Search a number
-
+
14314501344 = 2531121394793
BaseRepresentation
bin11010101010011010…
…11111010011100000
31100221121021000022110
431111031133103200
5213304003020334
610324225235320
71014504153033
oct152515372340
940847230273
1014314501344
116086187800
122935a92b40
131471816350
1499b18301a
1558ba58ae9
hex35535f4e0

14314501344 has 144 divisors (see below), whose sum is σ = 44479619856. Its totient is φ = 4004014080.

The previous prime is 14314501337. The next prime is 14314501361. The reversal of 14314501344 is 44310541341.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103612 + ... + 198404.

It is an arithmetic number, because the mean of its divisors is an integer number (308886249).

Almost surely, 214314501344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14314501344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22239809928).

14314501344 is an abundant number, since it is smaller than the sum of its proper divisors (30165118512).

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

14314501344 is a wasteful number, since it uses less digits than its factorization.

14314501344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94841 (or 94822 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 14314501344 in words is "fourteen billion, three hundred fourteen million, five hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 121 132 143 156 176 208 242 264 286 312 352 363 416 429 484 528 572 624 726 858 968 1056 1144 1248 1452 1573 1716 1936 2288 2904 3146 3432 3872 4576 4719 5808 6292 6864 9438 11616 12584 13728 18876 25168 37752 50336 75504 94793 151008 189586 284379 379172 568758 758344 1042723 1137516 1232309 1516688 2085446 2275032 2464618 3033376 3128169 3696927 4170892 4550064 4929236 6256338 7393854 8341784 9100128 9858472 11469953 12512676 13555399 14787708 16683568 19716944 22939906 25025352 27110798 29575416 33367136 34409859 39433888 40666197 45879812 50050704 54221596 59150832 68819718 81332394 91759624 100101408 108443192 118301664 137639436 149109389 162664788 183519248 216886384 275278872 298218778 325329576 367038496 433772768 447328167 550557744 596437556 650659152 894656334 1101115488 1192875112 1301318304 1789312668 2385750224 3578625336 4771500448 7157250672 14314501344