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145460614365 = 325112311127157
BaseRepresentation
bin1000011101111000100…
…0001101010011011101
3111220110101210211102200
42013132020031103131
54340400404124430
6150453525442113
713336435551543
oct2073610152335
9456411724380
10145460614365
11567647a7580
1224236570339
1310941c95961
14707c951d93
153bb5311460
hex21de20d4dd

145460614365 has 48 divisors (see below), whose sum is σ = 275173981056. Its totient is φ = 70495286400.

The previous prime is 145460614361. The next prime is 145460614379. The reversal of 145460614365 is 563416064541.

145460614365 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 606 + 1 + 4 + 36 + 5 = 666.

145460614365 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 145460614365 - 22 = 145460614361 is a prime.

It is a super-3 number, since 3×1454606143653 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 145460614365.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145460614361) 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 47 ways as a sum of consecutive naturals, for example, 1080367 + ... + 1207523.

It is an arithmetic number, because the mean of its divisors is an integer number (5732791272).

Almost surely, 2145460614365 is an apocalyptic number.

145460614365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145460614365 is a deficient number, since it is larger than the sum of its proper divisors (129713366691).

145460614365 is a wasteful number, since it uses less digits than its factorization.

145460614365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129490 (or 129487 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 145460614365 in words is "one hundred forty-five billion, four hundred sixty million, six hundred fourteen thousand, three hundred sixty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 2311 6933 11555 20799 25421 34665 76263 103995 127105 127157 228789 381315 381471 635785 1143945 1144413 1398727 1907355 4196181 5722065 6993635 12588543 20980905 62942715 293859827 881579481 1469299135 2644738443 3232458097 4407897405 9697374291 13223692215 16162290485 29092122873 48486871455 145460614365