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144413001137 is a prime number
BaseRepresentation
bin1000011001111110101…
…1111000010110110001
3111210202101112120020202
42012133223320112301
54331224212014022
6150201543444545
713301455153556
oct2063753702661
9453671476222
10144413001137
1156277413219
1223ba3756755
1310805c27882
146dbd76ca2d
153b53377592
hex219faf85b1

144413001137 has 2 divisors, whose sum is σ = 144413001138. Its totient is φ = 144413001136.

The previous prime is 144413001133. The next prime is 144413001163. The reversal of 144413001137 is 731100314441.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91900528801 + 52512472336 = 303151^2 + 229156^2 .

It is a cyclic number.

It is not a de Polignac number, because 144413001137 - 22 = 144413001133 is a prime.

It is a super-2 number, since 2×1444130011372 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (144413001133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72206500568 + 72206500569.

It is an arithmetic number, because the mean of its divisors is an integer number (72206500569).

Almost surely, 2144413001137 is an apocalyptic number.

It is an amenable number.

144413001137 is a deficient number, since it is larger than the sum of its proper divisors (1).

144413001137 is an equidigital number, since it uses as much as digits as its factorization.

144413001137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 29.

Adding to 144413001137 its reverse (731100314441), we get a palindrome (875513315578).

The spelling of 144413001137 in words is "one hundred forty-four billion, four hundred thirteen million, one thousand, one hundred thirty-seven".