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422400314241 = 3315644456083
BaseRepresentation
bin1100010010110010000…
…01010100101110000001
31111101021210201020101000
412021121001110232001
523410033440023431
6522014212402213
742342321300423
oct6113101245601
91441253636330
10422400314241
11153158a68aa4
1269a45016369
1330aa83b1959
141663118a813
15aec324d9e6
hex6259054b81

422400314241 has 8 divisors (see below), whose sum is σ = 625778243360. Its totient is φ = 281600209476.

The previous prime is 422400314207. The next prime is 422400314257. The reversal of 422400314241 is 142413004224.

422400314241 is a `hidden beast` number, since 4 + 2 + 2 + 400 + 3 + 14 + 241 = 666.

It is not a de Polignac number, because 422400314241 - 237 = 284961360769 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 15644456083 = 422400314241 / (4 + 2 + 2 + 4 + 0 + 0 + 3 + 1 + 4 + 2 + 4 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (422400313241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7822228015 + ... + 7822228068.

It is an arithmetic number, because the mean of its divisors is an integer number (78222280420).

Almost surely, 2422400314241 is an apocalyptic number.

It is an amenable number.

422400314241 is a deficient number, since it is larger than the sum of its proper divisors (203377929119).

422400314241 is a wasteful number, since it uses less digits than its factorization.

422400314241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15644456092 (or 15644456086 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 422400314241 its reverse (142413004224), we get a palindrome (564813318465).

The spelling of 422400314241 in words is "four hundred twenty-two billion, four hundred million, three hundred fourteen thousand, two hundred forty-one".

Divisors: 1 3 9 27 15644456083 46933368249 140800104747 422400314241