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4444340022 = 2331747103007
BaseRepresentation
bin1000010001110011…
…10011111100110110
3102110201210212101000
410020321303330312
533100222340042
62013001344130
7215064160353
oct41071637466
912421725330
104444340022
111980794491
12a40498046
1355a9b90c5
1430237b62a
151b029674c
hex108e73f36

4444340022 has 64 divisors (see below), whose sum is σ = 10679869440. Its totient is φ = 1364623488.

The previous prime is 4444340003. The next prime is 4444340029. The reversal of 4444340022 is 2200434444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4444340029) 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, 8358 + ... + 94649.

It is an arithmetic number, because the mean of its divisors is an integer number (166872960).

Almost surely, 24444340022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4444340022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5339934720).

4444340022 is an abundant number, since it is smaller than the sum of its proper divisors (6235529418).

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

4444340022 is a wasteful number, since it uses less digits than its factorization.

4444340022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103082 (or 103076 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 4444340022 is about 66665.8834937331. The cubic root of 4444340022 is about 1644.1285063915.

Adding to 4444340022 its reverse (2200434444), we get a palindrome (6644774466).

The spelling of 4444340022 in words is "four billion, four hundred forty-four million, three hundred forty thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 47 51 54 94 102 141 153 282 306 423 459 799 846 918 1269 1598 2397 2538 4794 7191 14382 21573 43146 103007 206014 309021 618042 927063 1751119 1854126 2781189 3502238 4841329 5253357 5562378 9682658 10506714 14523987 15760071 29047974 31520142 43571961 47280213 82302593 87143922 94560426 130715883 164605186 246907779 261431766 493815558 740723337 1481446674 2222170011 4444340022