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14655431340 = 223251126092837
BaseRepresentation
bin11011010011000100…
…00010001010101100
31101211100210001100100
431221202002022230
5220003242300330
610422124431100
71026114053034
oct155142021254
941740701310
1014655431340
116240677530
122a100a8490
1314c7345084
149d056c8c4
155ab950060
hex3698822ac

14655431340 has 144 divisors (see below), whose sum is σ = 48531843360. Its totient is φ = 3550218240.

The previous prime is 14655431333. The next prime is 14655431363. The reversal of 14655431340 is 4313455641.

14655431340 is a `hidden beast` number, since 1 + 4 + 65 + 543 + 13 + 40 = 666.

It is a super-2 number, since 2×146554313402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14655431295 and 14655431304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5164402 + ... + 5167238.

It is an arithmetic number, because the mean of its divisors is an integer number (337026690).

Almost surely, 214655431340 is an apocalyptic number.

14655431340 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 14655431340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24265921680).

14655431340 is an abundant number, since it is smaller than the sum of its proper divisors (33876412020).

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

14655431340 is a wasteful number, since it uses less digits than its factorization.

14655431340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5472 (or 5467 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 14655431340 its reverse (4313455641), we get a palindrome (18968886981).

The spelling of 14655431340 in words is "fourteen billion, six hundred fifty-five million, four hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 2609 2837 5218 5674 7827 8511 10436 11348 13045 14185 15654 17022 23481 25533 26090 28370 28699 31207 31308 34044 39135 42555 46962 51066 52180 56740 57398 62414 78270 85110 86097 93621 93924 102132 114796 117405 124828 127665 143495 156035 156540 170220 172194 187242 234810 255330 258291 280863 286990 312070 344388 374484 430485 468105 469620 510660 516582 561726 573980 624140 860970 936210 1033164 1123452 1291455 1404315 1721940 1872420 2582910 2808630 5165820 5617260 7401733 14803466 22205199 29606932 37008665 44410398 66615597 74017330 81419063 88820796 111025995 133231194 148034660 162838126 222051990 244257189 266462388 325676252 333077985 407095315 444103980 488514378 666155970 732771567 814190630 977028756 1221285945 1332311940 1465543134 1628381260 2442571890 2931086268 3663857835 4885143780 7327715670 14655431340