Search a number
-
+
40114631101 is a prime number
BaseRepresentation
bin100101010111000001…
…001011000110111101
310211112122202101210211
4211113001023012331
51124123321143401
630232311432421
72620035511156
oct452701130675
9124478671724
1040114631101
1116015733096
127936385711
133a23a4980c
141d278ca92d
15109bacb951
hex95704b1bd

40114631101 has 2 divisors, whose sum is σ = 40114631102. Its totient is φ = 40114631100.

The previous prime is 40114631069. The next prime is 40114631107. The reversal of 40114631101 is 10113641104.

It is a happy number.

40114631101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30923574201 + 9191056900 = 175851^2 + 95870^2 .

It is a cyclic number.

It is not a de Polignac number, because 40114631101 - 25 = 40114631069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40114631107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20057315550 + 20057315551.

It is an arithmetic number, because the mean of its divisors is an integer number (20057315551).

Almost surely, 240114631101 is an apocalyptic number.

It is an amenable number.

40114631101 is a deficient number, since it is larger than the sum of its proper divisors (1).

40114631101 is an equidigital number, since it uses as much as digits as its factorization.

40114631101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 40114631101 in words is "forty billion, one hundred fourteen million, six hundred thirty-one thousand, one hundred one".