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14243306004 = 223531472697
BaseRepresentation
bin11010100001111011…
…11001101000010100
31100202122021220200000
431100331321220110
5213132241243004
610313203251300
71012651050324
oct152075715024
940678256600
1014243306004
116049a7a684
122916079b30
13145cb49725
1499192d284
15585693c39
hex350f79a14

14243306004 has 72 divisors (see below), whose sum is σ = 38541904128. Its totient is φ = 4594605120.

The previous prime is 14243305997. The next prime is 14243306023. The reversal of 14243306004 is 40060334241.

14243306004 is a `hidden beast` number, since 1 + 4 + 24 + 3 + 30 + 600 + 4 = 666.

14243306004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×142433060043 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 206217 + ... + 266480.

It is an arithmetic number, because the mean of its divisors is an integer number (535304224).

Almost surely, 214243306004 is an apocalyptic number.

It is an amenable number.

14243306004 is an abundant number, since it is smaller than the sum of its proper divisors (24298598124).

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

14243306004 is a wasteful number, since it uses less digits than its factorization.

14243306004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472747 (or 472733 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 14243306004 in words is "fourteen billion, two hundred forty-three million, three hundred six thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 243 279 324 372 486 558 837 972 1116 1674 2511 3348 5022 7533 10044 15066 30132 472697 945394 1418091 1890788 2836182 4254273 5672364 8508546 12762819 14653607 17017092 25525638 29307214 38288457 43960821 51051276 58614428 76576914 87921642 114865371 131882463 153153828 175843284 229730742 263764926 395647389 459461484 527529852 791294778 1186942167 1582589556 2373884334 3560826501 4747768668 7121653002 14243306004