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14035360000 = 285487721
BaseRepresentation
bin11010001001001001…
…01001100100000000
31100020011000011101011
431010210221210000
5212221023010000
610240414250304
71004544406624
oct150444514400
940204004334
1014035360000
115a5265a782
1228784b6994
131428a3c75c
1497207d184
155722ba2ba
hex344929900

14035360000 has 90 divisors (see below), whose sum is σ = 35009060702. Its totient is φ = 5614080000.

The previous prime is 14035359991. The next prime is 14035360037. The reversal of 14035360000 is 6353041.

It can be written as a sum of positive squares in 5 ways, for example, as 6887672064 + 7147687936 = 82992^2 + 84544^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 116140 + ... + 203860.

Almost surely, 214035360000 is an apocalyptic number.

14035360000 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 14035360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17504530351).

14035360000 is an abundant number, since it is smaller than the sum of its proper divisors (20973700702).

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

14035360000 is an frugal number, since it uses more digits than its factorization.

14035360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87757 (or 87728 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The spelling of 14035360000 in words is "fourteen billion, thirty-five million, three hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3200 4000 5000 6400 8000 10000 16000 20000 32000 40000 80000 87721 160000 175442 350884 438605 701768 877210 1403536 1754420 2193025 2807072 3508840 4386050 5614144 7017680 8772100 10965125 11228288 14035360 17544200 21930250 22456576 28070720 35088400 43860500 54825625 56141440 70176800 87721000 109651250 112282880 140353600 175442000 219302500 280707200 350884000 438605000 561414400 701768000 877210000 1403536000 1754420000 2807072000 3508840000 7017680000 14035360000