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12350941344 = 253372042153
BaseRepresentation
bin10111000000010110…
…00110100010100000
31011212202110211101000
423200023012202200
5200243320110334
65401323312000
7615032161230
oct134013064240
934782424330
1012350941344
11526886a045
12248837b600
13121aa8a321
14852491cc0
154c4493299
hex2e02c68a0

12350941344 has 96 divisors (see below), whose sum is σ = 41169824640. Its totient is φ = 3528838656.

The previous prime is 12350941313. The next prime is 12350941349. The reversal of 12350941344 is 44314905321.

12350941344 is a `hidden beast` number, since 1 + 235 + 0 + 9 + 413 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12350941299 and 12350941308.

It is not an unprimeable number, because it can be changed into a prime (12350941349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1015029 + ... + 1027124.

It is an arithmetic number, because the mean of its divisors is an integer number (428852340).

Almost surely, 212350941344 is an apocalyptic number.

12350941344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12350941344 is an abundant number, since it is smaller than the sum of its proper divisors (28818883296).

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

12350941344 is a wasteful number, since it uses less digits than its factorization.

12350941344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042179 (or 2042165 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 12350941344 in words is "twelve billion, three hundred fifty million, nine hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 2042153 4084306 6126459 8168612 12252918 14295071 16337224 18379377 24505836 28590142 32674448 36758754 42885213 49011672 55138131 57180284 65348896 73517508 85770426 98023344 110276262 114360568 128655639 147035016 171540852 196046688 220552524 228721136 257311278 294070032 343081704 385966917 441105048 457442272 514622556 588140064 686163408 771933834 882210096 1029245112 1372326816 1543867668 1764420192 2058490224 3087735336 4116980448 6175470672 12350941344