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12344809344 = 27374592563
BaseRepresentation
bin10110111111100111…
…01101011110000000
31011212022221021211220
423133303231132000
5200240232344334
65400544035040
7614626101540
oct133763553600
934768837756
1012344809344
115265360a7a
122486302a80
13121972121a
14851737320
154c3b81449
hex2dfced780

12344809344 has 64 divisors (see below), whose sum is σ = 37475322240. Its totient is φ = 3527087616.

The previous prime is 12344809307. The next prime is 12344809357. The reversal of 12344809344 is 44390844321.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 12344809296 and 12344809305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2293594 + ... + 2298969.

It is an arithmetic number, because the mean of its divisors is an integer number (585551910).

Almost surely, 212344809344 is an apocalyptic number.

12344809344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12344809344 is an abundant number, since it is smaller than the sum of its proper divisors (25130512896).

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

12344809344 is an equidigital number, since it uses as much as digits as its factorization.

12344809344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4592587 (or 4592575 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 12344809344 in words is "twelve billion, three hundred forty-four million, eight hundred nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 4592563 9185126 13777689 18370252 27555378 32147941 36740504 55110756 64295882 73481008 96443823 110221512 128591764 146962016 192887646 220443024 257183528 293924032 385775292 440886048 514367056 587848064 771550584 881772096 1028734112 1543101168 1763544192 2057468224 3086202336 4114936448 6172404672 12344809344