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13044301432320 = 293517372700281
BaseRepresentation
bin1011110111010001110011…
…1101000000011000000000
31201012000121210110110122010
42331310130331000120000
53202204212131313240
643424245214012520
72514263643512244
oct275643475003000
951160553413563
1013044301432320
11417a06a104584
1215680a61a7140
137380c2c3c0b2
143314c19b0424
151794a3ad7280
hexbdd1cf40600

13044301432320 has 320 divisors, whose sum is σ = 45347369386176. Its totient is φ = 3185379901440.

The previous prime is 13044301432291. The next prime is 13044301432321. The reversal of 13044301432320 is 2323410344031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13044301432321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3480580 + ... + 6180860.

Almost surely, 213044301432320 is an apocalyptic number.

13044301432320 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 13044301432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22673684693088).

13044301432320 is an abundant number, since it is smaller than the sum of its proper divisors (32303067953856).

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

13044301432320 is a wasteful number, since it uses less digits than its factorization.

13044301432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700361 (or 2700345 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 13044301432320 its reverse (2323410344031), we get a palindrome (15367711776351).

The spelling of 13044301432320 in words is "thirteen trillion, forty-four billion, three hundred one million, four hundred thirty-two thousand, three hundred twenty".