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115215334144 = 281395575813
BaseRepresentation
bin110101101001101011…
…1100111101100000000
3102000101112222101211221
41223103113213230000
53341430111143034
6124532412244424
711216100116161
oct1532327475400
9360345871757
10115215334144
1144954063919
121a3b5470714
13ab31b51541
14580dad9768
152ee4dd6bb4
hex1ad35e7b00

115215334144 has 72 divisors (see below), whose sum is σ = 232090926480. Its totient is φ = 57080721408.

The previous prime is 115215334139. The next prime is 115215334147. The reversal of 115215334144 is 441433512511.

It is not an unprimeable number, because it can be changed into a prime (115215334147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19817382 + ... + 19823194.

It is an arithmetic number, because the mean of its divisors is an integer number (3223485090).

Almost surely, 2115215334144 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 115215334144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116045463240).

115215334144 is an abundant number, since it is smaller than the sum of its proper divisors (116875592336).

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

115215334144 is an equidigital number, since it uses as much as digits as its factorization.

115215334144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6525 (or 6511 counting only the distinct ones).

The product of its digits is 28800, while the sum is 34.

Adding to 115215334144 its reverse (441433512511), we get a palindrome (556648846655).

The spelling of 115215334144 in words is "one hundred fifteen billion, two hundred fifteen million, three hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 139 256 278 556 557 1112 1114 2224 2228 4448 4456 5813 8896 8912 11626 17792 17824 23252 35584 35648 46504 71296 77423 93008 142592 154846 186016 309692 372032 619384 744064 808007 1238768 1488128 1616014 2477536 3232028 3237841 4955072 6464056 6475682 9910144 12928112 12951364 19820288 25856224 25902728 51712448 51805456 103424896 103610912 206849792 207221824 414443648 450059899 828887296 900119798 1800239596 3600479192 7200958384 14401916768 28803833536 57607667072 115215334144