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14240243000 = 2353234115101
BaseRepresentation
bin11010100001100100…
…01101110100111000
31100202102112022000102
431100302031310320
5213131000234000
610313013454532
71012613032304
oct152062156470
940672468012
1014240243000
116048278375
122915041448
13145c3164b9
14991372d04
1558528b3d5
hex350c8dd38

14240243000 has 128 divisors (see below), whose sum is σ = 35621389440. Its totient is φ = 5315200000.

The previous prime is 14240242993. The next prime is 14240243029. The reversal of 14240243000 is 34204241.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 935450 + ... + 950550.

It is an arithmetic number, because the mean of its divisors is an integer number (278292105).

Almost surely, 214240243000 is an apocalyptic number.

14240243000 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 14240243000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17810694720).

14240243000 is an abundant number, since it is smaller than the sum of its proper divisors (21381146440).

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

14240243000 is a wasteful number, since it uses less digits than its factorization.

14240243000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15186 (or 15172 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 14240243000 its reverse (34204241), we get a palindrome (14274447241).

The spelling of 14240243000 in words is "fourteen billion, two hundred forty million, two hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 41 46 50 82 92 100 115 125 164 184 200 205 230 250 328 410 460 500 575 820 920 943 1000 1025 1150 1640 1886 2050 2300 2875 3772 4100 4600 4715 5125 5750 7544 8200 9430 10250 11500 15101 18860 20500 23000 23575 30202 37720 41000 47150 60404 75505 94300 117875 120808 151010 188600 235750 302020 347323 377525 471500 604040 619141 694646 755050 943000 1238282 1389292 1510100 1736615 1887625 2476564 2778584 3020200 3095705 3473230 3775250 4953128 6191410 6946460 7550500 8683075 12382820 13892920 14240243 15101000 15478525 17366150 24765640 28480486 30957050 34732300 43415375 56960972 61914100 69464600 71201215 77392625 86830750 113921944 123828200 142402430 154785250 173661500 284804860 309570500 347323000 356006075 569609720 619141000 712012150 1424024300 1780030375 2848048600 3560060750 7120121500 14240243000