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740082112200 = 2338527512
BaseRepresentation
bin10101100010100000101…
…01001101011011001000
32121202021121001200000000
422301100111031123020
544111142010042300
61323553344043000
7104316632105334
oct12612025153310
92552247050000
10740082112200
1126595a070862
12bb524003460
1354a3553c0b2
1427b6a7687c4
15143b7dadc00
hexac5054d6c8

740082112200 has 324 divisors, whose sum is σ = 2584346436945. Its totient is φ = 197092440000.

The previous prime is 740082112169. The next prime is 740082112219. The reversal of 740082112200 is 2211280047.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 725280469956 + 14801642244 = 851634^2 + 121662^2 .

It is a tau number, because it is divible by the number of its divisors (324).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=608310.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 80 ways as a sum of consecutive naturals, for example, 985461825 + ... + 985462575.

Almost surely, 2740082112200 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 740082112200

740082112200 is an abundant number, since it is smaller than the sum of its proper divisors (1844264324745).

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

740082112200 is an frugal number, since it uses more digits than its factorization.

740082112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Adding to 740082112200 its reverse (2211280047), we get a palindrome (742293392247).

The spelling of 740082112200 in words is "seven hundred forty billion, eighty-two million, one hundred twelve thousand, two hundred".