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12013443031040 = 213511197135347
BaseRepresentation
bin1010111011010001100100…
…0000010010000000000000
31120112110210111111211120222
42232310121000102000000
53033312012403443130
641314522144522212
72346641213622563
oct256643100220000
946473714454528
1012013443031040
113911966446010
121420351920368
13691b2a7bb219
142d764d1104da
1515c76d1d5ce5
hexaed19012000

12013443031040 has 224 divisors, whose sum is σ = 31611343984704. Its totient is φ = 4346317373440.

The previous prime is 12013443030997. The next prime is 12013443031043. The reversal of 12013443031040 is 4013034431021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12013443031043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88692647 + ... + 88827993.

Almost surely, 212013443031040 is an apocalyptic number.

12013443031040 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 12013443031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15805671992352).

12013443031040 is an abundant number, since it is smaller than the sum of its proper divisors (19597900953664).

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

12013443031040 is a wasteful number, since it uses less digits than its factorization.

12013443031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135586 (or 135562 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 12013443031040 its reverse (4013034431021), we get a palindrome (16026477462061).

The spelling of 12013443031040 in words is "twelve trillion, thirteen billion, four hundred forty-three million, thirty-one thousand, forty".