[go: up one dir, main page]

Search a number
-
+
4314001104 = 243274279763
BaseRepresentation
bin1000000010010001…
…00110111011010000
3102010122112221222200
410001020212323100
532313341013404
61552024003200
7211622255460
oct40110467320
912118487880
104314001104
111914160976
12a04900500
135399b229a
142ccd2dba0
151a3aec839
hex101226ed0

4314001104 has 60 divisors (see below), whose sum is σ = 13797959136. Its totient is φ = 1232571456.

The previous prime is 4314001103. The next prime is 4314001127. The reversal of 4314001104 is 4011004134.

It is a super-2 number, since 2×43140011042 = 37221211050626437632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314001103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2138874 + ... + 2140889.

Almost surely, 24314001104 is an apocalyptic number.

It is an amenable number.

4314001104 is an abundant number, since it is smaller than the sum of its proper divisors (9483958032).

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

4314001104 is a wasteful number, since it uses less digits than its factorization.

4314001104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4279784 (or 4279775 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4314001104 is about 65681.0558989424. The cubic root of 4314001104 is about 1627.8963545830.

Adding to 4314001104 its reverse (4011004134), we get a palindrome (8325005238).

The spelling of 4314001104 in words is "four billion, three hundred fourteen million, one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 4279763 8559526 12839289 17119052 25678578 29958341 34238104 38517867 51357156 59916682 68476208 77035734 89875023 102714312 119833364 154071468 179750046 205428624 239666728 269625069 308142936 359500092 479333456 539250138 616285872 719000184 1078500276 1438000368 2157000552 4314001104