Search a number
-
+
145167035319 = 3237821530983
BaseRepresentation
bin1000011100110010100…
…0010010101110110111
3111212200221101110200200
42013030220102232313
54334300230112234
6150404441211543
713326242304135
oct2071450225667
9455627343620
10145167035319
1156624009269
1224174190bb3
13108c6205647
147051970755
153b9966ed99
hex21cca12bb7

145167035319 has 24 divisors (see below), whose sum is σ = 215615610912. Its totient is φ = 94047531840.

The previous prime is 145167035297. The next prime is 145167035333. The reversal of 145167035319 is 913530761541.

145167035319 is a `hidden beast` number, since 1 + 4 + 51 + 67 + 0 + 3 + 531 + 9 = 666.

145167035319 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 145167035319 - 25 = 145167035287 is a prime.

It is a super-2 number, since 2×1451670353192 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145167031319) 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 23 ways as a sum of consecutive naturals, for example, 7902 + ... + 538884.

It is an arithmetic number, because the mean of its divisors is an integer number (8983983788).

Almost surely, 2145167035319 is an apocalyptic number.

145167035319 is a deficient number, since it is larger than the sum of its proper divisors (70448575593).

145167035319 is a wasteful number, since it uses less digits than its factorization.

145167035319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531847 (or 531844 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 145167035319 in words is "one hundred forty-five billion, one hundred sixty-seven million, thirty-five thousand, three hundred nineteen".

Divisors: 1 3 9 37 111 333 821 2463 7389 30377 91131 273393 530983 1592949 4778847 19646371 58939113 176817339 435937043 1307811129 3923433387 16129670591 48389011773 145167035319