Search a number
-
+
442278813525133 = 13226311743847373
BaseRepresentation
bin110010010010000000000111…
…1100100100110010010001101
32010222222102220221212120101011
41210210000033210212102031
5430432244002230301013
64204352025413445221
7162105406205245354
oct14444001744462215
92128872827776334
10442278813525133
11118a18434060692
124173071b940811
1315ca2936a63600
147b305a1a2099b
15361ea48502c3d
hex192400f92648d

442278813525133 has 24 divisors (see below), whose sum is σ = 480779779087872. Its totient is φ = 406669943204928.

The previous prime is 442278813525097. The next prime is 442278813525137. The reversal of 442278813525133 is 331525318872244.

It is not a de Polignac number, because 442278813525133 - 237 = 442141374571661 is a prime.

It is a super-2 number, since 2×4422788135251332 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442278813525137) 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 23 ways as a sum of consecutive naturals, for example, 521517435 + ... + 522364807.

It is an arithmetic number, because the mean of its divisors is an integer number (20032490795328).

Almost surely, 2442278813525133 is an apocalyptic number.

It is an amenable number.

442278813525133 is a deficient number, since it is larger than the sum of its proper divisors (38500965562739).

442278813525133 is a wasteful number, since it uses less digits than its factorization.

442278813525133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859405 (or 859392 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 58.

The spelling of 442278813525133 in words is "four hundred forty-two trillion, two hundred seventy-eight billion, eight hundred thirteen million, five hundred twenty-five thousand, one hundred thirty-three".

Divisors: 1 13 169 263 3419 11743 44447 152659 847373 1984567 3088409 11015849 40149317 143206037 222859099 521941121 2897168287 9950701139 37663187731 129359114807 1681668492491 2617034399557 34021447194241 442278813525133