Search a number
-
+
12314386344 = 23313127310781
BaseRepresentation
bin10110111011111111…
…01001111110101000
31011210012200122100010
423131333221332220
5200204440330334
65353540011520
7614106362001
oct133577517650
934705618303
1012314386344
11524a1717a7
122478090ba0
13121332b850
1484b6981a8
154c11720e9
hex2ddfe9fa8

12314386344 has 64 divisors (see below), whose sum is σ = 33415280640. Its totient is φ = 3759194880.

The previous prime is 12314386333. The next prime is 12314386363. The reversal of 12314386344 is 44368341321.

It is a super-2 number, since 2×123143863442 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115767 + ... + 195014.

It is an arithmetic number, because the mean of its divisors is an integer number (522113760).

Almost surely, 212314386344 is an apocalyptic number.

It is an amenable number.

12314386344 is an abundant number, since it is smaller than the sum of its proper divisors (21100894296).

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

12314386344 is a wasteful number, since it uses less digits than its factorization.

12314386344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310930 (or 310926 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The spelling of 12314386344 in words is "twelve billion, three hundred fourteen million, three hundred eighty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 127 156 254 312 381 508 762 1016 1524 1651 3048 3302 4953 6604 9906 13208 19812 39624 310781 621562 932343 1243124 1864686 2486248 3729372 4040153 7458744 8080306 12120459 16160612 24240918 32321224 39469187 48481836 78938374 96963672 118407561 157876748 236815122 315753496 473630244 513099431 947260488 1026198862 1539298293 2052397724 3078596586 4104795448 6157193172 12314386344