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4433113344 = 28311539901
BaseRepresentation
bin1000010000011101…
…11111000100000000
3102102221200111021010
410020032333010000
533034334111334
62011521000520
7214566561462
oct41016770400
912387614233
104433113344
111975416740
12a38783140
135585880ba
14300a98132
151ae2ca0e9
hex1083bf100

4433113344 has 144 divisors (see below), whose sum is σ = 13115317824. Its totient is φ = 1317888000.

The previous prime is 4433113339. The next prime is 4433113369.

4433113344 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442794 + ... + 452694.

It is an arithmetic number, because the mean of its divisors is an integer number (91078596).

Almost surely, 24433113344 is an apocalyptic number.

4433113344 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 4433113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6557658912).

4433113344 is an abundant number, since it is smaller than the sum of its proper divisors (8682204480).

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

4433113344 is a wasteful number, since it uses less digits than its factorization.

4433113344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9984 (or 9970 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

The square root of 4433113344 is about 66581.6291780248. The cubic root of 4433113344 is about 1642.7429489416.

It can be divided in two parts, 44331 and 13344, that added together give a palindrome (57675).

The spelling of 4433113344 in words is "four billion, four hundred thirty-three million, one hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 64 66 88 96 106 128 132 159 176 192 212 256 264 318 352 384 424 528 583 636 704 768 848 1056 1166 1272 1408 1696 1749 2112 2332 2544 2816 3392 3498 4224 4664 5088 6784 6996 8448 9328 9901 10176 13568 13992 18656 19802 20352 27984 29703 37312 39604 40704 55968 59406 74624 79208 108911 111936 118812 149248 158416 217822 223872 237624 316832 326733 435644 447744 475248 524753 633664 653466 871288 950496 1049506 1267328 1306932 1574259 1742576 1900992 2099012 2534656 2613864 3148518 3485152 3801984 4198024 5227728 5772283 6297036 6970304 7603968 8396048 10455456 11544566 12594072 13940608 16792096 17316849 20910912 23089132 25188144 27881216 33584192 34633698 41821824 46178264 50376288 67168384 69267396 83643648 92356528 100752576 134336768 138534792 184713056 201505152 277069584 369426112 403010304 554139168 738852224 1108278336 1477704448 2216556672 4433113344