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14113028206800 = 2433522244158231
BaseRepresentation
bin1100110101011111001000…
…0010000111000011010000
31211222012012012102202221000
43031113302002013003100
53322211440210104200
650003234033502000
72654426665303215
oct315276202070320
954865165382830
1014113028206800
114551335551346
1216bb248711900
137b4b119300a3
1436b1078bbb0c
151971a3cac300
hexcd5f20870d0

14113028206800 has 240 divisors, whose sum is σ = 50235027391360. Its totient is φ = 3763241856000.

The previous prime is 14113028206799. The next prime is 14113028206801. The reversal of 14113028206800 is 860282031141.

14113028206800 is a `hidden beast` number, since 1 + 411 + 30 + 2 + 8 + 206 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14113028206799) and next prime (14113028206801).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14113028206801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242333685 + ... + 242391915.

Almost surely, 214113028206800 is an apocalyptic number.

14113028206800 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 14113028206800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25117513695680).

14113028206800 is an abundant number, since it is smaller than the sum of its proper divisors (36121999184560).

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

14113028206800 is a wasteful number, since it uses less digits than its factorization.

14113028206800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80699 (or 80682 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 14113028206800 in words is "fourteen trillion, one hundred thirteen billion, twenty-eight million, two hundred six thousand, eight hundred".