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144144001624631 is a prime number
BaseRepresentation
bin100000110001100100100100…
…000000110110101000110111
3200220101000212022101201022012
4200301210210000312220313
5122343123403403442011
61230322501251354435
742235026506642501
oct4061444400665067
9626330768351265
10144144001624631
1141a241450aa848
12142000a65b2a1b
13625794b13b138
14278486d4b2d71
15119e7b265ea8b
hex831924036a37

144144001624631 has 2 divisors, whose sum is σ = 144144001624632. Its totient is φ = 144144001624630.

The previous prime is 144144001624561. The next prime is 144144001624661. The reversal of 144144001624631 is 136426100441441.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-144144001624631 is a prime.

It is a super-2 number, since 2×1441440016246312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (144144001624661) 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, 72072000812315 + 72072000812316.

It is an arithmetic number, because the mean of its divisors is an integer number (72072000812316).

Almost surely, 2144144001624631 is an apocalyptic number.

144144001624631 is a deficient number, since it is larger than the sum of its proper divisors (1).

144144001624631 is an equidigital number, since it uses as much as digits as its factorization.

144144001624631 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 221184, while the sum is 41.

The spelling of 144144001624631 in words is "one hundred forty-four trillion, one hundred forty-four billion, one million, six hundred twenty-four thousand, six hundred thirty-one".