Search a number
-
+
444242041332131 = 7217533303771107
BaseRepresentation
bin110010100000010010010100…
…1000100010110000110100011
32011020221010100200100110122002
41211000210221010112012203
5431211430200040112011
64212453550523034215
7162400266626255600
oct14500445104260643
92136833320313562
10444242041332131
11119604a9aa69619
12419a910096b96b
13160b5ac9b9b9a3
147b9b6028896a7
153655b4d08ac3b
hex19409291161a3

444242041332131 has 12 divisors (see below), whose sum is σ = 547169669156808. Its totient is φ = 358380134183232.

The previous prime is 444242041332031. The next prime is 444242041332179. The reversal of 444242041332131 is 131233140242444.

It is not a de Polignac number, because 444242041332131 - 230 = 444240967590307 is a prime.

It is a super-2 number, since 2×4442420413321312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444242041332031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 266651884721 + ... + 266651886386.

It is an arithmetic number, because the mean of its divisors is an integer number (45597472429734).

Almost surely, 2444242041332131 is an apocalyptic number.

444242041332131 is a deficient number, since it is larger than the sum of its proper divisors (102927627824677).

444242041332131 is a wasteful number, since it uses less digits than its factorization.

444242041332131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533303771138 (or 533303771131 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 38.

Adding to 444242041332131 its reverse (131233140242444), we get a palindrome (575475181574575).

The spelling of 444242041332131 in words is "four hundred forty-four trillion, two hundred forty-two billion, forty-one million, three hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 7 17 49 119 833 533303771107 3733126397749 9066164108819 26131884784243 63463148761733 444242041332131