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153414148819 is a prime number
BaseRepresentation
bin1000111011100000110…
…0100010001011010011
3112122222200210020120211
42032320030202023103
510003143010230234
6154251045344551
714040513514621
oct2167014421323
9478880706524
10153414148819
115a076318748
1225896108157
131160b9ba369
1475d4da2511
153ecd6ce164
hex23b83222d3

153414148819 has 2 divisors, whose sum is σ = 153414148820. Its totient is φ = 153414148818.

The previous prime is 153414148757. The next prime is 153414148843. The reversal of 153414148819 is 918841414351.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 153414148819 - 231 = 151266665171 is a prime.

It is a super-2 number, since 2×1534141488192 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (153414148889) 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, 76707074409 + 76707074410.

It is an arithmetic number, because the mean of its divisors is an integer number (76707074410).

Almost surely, 2153414148819 is an apocalyptic number.

153414148819 is a deficient number, since it is larger than the sum of its proper divisors (1).

153414148819 is an equidigital number, since it uses as much as digits as its factorization.

153414148819 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 552960, while the sum is 49.

The spelling of 153414148819 in words is "one hundred fifty-three billion, four hundred fourteen million, one hundred forty-eight thousand, eight hundred nineteen".