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1244377645056 = 22034721323
BaseRepresentation
bin10010000110111010101…
…100000000000000000000
311101221221211002001120000
4102012322230000000000
5130341441134120211
62351354215320000
7155621560314300
oct22067254000000
94357854061500
101244377645056
1143a812815707
12181203680000
13904625a3c90
144432a271600
1522580b92656
hex121bab00000

1244377645056 has 1260 divisors, whose sum is σ = 4859920950192. Its totient is φ = 313918488576.

The previous prime is 1244377645013. The next prime is 1244377645081. The reversal of 1244377645056 is 6505467734421.

1244377645056 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 3 + 77 + 64 + 505 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1244377644993 and 1244377645011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 54103375861 + ... + 54103375883.

Almost surely, 21244377645056 is an apocalyptic number.

1244377645056 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 1244377645056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429960475096).

1244377645056 is an abundant number, since it is smaller than the sum of its proper divisors (3615543305136).

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

1244377645056 is an frugal number, since it uses more digits than its factorization.

1244377645056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 1244377645056 in words is "one trillion, two hundred forty-four billion, three hundred seventy-seven million, six hundred forty-five thousand, fifty-six".