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14202103040000 = 2115417416373
BaseRepresentation
bin1100111010101010111101…
…0011101000100000000000
31212021201002222110010210022
43032222233103220200000
53330141401334240000
650112204524353012
72664032232012401
oct316525723504000
955251088403708
1014202103040000
114586094a10977
1217145676a5768
137c0338b86895
1437155798b9a8
15199668cda585
hexceaaf4e8800

14202103040000 has 240 divisors, whose sum is σ = 35511183768060. Its totient is φ = 5676687360000.

The previous prime is 14202103039997. The next prime is 14202103040039. The reversal of 14202103040000 is 4030120241.

It can be written as a sum of positive squares in 10 ways, for example, as 3045220443136 + 11156882596864 = 1745056^2 + 3340192^2 .

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 19 ways as a sum of consecutive naturals, for example, 2228476814 + ... + 2228483186.

Almost surely, 214202103040000 is an apocalyptic number.

14202103040000 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 14202103040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17755591884030).

14202103040000 is an abundant number, since it is smaller than the sum of its proper divisors (21309080728060).

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

14202103040000 is an frugal number, since it uses more digits than its factorization.

14202103040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8156 (or 8121 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 14202103040000 its reverse (4030120241), we get a palindrome (14206133160241).

The spelling of 14202103040000 in words is "fourteen trillion, two hundred two billion, one hundred three million, forty thousand".