Search a number
-
+
4122444261 = 3132341197569
BaseRepresentation
bin1111010110110111…
…1000000111100101
3101122022002212101210
43311231320013211
531420321204021
61521022142033
7204105124635
oct36555700745
911568085353
104122444261
111826015431
12970721919
135090c3040
142b17086c5
15191daee76
hexf5b781e5

4122444261 has 64 divisors (see below), whose sum is σ = 6370721280. Its totient is φ = 2351247360.

The previous prime is 4122444253. The next prime is 4122444289. The reversal of 4122444261 is 1624442214.

It is not a de Polignac number, because 4122444261 - 23 = 4122444253 is a prime.

It is a super-2 number, since 2×41224442612 = 33989093370103672242, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4122444241) 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 63 ways as a sum of consecutive naturals, for example, 7244785 + ... + 7245353.

It is an arithmetic number, because the mean of its divisors is an integer number (99542520).

Almost surely, 24122444261 is an apocalyptic number.

4122444261 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4122444261 is a deficient number, since it is larger than the sum of its proper divisors (2248277019).

4122444261 is a wasteful number, since it uses less digits than its factorization.

4122444261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846.

The product of its digits is 12288, while the sum is 30.

The square root of 4122444261 is about 64206.2634094214. The cubic root of 4122444261 is about 1603.4358795768.

Adding to 4122444261 its reverse (1624442214), we get a palindrome (5746886475).

The spelling of 4122444261 in words is "four billion, one hundred twenty-two million, four hundred forty-four thousand, two hundred sixty-one".

Divisors: 1 3 13 23 39 41 69 123 197 299 533 569 591 897 943 1599 1707 2561 2829 4531 7397 7683 8077 12259 13087 13593 22191 23329 24231 36777 39261 58903 69987 105001 112093 170131 176709 185771 303277 315003 336279 510393 536567 557313 909831 1457209 1609701 2415023 2578139 4371627 4595813 6975371 7245069 7734417 13787439 20926113 33515807 59745569 100547421 105703699 179236707 317111097 1374148087 4122444261