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14130443304340 = 225113071579132499
BaseRepresentation
bin1100110110100000000000…
…0011011011110110010100
31212000212010220000101121121
43031220000003123312110
53323003121441214330
650015234103453324
72655614362216306
oct315500003336624
955025126011547
1014130443304340
114558761957940
1217026a8a57244
137b665891c92c
1436bcba771976
15197872b2b17a
hexcda000dbd94

14130443304340 has 96 divisors (see below), whose sum is σ = 32497819200000. Its totient is φ = 5118323541120.

The previous prime is 14130443304331. The next prime is 14130443304379. The reversal of 14130443304340 is 4340334403141.

It is a junction number, because it is equal to n+sod(n) for n = 14130443304296 and 14130443304305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106579411 + ... + 106711909.

It is an arithmetic number, because the mean of its divisors is an integer number (338518950000).

Almost surely, 214130443304340 is an apocalyptic number.

14130443304340 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 14130443304340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16248909600000).

14130443304340 is an abundant number, since it is smaller than the sum of its proper divisors (18367375895660).

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

14130443304340 is a wasteful number, since it uses less digits than its factorization.

14130443304340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134405 (or 134403 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 14130443304340 its reverse (4340334403141), we get a palindrome (18470777707481).

The spelling of 14130443304340 in words is "fourteen trillion, one hundred thirty billion, four hundred forty-three million, three hundred four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 307 614 1228 1535 1579 3070 3158 3377 6140 6316 6754 7895 13508 15790 16885 17369 31580 33770 34738 67540 69476 86845 132499 173690 264998 347380 484753 529996 662495 969506 1324990 1457489 1939012 2423765 2649980 2914978 4847530 5332283 5829956 7287445 9695060 10664566 14574890 21329132 26661415 29149780 40677193 53322830 81354386 106645660 162708772 203385965 209215921 406771930 418431842 447449123 813543860 836863684 894898246 1046079605 1789796492 2092159210 2237245615 2301375131 4184318420 4474491230 4602750262 8948982460 9205500524 11506875655 23013751310 46027502620 64229287747 128458575494 256917150988 321146438735 642292877470 706522165217 1284585754940 1413044330434 2826088660868 3532610826085 7065221652170 14130443304340