Search a number
-
+
444214434131 = 131131399921601
BaseRepresentation
bin1100111011011010011…
…11100101100101010011
31120110121001211100021022
412131231033211211103
524234222343343011
6540022544550055
744044022250536
oct6355517454523
91513531740238
10444214434131
11161432516156
127211262232b
1332b738814c0
1417700382a1d
15b84d3b18db
hex676d3e5953

444214434131 has 16 divisors (see below), whose sum is σ = 482675088000. Its totient is φ = 406367539200.

The previous prime is 444214434119. The next prime is 444214434143. The reversal of 444214434131 is 131434412444.

It is an interprime number because it is at equal distance from previous prime (444214434119) and next prime (444214434143).

It is a cyclic number.

It is not a de Polignac number, because 444214434131 - 222 = 444210239827 is a prime.

It is a super-2 number, since 2×4442144341312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 444214434091 and 444214434100.

It is not an unprimeable number, because it can be changed into a prime (444214434431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20553731 + ... + 20575331.

It is an arithmetic number, because the mean of its divisors is an integer number (30167193000).

Almost surely, 2444214434131 is an apocalyptic number.

444214434131 is a deficient number, since it is larger than the sum of its proper divisors (38460653869).

444214434131 is a wasteful number, since it uses less digits than its factorization.

444214434131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35726.

The product of its digits is 73728, while the sum is 35.

Adding to 444214434131 its reverse (131434412444), we get a palindrome (575648846575).

The spelling of 444214434131 in words is "four hundred forty-four billion, two hundred fourteen million, four hundred thirty-four thousand, one hundred thirty-one".

Divisors: 1 13 113 1469 13999 21601 181987 280813 1581887 2440913 20564531 31731869 302392399 3931101187 34170341087 444214434131