Search a number
-
+
4335317142 = 2313671974211
BaseRepresentation
bin1000000100110011…
…11011000010010110
3102012010122221002120
410002121323002112
532334320122032
61554104520410
7212301405402
oct40231730226
912163587076
104335317142
11192519aa32
12a0ba80106
13541236720
142d1abc102
151a590d62c
hex10267b096

4335317142 has 64 divisors (see below), whose sum is σ = 9527341824. Its totient is φ = 1307053440.

The previous prime is 4335317141. The next prime is 4335317149. The reversal of 4335317142 is 2417135334.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4335317141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1027417 + ... + 1031627.

It is an arithmetic number, because the mean of its divisors is an integer number (148864716).

Almost surely, 24335317142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4335317142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4763670912).

4335317142 is an abundant number, since it is smaller than the sum of its proper divisors (5192024682).

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

4335317142 is a wasteful number, since it uses less digits than its factorization.

4335317142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4493.

The product of its digits is 30240, while the sum is 33.

The square root of 4335317142 is about 65843.1252447816. The cubic root of 4335317142 is about 1630.5731661400.

The spelling of 4335317142 in words is "four billion, three hundred thirty-five million, three hundred seventeen thousand, one hundred forty-two".

Divisors: 1 2 3 6 13 26 39 67 78 134 197 201 394 402 591 871 1182 1742 2561 2613 4211 5122 5226 7683 8422 12633 13199 15366 25266 26398 39597 54743 79194 109486 164229 171587 282137 328458 343174 514761 564274 829567 846411 1029522 1659134 1692822 2488701 3667781 4977402 7335562 10784371 11003343 21568742 22006686 32353113 55580989 64706226 111161978 166742967 333485934 722552857 1445105714 2167658571 4335317142