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242042000440 = 2358372904217
BaseRepresentation
bin1110000101101011010…
…0111101010000111000
3212010202022201120222211
43201122310331100320
512431200223003230
6303105332024504
723326012025602
oct3413264752070
9763668646884
10242042000440
1193716443409
123aaab462134
1319a94463006
14ba0195c172
15646936842a
hex385ad3d438

242042000440 has 32 divisors (see below), whose sum is σ = 551155888080. Its totient is φ = 95650331392.

The previous prime is 242042000437. The next prime is 242042000449. The reversal of 242042000440 is 44000240242.

242042000440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242042000449) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 36448789 + ... + 36455428.

Almost surely, 2242042000440 is an apocalyptic number.

242042000440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242042000440 is an abundant number, since it is smaller than the sum of its proper divisors (309113887640).

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

242042000440 is a wasteful number, since it uses less digits than its factorization.

242042000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72904311 (or 72904307 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 242042000440 its reverse (44000240242), we get a palindrome (286042240682).

The spelling of 242042000440 in words is "two hundred forty-two billion, forty-two million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 83 166 332 415 664 830 1660 3320 72904217 145808434 291616868 364521085 583233736 729042170 1458084340 2916168680 6051050011 12102100022 24204200044 30255250055 48408400088 60510500110 121021000220 242042000440