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4400010040 = 2351743115013
BaseRepresentation
bin1000001100100001…
…01101001100111000
3102100122101200001211
410012100231030320
533002400310130
62004335252504
7214015316416
oct40620551470
912318350054
104400010040
111958766738
12a2967a134
1355176774a
142da51c2b6
151ab43ba2a
hex10642d338

4400010040 has 64 divisors (see below), whose sum is σ = 10507397760. Its totient is φ = 1652520960.

The previous prime is 4400010037. The next prime is 4400010047. The reversal of 4400010040 is 400100044.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4400010040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4400010047) 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 15 ways as a sum of consecutive naturals, for example, 285574 + ... + 300586.

It is an arithmetic number, because the mean of its divisors is an integer number (164178090).

Almost surely, 24400010040 is an apocalyptic number.

4400010040 is a gapful number since it is divisible by the number (40) 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 4400010040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5253698880).

4400010040 is an abundant number, since it is smaller than the sum of its proper divisors (6107387720).

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

4400010040 is a wasteful number, since it uses less digits than its factorization.

4400010040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15472 (or 15468 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 4400010040 is about 66332.5714864123. The cubic root of 4400010040 is about 1638.6437875618.

Adding to 4400010040 its reverse (400100044), we get a palindrome (4800110084).

The spelling of 4400010040 in words is "four billion, four hundred million, ten thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 431 680 862 1724 2155 3448 4310 7327 8620 14654 15013 17240 29308 30026 36635 58616 60052 73270 75065 120104 146540 150130 255221 293080 300260 510442 600520 1020884 1276105 2041768 2552210 5104420 6470603 10208840 12941206 25882412 32353015 51764824 64706030 110000251 129412060 220000502 258824120 440001004 550001255 880002008 1100002510 2200005020 4400010040