Search a number
-
+
4003110113004 = 2232317350780767
BaseRepresentation
bin111010010000001011111…
…101001100111011101100
3112011200201121220210220200
4322100023331030323230
51011041332142104004
612303000422313500
7562133541351012
oct72201375147354
915150647823820
104003110113004
1113037893305a2
125479b5588890
132306512548a2
14dba7440a8b2
156e1e4050239
hex3a40bf4ceec

4003110113004 has 36 divisors (see below), whose sum is σ = 10150893864384. Its totient is φ = 1330160664672.

The previous prime is 4003110113003. The next prime is 4003110113033.

4003110113004 is a `hidden beast` number, since 40 + 0 + 311 + 0 + 11 + 300 + 4 = 666.

4003110113004 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (4003110113003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175378972 + ... + 175401795.

Almost surely, 24003110113004 is an apocalyptic number.

It is an amenable number.

4003110113004 is an abundant number, since it is smaller than the sum of its proper divisors (6147783751380).

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

4003110113004 is a wasteful number, since it uses less digits than its factorization.

4003110113004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350781094 (or 350781089 counting only the distinct ones).

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

It can be divided in two parts, 4003110 and 113004, that added together give a palindrome (4116114).

The spelling of 4003110113004 in words is "four trillion, three billion, one hundred ten million, one hundred thirteen thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 317 634 951 1268 1902 2853 3804 5706 11412 350780767 701561534 1052342301 1403123068 2104684602 3157026903 4209369204 6314053806 12628107612 111197503139 222395006278 333592509417 444790012556 667185018834 1000777528251 1334370037668 2001555056502 4003110113004