Search a number
-
+
144622226441 = 7211318655349
BaseRepresentation
bin1000011010110000101…
…0000000110000001001
3111211021222020022102002
42012230022000300021
54332141242221231
6150234420120345
713306605433100
oct2065412006011
9454258208362
10144622226441
11563745272a0
12240418360b5
131083a391c24
146ddd473037
153b669050cb
hex21ac280c09

144622226441 has 24 divisors (see below), whose sum is σ = 189448300800. Its totient is φ = 109057384800.

The previous prime is 144622226423. The next prime is 144622226461.

144622226441 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-144622226441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144622226395 and 144622226404.

It is not an unprimeable number, because it can be changed into a prime (144622226461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4310966 + ... + 4344383.

It is an arithmetic number, because the mean of its divisors is an integer number (7893679200).

Almost surely, 2144622226441 is an apocalyptic number.

144622226441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144622226441 is a deficient number, since it is larger than the sum of its proper divisors (44826074359).

144622226441 is a wasteful number, since it uses less digits than its factorization.

144622226441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8655405 (or 8655398 counting only the distinct ones).

The product of its digits is 147456, while the sum is 38.

The spelling of 144622226441 in words is "one hundred forty-four billion, six hundred twenty-two million, two hundred twenty-six thousand, four hundred forty-one".

Divisors: 1 7 11 31 49 77 217 341 539 1519 2387 16709 8655349 60587443 95208839 268315819 424112101 666461873 1878210733 2951474009 4665233111 13147475131 20660318063 144622226441