Search a number
-
+
104314231011014 = 21741592648947881
BaseRepresentation
bin10111101101111110001100…
…101011110011011011000110
3111200100100021010002112001222
4113231332030223303123012
5102133041021114323024
61005505143545520342
730654311613523043
oct2755761453633306
9450310233075058
10104314231011014
1130268464a37272
12b848968aa30b2
134628a361a364b
141ba8b9b3021ca
15c0d6bc49e85e
hex5edf8caf36c6

104314231011014 has 64 divisors (see below), whose sum is σ = 172603080014400. Its totient is φ = 47077270732800.

The previous prime is 104314231011013. The next prime is 104314231011047. The reversal of 104314231011014 is 410110132413401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104314231011013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2178590354 + ... + 2178638234.

It is an arithmetic number, because the mean of its divisors is an integer number (2696923125225).

Almost surely, 2104314231011014 is an apocalyptic number.

104314231011014 is a deficient number, since it is larger than the sum of its proper divisors (68288849003386).

104314231011014 is a wasteful number, since it uses less digits than its factorization.

104314231011014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74489.

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 104314231011014 its reverse (410110132413401), we get a palindrome (514424363424415).

The spelling of 104314231011014 in words is "one hundred four trillion, three hundred fourteen billion, two hundred thirty-one million, eleven thousand, fourteen".

Divisors: 1 2 17 34 41 59 82 118 697 1003 1394 2006 2419 4838 26489 41123 47881 52978 82246 95762 450313 813977 900626 1086049 1562851 1627954 1963121 2172098 2824979 3125702 3926242 5649958 18462833 26568467 33373057 36925666 48024643 53136934 64076891 66746114 96049286 115824139 128153782 231648278 1089307147 1268319809 1969010363 2178614294 2536639618 3938020726 21561436753 43122873506 52001112169 74830868731 104002224338 149661737462 884018906873 1272124768427 1768037813746 2544249536854 3068065617971 6136131235942 52157115505507 104314231011014