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145225310265 = 3457461111119
BaseRepresentation
bin1000011101000000011…
…0100110000000111001
3111212212000001010220000
42013100012212000321
54334410134412030
6150414322223213
713330550525010
oct2072006460071
9455760033800
10145225310265
11566539a1082
122418b7b4b09
13109052ca369
1470595bda77
153b9e831860
hex21d01a6039

145225310265 has 80 divisors (see below), whose sum is σ = 298167851520. Its totient is φ = 66244106880.

The previous prime is 145225310249. The next prime is 145225310267. The reversal of 145225310265 is 562013522541.

145225310265 is a `hidden beast` number, since 1 + 45 + 22 + 531 + 0 + 2 + 65 = 666.

It is not a de Polignac number, because 145225310265 - 24 = 145225310249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145225310267) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1251376 + ... + 1362494.

It is an arithmetic number, because the mean of its divisors is an integer number (3727098144).

Almost surely, 2145225310265 is an apocalyptic number.

145225310265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145225310265 is an abundant number, since it is smaller than the sum of its proper divisors (152942541255).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145225310265 is a wasteful number, since it uses less digits than its factorization.

145225310265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111604 (or 111595 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 145225310265 in words is "one hundred forty-five billion, two hundred twenty-five million, three hundred ten thousand, two hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 461 567 945 1383 2305 2835 3227 4149 6915 9681 12447 16135 20745 29043 37341 48405 62235 87129 111119 145215 186705 261387 333357 435645 555595 777833 1000071 1306935 1666785 2333499 3000213 3889165 5000355 7000497 9000639 11667495 15001065 21001491 35002485 45003195 51225859 63004473 105007455 153677577 256129295 315022365 358581013 461032731 768387885 1075743039 1383098193 1792905065 2305163655 3227229117 4149294579 5378715195 6915490965 9681687351 16136145585 20746472895 29045062053 48408436755 145225310265