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1397144899584 = 21238721061
BaseRepresentation
bin10100010101001100010…
…100110101000000000000
311221120021102121200000000
4110111030110311000000
5140342323043241314
62545501200000000
7202640360462100
oct24251424650000
94846242550000
101397144899584
11499586966075
121a6939000000
13a199a256b45
144b89d361200
152652268e209
hex1454c535000

1397144899584 has 702 divisors, whose sum is σ = 4879502334954. Its totient is φ = 398808023040.

The previous prime is 1397144899537. The next prime is 1397144899607. The reversal of 1397144899584 is 4859984417931.

1397144899584 is a `hidden beast` number, since 1 + 3 + 97 + 1 + 4 + 489 + 9 + 58 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1265463005184 + 131681894400 = 1124928^2 + 362880^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1316818414 + ... + 1316819474.

It is an arithmetic number, because the mean of its divisors is an integer number (6950858027).

Almost surely, 21397144899584 is an apocalyptic number.

1397144899584 is a gapful number since it is divisible by the number (14) 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 1397144899584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439751167477).

1397144899584 is an abundant number, since it is smaller than the sum of its proper divisors (3482357435370).

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

1397144899584 is an frugal number, since it uses more digits than its factorization.

1397144899584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1073 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 72.

The spelling of 1397144899584 in words is "one trillion, three hundred ninety-seven billion, one hundred forty-four million, eight hundred ninety-nine thousand, five hundred eighty-four".