Search a number
-
+
14377344212 = 2272114123967
BaseRepresentation
bin11010110001111010…
…01101110011010100
31101002222111202112002
431120331031303110
5213421100003322
610334352214432
71016166260300
oct153075156324
941088452462
1014377344212
1161086aa560
122952b3a418
13148184a28a
149a5660d00
1559231dc92
hex358f4dcd4

14377344212 has 108 divisors (see below), whose sum is σ = 32734904832. Its totient is φ = 5463561600.

The previous prime is 14377344211. The next prime is 14377344217. The reversal of 14377344212 is 21244377341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14377344211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3622253 + ... + 3626219.

Almost surely, 214377344212 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 14377344212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16367452416).

14377344212 is an abundant number, since it is smaller than the sum of its proper divisors (18357560620).

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

14377344212 is a wasteful number, since it uses less digits than its factorization.

14377344212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4078 (or 4028 counting only the distinct ones).

The product of its digits is 112896, while the sum is 38.

The spelling of 14377344212 in words is "fourteen billion, three hundred seventy-seven million, three hundred forty-four thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 41 44 49 77 82 98 154 164 196 287 308 451 539 574 902 1078 1148 1681 1804 2009 2156 3157 3362 3967 4018 6314 6724 7934 8036 11767 12628 15868 18491 22099 23534 27769 36982 43637 44198 47068 55538 73964 82369 87274 88396 111076 129437 162647 164738 174548 194383 258874 305459 325294 329476 388766 517748 610918 650588 777532 906059 1138529 1221836 1789117 1812118 2138213 2277058 3578234 3624236 4276426 4554116 6668527 7156468 7969703 8552852 12523819 13337054 15939406 25047638 26674108 31878812 46679689 50095276 73353797 87666733 93359378 146707594 175333466 186718756 293415188 326757823 350666932 513476579 653515646 1026953158 1307031292 2053906316 3594336053 7188672106 14377344212