Search a number
-
+
14848020054432 = 253273936973573
BaseRepresentation
bin1101100000010001001011…
…1101100000000110100000
31221120110100001021012122200
43120010102331200012200
53421232221113220212
651325030343533200
73061506531030225
oct330042275400640
957513301235580
1014848020054432
114805012262a84
1217b978ba5a200
138392156c80c6
143949101a994c
151ab36ed346dc
hexd8112f601a0

14848020054432 has 72 divisors (see below), whose sum is σ = 42229774441764. Its totient is φ = 4948669845504.

The previous prime is 14848020054421. The next prime is 14848020054487. The reversal of 14848020054432 is 23445002084841.

14848020054432 is a `hidden beast` number, since 1 + 4 + 8 + 4 + 8 + 0 + 200 + 5 + 4 + 432 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14717320451856 + 130699602576 = 3836316^2 + 361524^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1357603 + ... + 5615970.

Almost surely, 214848020054432 is an apocalyptic number.

14848020054432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14848020054432 is an abundant number, since it is smaller than the sum of its proper divisors (27381754387332).

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

14848020054432 is a wasteful number, since it uses less digits than its factorization.

14848020054432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6980982 (or 6980971 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 14848020054432 in words is "fourteen trillion, eight hundred forty-eight billion, twenty million, fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7393 14786 22179 29572 44358 59144 66537 88716 118288 133074 177432 236576 266148 354864 532296 709728 1064592 2129184 6973573 13947146 20920719 27894292 41841438 55788584 62762157 83682876 111577168 125524314 167365752 223154336 251048628 334731504 502097256 669463008 1004194512 2008389024 51555625189 103111250378 154666875567 206222500756 309333751134 412445001512 464000626701 618667502268 824890003024 928001253402 1237335004536 1649780006048 1856002506804 2474670009072 3712005013608 4949340018144 7424010027216 14848020054432