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14273314224016 = 24292325692
BaseRepresentation
bin1100111110110100001111…
…0100101111011110010000
31212112111220210212002210011
43033231003310233132100
53332323221420132031
650205023043244304
73002133014050651
oct317550364573620
955474823762704
1014273314224016
114603307858471
121726320079694
137c6c77210163
14374b913a5528
1519b4358e56b1
hexcfb43d2f790

14273314224016 has 45 divisors (see below), whose sum is σ = 28641913709331. Its totient is φ = 6890353919232.

The previous prime is 14273314223957. The next prime is 14273314224067. The reversal of 14273314224016 is 61042241337241.

The square root of 14273314224016 is 3778004.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5442907664016 + 8830406560000 = 2333004^2 + 2971600^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14273314224016.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 438232180 + ... + 438264748.

Almost surely, 214273314224016 is an apocalyptic number.

14273314224016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14273314224016 is the 3778004-th square number.

It is an amenable number.

14273314224016 is an abundant number, since it is smaller than the sum of its proper divisors (14368599485315).

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

14273314224016 is an frugal number, since it uses more digits than its factorization.

14273314224016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65204 (or 32600 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 14273314224016 in words is "fourteen trillion, two hundred seventy-three billion, three hundred fourteen million, two hundred twenty-four thousand, sixteen".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 1682 3364 6728 13456 32569 65138 130276 260552 521104 944501 1889002 3778004 7556008 15112016 27390529 54781058 109562116 219124232 438248464 1060739761 2121479522 4242959044 8485918088 16971836176 30761453069 61522906138 123045812276 246091624552 492183249104 892082139001 1784164278002 3568328556004 7136657112008 14273314224016