Search a number
-
+
11400024641 is a prime number
BaseRepresentation
bin10101001110111111…
…01001001001000001
31002102111011020212212
422213133221021001
5141321401242031
65123114031505
7552334416305
oct124737511101
932374136785
1011400024641
114920020275
122261a18595
1310c8a77215
147a207dd05
1546ac5a12b
hex2a77e9241

11400024641 has 2 divisors, whose sum is σ = 11400024642. Its totient is φ = 11400024640.

The previous prime is 11400024583. The next prime is 11400024667. The reversal of 11400024641 is 14642000411.

It is a happy number.

11400024641 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., 11277590416 + 122434225 = 106196^2 + 11065^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11400024641 is a prime.

It is not a weakly prime, because it can be changed into another prime (11400024941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5700012320 + 5700012321.

It is an arithmetic number, because the mean of its divisors is an integer number (5700012321).

Almost surely, 211400024641 is an apocalyptic number.

It is an amenable number.

11400024641 is a deficient number, since it is larger than the sum of its proper divisors (1).

11400024641 is an equidigital number, since it uses as much as digits as its factorization.

11400024641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 23.

The spelling of 11400024641 in words is "eleven billion, four hundred million, twenty-four thousand, six hundred forty-one".