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14443430000 = 24541638861
BaseRepresentation
bin11010111001110010…
…10100000001110000
31101021120212021011212
431130321110001300
5214040004230000
610345112455252
71020631062236
oct153471240160
941246767155
1014443430000
116141a3780a
1229710aa528
1314924482ac
149b0344956
15598024c35
hex35ce54070

14443430000 has 100 divisors (see below), whose sum is σ = 35187492648. Its totient is φ = 5741280000.

The previous prime is 14443429997. The next prime is 14443430009. The reversal of 14443430000 is 3434441.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×144434300002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14443430009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1625570 + ... + 1634430.

Almost surely, 214443430000 is an apocalyptic number.

14443430000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14443430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17593746324).

14443430000 is an abundant number, since it is smaller than the sum of its proper divisors (20744062648).

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

14443430000 is an equidigital number, since it uses as much as digits as its factorization.

14443430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9052 (or 9031 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 14443430000 its reverse (3434441), we get a palindrome (14446864441).

The spelling of 14443430000 in words is "fourteen billion, four hundred forty-three million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 163 200 250 326 400 500 625 652 815 1000 1250 1304 1630 2000 2500 2608 3260 4075 5000 6520 8150 8861 10000 13040 16300 17722 20375 32600 35444 40750 44305 65200 70888 81500 88610 101875 141776 163000 177220 203750 221525 326000 354440 407500 443050 708880 815000 886100 1107625 1444343 1630000 1772200 2215250 2888686 3544400 4430500 5538125 5777372 7221715 8861000 11076250 11554744 14443430 17722000 22152500 23109488 28886860 36108575 44305000 57773720 72217150 88610000 115547440 144434300 180542875 288868600 361085750 577737200 722171500 902714375 1444343000 1805428750 2888686000 3610857500 7221715000 14443430000