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4444404175112 = 2311411739717333
BaseRepresentation
bin100000010101100101100…
…1000011101000100001000
3120201212210011112212220012
41000223023020131010020
51040304114432100422
613241421525451052
7636045323112446
oct100531310350410
916655704485805
104444404175112
111463952322a50
125b9431b70a88
1326314aa817b5
14115178993b96
157a920d4b4e2
hex40acb21d108

4444404175112 has 128 divisors (see below), whose sum is σ = 9377308725120. Its totient is φ = 1957233408000.

The previous prime is 4444404175039. The next prime is 4444404175117. The reversal of 4444404175112 is 2115714044444.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a self number, because there is not a number n which added to its sum of digits gives 4444404175112.

It is not an unprimeable number, because it can be changed into a prime (4444404175117) 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, 606078998 + ... + 606086330.

It is an arithmetic number, because the mean of its divisors is an integer number (73260224415).

Almost surely, 24444404175112 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 4444404175112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4688654362560).

4444404175112 is an abundant number, since it is smaller than the sum of its proper divisors (4932904550008).

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

4444404175112 is a wasteful number, since it uses less digits than its factorization.

4444404175112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8535 (or 8531 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 41.

The spelling of 4444404175112 in words is "four trillion, four hundred forty-four billion, four hundred four million, one hundred seventy-five thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 41 44 82 88 164 173 328 346 451 692 902 971 1384 1804 1903 1942 3608 3806 3884 7093 7333 7612 7768 10681 14186 14666 15224 21362 28372 29332 39811 42724 56744 58664 78023 79622 80663 85448 156046 159244 161326 167983 300653 312092 318488 322652 335966 437921 601306 624184 645304 671932 875842 1202612 1268609 1343864 1751684 1847813 2405224 2537218 3307183 3503368 3695626 5074436 6614366 6887303 7120343 7391252 10148872 13228732 13774606 13954699 14240686 14782504 26457464 27549212 27909398 28481372 52012969 55098424 55818796 56962744 75760333 78323773 104025938 111637592 151520666 156647546 208051876 291934063 303041332 313295092 416103752 572142659 583868126 606082664 626590184 1144285318 1167736252 1231819339 2288570636 2335472504 2463638678 3211274693 4577141272 4927277356 6422549386 9854554712 12845098772 13550012729 25690197544 27100025458 50504592899 54200050916 101009185798 108400101832 202018371596 404036743192 555550521889 1111101043778 2222202087556 4444404175112