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12344847340 = 2257297112973
BaseRepresentation
bin10110111111100111…
…10110101111101100
31011212100000012222011
423133303312233230
5200240240103330
65400544531004
7614626320400
oct133763665754
934770005864
1012344847340
115265387581
122486320a64
1312197355c7
14851747100
154c3b8c82a
hex2dfcf6bec

12344847340 has 72 divisors (see below), whose sum is σ = 30190082832. Its totient is φ = 4227834240.

The previous prime is 12344847287. The next prime is 12344847341. The reversal of 12344847340 is 4374844321.

It is a junction number, because it is equal to n+sod(n) for n = 12344847293 and 12344847302.

It is not an unprimeable number, because it can be changed into a prime (12344847341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 945094 + ... + 958066.

It is an arithmetic number, because the mean of its divisors is an integer number (419306706).

Almost surely, 212344847340 is an apocalyptic number.

12344847340 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 12344847340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15095041416).

12344847340 is an abundant number, since it is smaller than the sum of its proper divisors (17845235492).

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

12344847340 is a wasteful number, since it uses less digits than its factorization.

12344847340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13967 (or 13958 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 40.

The spelling of 12344847340 in words is "twelve billion, three hundred forty-four million, eight hundred forty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 971 980 1942 3884 4855 6797 9710 12973 13594 19420 25946 27188 33985 47579 51892 64865 67970 90811 95158 129730 135940 181622 190316 237895 259460 363244 454055 475790 635677 908110 951580 1271354 1816220 2542708 3178385 6356770 12596783 12713540 25193566 50387132 62983915 88177481 125967830 176354962 251935660 352709924 440887405 617242367 881774810 1234484734 1763549620 2468969468 3086211835 6172423670 12344847340