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14148703800 = 233252711313789
BaseRepresentation
bin11010010110101010…
…00001011000111000
31100112001021121211200
431023111001120320
5212434032010200
610255543454200
71010421666210
oct151325013070
940461247750
1014148703800
116000635640
1228aa457360
131446375aaa
14983145240
1557c208800
hex34b541638

14148703800 has 1152 divisors, whose sum is σ = 63510220800. Its totient is φ = 2737152000.

The previous prime is 14148703787. The next prime is 14148703841. The reversal of 14148703800 is 830784141.

14148703800 is a `hidden beast` number, since 141 + 487 + 0 + 38 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 158974156 + ... + 158974244.

It is an arithmetic number, because the mean of its divisors is an integer number (55130400).

Almost surely, 214148703800 is an apocalyptic number.

14148703800 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 14148703800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31755110400).

14148703800 is an abundant number, since it is smaller than the sum of its proper divisors (49361517000).

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

14148703800 is a wasteful number, since it uses less digits than its factorization.

14148703800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 14148703800 in words is "fourteen billion, one hundred forty-eight million, seven hundred three thousand, eight hundred".