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444399680725 = 5271113131135559
BaseRepresentation
bin1100111011110000100…
…10001111110011010101
31120111001222101211211021
412131320102033303111
524240112304240400
6540053203241141
744051431650220
oct6357022176325
91514058354737
10444399680725
11161518041710
12721646791b1
1332ba3071480
141771ac045b7
15b85e7a471a
hex677848fcd5

444399680725 has 96 divisors (see below), whose sum is σ = 745532282880. Its totient is φ = 253764576000.

The previous prime is 444399680717. The next prime is 444399680729. The reversal of 444399680725 is 527086993444.

It is a happy number.

It is not a de Polignac number, because 444399680725 - 23 = 444399680717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444399680729) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3210496 + ... + 3346054.

It is an arithmetic number, because the mean of its divisors is an integer number (7765961280).

Almost surely, 2444399680725 is an apocalyptic number.

It is an amenable number.

444399680725 is a deficient number, since it is larger than the sum of its proper divisors (301132602155).

444399680725 is a wasteful number, since it uses less digits than its factorization.

444399680725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135731 (or 135726 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 61.

The spelling of 444399680725 in words is "four hundred forty-four billion, three hundred ninety-nine million, six hundred eighty thousand, seven hundred twenty-five".

Divisors: 1 5 7 11 13 25 35 55 65 77 91 131 143 175 275 325 385 455 655 715 917 1001 1441 1703 1925 2275 3275 3575 4585 5005 7205 8515 10087 11921 18733 22925 25025 36025 42575 50435 59605 93665 131131 135559 252175 298025 468325 655655 677795 948913 1491149 1762267 3278275 3388975 4744565 7455745 8811335 10438043 12335869 17758229 19384937 23722825 37278725 44056675 52190215 61679345 88791145 96924685 124307603 135694559 195340519 230856977 260951075 308396725 443955725 484623425 621538015 678472795 976702595 1154284885 1367383633 1615998839 2539426747 3107690075 3392363975 4883512975 5771424425 6836918165 8079994195 12697133735 17775987229 34184590825 40399970975 63485668675 88879936145 444399680725