Search a number
-
+
4113312131043 = 3241107137760433
BaseRepresentation
bin111011110110110100100…
…000100010011111100011
3112120020011210110100221100
4323312310200202133203
51014343030401143133
612425343550125443
7603114465142233
oct73666440423743
915506153410840
104113312131043
11134649a511865
1256522bab0883
1323ab6456449b
1410312a379cc3
1571ee3c4ee13
hex3bdb48227e3

4113312131043 has 48 divisors (see below), whose sum is σ = 6188095551456. Its totient is φ = 2630973050880.

The previous prime is 4113312131041. The next prime is 4113312131051. The reversal of 4113312131043 is 3401312133114.

4113312131043 is a `hidden beast` number, since 4 + 11 + 331 + 2 + 1 + 310 + 4 + 3 = 666.

It is not a de Polignac number, because 4113312131043 - 21 = 4113312131041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4113312130998 and 4113312131016.

It is not an unprimeable number, because it can be changed into a prime (4113312131041) 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 47 ways as a sum of consecutive naturals, for example, 5028955 + ... + 5789387.

It is an arithmetic number, because the mean of its divisors is an integer number (128918657322).

Almost surely, 24113312131043 is an apocalyptic number.

4113312131043 is a deficient number, since it is larger than the sum of its proper divisors (2074783420413).

4113312131043 is a wasteful number, since it uses less digits than its factorization.

4113312131043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760724 (or 760721 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 4113312131043 its reverse (3401312133114), we get a palindrome (7514624264157).

The spelling of 4113312131043 in words is "four trillion, one hundred thirteen billion, three hundred twelve million, one hundred thirty-one thousand, forty-three".

Divisors: 1 3 9 41 107 123 137 321 369 411 963 1233 4387 5617 13161 14659 16851 39483 43977 50553 131931 601019 760433 1803057 2281299 5409171 6843897 31177753 81366331 93533259 104179321 244098993 280599777 312537963 732296979 937613889 3336019571 4271352161 10008058713 11147187347 12814056483 30024176139 33441562041 38442169449 100324686123 457034681227 1371104043681 4113312131043