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1244146016736 = 2532717291251797
BaseRepresentation
bin10010000110101100111…
…000011010000111100000
311101221100200020010020100
4102012230320122013200
5130341002340013421
62351315222542400
7155613045440130
oct22065470320740
94357320203210
101244146016736
1143a703a9a947
12181159b97a00
13904265c47bc
14443075b8ac0
152256a68bc26
hex121ace1a1e0

1244146016736 has 288 divisors, whose sum is σ = 4428961467840. Its totient is φ = 323023454208.

The previous prime is 1244146016731. The next prime is 1244146016807. The reversal of 1244146016736 is 6376106414421.

1244146016736 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 1 + 4 + 601 + 6 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 1244146016691 and 1244146016700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1244146016731) 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 47 ways as a sum of consecutive naturals, for example, 367990 + ... + 1619786.

It is an arithmetic number, because the mean of its divisors is an integer number (15378338430).

Almost surely, 21244146016736 is an apocalyptic number.

1244146016736 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 1244146016736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214480733920).

1244146016736 is an abundant number, since it is smaller than the sum of its proper divisors (3184815451104).

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

1244146016736 is a wasteful number, since it uses less digits than its factorization.

1244146016736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251866 (or 1251855 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 1244146016736 in words is "one trillion, two hundred forty-four billion, one hundred forty-six million, sixteen thousand, seven hundred thirty-six".