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14453651814 = 2372127521743
BaseRepresentation
bin11010111011000000…
…10011100101100110
31101022022002120212120
431131200103211212
5214100113324224
610350115530410
71021114004400
oct153540234546
941268076776
1014453651814
116147789598
1229745b9a06
1314945b6ac4
149b1845b70
15598d93779
hex35d813966

14453651814 has 96 divisors (see below), whose sum is σ = 34002395136. Its totient is φ = 4083730560.

The previous prime is 14453651803. The next prime is 14453651867. The reversal of 14453651814 is 41815635441.

14453651814 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 19452727 + ... + 19453469.

It is an arithmetic number, because the mean of its divisors is an integer number (354191616).

Almost surely, 214453651814 is an apocalyptic number.

14453651814 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14453651814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17001197568).

14453651814 is an abundant number, since it is smaller than the sum of its proper divisors (19548743322).

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

14453651814 is a wasteful number, since it uses less digits than its factorization.

14453651814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1403 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The spelling of 14453651814 in words is "fourteen billion, four hundred fifty-three million, six hundred fifty-one thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 127 147 254 294 381 521 743 762 889 1042 1486 1563 1778 2229 2667 3126 3647 4458 5201 5334 6223 7294 10402 10941 12446 15603 18669 21882 25529 31206 36407 37338 51058 66167 72814 76587 94361 109221 132334 153174 188722 198501 218442 283083 387103 397002 463169 566166 660527 774206 926338 1161309 1321054 1389507 1981581 2322618 2709721 2779014 3242183 3963162 4623689 5419442 6484366 8129163 9247378 9726549 13871067 16258326 18968047 19453098 27742134 37936094 49162081 56904141 98324162 113808282 147486243 294972486 344134567 688269134 1032403701 2064807402 2408941969 4817883938 7226825907 14453651814