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14404304022000 = 243532400717337
BaseRepresentation
bin1101000110011100001101…
…1011001010100111110000
31220000001000201021021222120
43101213003123022213300
53342000003312201000
650345125041234240
73014451040005504
oct321470333124760
956001021237876
1014404304022000
114653916112462
121747798332980
1380642118c369
1437b25a0c4304
1519ea505c26a0
hexd19c36ca9f0

14404304022000 has 80 divisors (see below), whose sum is σ = 46439476186272. Its totient is φ = 3841147737600.

The previous prime is 14404304021983. The next prime is 14404304022001. The reversal of 14404304022000 is 22040340441.

It is a happy number.

14404304022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14404304022001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1200352669 + ... + 1200364668.

Almost surely, 214404304022000 is an apocalyptic number.

14404304022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14404304022000 is an abundant number, since it is smaller than the sum of its proper divisors (32035172164272).

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

14404304022000 is a wasteful number, since it uses less digits than its factorization.

14404304022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400717363 (or 2400717347 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 14404304022000 its reverse (22040340441), we get a palindrome (14426344362441).

The spelling of 14404304022000 in words is "fourteen trillion, four hundred four billion, three hundred four million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 2400717337 4801434674 7202152011 9602869348 12003586685 14404304022 19205738696 24007173370 28808608044 36010760055 38411477392 48014346740 57617216088 60017933425 72021520110 96028693480 115234432176 120035866850 144043040220 180053800275 192057386960 240071733700 288086080440 300089667125 360107600550 480143467400 576172160880 600179334250 720215201100 900269001375 960286934800 1200358668500 1440430402200 1800538002750 2400717337000 2880860804400 3601076005500 4801434674000 7202152011000 14404304022000