Search a number
-
+
442004441431 = 72231017727823
BaseRepresentation
bin1100110111010011000…
…01001000100101010111
31120020220001100002012211
412123221201020211113
524220211114111211
6535015401054251
743635165522250
oct6335141104527
91506801302184
10442004441431
111604a8a90a03
12717b6487387
13328b0a61707
1417570a63b27
15b76e36de21
hex66e9848957

442004441431 has 16 divisors (see below), whose sum is σ = 507481268224. Its totient is φ = 377111407104.

The previous prime is 442004441423. The next prime is 442004441441. The reversal of 442004441431 is 134144400244.

It is a cyclic number.

It is not a de Polignac number, because 442004441431 - 23 = 442004441423 is a prime.

It is a super-2 number, since 2×4420044414312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442004441393 and 442004441402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442004441401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15872386 + ... + 15900208.

It is an arithmetic number, because the mean of its divisors is an integer number (31717579264).

Almost surely, 2442004441431 is an apocalyptic number.

442004441431 is a deficient number, since it is larger than the sum of its proper divisors (65476826793).

442004441431 is a wasteful number, since it uses less digits than its factorization.

442004441431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38230.

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 442004441431 its reverse (134144400244), we get a palindrome (576148841675).

The spelling of 442004441431 in words is "four hundred forty-two billion, four million, four hundred forty-one thousand, four hundred thirty-one".

Divisors: 1 7 223 1561 10177 27823 71239 194761 2269471 6204529 15886297 43431703 283154671 1982082697 63143491633 442004441431