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3072208127040 = 26325131717327901
BaseRepresentation
bin101100101101001101110…
…111111100010001000000
3101212200220110121012011200
4230231031313330101000
5400313340240031130
610311204122141200
7434650116131643
oct54551567742100
911780813535150
103072208127040
11a84a09439328
124174b8351800
131939285930b0
14a89a4ca3a5a
1554dadb29760
hex2cb4ddfc440

3072208127040 has 672 divisors, whose sum is σ = 12119464951776. Its totient is φ = 707611852800.

The previous prime is 3072208126969. The next prime is 3072208127041. The reversal of 3072208127040 is 407218022703.

3072208127040 is a `hidden beast` number, since 307 + 2 + 2 + 0 + 81 + 270 + 4 + 0 = 666.

3072208127040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 3713196096 + 3068494930944 = 60936^2 + 1751712^2 .

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 = 3072208126986 and 3072208127004.

It is not an unprimeable number, because it can be changed into a prime (3072208127041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110097090 + ... + 110124990.

It is an arithmetic number, because the mean of its divisors is an integer number (18034918083).

Almost surely, 23072208127040 is an apocalyptic number.

3072208127040 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 3072208127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6059732475888).

3072208127040 is an abundant number, since it is smaller than the sum of its proper divisors (9047256824736).

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

3072208127040 is a wasteful number, since it uses less digits than its factorization.

3072208127040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28127 (or 28114 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 3072208127040 in words is "three trillion, seventy-two billion, two hundred eight million, one hundred twenty-seven thousand, forty".