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4440035412 = 223435338821
BaseRepresentation
bin1000010001010010…
…11001000001010100
3102110102201011120000
410020221121001110
533043122113122
62012325211300
7215012451441
oct41051310124
912412634500
104440035412
11197931435a
12a3ab60b30
13559b3c9b7
1430197a9c8
151aebe60ac
hex108a59054

4440035412 has 60 divisors (see below), whose sum is σ = 11640310836. Its totient is φ = 1475781120.

The previous prime is 4440035399. The next prime is 4440035507. The reversal of 4440035412 is 2145300444.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2261573136 + 2178462276 = 47556^2 + 46674^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 94962 + ... + 133782.

Almost surely, 24440035412 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 4440035412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5820155418).

4440035412 is an abundant number, since it is smaller than the sum of its proper divisors (7200275424).

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

4440035412 is a wasteful number, since it uses less digits than its factorization.

4440035412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39190 (or 39179 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4440035412 is about 66633.5907181956. The cubic root of 4440035412 is about 1643.5975225524.

Adding to 4440035412 its reverse (2145300444), we get a palindrome (6585335856).

The spelling of 4440035412 in words is "four billion, four hundred forty million, thirty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 353 706 1059 1412 2118 3177 4236 6354 9531 12708 19062 28593 38124 38821 57186 77642 114372 116463 155284 232926 349389 465852 698778 1048167 1397556 2096334 3144501 4192668 6289002 12578004 13703813 27407626 41111439 54815252 82222878 123334317 164445756 246668634 370002951 493337268 740005902 1110008853 1480011804 2220017706 4440035412