Search a number
-
+
9315445140 = 22325467110819
BaseRepresentation
bin10001010110011111…
…00110100110010100
3220001012122122101200
420223033212212110
5123034223221030
64140210152500
7446562656121
oct105317464624
926035578350
109315445140
113a503648a1
12197b882730
13b55c28221
14645289748
15397c3bd60
hex22b3e6994

9315445140 has 72 divisors (see below), whose sum is σ = 28317612960. Its totient is φ = 2478777024.

The previous prime is 9315445129. The next prime is 9315445141. The reversal of 9315445140 is 415445139.

It is a happy number.

9315445140 is a `hidden beast` number, since 93 + 1 + 54 + 4 + 514 + 0 = 666.

9315445140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9315445095 and 9315445104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9315445141) 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 23 ways as a sum of consecutive naturals, for example, 28651 + ... + 139469.

It is an arithmetic number, because the mean of its divisors is an integer number (393300180).

Almost surely, 29315445140 is an apocalyptic number.

9315445140 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9315445140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14158806480).

9315445140 is an abundant number, since it is smaller than the sum of its proper divisors (19002167820).

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

9315445140 is a wasteful number, since it uses less digits than its factorization.

9315445140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111301 (or 111296 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 9315445140 is about 96516.5537097134. The cubic root of 9315445140 is about 2104.1072406147.

The spelling of 9315445140 in words is "nine billion, three hundred fifteen million, four hundred forty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 467 934 1401 1868 2335 2802 4203 4670 5604 7005 8406 9340 14010 16812 21015 28020 42030 84060 110819 221638 332457 443276 554095 664914 997371 1108190 1329828 1662285 1994742 2216380 3324570 3989484 4986855 6649140 9973710 19947420 51752473 103504946 155257419 207009892 258762365 310514838 465772257 517524730 621029676 776287095 931544514 1035049460 1552574190 1863089028 2328861285 3105148380 4657722570 9315445140