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144153021141553 is a prime number
BaseRepresentation
bin100000110001101100111101…
…100111100101001000110001
3200220101220010220012122111111
4200301230331213211020301
5122343300341403012203
61230330552251113321
742235466150401264
oct4061547547451061
9626356126178444
10144153021141553
1141a27a53411366
12142019a3142841
1362587579629b8
142785087328cdb
15119eb3e3e426d
hex831b3d9e5231

144153021141553 has 2 divisors, whose sum is σ = 144153021141554. Its totient is φ = 144153021141552.

The previous prime is 144153021141539. The next prime is 144153021141587. The reversal of 144153021141553 is 355141120351441.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 113441606904609 + 30711414236944 = 10650897^2 + 5541788^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-144153021141553 is a prime.

It is not a weakly prime, because it can be changed into another prime (144153001141553) 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, 72076510570776 + 72076510570777.

It is an arithmetic number, because the mean of its divisors is an integer number (72076510570777).

Almost surely, 2144153021141553 is an apocalyptic number.

It is an amenable number.

144153021141553 is a deficient number, since it is larger than the sum of its proper divisors (1).

144153021141553 is an equidigital number, since it uses as much as digits as its factorization.

144153021141553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144000, while the sum is 40.

Adding to 144153021141553 its reverse (355141120351441), we get a palindrome (499294141492994).

The spelling of 144153021141553 in words is "one hundred forty-four trillion, one hundred fifty-three billion, twenty-one million, one hundred forty-one thousand, five hundred fifty-three".