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13843415040 = 21435713619
BaseRepresentation
bin11001110010010000…
…11100000000000000
31022201202211100101120
430321020130000000
5211322403240130
610205400232240
71000024041420
oct147110340000
938652740346
1013843415040
115964279684
12282416b680
1313c8045960
14954796480
15560502910
hex33921c000

13843415040 has 480 divisors, whose sum is σ = 54608171520. Its totient is φ = 2916089856.

The previous prime is 13843415023. The next prime is 13843415081. The reversal of 13843415040 is 4051434831.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 13843414992 and 13843415010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22363851 + ... + 22364469.

It is an arithmetic number, because the mean of its divisors is an integer number (113767024).

Almost surely, 213843415040 is an apocalyptic number.

13843415040 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 13843415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27304085760).

13843415040 is an abundant number, since it is smaller than the sum of its proper divisors (40764756480).

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

13843415040 is an equidigital number, since it uses as much as digits as its factorization.

13843415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 13843415040 its reverse (4051434831), we get a palindrome (17894849871).

The spelling of 13843415040 in words is "thirteen billion, eight hundred forty-three million, four hundred fifteen thousand, forty".