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14427355600 = 245279475441
BaseRepresentation
bin11010110111110111…
…11111100111010000
31101020110121121020201
431123323333213100
5214021400334400
610343340144544
71020344333140
oct153373774720
941213547221
1014427355600
116133958889
122967838154
13148c00a908
149ac15c920
155968ec06a
hex35beff9d0

14427355600 has 120 divisors (see below), whose sum is σ = 39662515008. Its totient is φ = 4940390400.

The previous prime is 14427355597. The next prime is 14427355619. The reversal of 14427355600 is 655372441.

It is a self number, because there is not a number n which added to its sum of digits gives 14427355600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2648880 + ... + 2654320.

Almost surely, 214427355600 is an apocalyptic number.

14427355600 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 14427355600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19831257504).

14427355600 is an abundant number, since it is smaller than the sum of its proper divisors (25235159408).

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

14427355600 is a wasteful number, since it uses less digits than its factorization.

14427355600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6413 (or 6402 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The spelling of 14427355600 in words is "fourteen billion, four hundred twenty-seven million, three hundred fifty-five thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 947 1400 1894 2800 3788 4735 5441 6629 7576 9470 10882 13258 15152 18940 21764 23675 26516 27205 33145 37880 38087 43528 47350 53032 54410 66290 75760 76174 87056 94700 106064 108820 132580 136025 152348 165725 189400 190435 217640 265160 272050 304696 331450 378800 380870 435280 530320 544100 609392 662900 761740 952175 1088200 1325800 1523480 1904350 2176400 2651600 3046960 3808700 5152627 7617400 10305254 15234800 20610508 25763135 36068389 41221016 51526270 72136778 82442032 103052540 128815675 144273556 180341945 206105080 257631350 288547112 360683890 412210160 515262700 577094224 721367780 901709725 1030525400 1442735560 1803419450 2061050800 2885471120 3606838900 7213677800 14427355600