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144245053125 = 34551733521
BaseRepresentation
bin1000011001010110101…
…1001101011011000101
3111210022200111220220000
42012111223031123011
54330403213200000
6150133144031513
713264345502325
oct2062553153305
9453280456800
10144245053125
11561a0632408
1223b57462599
13107aa1b3554
146da5331285
153b43750000
hex2195acd6c5

144245053125 has 120 divisors (see below), whose sum is σ = 285180637896. Its totient is φ = 72403200000.

The previous prime is 144245053123. The next prime is 144245053151. The reversal of 144245053125 is 521350542441.

144245053125 is a `hidden beast` number, since 1 + 4 + 4 + 24 + 505 + 3 + 125 = 666.

144245053125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 143524291716 + 720761409 = 378846^2 + 26847^2 .

It is not a de Polignac number, because 144245053125 - 21 = 144245053123 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 144245053125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144245053123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4286365 + ... + 4319885.

Almost surely, 2144245053125 is an apocalyptic number.

144245053125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144245053125 is a deficient number, since it is larger than the sum of its proper divisors (140935584771).

144245053125 is an frugal number, since it uses more digits than its factorization.

144245053125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33575 (or 33546 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 144245053125 its reverse (521350542441), we get a palindrome (665595595566).

The spelling of 144245053125 in words is "one hundred forty-four billion, two hundred forty-five million, fifty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 27 45 51 75 81 85 125 135 153 225 255 375 405 425 459 625 675 765 1125 1275 1377 1875 2025 2125 2295 3125 3375 3825 5625 6375 6885 9375 10125 10625 11475 16875 19125 28125 31875 33521 34425 50625 53125 57375 84375 95625 100563 159375 167605 172125 253125 286875 301689 478125 502815 569857 838025 860625 905067 1434375 1508445 1709571 2514075 2715201 2849285 4190125 4303125 4525335 5128713 7542225 8547855 12570375 13576005 14246425 15386139 20950625 22626675 25643565 37711125 42739275 46158417 62851875 67880025 71232125 76930695 104753125 113133375 128217825 188555625 213696375 230792085 314259375 339400125 356160625 384653475 565666875 641089125 942778125 1068481875 1153960425 1697000625 1780803125 1923267375 2828334375 3205445625 5342409375 5769802125 8485003125 9616336875 16027228125 28849010625 48081684375 144245053125