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14009024430 = 2325604725741
BaseRepresentation
bin11010000110000000…
…01011111110101110
31100011022110011202200
431003000023332232
5212142302240210
610234034002330
71004104512552
oct150300137656
940138404680
1014009024430
115a39802445
12286b7163a6
13142344b68b
1496c785862
1556ed170c0
hex34300bfae

14009024430 has 48 divisors (see below), whose sum is σ = 36430902144. Its totient is φ = 3734976960.

The previous prime is 14009024429. The next prime is 14009024453. The reversal of 14009024430 is 3442090041.

14009024430 is a `hidden beast` number, since 140 + 0 + 90 + 2 + 4 + 430 = 666.

14009024430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14009024394 and 14009024403.

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, 531360 + ... + 557100.

It is an arithmetic number, because the mean of its divisors is an integer number (758977128).

Almost surely, 214009024430 is an apocalyptic number.

14009024430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14009024430 is an abundant number, since it is smaller than the sum of its proper divisors (22421877714).

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

14009024430 is a wasteful number, since it uses less digits than its factorization.

14009024430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31801 (or 31798 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 14009024430 in words is "fourteen billion, nine million, twenty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 6047 12094 18141 25741 30235 36282 51482 54423 60470 77223 90705 108846 128705 154446 181410 231669 257410 272115 386115 463338 544230 772230 1158345 2316690 155655827 311311654 466967481 778279135 933934962 1400902443 1556558270 2334837405 2801804886 4669674810 7004512215 14009024430