Search a number
-
+
144244437463074 = 231313146730228479
BaseRepresentation
bin100000110011000010000110…
…011101001011000000100010
3200220201122002212010221111110
4200303002012131023000202
5122401300101442304244
61230440551344124150
742245213425326144
oct4063020635130042
9626648085127443
10144244437463074
1141a627a4559803
1214217656306656
136264266029740
14278967a386c94
1511a21dec8b9b9
hex83308674b022

144244437463074 has 64 divisors (see below), whose sum is σ = 313722289520640. Its totient is φ = 43949788733760.

The previous prime is 144244437463033. The next prime is 144244437463079. The reversal of 144244437463074 is 470364734442441.

It is a super-2 number, since 2×1442444374630742 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144244437463079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10342434 + ... + 19886045.

It is an arithmetic number, because the mean of its divisors is an integer number (4901910773760).

Almost surely, 2144244437463074 is an apocalyptic number.

144244437463074 is an abundant number, since it is smaller than the sum of its proper divisors (169477852057566).

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

144244437463074 is a wasteful number, since it uses less digits than its factorization.

144244437463074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30229095.

The product of its (nonzero) digits is 86704128, while the sum is 57.

The spelling of 144244437463074 in words is "one hundred forty-four trillion, two hundred forty-four billion, four hundred thirty-seven million, four hundred sixty-three thousand, seventy-four".

Divisors: 1 2 3 6 13 26 39 78 131 262 393 467 786 934 1401 1703 2802 3406 5109 6071 10218 12142 18213 36426 61177 122354 183531 367062 795301 1590602 2385903 4771806 30228479 60456958 90685437 181370874 392970227 785940454 1178910681 2357821362 3959930749 7919861498 11879792247 14116699693 23759584494 28233399386 42350099079 51479099737 84700198158 102958199474 154437299211 183517096009 308874598422 367034192018 550551288027 1101102576054 1849287659783 3698575319566 5547862979349 11095725958698 24040739577179 48081479154358 72122218731537 144244437463074