Search a number
-
+
4113333114 = 2311891136197
BaseRepresentation
bin1111010100101100…
…0111101101111010
3101121122221222020220
43311023013231322
531411003124424
61520055000510
7203634516552
oct36513075572
911548858226
104113333114
111820962060
12969669136
13507252c27
142b0416162
151911b0579
hexf52c7b7a

4113333114 has 64 divisors (see below), whose sum is σ = 9157173120. Its totient is φ = 1221355520.

The previous prime is 4113333097. The next prime is 4113333131.

4113333114 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4113333097) and next prime (4113333131).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 660664 + ... + 666860.

It is an arithmetic number, because the mean of its divisors is an integer number (143080830).

Almost surely, 24113333114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4113333114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4578586560).

4113333114 is an abundant number, since it is smaller than the sum of its proper divisors (5043840006).

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

4113333114 is a wasteful number, since it uses less digits than its factorization.

4113333114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6415.

The product of its digits is 1296, while the sum is 24.

The square root of 4113333114 is about 64135.2719959930. The cubic root of 4113333114 is about 1602.2537398054.

It can be divided in two parts, 41133 and 33114, that added together give a palindrome (74247).

The spelling of 4113333114 in words is "four billion, one hundred thirteen million, three hundred thirty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 89 113 178 226 267 339 534 678 979 1243 1958 2486 2937 3729 5874 6197 7458 10057 12394 18591 20114 30171 37182 60342 68167 110627 136334 204501 221254 331881 409002 551533 663762 700261 1103066 1400522 1654599 2100783 3309198 4201566 6066863 7702871 12133726 15405742 18200589 23108613 36401178 46217226 62323229 124646458 186969687 373939374 685555519 1371111038 2056666557 4113333114