Search a number
-
+
4427314128 = 243234918807
BaseRepresentation
bin1000001111110001…
…10111001111010000
3102102112202212020100
410013320313033100
533031343023003
62011152412400
7214466356236
oct40770671720
912375685210
104427314128
1119721156a6
12a36847100
13557307603
142dddc8956
151ada31ba3
hex107e373d0

4427314128 has 60 divisors (see below), whose sum is σ = 12395287008. Its totient is φ = 1475181120.

The previous prime is 4427314117. The next prime is 4427314187. The reversal of 4427314128 is 8214137244.

4427314128 is a `hidden beast` number, since 442 + 73 + 141 + 2 + 8 = 666.

It is a super-2 number, since 2×44273141282 = 39202220775976800768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4427314092 and 4427314101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 498301 + ... + 507107.

Almost surely, 24427314128 is an apocalyptic number.

4427314128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4427314128 is an abundant number, since it is smaller than the sum of its proper divisors (7967972880).

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

4427314128 is a wasteful number, since it uses less digits than its factorization.

4427314128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12312 (or 12303 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 4427314128 is about 66538.0652559120. The cubic root of 4427314128 is about 1642.0263135068.

The spelling of 4427314128 in words is "four billion, four hundred twenty-seven million, three hundred fourteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3491 6982 8807 10473 13964 17614 20946 26421 27928 31419 35228 41892 52842 55856 62838 70456 79263 83784 105684 125676 140912 158526 167568 211368 251352 317052 422736 502704 634104 1268208 30745237 61490474 92235711 122980948 184471422 245961896 276707133 368942844 491923792 553414266 737885688 1106828532 1475771376 2213657064 4427314128