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14443421000 = 2353172929297
BaseRepresentation
bin11010111001110010…
…10001110101001000
31101021120211210211112
431130321101311020
5214040003433000
610345112345452
71020631024061
oct153471216510
941246753745
1014443421000
116141a30a78
1229710a5288
131492444178
149b0341568
15598022235
hex35ce51d48

14443421000 has 128 divisors (see below), whose sum is σ = 37020952800. Its totient is φ = 5249843200.

The previous prime is 14443420991. The next prime is 14443421009. The reversal of 14443421000 is 12434441.

It is a happy number.

14443421000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14443420991) and next prime (14443421009).

It can be written as a sum of positive squares in 16 ways, for example, as 35259844 + 14408161156 = 5938^2 + 120034^2 .

It is a super-2 number, since 2×144434210002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14443421009) 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 31 ways as a sum of consecutive naturals, for example, 478352 + ... + 507648.

Almost surely, 214443421000 is an apocalyptic number.

14443421000 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 14443421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18510476400).

14443421000 is an abundant number, since it is smaller than the sum of its proper divisors (22577531800).

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

14443421000 is a wasteful number, since it uses less digits than its factorization.

14443421000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29364 (or 29350 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 14443421000 its reverse (12434441), we get a palindrome (14455855441).

The spelling of 14443421000 in words is "fourteen billion, four hundred forty-three million, four hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 29 34 40 50 58 68 85 100 116 125 136 145 170 200 232 250 290 340 425 493 500 580 680 725 850 986 1000 1160 1450 1700 1972 2125 2465 2900 3400 3625 3944 4250 4930 5800 7250 8500 9860 12325 14500 17000 19720 24650 29000 29297 49300 58594 61625 98600 117188 123250 146485 234376 246500 292970 493000 498049 585940 732425 849613 996098 1171880 1464850 1699226 1992196 2490245 2929700 3398452 3662125 3984392 4248065 4980490 5859400 6796904 7324250 8496130 9960980 12451225 14443421 14648500 16992260 19921960 21240325 24902450 28886842 29297000 33984520 42480650 49804900 57773684 62256125 72217105 84961300 99609800 106201625 115547368 124512250 144434210 169922600 212403250 249024500 288868420 361085525 424806500 498049000 577736840 722171050 849613000 1444342100 1805427625 2888684200 3610855250 7221710500 14443421000