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14048860800 = 2735213112571
BaseRepresentation
bin11010001010110000…
…01001101010000000
31100021002102001222210
431011120021222000
5212233002021200
610242015502120
71005100226562
oct150530115200
940232361883
1014048860800
115a5a241067
122880b27940
13142b7888b0
14973b95332
15573585650
hex345609a80

14048860800 has 192 divisors, whose sum is σ = 49833372960. Its totient is φ = 3458150400.

The previous prime is 14048860783. The next prime is 14048860811. The reversal of 14048860800 is 806884041.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68515 + ... + 181085.

Almost surely, 214048860800 is an apocalyptic number.

14048860800 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 14048860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24916686480).

14048860800 is an abundant number, since it is smaller than the sum of its proper divisors (35784512160).

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

14048860800 is a wasteful number, since it uses less digits than its factorization.

14048860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112611 (or 112594 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 14048860800 in words is "fourteen billion, forty-eight million, eight hundred sixty thousand, eight hundred".