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4441317036 = 22313611014621
BaseRepresentation
bin1000010001011100…
…10001111010101100
3102110112010021121120
410020232101322230
533043434121121
62012412500540
7215026400112
oct41056217254
912415107546
104441317036
11197a00a252
12a3b47a750
1355a19b160
14301bd1ab2
151aed9abc6
hex108b91eac

4441317036 has 96 divisors (see below), whose sum is σ = 11457974976. Its totient is φ = 1330560000.

The previous prime is 4441317011. The next prime is 4441317059. The reversal of 4441317036 is 6307131444.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4441316988 and 4441317006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 958806 + ... + 963426.

It is an arithmetic number, because the mean of its divisors is an integer number (119353906).

Almost surely, 24441317036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4441317036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5728987488).

4441317036 is an abundant number, since it is smaller than the sum of its proper divisors (7016657940).

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

4441317036 is a wasteful number, since it uses less digits than its factorization.

4441317036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4803 (or 4801 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 4441317036 is about 66643.2069756551. The cubic root of 4441317036 is about 1643.7556497736.

The spelling of 4441317036 in words is "four billion, four hundred forty-one million, three hundred seventeen thousand, thirty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 61 78 101 122 156 183 202 244 303 366 404 606 732 793 1212 1313 1586 2379 2626 3172 3939 4621 4758 5252 6161 7878 9242 9516 12322 13863 15756 18483 18484 24644 27726 36966 55452 60073 73932 80093 120146 160186 180219 240279 240292 281881 320372 360438 466721 480558 563762 720876 845643 933442 961116 1127524 1400163 1691286 1866884 2800326 3382572 3664453 5600652 6067373 7328906 10993359 12134746 14657812 18202119 21986718 24269492 28469981 36404238 43973436 56939962 72808476 85409943 113879924 170819886 341639772 370109753 740219506 1110329259 1480439012 2220658518 4441317036