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14404404120000 = 26354235218987
BaseRepresentation
bin1101000110011100100101…
…1001000000100111000000
31220000001021200121210121220
43101213021121000213000
53342000204423320000
650345143014515040
73014453363556426
oct321471131004700
956001250553556
1014404404120000
114653967670584
121747805965a80
13806438b3864b
1437b2694dd116
1519ea592961a0
hexd19c96409c0

14404404120000 has 280 divisors, whose sum is σ = 49694953224576. Its totient is φ = 3674166144000.

The previous prime is 14404404119969. The next prime is 14404404120017. The reversal of 14404404120000 is 2140440441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 150507 + ... + 5369493.

Almost surely, 214404404120000 is an apocalyptic number.

14404404120000 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 14404404120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24847476612288).

14404404120000 is an abundant number, since it is smaller than the sum of its proper divisors (35290549104576).

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

14404404120000 is an equidigital number, since it uses as much as digits as its factorization.

14404404120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5219045 (or 5219020 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 14404404120000 its reverse (2140440441), we get a palindrome (14406544560441).

The spelling of 14404404120000 in words is "fourteen trillion, four hundred four billion, four hundred four million, one hundred twenty thousand".