Search a number
-
+
4212442341 = 34232372657
BaseRepresentation
bin1111101100010100…
…1100010011100101
3101212120110020120000
43323011030103211
532111341123331
61533555131513
7206250112002
oct37305142345
911776406500
104212442341
1118718a5308
129968a3b99
13521944143
142bd6548a9
15199c3b0e6
hexfb14c4e5

4212442341 has 60 divisors (see below), whose sum is σ = 6758480652. Its totient is φ = 2612611584.

The previous prime is 4212442337. The next prime is 4212442391. The reversal of 4212442341 is 1432442124.

4212442341 is a `hidden beast` number, since 4 + 212 + 442 + 3 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3311542116 + 900900225 = 57546^2 + 30015^2 .

It is not a de Polignac number, because 4212442341 - 22 = 4212442337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4212442331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1584085 + ... + 1586741.

Almost surely, 24212442341 is an apocalyptic number.

It is an amenable number.

4212442341 is a deficient number, since it is larger than the sum of its proper divisors (2546038311).

4212442341 is a wasteful number, since it uses less digits than its factorization.

4212442341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752 (or 2720 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 4212442341 is about 64903.3307388766. The cubic root of 4212442341 is about 1615.0203157320.

Adding to 4212442341 its reverse (1432442124), we get a palindrome (5644884465).

The spelling of 4212442341 in words is "four billion, two hundred twelve million, four hundred forty-two thousand, three hundred forty-one".

Divisors: 1 3 9 23 27 37 69 81 111 207 333 529 621 851 999 1587 1863 2553 2657 2997 4761 7659 7971 14283 19573 22977 23913 42849 58719 61111 68931 71739 98309 176157 183333 215217 294927 528471 549999 884781 1405553 1585413 1649997 2261107 2654343 4216659 4949991 6783321 7963029 12649977 20349963 37949931 52005461 61049889 113849793 156016383 183149667 468049149 1404147447 4212442341