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144959126401 is a prime number
BaseRepresentation
bin1000011100000000111…
…1001011101110000001
3111212011110011121021101
42013000033023232001
54333334014021101
6150332053054401
713321136146525
oct2070017135601
9455143147241
10144959126401
1156527714211
1224116627401
131089210c50b
1470320cdd85
153b862a2401
hex21c03cbb81

144959126401 has 2 divisors, whose sum is σ = 144959126402. Its totient is φ = 144959126400.

The previous prime is 144959126359. The next prime is 144959126423. The reversal of 144959126401 is 104621959441.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131170730625 + 13788395776 = 362175^2 + 117424^2 .

It is a cyclic number.

It is not a de Polignac number, because 144959126401 - 29 = 144959125889 is a prime.

It is not a weakly prime, because it can be changed into another prime (144959121401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72479563200 + 72479563201.

It is an arithmetic number, because the mean of its divisors is an integer number (72479563201).

Almost surely, 2144959126401 is an apocalyptic number.

It is an amenable number.

144959126401 is a deficient number, since it is larger than the sum of its proper divisors (1).

144959126401 is an equidigital number, since it uses as much as digits as its factorization.

144959126401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 144959126401 in words is "one hundred forty-four billion, nine hundred fifty-nine million, one hundred twenty-six thousand, four hundred one".