Search a number
-
+
4114312041 = 371929355571
BaseRepresentation
bin1111010100111011…
…0110101101101001
3101121201210201002110
43311032312231221
531411230441131
61520131552533
7203646034560
oct36516665551
911551721073
104114312041
111821470594
12969a5b749
13507506688
142b05ccbd7
15191305646
hexf53b6b69

4114312041 has 32 divisors (see below), whose sum is σ = 6826982400. Its totient is φ = 2150487360.

The previous prime is 4114312039. The next prime is 4114312057. The reversal of 4114312041 is 1402134114.

It is not a de Polignac number, because 4114312041 - 21 = 4114312039 is a prime.

It is a super-3 number, since 3×41143120413 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 4114311999 and 4114312017.

It is not an unprimeable number, because it can be changed into a prime (4114312061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166215 + ... + 189356.

It is an arithmetic number, because the mean of its divisors is an integer number (213343200).

Almost surely, 24114312041 is an apocalyptic number.

It is an amenable number.

4114312041 is a deficient number, since it is larger than the sum of its proper divisors (2712670359).

4114312041 is a wasteful number, since it uses less digits than its factorization.

4114312041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355629.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 4114312041 is about 64142.9032785389. The cubic root of 4114312041 is about 1602.3808358442.

Adding to 4114312041 its reverse (1402134114), we get a palindrome (5516446155).

The spelling of 4114312041 in words is "four billion, one hundred fourteen million, three hundred twelve thousand, forty-one".

Divisors: 1 3 7 19 21 29 57 87 133 203 399 551 609 1653 3857 11571 355571 1066713 2488997 6755849 7466991 10311559 20267547 30934677 47290943 72180913 141872829 195919621 216542739 587758863 1371437347 4114312041