Search a number
-
+
14134208688 = 2432547179441
BaseRepresentation
bin11010010100111011…
…01110100010110000
31100111001000012021200
431022131232202300
5212421324134223
610254305051200
71010154535335
oct151235564260
940431005250
1014134208688
115aa3435206
1228a5626b00
13144336c1c2
1498125098c
1557ace3a43
hex34a76e8b0

14134208688 has 60 divisors (see below), whose sum is σ = 39628689048. Its totient is φ = 4702763520.

The previous prime is 14134208657. The next prime is 14134208707. The reversal of 14134208688 is 88680243141.

14134208688 is a `hidden beast` number, since 141 + 3 + 420 + 8 + 6 + 88 = 666.

14134208688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10953 + ... + 168488.

Almost surely, 214134208688 is an apocalyptic number.

14134208688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14134208688 is an abundant number, since it is smaller than the sum of its proper divisors (25494480360).

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

14134208688 is a wasteful number, since it uses less digits than its factorization.

14134208688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180002 (or 179993 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 14134208688 in words is "fourteen billion, one hundred thirty-four million, two hundred eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 547 1094 1641 2188 3282 4376 4923 6564 8752 9846 13128 19692 26256 39384 78768 179441 358882 538323 717764 1076646 1435528 1614969 2153292 2871056 3229938 4306584 6459876 8613168 12919752 25839504 98154227 196308454 294462681 392616908 588925362 785233816 883388043 1177850724 1570467632 1766776086 2355701448 3533552172 4711402896 7067104344 14134208688