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444023112 = 2331341103337
BaseRepresentation
bin11010011101110…
…100000101001000
31010221111201012110
4122131310011020
51402132214422
6112020542320
714001064011
oct3235640510
91127451173
10444023112
11208704155
121048519a0
1370cb6390
1442d84008
1528eac60c
hex1a774148

444023112 has 128 divisors (see below), whose sum is σ = 1240162560. Its totient is φ = 131604480.

The previous prime is 444023093. The next prime is 444023159. The reversal of 444023112 is 211320444.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1317408 + ... + 1317744.

It is an arithmetic number, because the mean of its divisors is an integer number (9688770).

Almost surely, 2444023112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444023112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620081280).

444023112 is an abundant number, since it is smaller than the sum of its proper divisors (796139448).

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

444023112 is a wasteful number, since it uses less digits than its factorization.

444023112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 444023112 is about 21071.8559220587. The cubic root of 444023112 is about 762.9015994997.

Adding to 444023112 its reverse (211320444), we get a palindrome (655343556).

The spelling of 444023112 in words is "four hundred forty-four million, twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 103 104 123 156 164 206 246 309 312 328 337 412 492 533 618 674 824 984 1011 1066 1236 1339 1348 1599 2022 2132 2472 2678 2696 3198 4017 4044 4223 4264 4381 5356 6396 8034 8088 8446 8762 10712 12669 12792 13143 13817 16068 16892 17524 25338 26286 27634 32136 33784 34711 35048 41451 50676 52572 54899 55268 69422 82902 101352 104133 105144 109798 110536 138844 164697 165804 179621 208266 219596 277688 329394 331608 359242 416532 439192 451243 538863 658788 718484 833064 902486 1077726 1317576 1353729 1423151 1436968 1804972 2155452 2707458 2846302 3609944 4269453 4310904 5414916 5692604 8538906 10829832 11385208 17077812 18500963 34155624 37001926 55502889 74003852 111005778 148007704 222011556 444023112