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14311132044000 = 2535311195706193
BaseRepresentation
bin1101000001000001000111…
…1100010001101011100000
31212200010112101202102001120
43100100101330101223200
53333433144300402000
650234235430332240
73004642123161621
oct320202174215340
955603471672046
1014311132044000
114618353a48350
1217317151ba080
137ca6c316012c
1437693bc13a48
1519c3eaa306a0
hexd0411f11ae0

14311132044000 has 384 divisors, whose sum is σ = 53837255646720. Its totient is φ = 3286766592000.

The previous prime is 14311132043863. The next prime is 14311132044089. The reversal of 14311132044000 is 44023111341.

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 63 ways as a sum of consecutive naturals, for example, 345097 + ... + 5361096.

It is an arithmetic number, because the mean of its divisors is an integer number (140201186580).

Almost surely, 214311132044000 is an apocalyptic number.

14311132044000 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 14311132044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26918627823360).

14311132044000 is an abundant number, since it is smaller than the sum of its proper divisors (39526123602720).

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

14311132044000 is a wasteful number, since it uses less digits than its factorization.

14311132044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5706251 (or 5706233 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14311132044000 its reverse (44023111341), we get a palindrome (14355155155341).

The spelling of 14311132044000 in words is "fourteen trillion, three hundred eleven billion, one hundred thirty-two million, forty-four thousand".