Search a number
-
+
444505341234344 = 23138351495058067
BaseRepresentation
bin110010100010001100111011…
…0111101110000110010101000
32011021212021222111120100201012
41211010121312331300302220
5431230233414323444334
64213214533521443052
7162425310506434505
oct14504316675606250
92137767874510635
10444505341234344
111196a6724995195
1241a301434a0488
131610489b4c49b0
147baa25d7b24ac
15365c90d7e69ce
hex1944676f70ca8

444505341234344 has 32 divisors (see below), whose sum is σ = 908372824319520. Its totient is φ = 202684548547776.

The previous prime is 444505341234343. The next prime is 444505341234359. The reversal of 444505341234344 is 443432143505444.

It is a super-2 number, since 2×4445053412343442 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444505341234292 and 444505341234301.

It is not an unprimeable number, because it can be changed into a prime (444505341234341) 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, 25747520402 + ... + 25747537665.

It is an arithmetic number, because the mean of its divisors is an integer number (28386650759985).

Almost surely, 2444505341234344 is an apocalyptic number.

It is an amenable number.

444505341234344 is an abundant number, since it is smaller than the sum of its proper divisors (463867483085176).

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

444505341234344 is a wasteful number, since it uses less digits than its factorization.

444505341234344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51495058169 (or 51495058165 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 50.

Adding to 444505341234344 its reverse (443432143505444), we get a palindrome (887937484739788).

The spelling of 444505341234344 in words is "four hundred forty-four trillion, five hundred five billion, three hundred forty-one million, two hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 52 83 104 166 332 664 1079 2158 4316 8632 51495058067 102990116134 205980232268 411960464536 669435754871 1338871509742 2677743019484 4274089819561 5355486038968 8548179639122 17096359278244 34192718556488 55563167654293 111126335308586 222252670617172 444505341234344