Search a number
-
+
14243344310142 = 2332931293398927
BaseRepresentation
bin1100111101000100100101…
…1110100101111101111110
31212102122120011011201211000
43033101021132211331332
53331330332120411032
650143145124111130
73000022231016523
oct317211136457576
955378504151730
1014243344310142
1145a16285a3602
1217205572354a6
137c41ac1502cc
1437354ad4d14a
1519a77e760e7c
hexcf4497a5f7e

14243344310142 has 64 divisors (see below), whose sum is σ = 33799556505600. Its totient is φ = 4436191761120.

The previous prime is 14243344310137. The next prime is 14243344310147. The reversal of 14243344310142 is 24101344334241.

14243344310142 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 334 + 4 + 310 + 1 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (14243344310137) and next prime (14243344310147).

It is a junction number, because it is equal to n+sod(n) for n = 14243344310097 and 14243344310106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14243344310147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146650918 + ... + 146748009.

It is an arithmetic number, because the mean of its divisors is an integer number (528118070400).

Almost surely, 214243344310142 is an apocalyptic number.

14243344310142 is an abundant number, since it is smaller than the sum of its proper divisors (19556212195458).

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

14243344310142 is a wasteful number, since it uses less digits than its factorization.

14243344310142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293398998 (or 293398992 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 14243344310142 its reverse (24101344334241), we get a palindrome (38344688644383).

The spelling of 14243344310142 in words is "fourteen trillion, two hundred forty-three billion, three hundred forty-four million, three hundred ten thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 31 54 58 62 87 93 174 186 261 279 522 558 783 837 899 1566 1674 1798 2697 5394 8091 16182 24273 48546 293398927 586797854 880196781 1760393562 2640590343 5281180686 7921771029 8508568883 9095366737 15843542058 17017137766 18190733474 25525706649 27286100211 51051413298 54572200422 76577119947 81858300633 153154239894 163716601266 229731359841 245574901899 263765635373 459462719682 491149803798 527531270746 791296906119 1582593812238 2373890718357 4747781436714 7121672155071 14243344310142