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14203923840 = 2732512719417
BaseRepresentation
bin11010011101001111…
…01010110110000000
31100122220012002111100
431032213222312000
5213042201030330
610305235214400
71011662234451
oct151647526600
940586162440
1014203923840
116029821237
122904a47400
13145493b182
1498a5db128
15581eb5060
hex34e9ead80

14203923840 has 192 divisors, whose sum is σ = 49436674560. Its totient is φ = 3757694976.

The previous prime is 14203923823. The next prime is 14203923857. The reversal of 14203923840 is 4832930241.

14203923840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14203923823) and next prime (14203923857).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 14203923795 and 14203923804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 721812 + ... + 741228.

It is an arithmetic number, because the mean of its divisors is an integer number (257482680).

Almost surely, 214203923840 is an apocalyptic number.

14203923840 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 14203923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24718337280).

14203923840 is an abundant number, since it is smaller than the sum of its proper divisors (35232750720).

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

14203923840 is a wasteful number, since it uses less digits than its factorization.

14203923840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19569 (or 19554 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 14203923840 in words is "fourteen billion, two hundred three million, nine hundred twenty-three thousand, eight hundred forty".