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13843799424 = 27357136773
BaseRepresentation
bin11001110010010011…
…11001110110000000
31022201210112212200000
430321021321312000
5211323003040144
610205412400000
71000030232160
oct147111716600
938653485600
1013843799424
115964511454
122824316000
1313c814b8c0
149548565a0
1556057b769
hex339279d80

13843799424 has 768 divisors, whose sum is σ = 52311866880. Its totient is φ = 3547348992.

The previous prime is 13843799423. The next prime is 13843799443. The reversal of 13843799424 is 42499734831.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (5225472) is a multiple of the sum of its prime factors (189).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13843799423) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 189641052 + ... + 189641124.

It is an arithmetic number, because the mean of its divisors is an integer number (68114410).

Almost surely, 213843799424 is an apocalyptic number.

13843799424 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 13843799424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26155933440).

13843799424 is an abundant number, since it is smaller than the sum of its proper divisors (38468067456).

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

13843799424 is an equidigital number, since it uses as much as digits as its factorization.

13843799424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 165 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 13843799424 in words is "thirteen billion, eight hundred forty-three million, seven hundred ninety-nine thousand, four hundred twenty-four".