Search a number
-
+
424001312232 = 23389601330287
BaseRepresentation
bin1100010101110000111…
…00101001010111101000
31111112102101021100201220
412022320130221113220
523421323313442412
6522441123342040
742430101455151
oct6127034512750
91445371240656
10424001312232
111538aa761533
126a211221920
1330ca1ca6a44
1416743a60928
15b068a9868c
hex62b87295e8

424001312232 has 64 divisors (see below), whose sum is σ = 1073700230400. Its totient is φ = 139512806400.

The previous prime is 424001312191. The next prime is 424001312233. The reversal of 424001312232 is 232213100424.

It is a happy number.

It is a super-2 number, since 2×4240013122322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (424001312233) 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 15 ways as a sum of consecutive naturals, for example, 1118593 + ... + 1448879.

It is an arithmetic number, because the mean of its divisors is an integer number (16776566100).

Almost surely, 2424001312232 is an apocalyptic number.

It is an amenable number.

424001312232 is an abundant number, since it is smaller than the sum of its proper divisors (649698918168).

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

424001312232 is a wasteful number, since it uses less digits than its factorization.

424001312232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330986 (or 330982 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 424001312232 its reverse (232213100424), we get a palindrome (656214412656).

The spelling of 424001312232 in words is "four hundred twenty-four billion, one million, three hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 89 178 267 356 534 601 712 1068 1202 1803 2136 2404 3606 4808 7212 14424 53489 106978 160467 213956 320934 330287 427912 641868 660574 990861 1283736 1321148 1981722 2642296 3963444 7926888 29395543 58791086 88186629 117582172 176373258 198502487 235164344 352746516 397004974 595507461 705493032 794009948 1191014922 1588019896 2382029844 4764059688 17666721343 35333442686 53000164029 70666885372 106000328058 141333770744 212000656116 424001312232