Search a number
-
+
444406121310 = 23514813537377
BaseRepresentation
bin1100111011110001010…
…10110100001101011110
31120111002102112001122110
412131320222310031132
524240120431340220
6540053553254450
744051540463354
oct6357052641536
91514072461573
10444406121310
11161520740608
1272166864426
1332ba44b7b78
141771b9dd7d4
15b860127be0
hex6778ab435e

444406121310 has 16 divisors (see below), whose sum is σ = 1066574691216. Its totient is φ = 118508299008.

The previous prime is 444406121309. The next prime is 444406121329. The reversal of 444406121310 is 13121604444.

It is a super-2 number, since 2×4444061213102 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 14813537377 = 444406121310 / (4 + 4 + 4 + 4 + 0 + 6 + 1 + 2 + 1 + 3 + 1 + 0).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7406768659 + ... + 7406768718.

It is an arithmetic number, because the mean of its divisors is an integer number (66660918201).

Almost surely, 2444406121310 is an apocalyptic number.

444406121310 is an abundant number, since it is smaller than the sum of its proper divisors (622168569906).

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

444406121310 is a wasteful number, since it uses less digits than its factorization.

444406121310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14813537387.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 444406121310 its reverse (13121604444), we get a palindrome (457527725754).

The spelling of 444406121310 in words is "four hundred forty-four billion, four hundred six million, one hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 14813537377 29627074754 44440612131 74067686885 88881224262 148135373770 222203060655 444406121310