Search a number
-
+
144616616441 = 119710710911621
BaseRepresentation
bin1000011010101111010…
…0100111000111111001
3111211021120200021221022
42012223310213013321
54332133323211231
6150234055552225
713306506646313
oct2065364470771
9454246607838
10144616616441
1156371345430
122403b98b675
13108391795bb
146ddc8127b3
153b66197c7b
hex21abd271f9

144616616441 has 32 divisors (see below), whose sum is σ = 162369567360. Its totient is φ = 127704729600.

The previous prime is 144616616401. The next prime is 144616616453.

144616616441 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 144616616441 - 210 = 144616615417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144616616392 and 144616616401.

It is not an unprimeable number, because it can be changed into a prime (144616616401) 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, 12438611 + ... + 12450231.

It is an arithmetic number, because the mean of its divisors is an integer number (5074048980).

Almost surely, 2144616616441 is an apocalyptic number.

144616616441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144616616441 is a deficient number, since it is larger than the sum of its proper divisors (17752950919).

144616616441 is a wasteful number, since it uses less digits than its factorization.

144616616441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11945.

The product of its digits is 331776, while the sum is 44.

The spelling of 144616616441 in words is "one hundred forty-four billion, six hundred sixteen million, six hundred sixteen thousand, four hundred forty-one".

Divisors: 1 11 97 107 109 1067 1177 1199 10379 10573 11621 11663 114169 116303 127831 128293 1127237 1131311 1243447 1266689 12399607 12444421 13677917 13933579 120614359 122868833 135535723 1326757949 1351557163 1490892953 13146965131 144616616441