Search a number
-
+
444733131907121 = 1534428128983641
BaseRepresentation
bin110010100011110111000000…
…0010110001110000000110001
32011022200001221121220111101112
41211013232000112032000301
5431243001423232011441
64213511325202243105
7162450623412263231
oct14507560026160061
92138601847814345
10444733131907121
1111978429787a152
1241a68316056495
1316120201260035
147bb72ac713cc1
1536637e19344eb
hex1947b8058e031

444733131907121 has 4 divisors (see below), whose sum is σ = 444733176235044. Its totient is φ = 444733087579200.

The previous prime is 444733131907111. The next prime is 444733131907189. The reversal of 444733131907121 is 121709131337444.

444733131907121 = 149119602 + 149119612.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 222366580865521 + 222366551041600 = 14911961^2 + 14911960^2 .

It is a cyclic number.

It is not a de Polignac number, because 444733131907121 - 226 = 444733064798257 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 444733131907121.

It is not an unprimeable number, because it can be changed into a prime (444733131907111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 852461 + ... + 29836101.

It is an arithmetic number, because the mean of its divisors is an integer number (111183294058761).

It is a Poulet number, since it divides 2444733131907120-1.

Almost surely, 2444733131907121 is an apocalyptic number.

444733131907121 is the 14911961-st centered square number.

It is an amenable number.

444733131907121 is a deficient number, since it is larger than the sum of its proper divisors (44327923).

444733131907121 is a wasteful number, since it uses less digits than its factorization.

444733131907121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44327922.

The product of its (nonzero) digits is 1524096, while the sum is 50.

The spelling of 444733131907121 in words is "four hundred forty-four trillion, seven hundred thirty-three billion, one hundred thirty-one million, nine hundred seven thousand, one hundred twenty-one".

Divisors: 1 15344281 28983641 444733131907121