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4443663444 = 22311374312111
BaseRepresentation
bin1000010001101110…
…01110110001010100
3102110200112111021120
410020313032301110
533100034212234
62012535043540
7215055342003
oct41067166124
912420474246
104443663444
111980372130
12a402105b0
1355a81016c
14302242c3a
151b01b1049
hex108dcec54

4443663444 has 96 divisors (see below), whose sum is σ = 11649318912. Its totient is φ = 1306512000.

The previous prime is 4443663443. The next prime is 4443663493.

4443663444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44436634442 = 39492289607083882272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4443663396 and 4443663405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4443663443) 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, 2103949 + ... + 2106059.

It is an arithmetic number, because the mean of its divisors is an integer number (121347072).

Almost surely, 24443663444 is an apocalyptic number.

4443663444 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 4443663444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5824659456).

4443663444 is an abundant number, since it is smaller than the sum of its proper divisors (7205655468).

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

4443663444 is a wasteful number, since it uses less digits than its factorization.

4443663444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2597 (or 2595 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 42.

The square root of 4443663444 is about 66660.8089059831. The cubic root of 4443663444 is about 1644.0450716090.

It can be divided in two parts, 44436 and 63444, that added together give a triangular number (107880 = T464).

The spelling of 4443663444 in words is "four billion, four hundred forty-three million, six hundred sixty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 431 444 814 862 1221 1293 1628 1724 2111 2442 2586 4222 4741 4884 5172 6333 8444 9482 12666 14223 15947 18964 23221 25332 28446 31894 46442 47841 56892 63788 69663 78107 92884 95682 139326 156214 175417 191364 234321 278652 312428 350834 468642 526251 701668 859177 909841 937284 1052502 1718354 1819682 2105004 2577531 2729523 3436708 3639364 5155062 5459046 10008251 10310124 10918092 20016502 30024753 33664117 40033004 60049506 67328234 100992351 120099012 134656468 201984702 370305287 403969404 740610574 1110915861 1481221148 2221831722 4443663444