Search a number
-
+
4234114112 = 261710337783
BaseRepresentation
bin1111110001011111…
…0111010001000000
3101221002020021122012
43330113313101000
532132413122422
61540051432052
7206632243004
oct37427672100
911832207565
104234114112
111883057668
129a1bb5628
13526291487
142c2496704
1519babc4e2
hexfc5f7440

4234114112 has 56 divisors (see below), whose sum is σ = 8982919296. Its totient is φ = 1973127168.

The previous prime is 4234114103. The next prime is 4234114189. The reversal of 4234114112 is 2114114324.

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 7 ways as a sum of consecutive naturals, for example, 93173 + ... + 130955.

Almost surely, 24234114112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4234114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4491459648).

4234114112 is an abundant number, since it is smaller than the sum of its proper divisors (4748805184).

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

4234114112 is a wasteful number, since it uses less digits than its factorization.

4234114112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37915 (or 37905 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 4234114112 is about 65070.0707852696. The cubic root of 4234114112 is about 1617.7851804216.

Adding to 4234114112 its reverse (2114114324), we get a palindrome (6348228436).

The spelling of 4234114112 in words is "four billion, two hundred thirty-four million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 103 136 206 272 412 544 824 1088 1648 1751 3296 3502 6592 7004 14008 28016 37783 56032 75566 112064 151132 302264 604528 642311 1209056 1284622 2418112 2569244 3891649 5138488 7783298 10276976 15566596 20553952 31133192 41107904 62266384 66158033 124532768 132316066 249065536 264632132 529264264 1058528528 2117057056 4234114112