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14540040125 = 531341229953
BaseRepresentation
bin11011000101010011…
…10110011110111101
31101112022122120100122
431202221312132331
5214234222241000
610402443304325
71023213205352
oct154251663675
941468576318
1014540040125
116191523396
12299951b0a5
1314a9472b50
149bd0d2629
155a175a085
hex362a767bd

14540040125 has 64 divisors (see below), whose sum is σ = 20126957760. Its totient is φ = 10418688000.

The previous prime is 14540040113. The next prime is 14540040133. The reversal of 14540040125 is 52104004541.

It can be written as a sum of positive squares in 32 ways, for example, as 14448761209 + 91278916 = 120203^2 + 9554^2 .

It is not a de Polignac number, because 14540040125 - 232 = 10245072829 is a prime.

It is a super-2 number, since 2×145400401252 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14540040094 and 14540040103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15256649 + ... + 15257601.

It is an arithmetic number, because the mean of its divisors is an integer number (314483715).

Almost surely, 214540040125 is an apocalyptic number.

It is an amenable number.

14540040125 is a deficient number, since it is larger than the sum of its proper divisors (5586917635).

14540040125 is a wasteful number, since it uses less digits than its factorization.

14540040125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

Adding to 14540040125 its reverse (52104004541), we get a palindrome (66644044666).

The spelling of 14540040125 in words is "fourteen billion, five hundred forty million, forty thousand, one hundred twenty-five".

Divisors: 1 5 13 25 41 65 125 205 229 325 533 953 1025 1145 1625 2665 2977 4765 5125 5725 9389 12389 13325 14885 23825 28625 39073 46945 61945 66625 74425 119125 122057 195365 218237 234725 309725 372125 507949 610285 976825 1091185 1173625 1548625 2539745 2837081 3051425 4884125 5455925 8947717 12698725 14185405 15257125 27279625 44738585 63493625 70927025 116320321 223692925 354635125 581601605 1118464625 2908008025 14540040125