164
934700586128
1012311714420
1152487072a5
122477202898
131212904625
1484b1a056c
154c0ce55b5
hex2ddd5da74

12311714420 has 54 divisors (see below), whose sum is σ = 26515807542. Its totient is φ = 4801821696.

The previous prime is 12311714419. The next prime is 12311714453. The reversal of 12311714420 is 2441711321.

It can be written as a sum of positive squares in 3 ways, for example, as 8981731984 + 3329982436 = 94772^2 + 57706^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12311714420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21337172 + ... + 21337748.

It is an arithmetic number, because the mean of its divisors is an integer number (491033473).

Almost surely, 212311714420 is an apocalyptic number.

12311714420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12311714420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13257903771).

12311714420 is an abundant number, since it is smaller than the sum of its proper divisors (14204093122).

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

12311714420 is an frugal number, since it uses more digits than its factorization.

12311714420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The spelling of 12311714420 in words is "twelve billion, three hundred eleven million, seven hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 577 860 1154 1849 2308 2885 3698 5770 7396 9245 11540 18490 24811 36980 49622 99244 124055 248110 332929 496220 665858 1066873 1331716 1664645 2133746 3329290 4267492 5334365 6658580 10668730 14315947 21337460 28631894 57263788 71579735 143159470 286318940 615585721 1231171442 2462342884 3077928605 6155857210 12311714420