Search a number
-
+
14405460144 = 243476385399
BaseRepresentation
bin11010110101010000…
…11110000010110000
31101011221102012022220
431122220132002300
5214000244211034
610341235001040
71016660251035
oct153250360260
941157365286
1014405460144
116122563469
122960439180
13148761281a
149a929d38c
15594a24749
hex35aa1e0b0

14405460144 has 40 divisors (see below), whose sum is σ = 38005900800. Its totient is φ = 4699652928.

The previous prime is 14405460127. The next prime is 14405460151. The reversal of 14405460144 is 44106450441.

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, 3190444 + ... + 3194955.

It is an arithmetic number, because the mean of its divisors is an integer number (950147520).

Almost surely, 214405460144 is an apocalyptic number.

It is an amenable number.

14405460144 is an abundant number, since it is smaller than the sum of its proper divisors (23600440656).

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

14405460144 is a wasteful number, since it uses less digits than its factorization.

14405460144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6385457 (or 6385451 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The spelling of 14405460144 in words is "fourteen billion, four hundred five million, four hundred sixty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 6385399 12770798 19156197 25541596 38312394 51083192 76624788 102166384 153249576 300113753 306499152 600227506 900341259 1200455012 1800682518 2400910024 3601365036 4801820048 7202730072 14405460144