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1244045344000 = 28532310715797
BaseRepresentation
bin10010000110100110111…
…000010111110100000000
311101221002122210102012111
4102012212320113310000
5130340301102002000
62351301225105104
7155610413643454
oct22064670276400
94357078712174
101244045344000
1143a662189a38
12181130328194
139040b7a6a34
14442d8090664
1522561902cba
hex121a6e17d00

1244045344000 has 288 divisors, whose sum is σ = 3264243929856. Its totient is φ = 471504281600.

The previous prime is 1244045343979. The next prime is 1244045344001. The reversal of 1244045344000 is 4435404421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1244045344001) by changing a digit.

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, 78744102 + ... + 78759898.

It is an arithmetic number, because the mean of its divisors is an integer number (11334180312).

Almost surely, 21244045344000 is an apocalyptic number.

1244045344000 is a gapful number since it is divisible by the number (10) 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 1244045344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632121964928).

1244045344000 is an abundant number, since it is smaller than the sum of its proper divisors (2020198585856).

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

1244045344000 is a wasteful number, since it uses less digits than its factorization.

1244045344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15958 (or 15934 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

The spelling of 1244045344000 in words is "one trillion, two hundred forty-four billion, forty-five million, three hundred forty-four thousand".