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242202042240 = 2735295973727
BaseRepresentation
bin1110000110010001011…
…1011101111110000000
3212011011110212120001220
43201210113131332000
512432012210322430
6303133250155040
723332664251014
oct3414427357600
9764143776056
10242202042240
1193798814164
123ab34b82a80
1319abb6697c2
14ba18cdc544
15647842d110
hex38645ddf80

242202042240 has 256 divisors, whose sum is σ = 812187648000. Its totient is φ = 61302284288.

The previous prime is 242202042239. The next prime is 242202042283. The reversal of 242202042240 is 42240202242.

242202042240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 242202042240.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3248257 + ... + 3321983.

It is an arithmetic number, because the mean of its divisors is an integer number (3172608000).

Almost surely, 2242202042240 is an apocalyptic number.

242202042240 is a gapful number since it is divisible by the number (20) 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 242202042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406093824000).

242202042240 is an abundant number, since it is smaller than the sum of its proper divisors (569985605760).

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

242202042240 is a wasteful number, since it uses less digits than its factorization.

242202042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73837 (or 73825 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 242202042240 its reverse (42240202242), we get a palindrome (284442244482).

The spelling of 242202042240 in words is "two hundred forty-two billion, two hundred two million, forty-two thousand, two hundred forty".