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444884488444 = 2211192224312487
BaseRepresentation
bin1100111100101010010…
…11101001000011111100
31120112022202122121222201
412132111023221003330
524242110412112234
6540213242321244
744066436520624
oct6362513510374
91515282577881
10444884488444
11161746771950
127227aab9224
1332c4c637546
1417765363884
15b88c11b314
hex67952e90fc

444884488444 has 72 divisors (see below), whose sum is σ = 896850396288. Its totient is φ = 191476306080.

The previous prime is 444884488429. The next prime is 444884488483.

444884488444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4448844884442 (a number of 24 digits) contains 22 as substring.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35621569 + ... + 35634055.

It is an arithmetic number, because the mean of its divisors is an integer number (12456255504).

Almost surely, 2444884488444 is an apocalyptic number.

444884488444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444884488444 is an abundant number, since it is smaller than the sum of its proper divisors (451965907844).

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

444884488444 is a wasteful number, since it uses less digits than its factorization.

444884488444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14783 (or 14762 counting only the distinct ones).

The product of its digits is 268435456, while the sum is 64.

The spelling of 444884488444 in words is "four hundred forty-four billion, eight hundred eighty-four million, four hundred eighty-eight thousand, four hundred forty-four".

Divisors: 1 2 4 11 19 22 38 44 76 209 361 418 722 836 1444 2243 3971 4486 7942 8972 12487 15884 24673 24974 42617 49346 49948 85234 98692 137357 170468 237253 274714 468787 474506 549428 809723 937574 949012 1619446 1875148 2609783 3238892 4507807 5219566 8906953 9015614 10439132 17813906 18031228 28008341 35627812 49585877 56016682 99171754 112033364 198343508 308091751 532158479 616183502 1064316958 1232367004 2128633916 5853743269 10111011101 11707486538 20222022202 23414973076 40444044404 111221122111 222442244222 444884488444