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242444010300 = 22352853947417
BaseRepresentation
bin1110000111001011001…
…0100000001100111100
3212011210100011210211220
43201302302200030330
512433011131312200
6303213252313340
723341663041162
oct3416262401474
9764710153756
10242444010300
1193902361368
123aba2012850
1319b2982937b
14ba3d0c7232
15648e7c74a0
hex3872ca033c

242444010300 has 72 divisors (see below), whose sum is σ = 702294435696. Its totient is φ = 64575874560.

The previous prime is 242444010283. The next prime is 242444010331. The reversal of 242444010300 is 3010444242.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217809 + ... + 729608.

Almost surely, 2242444010300 is an apocalyptic number.

242444010300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242444010300 is an abundant number, since it is smaller than the sum of its proper divisors (459850425396).

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

242444010300 is a wasteful number, since it uses less digits than its factorization.

242444010300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948287 (or 948280 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 242444010300 its reverse (3010444242), we get a palindrome (245454454542).

The spelling of 242444010300 in words is "two hundred forty-two billion, four hundred forty-four million, ten thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 853 1706 2559 3412 4265 5118 8530 10236 12795 17060 21325 25590 42650 51180 63975 85300 127950 255900 947417 1894834 2842251 3789668 4737085 5684502 9474170 11369004 14211255 18948340 23685425 28422510 47370850 56845020 71056275 94741700 142112550 284225100 808146701 1616293402 2424440103 3232586804 4040733505 4848880206 8081467010 9697760412 12122200515 16162934020 20203667525 24244401030 40407335050 48488802060 60611002575 80814670100 121222005150 242444010300