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444024132141310 = 25729225439702839
BaseRepresentation
bin110010011110101100110110…
…0101010110000000011111110
32011020011021220012202121212221
41210331121230222300003332
5431144342410312010220
64212205511552515554
7162345453631562350
oct14475315452600376
92136137805677787
10444024132141310
111195306389aa276
1241972a2754bbba
131609b3b03c55a6
147b90c500590d0
1536501476e99aa
hex193d66cab00fe

444024132141310 has 64 divisors (see below), whose sum is σ = 944960363827200. Its totient is φ = 146980763459712.

The previous prime is 444024132141307. The next prime is 444024132141319. The reversal of 444024132141310 is 13141231420444.

It is a super-2 number, since 2×4440241321413102 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444024132141319) 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, 40910871 + ... + 50613709.

It is an arithmetic number, because the mean of its divisors is an integer number (14765005684800).

Almost surely, 2444024132141310 is an apocalyptic number.

444024132141310 is an abundant number, since it is smaller than the sum of its proper divisors (500936231685890).

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

444024132141310 is a wasteful number, since it uses less digits than its factorization.

444024132141310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9725425.

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 444024132141310 its reverse (13141231420444), we get a palindrome (457165363561754).

The spelling of 444024132141310 in words is "four hundred forty-four trillion, twenty-four billion, one hundred thirty-two million, one hundred forty-one thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 29 35 58 70 145 203 290 406 1015 2030 22543 45086 112715 157801 225430 315602 653747 789005 1307494 1578010 3268735 4576229 6537470 9152458 9702839 19405678 22881145 45762290 48514195 67919873 97028390 135839746 281382331 339599365 562764662 679198730 1406911655 1969676317 2813823310 3939352634 9848381585 19696763170 218731099577 437462199154 1093655497885 1531117697039 2187310995770 3062235394078 6343201887733 7655588485195 12686403775466 15311176970390 31716009438665 44402413214131 63432018877330 88804826428262 222012066070655 444024132141310