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144413001133 is a prime number
BaseRepresentation
bin1000011001111110101…
…1111000010110101101
3111210202101112120020121
42012133223320112231
54331224212014013
6150201543444541
713301455153552
oct2063753702655
9453671476217
10144413001133
1156277413215
1223ba3756751
1310805c2787b
146dbd76ca29
153b5337758d
hex219faf85ad

144413001133 has 2 divisors, whose sum is σ = 144413001134. Its totient is φ = 144413001132.

The previous prime is 144413001121. The next prime is 144413001137. The reversal of 144413001133 is 331100314441.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103892116329 + 40520884804 = 322323^2 + 201298^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-144413001133 is a prime.

It is a super-2 number, since 2×1444130011332 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144413001098 and 144413001107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (144413001137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72206500566 + 72206500567.

It is an arithmetic number, because the mean of its divisors is an integer number (72206500567).

Almost surely, 2144413001133 is an apocalyptic number.

It is an amenable number.

144413001133 is a deficient number, since it is larger than the sum of its proper divisors (1).

144413001133 is an equidigital number, since it uses as much as digits as its factorization.

144413001133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 144413001133 its reverse (331100314441), we get a palindrome (475513315574).

The spelling of 144413001133 in words is "one hundred forty-four billion, four hundred thirteen million, one thousand, one hundred thirty-three".