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14022520400000 = 275572329467
BaseRepresentation
bin1100110000001101111101…
…0110001110100010000000
31211122112120120000210211102
43030003133112032202000
53314221110210300000
645453505033233532
72645044061526320
oct314033726164200
954575516023742
1014022520400000
114516a10221512
1216a57a98628a8
137a9419851518
1436699d395280
15194b580743d5
hexcc0df58e880

14022520400000 has 576 divisors, whose sum is σ = 41720142864960. Its totient is φ = 4598204160000.

The previous prime is 14022520399999. The next prime is 14022520400011. The reversal of 14022520400000 is 402522041.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1481195267 + ... + 1481204733.

It is an arithmetic number, because the mean of its divisors is an integer number (72430803585).

Almost surely, 214022520400000 is an apocalyptic number.

14022520400000 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 14022520400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20860071432480).

14022520400000 is an abundant number, since it is smaller than the sum of its proper divisors (27697622464960).

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

14022520400000 is an frugal number, since it uses more digits than its factorization.

14022520400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9559 (or 9504 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 14022520400000 its reverse (402522041), we get a palindrome (14022922922041).

The spelling of 14022520400000 in words is "fourteen trillion, twenty-two billion, five hundred twenty million, four hundred thousand".