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14011000004320 = 2551110194783231
BaseRepresentation
bin1100101111100011000010…
…1011011001111011100000
31211121102211200101001220221
43023320300223121323200
53314024012000114240
645444321535212424
72644155433012024
oct313706053317340
954542750331827
1014011000004320
114512039266750
1216a3513677114
137a8301b80547
143661c9340384
151946d198da4a
hexcbe30ad9ee0

14011000004320 has 192 divisors, whose sum is σ = 36506641876992. Its totient is φ = 5039077120000.

The previous prime is 14011000004311. The next prime is 14011000004327. The reversal of 14011000004320 is 2340000011041.

It is a super-3 number, since 3×140110000043203 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 14011000004294 and 14011000004303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14011000004327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 168297105 + ... + 168380335.

It is an arithmetic number, because the mean of its divisors is an integer number (190138759776).

Almost surely, 214011000004320 is an apocalyptic number.

14011000004320 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 14011000004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18253320938496).

14011000004320 is an abundant number, since it is smaller than the sum of its proper divisors (22495641872672).

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

14011000004320 is a wasteful number, since it uses less digits than its factorization.

14011000004320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84305 (or 84297 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 14011000004320 its reverse (2340000011041), we get a palindrome (16351000015361).

The spelling of 14011000004320 in words is "fourteen trillion, eleven billion, four thousand, three hundred twenty".