Search a number
-
+
34111315216 = 241138211951
BaseRepresentation
bin11111110001001100…
…010101110100010000
310021001021110100121001
4133301030111310100
51024324444041331
623400455511344
72315211252406
oct376114256420
9107037410531
1034111315216
1113514a48000
12673b988554
1332a808c6b4
141918497476
15d49a3b561
hex7f1315d10

34111315216 has 80 divisors (see below), whose sum is σ = 72820624896. Its totient is φ = 15478320000.

The previous prime is 34111315181. The next prime is 34111315219. The reversal of 34111315216 is 61251311143.

It is not an unprimeable number, because it can be changed into a prime (34111315219) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17483041 + ... + 17484991.

Almost surely, 234111315216 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 34111315216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36410312448).

34111315216 is an abundant number, since it is smaller than the sum of its proper divisors (38709309680).

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

34111315216 is a wasteful number, since it uses less digits than its factorization.

34111315216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813 (or 2785 counting only the distinct ones).

The product of its digits is 2160, while the sum is 28.

Adding to 34111315216 its reverse (61251311143), we get a palindrome (95362626359).

The spelling of 34111315216 in words is "thirty-four billion, one hundred eleven million, three hundred fifteen thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 821 968 1331 1642 1936 1951 2662 3284 3902 5324 6568 7804 9031 10648 13136 15608 18062 21296 21461 31216 36124 42922 72248 85844 99341 144496 171688 198682 236071 343376 397364 472142 794728 944284 1092751 1589456 1601771 1888568 2185502 2596781 3203542 3777136 4371004 5193562 6407084 8742008 10387124 12814168 17484016 17619481 20774248 25628336 35238962 41548496 70477924 140955848 193814291 281911696 387628582 775257164 1550514328 2131957201 3101028656 4263914402 8527828804 17055657608 34111315216