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144155253137657 is a prime number
BaseRepresentation
bin100000110001101111000010…
…101001111110000011111001
3200220102002220110002210112212
4200301233002221332003321
5122343314424300401112
61230332001542344505
742235605362141456
oct4061570251760371
9626362813083485
10144155253137657
1141a28999305043
121420230672b135
136258a221b7a58
14278521993482d
15119ec20331522
hex831bc2a7e0f9

144155253137657 has 2 divisors, whose sum is σ = 144155253137658. Its totient is φ = 144155253137656.

The previous prime is 144155253137653. The next prime is 144155253137683. The reversal of 144155253137657 is 756731352551441.

It is a happy number.

144155253137657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 128228537030416 + 15926716107241 = 11323804^2 + 3990829^2 .

It is a cyclic number.

It is not a de Polignac number, because 144155253137657 - 22 = 144155253137653 is a prime.

It is a super-3 number, since 3×1441552531376573 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144155253137596 and 144155253137605.

It is not a weakly prime, because it can be changed into another prime (144155253137653) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72077626568828 + 72077626568829.

It is an arithmetic number, because the mean of its divisors is an integer number (72077626568829).

Almost surely, 2144155253137657 is an apocalyptic number.

It is an amenable number.

144155253137657 is a deficient number, since it is larger than the sum of its proper divisors (1).

144155253137657 is an equidigital number, since it uses as much as digits as its factorization.

144155253137657 is an evil number, because the sum of its binary digits is even.

The product of its digits is 52920000, while the sum is 59.

The spelling of 144155253137657 in words is "one hundred forty-four trillion, one hundred fifty-five billion, two hundred fifty-three million, one hundred thirty-seven thousand, six hundred fifty-seven".