Search a number
-
+
14914298134560 = 2535112824677677
BaseRepresentation
bin1101100100001000000101…
…1100010100000000100000
31221210210102002011112022010
43121002001130110000200
53423323440310301220
651415311201112520
73066344132306436
oct331020134240040
957723362145263
1014914298134560
114830133533610
12180a5a8328740
13842548a158b6
14397bda776d56
151ace4d7ee1e0
hexd9081714020

14914298134560 has 96 divisors (see below), whose sum is σ = 51250951789632. Its totient is φ = 3615587425280.

The previous prime is 14914298134531. The next prime is 14914298134573. The reversal of 14914298134560 is 6543189241941.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 14914298134560.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1412333559 + ... + 1412344118.

It is an arithmetic number, because the mean of its divisors is an integer number (533864081142).

Almost surely, 214914298134560 is an apocalyptic number.

14914298134560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14914298134560 is an abundant number, since it is smaller than the sum of its proper divisors (36336653655072).

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

14914298134560 is a wasteful number, since it uses less digits than its factorization.

14914298134560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824677706 (or 2824677698 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 14914298134560 in words is "fourteen trillion, nine hundred fourteen billion, two hundred ninety-eight million, one hundred thirty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 2824677677 5649355354 8474033031 11298710708 14123388385 16948066062 22597421416 28246776770 31071454447 33896132124 42370165155 45194842832 56493553540 62142908894 67792264248 84740330310 90389685664 93214363341 112987107080 124285817788 135584528496 155357272235 169480660620 186428726682 225974214160 248571635576 271169056992 310714544470 338961321240 372857453364 451948428320 466071816705 497143271152 621429088940 677922642480 745714906728 932143633410 994286542304 1242858177880 1355845284960 1491429813456 1864287266820 2485716355760 2982859626912 3728574533640 4971432711520 7457149067280 14914298134560