Search a number
-
+
4114320431 = 1323109126241
BaseRepresentation
bin1111010100111011…
…1000110000101111
3101121201211010121012
43311032320300233
531411231223211
61520132055435
7203646101204
oct36516706057
911551733535
104114320431
111821476921
12969a6457b
1350750a440
142b05d1cab
15191307d8b
hexf53b8c2f

4114320431 has 16 divisors (see below), whose sum is σ = 4665904320. Its totient is φ = 3599354880.

The previous prime is 4114320377. The next prime is 4114320443. The reversal of 4114320431 is 1340234114.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4114320431 is a prime.

It is a super-2 number, since 2×41143204312 = 33855265217888051522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4114320397 and 4114320406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114323431) 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, 30530 + ... + 95711.

It is an arithmetic number, because the mean of its divisors is an integer number (291619020).

Almost surely, 24114320431 is an apocalyptic number.

4114320431 is a deficient number, since it is larger than the sum of its proper divisors (551583889).

4114320431 is a wasteful number, since it uses less digits than its factorization.

4114320431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126386.

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 4114320431 is about 64142.9686793494. The cubic root of 4114320431 is about 1602.3819250475.

Adding to 4114320431 its reverse (1340234114), we get a palindrome (5454554545).

The spelling of 4114320431 in words is "four billion, one hundred fourteen million, three hundred twenty thousand, four hundred thirty-one".

Divisors: 1 13 23 109 299 1417 2507 32591 126241 1641133 2903543 13760269 37746059 178883497 316486187 4114320431