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4443113444 = 22711191136719
BaseRepresentation
bin1000010001101010…
…01000011111100100
3102110122111112211012
410020311020133210
533044414112234
62012515201352
7215050561340
oct41065103744
912418445735
104443113444
111980026990
12a3bba6258
1355a679a13
1430213c620
151b01030ce
hex108d487e4

4443113444 has 96 divisors (see below), whose sum is σ = 10296115200. Its totient is φ = 1625218560.

The previous prime is 4443113443. The next prime is 4443113459.

4443113444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44431134442 = 39482514152507082272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4443113444.

It is not an unprimeable number, because it can be changed into a prime (4443113443) 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, 657917 + ... + 664635.

It is an arithmetic number, because the mean of its divisors is an integer number (107251200).

Almost surely, 24443113444 is an apocalyptic number.

4443113444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4443113444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5148057600).

4443113444 is an abundant number, since it is smaller than the sum of its proper divisors (5853001756).

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

4443113444 is a wasteful number, since it uses less digits than its factorization.

4443113444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6873 (or 6871 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

The square root of 4443113444 is about 66656.6834158436. The cubic root of 4443113444 is about 1643.9772400320.

It can be divided in two parts, 44431 and 13444, that added together give a palindrome (57875).

The spelling of 4443113444 in words is "four billion, four hundred forty-three million, one hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 113 133 154 209 226 266 308 418 452 532 791 836 1243 1463 1582 2147 2486 2926 3164 4294 4972 5852 6719 8588 8701 13438 15029 17402 23617 26876 30058 34804 47033 47234 60116 73909 94066 94468 127661 147818 165319 188132 255322 295636 330638 510644 517363 661276 759247 893627 1034726 1404271 1518494 1787254 2069452 2808542 3036988 3574508 5314729 5617084 8351717 9829897 10629458 14425693 16703434 19659794 21258916 28851386 33406868 39319588 57702772 58462019 100979851 116924038 158682623 201959702 233848076 317365246 403919404 634730492 1110778361 2221556722 4443113444