Search a number
-
+
14211314304 = 273113364421
BaseRepresentation
bin11010011110000111…
…10111001010000000
31100200102002120022020
431033003313022000
5213101044024204
610310101441440
71012112115135
oct151703671200
940612076266
1014211314304
116032a09860
122907410280
131456328025
1498b5a258c
15582974bd9
hex34f0f7280

14211314304 has 64 divisors (see below), whose sum is σ = 41180525280. Its totient is φ = 4306457600.

The previous prime is 14211314291. The next prime is 14211314333. The reversal of 14211314304 is 40341311241.

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

It is a super-2 number, since 2×142113143042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1677987 + ... + 1686434.

Almost surely, 214211314304 is an apocalyptic number.

It is an amenable number.

14211314304 is an abundant number, since it is smaller than the sum of its proper divisors (26969210976).

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

14211314304 is a wasteful number, since it uses less digits than its factorization.

14211314304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3364449 (or 3364437 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14211314304 its reverse (40341311241), we get a palindrome (54552625545).

The spelling of 14211314304 in words is "fourteen billion, two hundred eleven million, three hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 3364421 6728842 10093263 13457684 20186526 26915368 37008631 40373052 53830736 74017262 80746104 107661472 111025893 148034524 161492208 215322944 222051786 296069048 322984416 430645888 444103572 592138096 645968832 888207144 1184276192 1291937664 1776414288 2368552384 3552828576 4737104768 7105657152 14211314304