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242400763363 = 1133765390009
BaseRepresentation
bin1110000111000000110…
…1100001110111100011
3212011200022210122012111
43201300031201313203
512432414043411423
6303205105340151
723340626330623
oct3416015416743
9764608718174
10242400763363
119388aa032a0
123ab8b637657
1319b20896975
14ba3746a883
15648aad360d
hex3870361de3

242400763363 has 8 divisors (see below), whose sum is σ = 265221880560. Its totient is φ = 219710426880.

The previous prime is 242400763357. The next prime is 242400763391. The reversal of 242400763363 is 363367004242.

It is a happy number.

242400763363 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 242400763363 - 213 = 242400755171 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242400763313) 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, 32691298 + ... + 32698711.

It is an arithmetic number, because the mean of its divisors is an integer number (33152735070).

Almost surely, 2242400763363 is an apocalyptic number.

242400763363 is a deficient number, since it is larger than the sum of its proper divisors (22821117197).

242400763363 is a wasteful number, since it uses less digits than its factorization.

242400763363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65390357.

The product of its (nonzero) digits is 435456, while the sum is 40.

The spelling of 242400763363 in words is "two hundred forty-two billion, four hundred million, seven hundred sixty-three thousand, three hundred sixty-three".

Divisors: 1 11 337 3707 65390009 719290099 22036433033 242400763363