Search a number
-
+
14313101586 = 2372197421587
BaseRepresentation
bin11010101010010000…
…01001100100010010
31100221111121220012120
431111020021210102
5213303123222321
610324135235110
71014456233100
oct152510114422
940844556176
1014313101586
116085411083
122935518a96
1314714461a4
1499acdac70
1558b87dec6
hex355209912

14313101586 has 96 divisors (see below), whose sum is σ = 33605554752. Its totient is φ = 4052119680.

The previous prime is 14313101563. The next prime is 14313101587. The reversal of 14313101586 is 68510131341.

It is a super-2 number, since 2×143131015862 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14313101587) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 24383185 + ... + 24383771.

It is an arithmetic number, because the mean of its divisors is an integer number (350057862).

Almost surely, 214313101586 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14313101586, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16802777376).

14313101586 is an abundant number, since it is smaller than the sum of its proper divisors (19292453166).

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

14313101586 is a wasteful number, since it uses less digits than its factorization.

14313101586 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 14313101586 in words is "fourteen billion, three hundred thirteen million, one hundred one thousand, five hundred eighty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 197 294 394 421 587 591 842 1174 1182 1263 1379 1761 2526 2758 2947 3522 4109 4137 5894 8218 8274 8841 9653 12327 17682 19306 20629 24654 28763 28959 41258 57526 57918 61887 82937 86289 115639 123774 165874 172578 231278 247127 248811 346917 494254 497622 580559 693834 741381 809473 1161118 1482762 1618946 1729889 1741677 2428419 3459778 3483354 4063913 4856838 5189667 5666311 8127826 10379334 11332622 12109223 12191739 16998933 24218446 24383478 33997866 36327669 48684019 72655338 97368038 146052057 292104114 340788133 681576266 1022364399 2044728798 2385516931 4771033862 7156550793 14313101586