Search a number
-
+
14377413563536 = 24892106512
BaseRepresentation
bin1101000100111000000010…
…1000001101010010010000
31212220110121200010110200111
43101032000220031102100
53341024420333013121
650324520445331104
73012506465614432
oct321160050152220
955813550113614
1014377413563536
114643477157a71
121742532866a94
13803a270b328a
14379c28a38652
1519dec99792e1
hexd1380a0d490

14377413563536 has 45 divisors (see below), whose sum is σ = 28175392312473. Its totient is φ = 7107267446400.

The previous prime is 14377413563519. The next prime is 14377413563563. The reversal of 14377413563536 is 63536531477341.

The square root of 14377413563536 is 3791756.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2760768341136 + 11616645222400 = 1661556^2 + 3408320^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1349859811 + ... + 1349870461.

Almost surely, 214377413563536 is an apocalyptic number.

14377413563536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14377413563536 is the 3791756-th square number.

It is an amenable number.

14377413563536 is a deficient number, since it is larger than the sum of its proper divisors (13797978748937).

14377413563536 is an frugal number, since it uses more digits than its factorization.

14377413563536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21488 (or 10742 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 58.

The spelling of 14377413563536 in words is "fourteen trillion, three hundred seventy-seven billion, four hundred thirteen million, five hundred sixty-three thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 89 178 356 712 1424 7921 10651 15842 21302 31684 42604 63368 85208 126736 170416 947939 1895878 3791756 7583512 15167024 84366571 113443801 168733142 226887602 337466284 453775204 674932568 907550408 1349865136 1815100816 10096498289 20192996578 40385993156 80771986312 161543972624 898588347721 1797176695442 3594353390884 7188706781768 14377413563536