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14048825000 = 2355780279
BaseRepresentation
bin11010001010110000…
…00000111010101000
31100021002100020212212
431011120000322220
5212232444400000
610242015024252
71005100020320
oct150530007250
940232306785
1014048825000
115a5a217181
122880b0b088
13142b775502
14973b86280
15573579c35
hex345600ea8

14048825000 has 96 divisors (see below), whose sum is σ = 37628841600. Its totient is φ = 4816680000.

The previous prime is 14048824981. The next prime is 14048825003. The reversal of 14048825000 is 52884041.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14048825003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134861 + ... + 215139.

It is an arithmetic number, because the mean of its divisors is an integer number (391967100).

Almost surely, 214048825000 is an apocalyptic number.

14048825000 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 14048825000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18814420800).

14048825000 is an abundant number, since it is smaller than the sum of its proper divisors (23580016600).

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

14048825000 is an frugal number, since it uses more digits than its factorization.

14048825000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80317 (or 80293 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The spelling of 14048825000 in words is "fourteen billion, forty-eight million, eight hundred twenty-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 625 700 875 1000 1250 1400 1750 2500 3125 3500 4375 5000 6250 7000 8750 12500 17500 21875 25000 35000 43750 80279 87500 160558 175000 321116 401395 561953 642232 802790 1123906 1605580 2006975 2247812 2809765 3211160 4013950 4495624 5619530 8027900 10034875 11239060 14048825 16055800 20069750 22478120 28097650 40139500 50174375 56195300 70244125 80279000 100348750 112390600 140488250 200697500 250871875 280976500 351220625 401395000 501743750 561953000 702441250 1003487500 1404882500 1756103125 2006975000 2809765000 3512206250 7024412500 14048825000