Search a number
-
+
151556406341 is a prime number
BaseRepresentation
bin1000110100100101110…
…1110011110001000101
3112111012020010010222212
42031021131303301011
54440341420000331
6153342443433205
713643465125034
oct2151135636105
9474166103885
10151556406341
115930270528a
1225457b25805
13113a3b60a62
14749a37871b
153e2056bd2b
hex2349773c45

151556406341 has 2 divisors, whose sum is σ = 151556406342. Its totient is φ = 151556406340.

The previous prime is 151556406329. The next prime is 151556406349. The reversal of 151556406341 is 143604655151.

151556406341 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., 83547590116 + 68008816225 = 289046^2 + 260785^2 .

It is a cyclic number.

It is not a de Polignac number, because 151556406341 - 210 = 151556405317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (151556406349) 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 as a sum of consecutive naturals, namely, 75778203170 + 75778203171.

It is an arithmetic number, because the mean of its divisors is an integer number (75778203171).

Almost surely, 2151556406341 is an apocalyptic number.

It is an amenable number.

151556406341 is a deficient number, since it is larger than the sum of its proper divisors (1).

151556406341 is an equidigital number, since it uses as much as digits as its factorization.

151556406341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216000, while the sum is 41.

The spelling of 151556406341 in words is "one hundred fifty-one billion, five hundred fifty-six million, four hundred six thousand, three hundred forty-one".