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14001300443000 = 23531331593471697
BaseRepresentation
bin1100101110111110111010…
…0010100000111101111000
31211120111210200221022012002
43023233232202200331320
53313344130403134000
645440035244040132
72643363164054423
oct313575642407570
954514720838162
1014001300443000
114508a110a5772
1216a1667233048
137a74174b5750
143659490669ba
151943151798d5
hexcbbee8a0f78

14001300443000 has 512 divisors, whose sum is σ = 37167388876800. Its totient is φ = 4901087232000.

The previous prime is 14001300442993. The next prime is 14001300443029. The reversal of 14001300443000 is 34400310041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 8250618152 + ... + 8250619848.

It is an arithmetic number, because the mean of its divisors is an integer number (72592556400).

Almost surely, 214001300443000 is an apocalyptic number.

14001300443000 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 14001300443000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18583694438400).

14001300443000 is an abundant number, since it is smaller than the sum of its proper divisors (23166088433800).

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

14001300443000 is a wasteful number, since it uses less digits than its factorization.

14001300443000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 14001300443000 its reverse (34400310041), we get a palindrome (14035700753041).

The spelling of 14001300443000 in words is "fourteen trillion, one billion, three hundred million, four hundred forty-three thousand".