Search a number
-
+
4424851314 = 2341311291861
BaseRepresentation
bin1000001111011110…
…11101111101110010
3102102101010201220000
410013233131331302
533030230220224
62011023530430
7214436421102
oct40757357562
912371121800
104424851314
111970793314
12a35a59a16
13556954620
142dd947202
151ad6e70c9
hex107bddf72

4424851314 has 80 divisors (see below), whose sum is σ = 10692832920. Its totient is φ = 1359555840.

The previous prime is 4424851303. The next prime is 4424851337. The reversal of 4424851314 is 4131584244.

4424851314 is a `hidden beast` number, since 4 + 42 + 485 + 131 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 553896225 + 3870955089 = 23535^2 + 62217^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2376744 + ... + 2378604.

Almost surely, 24424851314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4424851314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5346416460).

4424851314 is an abundant number, since it is smaller than the sum of its proper divisors (6267981606).

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

4424851314 is a wasteful number, since it uses less digits than its factorization.

4424851314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017 (or 3008 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 4424851314 is about 66519.5558764488. Note that the first 3 decimals coincide. The cubic root of 4424851314 is about 1641.7217830872.

The spelling of 4424851314 in words is "four billion, four hundred twenty-four million, eight hundred fifty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 1129 1861 2106 2258 3387 3722 5583 6774 10161 11166 14677 16749 20322 24193 29354 30483 33498 44031 48386 50247 60966 72579 88062 91449 100494 132093 145158 150741 182898 217737 264186 301482 396279 435474 653211 792558 1188837 1306422 1959633 2101069 2377674 3919266 4202138 6303207 12606414 18909621 27313897 37819242 54627794 56728863 81941691 113457726 163883382 170186589 245825073 340373178 491650146 737475219 1474950438 2212425657 4424851314