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14278248000 = 26335366103
BaseRepresentation
bin11010100110000110…
…01100011001000000
31100212002001011002000
431103003030121000
5213220212414000
610320452224000
71013554051122
oct152303143100
940762034060
1014278248000
116067776065
12292590b000
131467161c73
14996427212
15588797000
hex3530cc640

14278248000 has 224 divisors, whose sum is σ = 52386097920. Its totient is φ = 3807475200.

The previous prime is 14278247999. The next prime is 14278248011. The reversal of 14278248000 is 84287241.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 182949 + ... + 249051.

Almost surely, 214278248000 is an apocalyptic number.

14278248000 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 14278248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26193048960).

14278248000 is an abundant number, since it is smaller than the sum of its proper divisors (38107849920).

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

14278248000 is an equidigital number, since it uses as much as digits as its factorization.

14278248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66139 (or 66113 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 14278248000 in words is "fourteen billion, two hundred seventy-eight million, two hundred forty-eight thousand".