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444023203410100 = 225217479954425947
BaseRepresentation
bin110010011110101100011010…
…1010011111011000010110100
32011020011012111111012012011201
41210331120311103323002310
5431144334010033110400
64212205235454542244
7162345421623521236
oct14475306523730264
92136135444165151
10444023203410100
11119530201733816
1241972808507984
131609b292b7c5b2
147b90ba2980256
1536500e0de506a
hex193d6354fb0b4

444023203410100 has 72 divisors (see below), whose sum is σ = 1020421213862400. Its totient is φ = 167126840901120.

The previous prime is 444023203410097. The next prime is 444023203410173. The reversal of 444023203410100 is 1014302320444.

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, 19054674 + ... + 35371273.

It is an arithmetic number, because the mean of its divisors is an integer number (14172516859200).

Almost surely, 2444023203410100 is an apocalyptic number.

It is an amenable number.

444023203410100 is an abundant number, since it is smaller than the sum of its proper divisors (576398010452300).

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

444023203410100 is a wasteful number, since it uses less digits than its factorization.

444023203410100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54430777 (or 54430770 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 444023203410100 its reverse (1014302320444), we get a palindrome (445037505730544).

The spelling of 444023203410100 in words is "four hundred forty-four trillion, twenty-three billion, two hundred three million, four hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 4799 9598 19196 23995 47990 81583 95980 119975 163166 239950 326332 407915 479900 815830 1631660 2039575 4079150 8158300 54425947 108851894 217703788 272129735 544259470 925241099 1088518940 1360648675 1850482198 2721297350 3700964396 4626205495 5442594700 9252410990 18504821980 23131027475 46262054950 92524109900 261190119653 522380239306 1044760478612 1305950598265 2611901196530 4440232034101 5223802393060 6529752991325 8880464068202 13059505982650 17760928136404 22201160170505 26119011965300 44402320341010 88804640682020 111005800852525 222011601705050 444023203410100