Search a number
-
+
442104484401244 = 22766123887210093
BaseRepresentation
bin110010010000101110111100…
…0101111110001000001011100
32010222100202221122212111201001
41210201131320233301001130
5430421414441001314434
64204135555111400044
7162056665156164640
oct14441357057610134
92128322848774631
10442104484401244
11118960505893685
1241702989383024
1315c8c373c60a72
147b25d8503cc20
15361a243abe114
hex1921778bf105c

442104484401244 has 24 divisors (see below), whose sum is σ = 885546652604768. Its totient is φ = 189186703928640.

The previous prime is 442104484401227. The next prime is 442104484401247.

442104484401244 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 442104484401194 and 442104484401203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442104484401247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11943586539 + ... + 11943623554.

Almost surely, 2442104484401244 is an apocalyptic number.

It is an amenable number.

442104484401244 is an abundant number, since it is smaller than the sum of its proper divisors (443442168203524).

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

442104484401244 is a wasteful number, since it uses less digits than its factorization.

442104484401244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23887210765 (or 23887210763 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 46.

The spelling of 442104484401244 in words is "four hundred forty-two trillion, one hundred four billion, four hundred eighty-four million, four hundred one thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 28 661 1322 2644 4627 9254 18508 23887210093 47774420186 95548840372 167210470651 334420941302 668841882604 15789445871473 31578891742946 63157783485892 110526121100311 221052242200622 442104484401244