Search a number
-
+
444223442430 = 2355733249397
BaseRepresentation
bin1100111011011011100…
…01111100110111111110
31120110121200210000100000
412131231301330313332
524234232200124210
6540023510015130
744044161650025
oct6355561746776
91513550700300
10444223442430
11161437609229
12721156474a6
1332b756b6861
14177016498bc
15b84e090ac0
hex676dc7cdfe

444223442430 has 96 divisors (see below), whose sum is σ = 1199396880864. Its totient is φ = 118297501056.

The previous prime is 444223442323. The next prime is 444223442441. The reversal of 444223442430 is 34244322444.

444223442430 is a `hidden beast` number, since 4 + 4 + 4 + 223 + 4 + 424 + 3 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1656492 + ... + 1905888.

It is an arithmetic number, because the mean of its divisors is an integer number (12493717509).

Almost surely, 2444223442430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444223442430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599698440432).

444223442430 is an abundant number, since it is smaller than the sum of its proper divisors (755173438434).

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

444223442430 is a wasteful number, since it uses less digits than its factorization.

444223442430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250152 (or 250140 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 444223442430 its reverse (34244322444), we get a palindrome (478467764874).

The spelling of 444223442430 in words is "four hundred forty-four billion, two hundred twenty-three million, four hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 733 810 1215 1466 2199 2430 3665 4398 6597 7330 10995 13194 19791 21990 32985 39582 59373 65970 98955 118746 178119 197910 249397 296865 356238 498794 593730 748191 890595 1246985 1496382 1781190 2244573 2493970 3740955 4489146 6733719 7481910 11222865 13467438 20201157 22445730 33668595 40402314 60603471 67337190 101005785 121206942 182808001 202011570 303017355 365616002 548424003 606034710 914040005 1096848006 1645272009 1828080010 2742120015 3290544018 4935816027 5484240030 8226360045 9871632054 14807448081 16452720090 24679080135 29614896162 44422344243 49358160270 74037240405 88844688486 148074480810 222111721215 444223442430