13723710128128000
13,723,710,128,128,000 is an even composite number composed of seven prime numbers multiplied together.
13723710128128000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand and thirty-two divisors.
Prime factorization of 13723710128128000:
220 × 53 × 7 × 112 × 13 × 37 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 11 × 11 × 13 × 37 × 257)See below for interesting mathematical facts about the number 13723710128128000 from the Numbermatics database.
Names of 13723710128128000
- Cardinal: 13723710128128000 can be written as Thirteen quadrillion, seven hundred twenty-three trillion, seven hundred ten billion, one hundred twenty-eight million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.3723710128128 × 1016
Factors of 13723710128128000
Divisors of 13723710128128000
- Number of divisors d(n): 4032
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 32 35 37 40 44 50 52 55 56 64 65 70 74 77 80 88 91 100 104 110 112 121 125 128 130 140 143 148 154 160 175 176 182 185 200 208 220 224 242 250 256 257 259 260 275 280 286 296 308 320 325 350 352 364 370 385 400 407 416 440 448 455 481 484 500 512 514 518 520 550 560 572 592 605 616 640 650 700 704 715 728 740 770 800 814 832 847 875 880 896 910 925 962 968 1000 1001 1024 1028 1036 1040 1100 1120 1144 1184 1210 1232 1280 1285 1295 1300 1375 1400 1408 1430 1456 1480 1540 1573 1600 1625 1628 1664 1694 1750 1760 1792 1799 1820 1850 1924 1925 1936 2000 2002 2035 2048 2056 2072 2080 2200 2240 2275 2288 2368 2405 2420 2464 2560 2570 2590 2600 2750 2800 2816 2827 2849 2860 2912 2960 3025 3080 3146 3200 3250 3256 3328 3341 3367 3388 3500 3520 3575 3584 3598 3640 3700 3848 3850 3872 4000 4004 4070 4096 4112 4144 4160 4235 4400 4477 4480 4550 4576 4625 4736 4810 4840 4928 5005 5120 5140 5180 5200 5291 5500 5600 5632 5654 5698 5720 5824 5920 6050 6160 6292 6400 6425 6475 6500 6512 6656 6682 6734 6776 7000 7040 7150 7168 7196 7280 7400 7696 7700 7744 7865 8000 8008 8140 8192 8224 8288 8320 8470 8800 8954 8960 8995 9100 9152 9250 9472 9509 9620 9625 9680 9856 10010 10175 10240 10280 10360 10400 10582 11000 11011 11200 11264 11308 11375 11396 11440 11648 11840 12025 12100 12320 12584 12800 12850 12950 13000 13024 13312 13364 13468 13552 14000 14080 14135 14245 14300 14336 14392 14560 14800 15125 15392 15400 15488 15730 16000 16016 16280 16384 16448 16576 16640 16705 16835 16940 17600 17875 17908 17920 17990 18200 18304 18500 18944 19018 19240 19250 19360 19712 19789 20020 20350 20480 20560 20720 20800 21164 21175 22000 22022 22385 22400 22528 22616 22750 22792 22880 23296 23387 23680 24050 24200 24640 25025 25168 25600 25700 25900 26000 26048 26455 26624 26728 26936 27104 28000 28160 28270 28490 28600 28672 28784 29120 29600 30250 30784 30800 30976 31097 31339 31460 32000 32032 32125 32375 32560 32768 32896 33152 33280 33410 33670 33880 35200 35750 35816 35840 35980 36400 36608 36751 37000 37037 37888 38036 38480 38500 38720 39325 39424 39578 40040 40700 40960 41120 41440 41600 42328 42350 44000 44044 44770 44800 44975 45056 45232 45500 45584 45760 46592 46774 47360 47545 48100 48400 49280 50050 50336 50875 51200 51400 51800 52000 52096 52910 53248 53456 53872 54208 55055 56000 56320 56540 56980 57200 57344 57568 58201 58240 59200 60125 60500 61568 61600 61952 62194 62678 62920 64000 64064 64250 64750 65120 65536 65792 66304 66560 66563 66820 67340 67760 70400 70675 71225 71500 71632 71680 71960 72800 73216 73502 74000 74074 75776 76072 76960 77000 77440 78650 78848 79156 80080 81400 81920 82240 82880 83200 83525 84175 84656 84700 88000 88088 89540 89600 89950 90112 90464 91000 91168 91520 93184 93548 94720 95090 96200 96800 98560 98945 100100 100672 101750 102400 102800 103600 104000 104192 104599 105820 105875 106496 106912 107744 108416 110110 111925 112000 112640 113080 113960 114400 114688 115136 116402 116480 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- Sum of all divisors σ(n): 47777923025973504
- Sum of proper divisors (its aliquot sum) s(n): 34054212897845504
- 13723710128128000 is an abundant number, because the sum of its proper divisors (34054212897845504) is greater than itself. Its abundance is 20330502769717504
Bases of 13723710128128000
- Binary: 1100001100000110100100010000110011000000000000000000002
- Hexadecimal: 0x30C1A443300000
- Base-36: 3R4NDEALBLS
Squares and roots of 13723710128128000
- 13723710128128000 squared (137237101281280002) is 188340219680883046176784384000000
- 13723710128128000 cubed (137237101281280003) is 2584726580368387136918980559083669553152000000000
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The
square root of 13723710128128000 is 117148239.9702530743 -
The
cube root of 13723710128128000 is 239418.2096030377
Scales and comparisons
How big is 13723710128128000?- 13,723,710,128,128,000 seconds is equal to 436,371,531 years, 44 weeks, 2 days, 1 hour, 46 minutes, 40 seconds.
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To count from 1 to 13,723,710,128,128,000 would take you about one billion, three hundred nine million, one hundred fourteen thousand, five hundred ninety-five 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 13723710128128000 cubic inches would be around 19951.5 feet tall.
Recreational maths with 13723710128128000
- 13723710128128000 backwards is 00082182101732731
- The number of decimal digits it has is: 17
- The sum of 13723710128128000's digits is 46
- More coming soon!
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The information we have on file for 13723710128128000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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