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145416415631 is a prime number
BaseRepresentation
bin1000011101101101111…
…1100110100110001111
3111220100022122022011112
42013123133212212033
54340303100300011
6150445310242235
713335361065344
oct2073337464617
9456308568145
10145416415631
11567418593a3
12242237b637b
1310935a8bc66
147076b287cb
153bb14d058b
hex21db7e698f

145416415631 has 2 divisors, whose sum is σ = 145416415632. Its totient is φ = 145416415630.

The previous prime is 145416415609. The next prime is 145416415633. The reversal of 145416415631 is 136514614541.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-145416415631 is a prime.

It is a super-2 number, since 2×1454164156312 (a number of 23 digits) contains 22 as substring.

Together with 145416415633, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (145416415633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72708207815 + 72708207816.

It is an arithmetic number, because the mean of its divisors is an integer number (72708207816).

Almost surely, 2145416415631 is an apocalyptic number.

145416415631 is a deficient number, since it is larger than the sum of its proper divisors (1).

145416415631 is an equidigital number, since it uses as much as digits as its factorization.

145416415631 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 172800, while the sum is 41.

The spelling of 145416415631 in words is "one hundred forty-five billion, four hundred sixteen million, four hundred fifteen thousand, six hundred thirty-one".