Search a number
-
+
145057233267 = 33231009231503
BaseRepresentation
bin1000011100011000010…
…1011011100101110011
3111212102021202221121000
42013012011123211303
54334034122431032
6150345515533043
713323440065422
oct2070605334563
9455367687530
10145057233267
1156578032371
122414345a183
13108a953c40b
14704114b2b9
153b8ebd0e7c
hex21c615b973

145057233267 has 32 divisors (see below), whose sum is σ = 224466278400. Its totient is φ = 92408190336.

The previous prime is 145057233227. The next prime is 145057233271. The reversal of 145057233267 is 762332750541.

145057233267 is a `hidden beast` number, since 1 + 4 + 50 + 572 + 3 + 3 + 26 + 7 = 666.

145057233267 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 145057233267 - 224 = 145040456051 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145057233227) 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 31 ways as a sum of consecutive naturals, for example, 510838 + ... + 742340.

It is an arithmetic number, because the mean of its divisors is an integer number (7014571200).

Almost surely, 2145057233267 is an apocalyptic number.

145057233267 is a deficient number, since it is larger than the sum of its proper divisors (79409045133).

145057233267 is a wasteful number, since it uses less digits than its factorization.

145057233267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232544 (or 232538 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 145057233267 in words is "one hundred forty-five billion, fifty-seven million, two hundred thirty-three thousand, two hundred sixty-seven".

Divisors: 1 3 9 23 27 69 207 621 1009 3027 9081 23207 27243 69621 208863 231503 626589 694509 2083527 5324569 6250581 15973707 47921121 143763363 233586527 700759581 2102278743 5372490121 6306836229 16117470363 48352411089 145057233267