Search a number
-
+
145670458104 = 23331935494751
BaseRepresentation
bin1000011110101010100…
…0101100101011111000
3111221000000122222221000
42013222220230223320
54341313114124404
6150530423245000
713344564315063
oct2075250545370
9457000588830
10145670458104
11568621a3256
12242948a9760
13109765b8652
14709c7778da
153bc8962339
hex21eaa2caf8

145670458104 has 64 divisors (see below), whose sum is σ = 425937024000. Its totient is φ = 46001196000.

The previous prime is 145670458051. The next prime is 145670458121. The reversal of 145670458104 is 401854076541.

145670458104 is a `hidden beast` number, since 1 + 4 + 5 + 67 + 0 + 4 + 581 + 0 + 4 = 666.

145670458104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 145670458104.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17743272 + ... + 17751479.

It is an arithmetic number, because the mean of its divisors is an integer number (6655266000).

Almost surely, 2145670458104 is an apocalyptic number.

It is an amenable number.

145670458104 is an abundant number, since it is smaller than the sum of its proper divisors (280266565896).

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

145670458104 is a wasteful number, since it uses less digits than its factorization.

145670458104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35494785 (or 35494775 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 145670458104 in words is "one hundred forty-five billion, six hundred seventy million, four hundred fifty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 35494751 70989502 106484253 141979004 212968506 283958008 319452759 425937012 638905518 674400269 851874024 958358277 1277811036 1348800538 1916716554 2023200807 2555622072 2697601076 3833433108 4046401614 5395202152 6069602421 7666866216 8092803228 12139204842 16185606456 18208807263 24278409684 36417614526 48556819368 72835229052 145670458104