Search a number
-
+
4120040431 = 134144317449
BaseRepresentation
bin1111010110010010…
…1101001111101111
3101122010120201222001
43311210231033233
531414212243211
61520454433131
7204045523453
oct36544551757
911563521861
104120040431
1118247233a1
1296b9627a7
13508760b60
142b1280663
15191a87ac1
hexf592d3ef

4120040431 has 16 divisors (see below), whose sum is σ = 4555706400. Its totient is φ = 3701767680.

The previous prime is 4120040429. The next prime is 4120040443. The reversal of 4120040431 is 1340400214.

4120040431 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4120040431 - 21 = 4120040429 is a prime.

It is a super-2 number, since 2×41200404312 = 33949466306149331522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4120040399 and 4120040408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4120040471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227395 + ... + 244843.

It is an arithmetic number, because the mean of its divisors is an integer number (284731650).

Almost surely, 24120040431 is an apocalyptic number.

4120040431 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

4120040431 is a deficient number, since it is larger than the sum of its proper divisors (435665969).

4120040431 is a wasteful number, since it uses less digits than its factorization.

4120040431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17946.

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4120040431 is about 64187.5410885944. The cubic root of 4120040431 is about 1603.1241602469.

Adding to 4120040431 its reverse (1340400214), we get a palindrome (5460440645).

The spelling of 4120040431 in words is "four billion, one hundred twenty million, forty thousand, four hundred thirty-one".

Divisors: 1 13 41 443 533 5759 17449 18163 226837 236119 715409 7729907 9300317 100488791 316926187 4120040431