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144230122322325 = 325213233211628513
BaseRepresentation
bin100000110010110100110001…
…001101001111100110010101
3200220200021011012200110002100
4200302310301031033212111
5122401031242303303300
61230430223053032313
742244165612541004
oct4062646115174625
9626607135613070
10144230122322325
1141a57718a85676
1214214920185699
136262ac434b360
142788abd0b8c3b
1511a1b53158700
hex832d3134f995

144230122322325 has 72 divisors (see below), whose sum is σ = 279397889781192. Its totient is φ = 70700853288960.

The previous prime is 144230122322323. The next prime is 144230122322353. The reversal of 144230122322325 is 523223221032441.

144230122322325 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 3 + 0 + 1 + 2 + 2 + 322 + 325 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 96420655637604 + 47809466684721 = 9819402^2 + 6914439^2 .

It is not a de Polignac number, because 144230122322325 - 21 = 144230122322323 is a prime.

It is a super-2 number, since 2×1442301223223252 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144230122322325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144230122322323) 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 71 ways as a sum of consecutive naturals, for example, 105132732 + ... + 106495781.

It is an arithmetic number, because the mean of its divisors is an integer number (3880526246961).

Almost surely, 2144230122322325 is an apocalyptic number.

144230122322325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144230122322325 is a deficient number, since it is larger than the sum of its proper divisors (135167767458867).

144230122322325 is a wasteful number, since it uses less digits than its factorization.

144230122322325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211628775 (or 211628767 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 144230122322325 its reverse (523223221032441), we get a palindrome (667453343354766).

The spelling of 144230122322325 in words is "one hundred forty-four trillion, two hundred thirty billion, one hundred twenty-two million, three hundred twenty-two thousand, three hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 233 325 585 699 975 1165 2097 2925 3029 3495 5825 9087 10485 15145 17475 27261 45435 52425 75725 136305 227175 681525 211628513 634885539 1058142565 1904656617 2751170669 3174427695 5290712825 8253512007 9523283085 13755853345 15872138475 24760536021 41267560035 47616415425 49309443529 68779266725 123802680105 147928330587 206337800175 246547217645 443784991761 619013400525 641022765877 739641652935 1232736088225 1923068297631 2218924958805 3205113829385 3698208264675 5769204892893 9615341488155 11094624794025 16025569146925 28846024464465 48076707440775 144230122322325