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12344441341320 = 233351129130127541
BaseRepresentation
bin1011001110100010101000…
…0010101000010110001000
31121201010011100020011222000
42303220222002220112020
53104222403440410240
642130542535231000
72412566523056544
oct263505202502610
947633140204860
1012344441341320
113a2a280355660
121474528518460
136b70ca779c5a
1430968d0c8a24
15166191e69430
hexb3a2a0a8588

12344441341320 has 512 divisors, whose sum is σ = 46474150464000. Its totient is φ = 2887073280000.

The previous prime is 12344441341223. The next prime is 12344441341363. The reversal of 12344441341320 is 2314314444321.

12344441341320 is a `hidden beast` number, since 1 + 234 + 4 + 4 + 4 + 1 + 3 + 413 + 2 + 0 = 666.

It is a super-3 number, since 3×123444413413203 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 448206750 + ... + 448234290.

It is an arithmetic number, because the mean of its divisors is an integer number (90769825125).

Almost surely, 212344441341320 is an apocalyptic number.

12344441341320 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 12344441341320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23237075232000).

12344441341320 is an abundant number, since it is smaller than the sum of its proper divisors (34129709122680).

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

12344441341320 is a wasteful number, since it uses less digits than its factorization.

12344441341320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28902 (or 28892 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 12344441341320 its reverse (2314314444321), we get a palindrome (14658755785641).

The spelling of 12344441341320 in words is "twelve trillion, three hundred forty-four billion, four hundred forty-one million, three hundred forty-one thousand, three hundred twenty".