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14028081600 = 2635213217293
BaseRepresentation
bin11010001000010001…
…11000100111000000
31100012122022101021210
431010020320213000
5212212142102400
610235554250120
71004425504041
oct150410704700
940178271253
1014028081600
115a49539375
122875b86940
131427391900
149711068c8
1557182d950
hex3442389c0

14028081600 has 252 divisors, whose sum is σ = 49839301896. Its totient is φ = 3452866560.

The previous prime is 14028081583. The next prime is 14028081623. The reversal of 14028081600 is 618082041.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 802554 + ... + 819846.

Almost surely, 214028081600 is an apocalyptic number.

14028081600 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 14028081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24919650948).

14028081600 is an abundant number, since it is smaller than the sum of its proper divisors (35811220296).

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

14028081600 is a wasteful number, since it uses less digits than its factorization.

14028081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17344 (or 17316 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The spelling of 14028081600 in words is "fourteen billion, twenty-eight million, eighty-one thousand, six hundred".