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5040303383844 = 22323741772
BaseRepresentation
bin100100101011000100101…
…1111100010010100100100
3122211211220102001011022100
41021112021133202110210
51130040020131240334
614415252225532100
71030102262605011
oct111261137422444
918754812034270
105040303383844
111673642950353
12694a174a4030
132a73b5c5a8a1
14135d48368708
158b19ab84c99
hex495897e2524

5040303383844 has 27 divisors (see below), whose sum is σ = 12740800937137. Its totient is φ = 1680096637824.

The previous prime is 5040303383833. The next prime is 5040303383879. The reversal of 5040303383844 is 4483833030405.

The square root of 5040303383844 is 2245062.

It is a perfect power (a square), and thus also a powerful number.

5040303383844 is a `hidden beast` number, since 504 + 0 + 30 + 3 + 38 + 3 + 84 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4245866302500 + 794437081344 = 2060550^2 + 891312^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5040303383844.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13283284 + ... + 13657460.

Almost surely, 25040303383844 is an apocalyptic number.

5040303383844 is the 2245062-nd square number.

It is an amenable number.

5040303383844 is an abundant number, since it is smaller than the sum of its proper divisors (7700497553293).

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

5040303383844 is an frugal number, since it uses more digits than its factorization.

5040303383844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748364 (or 374182 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 5040303383844 in words is "five trillion, forty billion, three hundred three million, three hundred eighty-three thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 374177 748354 1122531 1496708 2245062 3367593 4490124 6735186 13470372 140008427329 280016854658 420025281987 560033709316 840050563974 1260075845961 1680101127948 2520151691922 5040303383844