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144324023001533 = 199710313713214201
BaseRepresentation
bin100000110100001100001110…
…000111111010000110111101
3200221000020112022101012010222
4200310030032013322012331
5122404101044342022113
61230541312454311125
742254031555255104
oct4064141607720675
9627006468335128
10144324023001533
1141a93524512791
121422ab673584a5
13626b90a32872b
14278d46a07503b
1511a42ebb8be08
hex83430e1fa1bd

144324023001533 has 64 divisors (see below), whose sum is σ = 156262943316480. Its totient is φ = 132894203904000.

The previous prime is 144324023001451. The next prime is 144324023001551. The reversal of 144324023001533 is 335100320423441.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-144324023001533 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 144324023001493 and 144324023001502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144324023001553) 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 in 63 ways as a sum of consecutive naturals, for example, 34354680833 + ... + 34354685033.

It is an arithmetic number, because the mean of its divisors is an integer number (2441608489320).

Almost surely, 2144324023001533 is an apocalyptic number.

It is an amenable number.

144324023001533 is a deficient number, since it is larger than the sum of its proper divisors (11938920314947).

144324023001533 is a wasteful number, since it uses less digits than its factorization.

144324023001533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5878.

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 144324023001533 its reverse (335100320423441), we get a palindrome (479424343424974).

The spelling of 144324023001533 in words is "one hundred forty-four trillion, three hundred twenty-four billion, twenty-three million, one thousand, five hundred thirty-three".

Divisors: 1 19 97 103 137 1321 1843 1957 2603 4201 9991 13289 14111 25099 79819 128137 136063 180977 189829 252491 268109 407497 432703 575537 1368767 2434603 2585197 3438563 5549521 7742443 8221357 10935203 13198111 17554769 18640631 26006573 41972191 55827089 59280311 105440899 250764109 333540611 354171989 538303537 571600663 760284377 797471629 1060714691 1126325909 1808141207 5750190167 10227767203 10860412597 14445403163 34354682933 55445264311 73747584569 78309290831 109253613173 1053460021909 1401204106811 1487876525789 7596001210607 144324023001533