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14023030112 = 2572131993457
BaseRepresentation
bin11010000111101011…
…00111010101100000
31100012021210201221122
431003311213111200
5212204343430422
610235254111412
71004334534500
oct150365472540
940167721848
1014023030112
115a466a9093
12287434b568
131426313570
1497058da00
15571181d42
hex343d67560

14023030112 has 144 divisors (see below), whose sum is σ = 34769498400. Its totient is φ = 5518098432.

The previous prime is 14023030051. The next prime is 14023030117. The reversal of 14023030112 is 21103032041.

14023030112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14023030117) by changing a digit.

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, 4054688 + ... + 4058144.

It is an arithmetic number, because the mean of its divisors is an integer number (241454850).

Almost surely, 214023030112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14023030112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17384749200).

14023030112 is an abundant number, since it is smaller than the sum of its proper divisors (20746468288).

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

14023030112 is a wasteful number, since it uses less digits than its factorization.

14023030112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3693 (or 3678 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 14023030112 its reverse (21103032041), we get a palindrome (35126062153).

The spelling of 14023030112 in words is "fourteen billion, twenty-three million, thirty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 199 208 224 364 392 398 416 637 728 784 796 1274 1393 1456 1568 1592 2548 2587 2786 2912 3184 3457 5096 5174 5572 6368 6914 9751 10192 10348 11144 13828 18109 19502 20384 20696 22288 24199 27656 36218 39004 41392 44576 44941 48398 55312 72436 78008 82784 89882 96796 110624 126763 144872 156016 169393 179764 193592 253526 289744 312032 314587 338786 359528 387184 507052 579488 629174 677572 687943 719056 774368 1014104 1258348 1355144 1375886 1438112 2028208 2202109 2516696 2710288 2751772 4056416 4404218 4815601 5033392 5420576 5503544 8808436 8943259 9631202 10066784 11007088 17616872 17886518 19262404 22014176 33709207 35233744 35773036 38524808 62602813 67418414 70467488 71546072 77049616 125205626 134836828 143092144 154099232 250411252 269673656 286184288 438219691 500822504 539347312 876439382 1001645008 1078694624 1752878764 2003290016 3505757528 7011515056 14023030112