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14479429230 = 23257191120331
BaseRepresentation
bin11010111110000101…
…01000111001101110
31101101002121012211200
431133002220321232
5214123213213410
610352440230330
71021546055250
oct153702507156
941332535750
1014479429230
116160295542
12298116b3a6
131499a40b06
149b5035cd0
1559b2863c0
hex35f0a8e6e

14479429230 has 96 divisors (see below), whose sum is σ = 43250208768. Its totient is φ = 3292228800.

The previous prime is 14479429229. The next prime is 14479429247. The reversal of 14479429230 is 3292497441.

14479429230 is a `hidden beast` number, since 1 + 447 + 94 + 2 + 92 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60165 + ... + 180495.

It is an arithmetic number, because the mean of its divisors is an integer number (450523008).

Almost surely, 214479429230 is an apocalyptic number.

14479429230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 120330×120331.

It is a practical number, because each smaller number is the sum of distinct divisors of 14479429230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21625104384).

14479429230 is an abundant number, since it is smaller than the sum of its proper divisors (28770779538).

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

14479429230 is a wasteful number, since it uses less digits than its factorization.

14479429230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120542 (or 120539 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 14479429230 in words is "fourteen billion, four hundred seventy-nine million, four hundred twenty-nine thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 191 210 315 382 573 630 955 1146 1337 1719 1910 2674 2865 3438 4011 5730 6685 8022 8595 12033 13370 17190 20055 24066 40110 60165 120330 120331 240662 360993 601655 721986 842317 1082979 1203310 1684634 1804965 2165958 2526951 3609930 4211585 5053902 5414895 7580853 8423170 10829790 12634755 15161706 22983221 25269510 37904265 45966442 68949663 75808530 114916105 137899326 160882547 206848989 229832210 321765094 344748315 413697978 482647641 689496630 804412735 965295282 1034244945 1447942923 1608825470 2068489890 2413238205 2895885846 4826476410 7239714615 14479429230