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14010533501040 = 24325231994251491
BaseRepresentation
bin1100101111100001010011…
…0111110101100001110000
31211121101122011120020201200
43023320110313311201300
53314022033034013130
645444203352331200
72644141036546116
oct313702467654160
954541564506650
1014010533501040
1145119199a894a
1216a34033a3b00
137a8259325bbb
143661833c7ab6
151946a5a40760
hexcbe14df5870

14010533501040 has 240 divisors, whose sum is σ = 49344516748800. Its totient is φ = 3555742164480.

The previous prime is 14010533501021. The next prime is 14010533501053. The reversal of 14010533501040 is 4010533501041.

It is a happy number.

14010533501040 is a `hidden beast` number, since 1 + 40 + 1 + 0 + 533 + 50 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 14010533500995 and 14010533501013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1169695 + ... + 5421185.

It is an arithmetic number, because the mean of its divisors is an integer number (205602153120).

Almost surely, 214010533501040 is an apocalyptic number.

14010533501040 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 14010533501040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24672258374400).

14010533501040 is an abundant number, since it is smaller than the sum of its proper divisors (35333983247760).

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

14010533501040 is a wasteful number, since it uses less digits than its factorization.

14010533501040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4251732 (or 4251723 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Subtracting from 14010533501040 its reverse (4010533501041), we obtain a palindrome (9999999999999).

The spelling of 14010533501040 in words is "fourteen trillion, ten billion, five hundred thirty-three million, five hundred one thousand, forty".