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444402102012 = 22311101325310247
BaseRepresentation
bin1100111011110000110…
…11011110111011111100
31120111002010221212012120
412131320123132323330
524240113414231022
6540053331202540
744051461353321
oct6357033367374
91514063855176
10444402102012
11161519445880
1272165446450
1332ba370b59b
141771b274b48
15b85ead1d5c
hex67786deefc

444402102012 has 96 divisors (see below), whose sum is σ = 1142868109824. Its totient is φ = 133279968000.

The previous prime is 444402101881. The next prime is 444402102037. The reversal of 444402102012 is 210201204444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43363873 + ... + 43374119.

It is an arithmetic number, because the mean of its divisors is an integer number (11904876144).

Almost surely, 2444402102012 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 444402102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571434054912).

444402102012 is an abundant number, since it is smaller than the sum of its proper divisors (698466007812).

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

444402102012 is a wasteful number, since it uses less digits than its factorization.

444402102012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13619 (or 13617 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 444402102012 its reverse (210201204444), we get a palindrome (654603306456).

The spelling of 444402102012 in words is "four hundred forty-four billion, four hundred two million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2222 3253 3333 4444 6506 6666 9759 10247 13012 13332 19518 20494 30741 35783 39036 40988 61482 71566 107349 112717 122964 143132 214698 225434 328553 338151 429396 450868 657106 676302 985659 1034947 1314212 1352604 1971318 2069894 3104841 3614083 3942636 4139788 6209682 7228166 10842249 11384417 12419364 14456332 21684498 22768834 33333491 34153251 43368996 45537668 66666982 68306502 100000473 133333964 136613004 200000946 366668401 400001892 733336802 1100005203 1466673604 2200010406 3366682591 4400020812 6733365182 10100047773 13466730364 20200095546 37033508501 40400191092 74067017002 111100525503 148134034004 222201051006 444402102012