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14331446000 = 245360111923
BaseRepresentation
bin11010101100011100…
…01000001011110000
31100222210010220000022
431112032020023300
5213322322233000
610330032343012
71015101165254
oct152616101360
940883126008
1014331446000
116094800553
12293b6a4a68
131475199b81
1499d514264
1558d2a4585
hex3563882f0

14331446000 has 80 divisors (see below), whose sum is σ = 34714007328. Its totient is φ = 5722560000.

The previous prime is 14331445991. The next prime is 14331446009. The reversal of 14331446000 is 64413341.

It is an interprime number because it is at equal distance from previous prime (14331445991) and next prime (14331446009).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14331446009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1196039 + ... + 1207961.

Almost surely, 214331446000 is an apocalyptic number.

14331446000 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 14331446000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17357003664).

14331446000 is an abundant number, since it is smaller than the sum of its proper divisors (20382561328).

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

14331446000 is a wasteful number, since it uses less digits than its factorization.

14331446000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12547 (or 12531 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 14331446000 its reverse (64413341), we get a palindrome (14395859341).

The spelling of 14331446000 in words is "fourteen billion, three hundred thirty-one million, four hundred forty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 601 1000 1202 2000 2404 3005 4808 6010 9616 11923 12020 15025 23846 24040 30050 47692 48080 59615 60100 75125 95384 119230 120200 150250 190768 238460 240400 298075 300500 476920 596150 601000 953840 1192300 1202000 1490375 2384600 2980750 4769200 5961500 7165723 11923000 14331446 23846000 28662892 35828615 57325784 71657230 114651568 143314460 179143075 286628920 358286150 573257840 716572300 895715375 1433144600 1791430750 2866289200 3582861500 7165723000 14331446000