Search a number
-
+
1014234041313 = 322322273219983
BaseRepresentation
bin11101100001001010000…
…11110100101111100001
310120221220201021122101100
432300211003310233201
5113104122403310223
62053533243225013
7133163444051523
oct16604503645741
93527821248340
101014234041313
113611527478a9
12144694b18169
13748462202ac
1437136a43a13
151b5b11ca043
hexec250f4be1

1014234041313 has 24 divisors (see below), whose sum is σ = 1528776168192. Its totient is φ = 646725961728.

The previous prime is 1014234041291. The next prime is 1014234041321. The reversal of 1014234041313 is 3131404324101.

1014234041313 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 2 + 340 + 4 + 1 + 313 = 666.

1014234041313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-1014234041313 is a prime.

It is a super-3 number, since 3×10142340413133 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1014234041113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4500520 + ... + 4720502.

It is an arithmetic number, because the mean of its divisors is an integer number (63699007008).

Almost surely, 21014234041313 is an apocalyptic number.

It is an amenable number.

1014234041313 is a deficient number, since it is larger than the sum of its proper divisors (514542126879).

1014234041313 is a wasteful number, since it uses less digits than its factorization.

1014234041313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242285 (or 242282 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1014234041313 its reverse (3131404324101), we get a palindrome (4145638365414).

The spelling of 1014234041313 in words is "one trillion, fourteen billion, two hundred thirty-four million, forty-one thousand, three hundred thirteen".

Divisors: 1 3 9 23 69 207 22273 66819 200457 219983 512279 659949 1536837 1979847 4610511 5059609 15178827 45536481 4899681359 14699044077 44097132231 112692671257 338078013771 1014234041313