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13343441104 = 2473114925793
BaseRepresentation
bin11000110110101010…
…01100000011010000
31021102221001001002101
430123111030003100
5204311410103404
610044020130144
7651443243440
oct143325140320
937387031071
1013343441104
11572802a884
122704836954
13134859c6a6
1490820a120
155316922a4
hex31b54c0d0

13343441104 has 80 divisors (see below), whose sum is σ = 30705177600. Its totient is φ = 5496791040.

The previous prime is 13343441101. The next prime is 13343441107. The reversal of 13343441104 is 40114434331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13343441101) and next prime (13343441107).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13343441101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 504432 + ... + 530224.

It is an arithmetic number, because the mean of its divisors is an integer number (383814720).

Almost surely, 213343441104 is an apocalyptic number.

13343441104 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 13343441104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15352588800).

13343441104 is an abundant number, since it is smaller than the sum of its proper divisors (17361736496).

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

13343441104 is a wasteful number, since it uses less digits than its factorization.

13343441104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25988 (or 25982 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 13343441104 its reverse (40114434331), we get a palindrome (53457875435).

The spelling of 13343441104 in words is "thirteen billion, three hundred forty-three million, four hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 149 217 248 298 434 496 596 868 1043 1192 1736 2086 2384 3472 4172 4619 8344 9238 16688 18476 25793 32333 36952 51586 64666 73904 103172 129332 180551 206344 258664 361102 412688 517328 722204 799583 1444408 1599166 2888816 3198332 3843157 5597081 6396664 7686314 11194162 12793328 15372628 22388324 26902099 30745256 44776648 53804198 61490512 89553296 107608396 119137867 215216792 238275734 430433584 476551468 833965069 953102936 1667930138 1906205872 3335860276 6671720552 13343441104