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3064162314240 = 21133518895867
BaseRepresentation
bin101100100101101110010…
…011100110100000000000
3101211221010201222112221000
4230211232103212200000
5400200401023023430
610303353504332000
7434243540633526
oct54455623464000
911757121875830
103064162314240
11a8155a820065
12415a31914000
13192c456cc711
14a84404b2316
1554a8c5cee60
hex2c96e4e6800

3064162314240 has 384 divisors, whose sum is σ = 10899763056000. Its totient is φ = 816538189824.

The previous prime is 3064162314181. The next prime is 3064162314287. The reversal of 3064162314240 is 424132614603.

3064162314240 is a `hidden beast` number, since 3 + 0 + 6 + 4 + 1 + 623 + 1 + 4 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 3064162314195 and 3064162314204.

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 31 ways as a sum of consecutive naturals, for example, 522267787 + ... + 522273653.

It is an arithmetic number, because the mean of its divisors is an integer number (28384799625).

Almost surely, 23064162314240 is an apocalyptic number.

3064162314240 is a gapful number since it is divisible by the number (30) 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 3064162314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5449881528000).

3064162314240 is an abundant number, since it is smaller than the sum of its proper divisors (7835600741760).

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

3064162314240 is a wasteful number, since it uses less digits than its factorization.

3064162314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7792 (or 7766 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 3064162314240 its reverse (424132614603), we get a palindrome (3488294928843).

The spelling of 3064162314240 in words is "three trillion, sixty-four billion, one hundred sixty-two million, three hundred fourteen thousand, two hundred forty".