Search a number
-
+
42014341312 = 264123936691
BaseRepresentation
bin100111001000001111…
…111111100011000000
311000110001101200022021
4213020033333203000
51142021132410222
631145013051224
73015104002666
oct471017774300
9130401350267
1042014341312
1116900000529
128186626b14
133c674ab4b8
142067d1ac36
15115d77dac7
hex9c83ff8c0

42014341312 has 56 divisors (see below), whose sum is σ = 85454136432. Its totient is φ = 20483174400.

The previous prime is 42014341253. The next prime is 42014341319. The reversal of 42014341312 is 21314341024.

42014341312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42014341319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6275887 + ... + 6282577.

It is an arithmetic number, because the mean of its divisors is an integer number (1525966722).

Almost surely, 242014341312 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 42014341312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42727068216).

42014341312 is an abundant number, since it is smaller than the sum of its proper divisors (43439795120).

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

42014341312 is a wasteful number, since it uses less digits than its factorization.

42014341312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9137 (or 9127 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 42014341312 its reverse (21314341024), we get a palindrome (63328682336).

The spelling of 42014341312 in words is "forty-two billion, fourteen million, three hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 2393 2624 4786 6691 9572 13382 19144 26764 38288 53528 76576 98113 107056 153152 196226 214112 274331 392452 428224 548662 784904 1097324 1569808 2194648 3139616 4389296 6279232 8778592 16011563 17557184 32023126 64046252 128092504 256185008 512370016 656474083 1024740032 1312948166 2625896332 5251792664 10503585328 21007170656 42014341312