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14452205120400 = 2435212043504267
BaseRepresentation
bin1101001001001110101010…
…0011010110101110010000
31220011121200000122012220010
43102103222203112232100
53343241104002323100
650423130144114520
73021065054430555
oct322235243265620
956147600565803
1014452205120400
114672167027693
121754b26305a40
1380aab6137178
1437d6c1b72a2c
151a0e05a6a750
hexd24ea8d6b90

14452205120400 has 60 divisors (see below), whose sum is σ = 46295230406192. Its totient is φ = 3853921365120.

The previous prime is 14452205120357. The next prime is 14452205120413. The reversal of 14452205120400 is 402150225441.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6021750934 + ... + 6021753333.

Almost surely, 214452205120400 is an apocalyptic number.

14452205120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14452205120400 is an abundant number, since it is smaller than the sum of its proper divisors (31843025285792).

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

14452205120400 is a wasteful number, since it uses less digits than its factorization.

14452205120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12043504288 (or 12043504277 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 14452205120400 its reverse (402150225441), we get a palindrome (14854355345841).

The spelling of 14452205120400 in words is "fourteen trillion, four hundred fifty-two billion, two hundred five million, one hundred twenty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 12043504267 24087008534 36130512801 48174017068 60217521335 72261025602 96348034136 120435042670 144522051204 180652564005 192696068272 240870085340 289044102408 301087606675 361305128010 481740170680 578088204816 602175213350 722610256020 903262820025 963480341360 1204350426700 1445220512040 1806525640050 2408700853400 2890441024080 3613051280100 4817401706800 7226102560200 14452205120400