Search a number
-
+
442312403242122 = 232719184758731513
BaseRepresentation
bin110010010010001111110000…
…1101011001100110010001010
32011000002122121212211222201100
41210210133201223030302022
5430433321300212221442
64204415302442002230
7162111005454160410
oct14444374153146212
92130078555758640
10442312403242122
11118a3070062a176
1241737134aa6376
1315ca5b5aa481aa
147b3206aadd2b0
15362086235b84c
hex19247e1accc8a

442312403242122 has 48 divisors (see below), whose sum is σ = 1152894484647360. Its totient is φ = 119723658019776.

The previous prime is 442312403242079. The next prime is 442312403242123. The reversal of 442312403242122 is 221242304213244.

442312403242122 is a `hidden beast` number, since 4 + 4 + 2 + 3 + 1 + 2 + 403 + 242 + 1 + 2 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (442312403242123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92379363363 + ... + 92379368150.

It is an arithmetic number, because the mean of its divisors is an integer number (24018635096820).

Almost surely, 2442312403242122 is an apocalyptic number.

442312403242122 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

442312403242122 is an abundant number, since it is smaller than the sum of its proper divisors (710582081405238).

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

442312403242122 is a wasteful number, since it uses less digits than its factorization.

442312403242122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184758731547 (or 184758731544 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 442312403242122 its reverse (221242304213244), we get a palindrome (663554707455366).

The spelling of 442312403242122 in words is "four hundred forty-two trillion, three hundred twelve billion, four hundred three million, two hundred forty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 2394 184758731513 369517463026 554276194539 1108552389078 1293311120591 1662828583617 2586622241182 3325657167234 3510415898747 3879933361773 7020831797494 7759866723546 10531247696241 11639800085319 21062495392482 23279600170638 24572911291229 31593743088723 49145822582458 63187486177446 73718733873687 147437467747374 221156201621061 442312403242122