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14665566413340 = 22335375914838389
BaseRepresentation
bin1101010101101001011111…
…1000000110001000011100
31220221000101112112220121000
43111122113320012020130
53410240040000211330
651105133533110300
73042360256462443
oct325322770061034
956830345486530
1014665566413340
1147446a4a00a47
12178a350628390
13824c5963642b
14389b62589d5a
151a674200b560
hexd5697e0621c

14665566413340 has 384 divisors, whose sum is σ = 47691391104000. Its totient is φ = 3737658442752.

The previous prime is 14665566413273. The next prime is 14665566413353. The reversal of 14665566413340 is 4331466556641.

It is a happy number.

14665566413340 is a `hidden beast` number, since 1 + 4 + 6 + 6 + 5 + 566 + 4 + 1 + 33 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1748185866 + ... + 1748194254.

It is an arithmetic number, because the mean of its divisors is an integer number (124196331000).

Almost surely, 214665566413340 is an apocalyptic number.

14665566413340 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 14665566413340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23845695552000).

14665566413340 is an abundant number, since it is smaller than the sum of its proper divisors (33025824690660).

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

14665566413340 is a wasteful number, since it uses less digits than its factorization.

14665566413340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9986 (or 9978 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 14665566413340 in words is "fourteen trillion, six hundred sixty-five billion, five hundred sixty-six million, four hundred thirteen thousand, three hundred forty".