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4440106044 = 2234117871583
BaseRepresentation
bin1000010001010011…
…01010010000111100
3102110102211202110000
410020221222100330
533043131343134
62012330514300
7215013164403
oct41051522074
912412752400
104440106044
111979362430
12a3ab95990
13559b65baa
1430199863a
151aec0be99
hex108a6a43c

4440106044 has 120 divisors (see below), whose sum is σ = 12686623488. Its totient is φ = 1342928160.

The previous prime is 4440106043. The next prime is 4440106049. The reversal of 4440106044 is 4406010444.

4440106044 is a `hidden beast` number, since 4 + 4 + 40 + 10 + 604 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4440105999 and 4440106017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4440106043) 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 39 ways as a sum of consecutive naturals, for example, 2804077 + ... + 2805659.

Almost surely, 24440106044 is an apocalyptic number.

4440106044 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 4440106044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6343311744).

4440106044 is an abundant number, since it is smaller than the sum of its proper divisors (8246517444).

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

4440106044 is a wasteful number, since it uses less digits than its factorization.

4440106044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4440106044 is about 66634.1207190430. The cubic root of 4440106044 is about 1643.6062379457.

Adding to 4440106044 its reverse (4406010444), we get a palindrome (8846116488).

It can be divided in two parts, 444010 and 6044, that added together give a palindrome (450054).

The spelling of 4440106044 in words is "four billion, four hundred forty million, one hundred six thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 787 891 1188 1574 1583 1782 2361 3148 3166 3564 4722 4749 6332 7083 8657 9444 9498 14166 14247 17314 17413 18996 21249 25971 28332 28494 34628 34826 42498 42741 51942 52239 56988 63747 69652 77913 84996 85482 103884 104478 127494 128223 155826 156717 170964 208956 233739 254988 256446 311652 313434 467478 470151 512892 626868 701217 934956 940302 1245821 1402434 1410453 1880604 2491642 2804868 2820906 3737463 4983284 5641812 7474926 11212389 13704031 14949852 22424778 27408062 33637167 41112093 44849556 54816124 67274334 82224186 100911501 123336279 134548668 164448372 201823002 246672558 370008837 403646004 493345116 740017674 1110026511 1480035348 2220053022 4440106044