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4444254430 = 257311611931
BaseRepresentation
bin1000010001110010…
…11111000011011110
3102110201122111221221
410020321133003132
533100212120210
62012555443554
7215063353000
oct41071370336
912421574857
104444254430
111980736150
12a404565ba
1355a989165
14302358370
151b027b1da
hex108e5f0de

4444254430 has 128 divisors (see below), whose sum is σ = 10349337600. Its totient is φ = 1361808000.

The previous prime is 4444254391. The next prime is 4444254433. The reversal of 4444254430 is 344524444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4444254433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2300565 + ... + 2302495.

It is an arithmetic number, because the mean of its divisors is an integer number (80854200).

Almost surely, 24444254430 is an apocalyptic number.

4444254430 is an abundant number, since it is smaller than the sum of its proper divisors (5905083170).

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

4444254430 is a wasteful number, since it uses less digits than its factorization.

4444254430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 34.

The square root of 4444254430 is about 66665.2415431010. The cubic root of 4444254430 is about 1644.1179517572.

Adding to 4444254430 its reverse (344524444), we get a palindrome (4788778874).

The spelling of 4444254430 in words is "four billion, four hundred forty-four million, two hundred fifty-four thousand, four hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 35 49 55 61 70 77 98 110 122 154 245 305 343 385 427 490 539 610 671 686 770 854 1078 1342 1715 1931 2135 2695 2989 3355 3430 3773 3862 4270 4697 5390 5978 6710 7546 9394 9655 13517 14945 18865 19310 20923 21241 23485 27034 29890 32879 37730 41846 42482 46970 65758 67585 94619 104615 106205 117791 135170 148687 164395 189238 209230 212410 230153 235582 297374 328790 460306 473095 588955 662333 743435 824537 946190 1040809 1150765 1177910 1295701 1324666 1486870 1649074 2081618 2301530 2591402 3311665 4122685 5204045 5771759 6478505 6623330 7285663 8245370 9069907 10408090 11543518 12957010 14571326 18139814 28858795 36428315 40402313 45349535 57717590 63489349 72856630 80804626 90699070 126978698 202011565 317446745 404023130 444425443 634893490 888850886 2222127215 4444254430