13688563200000000
13,688,563,200,000,000 is an even composite number composed of six prime numbers multiplied together.
13688563200000000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 13688563200000000:
215 × 3 × 58 × 13 × 17 × 1613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 13 × 17 × 1613)See below for interesting mathematical facts about the number 13688563200000000 from the Numbermatics database.
Names of 13688563200000000
- Cardinal: 13688563200000000 can be written as Thirteen quadrillion, six hundred eighty-eight trillion, five hundred sixty-three billion, two hundred million.
Scientific notation
- Scientific notation: 1.36885632 × 1016
Factors of 13688563200000000
Divisors of 13688563200000000
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 25 26 30 32 34 39 40 48 50 51 52 60 64 65 68 75 78 80 85 96 100 102 104 120 125 128 130 136 150 156 160 170 192 195 200 204 208 221 240 250 255 256 260 272 300 312 320 325 340 375 384 390 400 408 416 425 442 480 500 510 512 520 544 600 624 625 640 650 663 680 750 768 780 800 816 832 850 884 960 975 1000 1020 1024 1040 1088 1105 1200 1248 1250 1275 1280 1300 1326 1360 1500 1536 1560 1600 1613 1625 1632 1664 1700 1768 1875 1920 1950 2000 2040 2048 2080 2125 2176 2210 2400 2496 2500 2550 2560 2600 2652 2720 3000 3072 3120 3125 3200 3226 3250 3264 3315 3328 3400 3536 3750 3840 3900 4000 4080 4096 4160 4250 4352 4420 4800 4839 4875 4992 5000 5100 5120 5200 5304 5440 5525 6000 6144 6240 6250 6375 6400 6452 6500 6528 6630 6656 6800 7072 7500 7680 7800 8000 8065 8125 8160 8192 8320 8500 8704 8840 9375 9600 9678 9750 9984 10000 10200 10240 10400 10608 10625 10880 11050 12000 12288 12480 12500 12750 12800 12904 13000 13056 13260 13312 13600 14144 15000 15360 15600 15625 16000 16130 16250 16320 16384 16575 16640 17000 17408 17680 18750 19200 19356 19500 19968 20000 20400 20480 20800 20969 21216 21250 21760 22100 24000 24195 24375 24576 24960 25000 25500 25600 25808 26000 26112 26520 26624 27200 27421 27625 28288 30000 30720 31200 31250 31875 32000 32260 32500 32640 32768 33150 33280 34000 34816 35360 37500 38400 38712 39000 39936 40000 40325 40625 40800 40960 41600 41938 42432 42500 43520 44200 46875 48000 48390 48750 49152 49920 50000 51000 51200 51616 52000 52224 53040 53125 53248 54400 54842 55250 56576 60000 61440 62400 62500 62907 63750 64000 64520 65000 65280 66300 66560 68000 69632 70720 75000 76800 77424 78000 78125 79872 80000 80650 81250 81600 81920 82263 82875 83200 83876 84864 85000 87040 88400 93750 96000 96780 97500 98304 99840 100000 102000 102400 103232 104000 104448 104845 106080 106250 106496 108800 109684 110500 113152 120000 120975 121875 122880 124800 125000 125814 127500 128000 129040 130000 130560 132600 133120 136000 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1711070400000000 2281427200000000 2737712640000000 3422140800000000 4562854400000000 6844281600000000 13688563200000000
- Sum of all divisors σ(n): 52060362954455520
- Sum of proper divisors (its aliquot sum) s(n): 38371799754455520
- 13688563200000000 is an abundant number, because the sum of its proper divisors (38371799754455520) is greater than itself. Its abundance is 24683236554455520
Bases of 13688563200000000
- Binary: 1100001010000110101100111110110000010110000000000000002
- Hexadecimal: 0x30A1ACFB058000
- Base-36: 3QS6V4D1UYO
Squares and roots of 13688563200000000
- 13688563200000000 squared (136885632000000002) is 187376762480394240000000000000000
- 13688563200000000 cubed (136885632000000003) is 2564918655424265315155968000000000000000000000000
-
The
square root of 13688563200000000 is 116998133.3184423077 -
The
cube root of 13688563200000000 is 239213.6485838163
Scales and comparisons
How big is 13688563200000000?- 13,688,563,200,000,000 seconds is equal to 435,253,968 years, 13 weeks, 1 day, 10 hours, 40 minutes.
-
To count from 1 to 13,688,563,200,000,000 would take you about one billion, three hundred five million, seven hundred sixty-one thousand, nine hundred four years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 13688563200000000 cubic inches would be around 19934.5 feet tall.
Recreational maths with 13688563200000000
- 13688563200000000 backwards is 00000000236588631
- The number of decimal digits it has is: 17
- The sum of 13688563200000000's digits is 42
- More coming soon!
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