Search a number
-
+
4102233040 = 24594154493
BaseRepresentation
bin1111010010000011…
…0001101111010000
3101120220002000211001
43310200301233100
531400132424130
61515021031344
7203441256043
oct36440615720
911526060731
104102233040
111815670444
129659b5554
13504b67739
142acb66c5a
1519021b6ca
hexf4831bd0

4102233040 has 40 divisors (see below), whose sum is σ = 9548002728. Its totient is φ = 1639119360.

The previous prime is 4102233017. The next prime is 4102233041. The reversal of 4102233040 is 403322014.

It can be written as a sum of positive squares in 4 ways, for example, as 251285904 + 3850947136 = 15852^2 + 62056^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 4102232999 and 4102233017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102233041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48034 + ... + 102526.

Almost surely, 24102233040 is an apocalyptic number.

4102233040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4102233040 is an abundant number, since it is smaller than the sum of its proper divisors (5445769688).

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

4102233040 is a wasteful number, since it uses less digits than its factorization.

4102233040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55447 (or 55441 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 4102233040 is about 64048.6771135829. The cubic root of 4102233040 is about 1600.8111824199.

Adding to 4102233040 its reverse (403322014), we get a palindrome (4505555054).

The spelling of 4102233040 in words is "four billion, one hundred two million, two hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 941 1882 3764 4705 7528 9410 15056 18820 37640 54493 75280 108986 217972 272465 435944 544930 871888 1089860 2179720 4359440 51277913 102555826 205111652 256389565 410223304 512779130 820446608 1025558260 2051116520 4102233040