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4444023340 = 2254379149439
BaseRepresentation
bin1000010001110001…
…00110101000101100
3102110201012202222001
410020320212220230
533100132221330
62012550502044
7215061401161
oct41070465054
912421182861
104444023340
111980598569
12a40364924
1355a907c13
143022d8068
151b02329ca
hex108e26a2c

4444023340 has 96 divisors (see below), whose sum is σ = 9757440000. Its totient is φ = 1698907392.

The previous prime is 4444023323. The next prime is 4444023347. The reversal of 4444023340 is 433204444.

It is a junction number, because it is equal to n+sod(n) for n = 4444023299 and 4444023308.

It is not an unprimeable number, because it can be changed into a prime (4444023347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10122841 + ... + 10123279.

It is an arithmetic number, because the mean of its divisors is an integer number (101640000).

Almost surely, 24444023340 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 4444023340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4878720000).

4444023340 is an abundant number, since it is smaller than the sum of its proper divisors (5313416660).

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

4444023340 is a wasteful number, since it uses less digits than its factorization.

4444023340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

The square root of 4444023340 is about 66663.5083085191. The cubic root of 4444023340 is about 1644.0894546036.

Adding to 4444023340 its reverse (433204444), we get a palindrome (4877227784).

The spelling of 4444023340 in words is "four billion, four hundred forty-four million, twenty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 43 79 86 149 158 172 215 298 316 395 430 439 596 745 790 860 878 1490 1580 1756 2195 2980 3397 4390 6407 6794 8780 11771 12814 13588 16985 18877 23542 25628 32035 33970 34681 37754 47084 58855 64070 65411 67940 69362 75508 94385 117710 128140 130822 138724 173405 188770 235420 261644 327055 346810 377540 506153 654110 693620 1012306 1308220 1491283 2024612 2530765 2812673 2982566 5061530 5167469 5625346 5965132 7456415 10123060 10334938 11250692 14063365 14912830 20669876 25837345 28126730 29825660 51674690 56253460 103349380 222201167 444402334 888804668 1111005835 2222011670 4444023340