Search a number
-
+
42444121404133 = 3531040891155149
BaseRepresentation
bin10011010011010010010101…
…10001110111001011100101
312120021121200210112210101101
421221221022301313023211
521030401030034413013
6230134321000200101
711640325616150101
oct1151511261671345
9176247623483341
1042444121404133
11125844a6020209
124915b56469031
131a8b60433a197
14a6a440c12901
154d9107d318dd
hex269a4ac772e5

42444121404133 has 8 divisors (see below), whose sum is σ = 42564805479000. Its totient is φ = 42323439848448.

The previous prime is 42444121404131. The next prime is 42444121404137. The reversal of 42444121404133 is 33140412144424.

It can be written as a sum of positive squares in 4 ways, for example, as 15717878718084 + 26726242686049 = 3964578^2 + 5169743^2 .

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 42444121404133 - 21 = 42444121404131 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42444121404092 and 42444121404101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42444121404131) 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, 36165843 + ... + 37320991.

It is an arithmetic number, because the mean of its divisors is an integer number (5320600684875).

Almost surely, 242444121404133 is an apocalyptic number.

It is an amenable number.

42444121404133 is a deficient number, since it is larger than the sum of its proper divisors (120684074867).

42444121404133 is a wasteful number, since it uses less digits than its factorization.

42444121404133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259591.

The product of its (nonzero) digits is 147456, while the sum is 37.

Adding to 42444121404133 its reverse (33140412144424), we get a palindrome (75584533548557).

The spelling of 42444121404133 in words is "forty-two trillion, four hundred forty-four billion, one hundred twenty-one million, four hundred four thousand, one hundred thirty-three".

Divisors: 1 353 104089 1155149 36743417 407767597 120238304261 42444121404133