Search a number
-
+
40311130014 = 23217294542611
BaseRepresentation
bin100101100010101110…
…110000011110011110
310212001100111120122100
4211202232300132132
51130024122130024
630304011225530
72624642644251
oct454256603636
9125040446570
1040311130014
1116106644691
1279901482a6
133a5567936c
141d45a3b098
1510ade937c9
hex962bb079e

40311130014 has 48 divisors (see below), whose sum is σ = 95667408720. Its totient is φ = 12210535680.

The previous prime is 40311130009. The next prime is 40311130049. The reversal of 40311130014 is 41003111304.

40311130014 is a `hidden beast` number, since 40 + 311 + 1 + 300 + 14 = 666.

It is a super-3 number, since 3×403111300143 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 2262432 + ... + 2280179.

It is an arithmetic number, because the mean of its divisors is an integer number (1993071015).

Almost surely, 240311130014 is an apocalyptic number.

40311130014 is an abundant number, since it is smaller than the sum of its proper divisors (55356278706).

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

40311130014 is a wasteful number, since it uses less digits than its factorization.

40311130014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4542665 (or 4542662 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 40311130014 its reverse (41003111304), we get a palindrome (81314241318).

The spelling of 40311130014 in words is "forty billion, three hundred eleven million, one hundred thirty thousand, fourteen".

Divisors: 1 2 3 6 9 17 18 29 34 51 58 87 102 153 174 261 306 493 522 986 1479 2958 4437 8874 4542611 9085222 13627833 27255666 40883499 77224387 81766998 131735719 154448774 231673161 263471438 395207157 463346322 695019483 790414314 1185621471 1390038966 2239507223 2371242942 4479014446 6718521669 13437043338 20155565007 40311130014