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444044888848 = 241110164738609
BaseRepresentation
bin1100111011000110010…
…00110100101100010000
31120110011020210112212101
412131203020310230100
524233400442420343
6535554051010144
744036563164451
oct6354310645420
91513136715771
10444044888848
11161355844290
1272085899954
1332b476cb152
14176c5a4b128
15b83d570e4d
hex6763234b10

444044888848 has 80 divisors (see below), whose sum is σ = 949331560320. Its totient is φ = 199526144000.

The previous prime is 444044888839. The next prime is 444044888857. The reversal of 444044888848 is 848888440444.

It is an interprime number because it is at equal distance from previous prime (444044888839) and next prime (444044888857).

It is a self number, because there is not a number n which added to its sum of digits gives 444044888848.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11481768 + ... + 11520376.

It is an arithmetic number, because the mean of its divisors is an integer number (11866644504).

Almost surely, 2444044888848 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 444044888848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474665780160).

444044888848 is an abundant number, since it is smaller than the sum of its proper divisors (505286671472).

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

444044888848 is a wasteful number, since it uses less digits than its factorization.

444044888848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39376 (or 39370 counting only the distinct ones).

The product of its (nonzero) digits is 134217728, while the sum is 64.

The spelling of 444044888848 in words is "four hundred forty-four billion, forty-four million, eight hundred eighty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 101 176 202 404 647 808 1111 1294 1616 2222 2588 4444 5176 7117 8888 10352 14234 17776 28468 38609 56936 65347 77218 113872 130694 154436 261388 308872 424699 522776 617744 718817 849398 1045552 1437634 1698796 2875268 3397592 3899509 5750536 6795184 7799018 11501072 15598036 24980023 31196072 42894599 49960046 62392144 85789198 99920092 171578396 199840184 274780253 343156792 399680368 549560506 686313584 1099121012 2198242024 2522982323 4396484048 5045964646 10091929292 20183858584 27752805553 40367717168 55505611106 111011222212 222022444424 444044888848