Search a number
-
+
444202013112 = 23311131031256597
BaseRepresentation
bin1100111011011001000…
…00001101000110111000
31120110120012110021211120
412131230200031012320
524234211203404422
6540021422425240
744043511545624
oct6355440150670
91513505407746
10444202013112
11161426502050
127210a432220
1332b711229a0
14176dc86c184
15b84c25b45c
hex676c80d1b8

444202013112 has 128 divisors (see below), whose sum is σ = 1317316815360. Its totient is φ = 123045880320.

The previous prime is 444202013053. The next prime is 444202013117. The reversal of 444202013112 is 211310202444.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444202013117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274803 + ... + 981794.

It is an arithmetic number, because the mean of its divisors is an integer number (10291537620).

Almost surely, 2444202013112 is an apocalyptic number.

It is an amenable number.

444202013112 is an abundant number, since it is smaller than the sum of its proper divisors (873114802248).

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

444202013112 is a wasteful number, since it uses less digits than its factorization.

444202013112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256733 (or 1256729 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 444202013112 its reverse (211310202444), we get a palindrome (655512215556).

The spelling of 444202013112 in words is "four hundred forty-four billion, two hundred two million, thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 103 104 132 143 156 206 264 286 309 312 412 429 572 618 824 858 1133 1144 1236 1339 1716 2266 2472 2678 3399 3432 4017 4532 5356 6798 8034 9064 10712 13596 14729 16068 27192 29458 32136 44187 58916 88374 117832 176748 353496 1256597 2513194 3769791 5026388 7539582 10052776 13822567 15079164 16335761 27645134 30158328 32671522 41467701 49007283 55290268 65343044 82935402 98014566 110580536 129429491 130686088 165870804 179693371 196029132 258858982 331741608 359386742 388288473 392058264 517717964 539080113 718773484 776576946 1035435928 1078160226 1423724401 1437546968 1553153892 1682583383 2156320452 2847448802 3106307784 3365166766 4271173203 4312640904 5047750149 5694897604 6730333532 8542346406 10095500298 11389795208 13460667064 17084692812 18508417213 20191000596 34169385624 37016834426 40382001192 55525251639 74033668852 111050503278 148067337704 222101006556 444202013112