Search a number
-
+
12302342016 = 273271118219
BaseRepresentation
bin10110111010100011…
…01101011110000000
31011202101000201121220
423131101231132000
5200143344421031
65352425515040
7613602116226
oct133521553600
934671021556
1012302342016
115243395708
122474042a80
1312109a2623
14849c40b16
154c0093596
hex2dd46d780

12302342016 has 64 divisors (see below), whose sum is σ = 32798956800. Its totient is φ = 4085614080.

The previous prime is 12302341967. The next prime is 12302342057. The reversal of 12302342016 is 61024320321.

12302342016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 44955 + ... + 163173.

It is an arithmetic number, because the mean of its divisors is an integer number (512483700).

Almost surely, 212302342016 is an apocalyptic number.

12302342016 is a gapful number since it is divisible by the number (16) 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 12302342016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16399478400).

12302342016 is an abundant number, since it is smaller than the sum of its proper divisors (20496614784).

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

12302342016 is a wasteful number, since it uses less digits than its factorization.

12302342016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118507 (or 118495 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12302342016 its reverse (61024320321), we get a palindrome (73326662337).

The spelling of 12302342016 in words is "twelve billion, three hundred two million, three hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 271 384 542 813 1084 1626 2168 3252 4336 6504 8672 13008 17344 26016 34688 52032 104064 118219 236438 354657 472876 709314 945752 1418628 1891504 2837256 3783008 5674512 7566016 11349024 15132032 22698048 32037349 45396096 64074698 96112047 128149396 192224094 256298792 384448188 512597584 768896376 1025195168 1537792752 2050390336 3075585504 4100780672 6151171008 12302342016