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14200462322640 = 24325112780364489
BaseRepresentation
bin1100111010100100110110…
…0000110010101111010000
31212021112212122011001200200
43032221031200302233100
53330130021323311030
650111334034215200
72663643460106016
oct316511540625720
955245778131620
1014200462322640
114585422859710
12171418a124500
137c0136c958c9
1437143dad88b6
151995bec46d60
hexcea4d832bd0

14200462322640 has 240 divisors, whose sum is σ = 52028008119360. Its totient is φ = 3442359121920.

The previous prime is 14200462322639. The next prime is 14200462322681. The reversal of 14200462322640 is 4622326400241.

14200462322640 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 0 + 4 + 6 + 2 + 3 + 2 + 2 + 640 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14200462322595 and 14200462322604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220167516 + ... + 220232004.

It is an arithmetic number, because the mean of its divisors is an integer number (216783367164).

Almost surely, 214200462322640 is an apocalyptic number.

14200462322640 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 14200462322640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26014004059680).

14200462322640 is an abundant number, since it is smaller than the sum of its proper divisors (37827545796720).

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

14200462322640 is a wasteful number, since it uses less digits than its factorization.

14200462322640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92322 (or 92313 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 14200462322640 its reverse (4622326400241), we get a palindrome (18822788722881).

The spelling of 14200462322640 in words is "fourteen trillion, two hundred billion, four hundred sixty-two million, three hundred twenty-two thousand, six hundred forty".