Search a number
-
+
4114312407 = 338313031409
BaseRepresentation
bin1111010100111011…
…0110110011010111
3101121201210201121000
43311032312303113
531411230444112
61520131554343
7203646035622
oct36516666327
911551721530
104114312407
111821470897
12969a5b9b3
135075068aa
142b05ccdb9
151913057dc
hexf53b6cd7

4114312407 has 32 divisors (see below), whose sum is σ = 6177830400. Its totient is φ = 2705826816.

The previous prime is 4114312393. The next prime is 4114312481. The reversal of 4114312407 is 7042134114.

4114312407 is a `hidden beast` number, since 411 + 4 + 3 + 1 + 240 + 7 = 666.

It is not a de Polignac number, because 4114312407 - 212 = 4114308311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114312207) 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, 2919319 + ... + 2920727.

It is an arithmetic number, because the mean of its divisors is an integer number (193057200).

Almost surely, 24114312407 is an apocalyptic number.

4114312407 is a deficient number, since it is larger than the sum of its proper divisors (2063517993).

4114312407 is a wasteful number, since it uses less digits than its factorization.

4114312407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804 (or 2798 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4114312407 is about 64142.9061315435. The cubic root of 4114312407 is about 1602.3808833590.

The spelling of 4114312407 in words is "four billion, one hundred fourteen million, three hundred twelve thousand, four hundred seven".

Divisors: 1 3 9 27 83 249 747 1303 1409 2241 3909 4227 11727 12681 35181 38043 108149 116947 324447 350841 973341 1052523 1835927 2920023 3157569 5507781 16523343 49570029 152381941 457145823 1371437469 4114312407