Search a number
-
+
86144444168 = 23231493142123
BaseRepresentation
bin101000000111010011…
…0111110011100001000
322020100112222011211012
41100032212332130020
52402410434203133
6103324010223052
76136511456666
oct1201646763410
9266315864735
1086144444168
1133596324a12
1214841724a88
13817b1059b3
144252c27c36
152392b39b48
hex140e9be708

86144444168 has 32 divisors (see below), whose sum is σ = 169674696000. Its totient is φ = 40922996928.

The previous prime is 86144444159. The next prime is 86144444179.

86144444168 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×861444441683 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1543646 + ... + 1598477.

It is an arithmetic number, because the mean of its divisors is an integer number (5302334250).

Almost surely, 286144444168 is an apocalyptic number.

It is an amenable number.

86144444168 is a deficient number, since it is larger than the sum of its proper divisors (83530251832).

86144444168 is a wasteful number, since it uses less digits than its factorization.

86144444168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142301 (or 3142297 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 50.

The spelling of 86144444168 in words is "eighty-six billion, one hundred forty-four million, four hundred forty-four thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 23 46 92 149 184 298 596 1192 3427 6854 13708 27416 3142123 6284246 12568492 25136984 72268829 144537658 289075316 468176327 578150632 936352654 1872705308 3745410616 10768055521 21536111042 43072222084 86144444168