13688640564307200
13,688,640,564,307,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 13688640564307200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2592 divisors.
13688640564307200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 13688640564307200:
28 × 32 × 52 × 173 × 53 × 973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 17 × 17 × 17 × 53 × 97 × 97 × 97)See below for interesting mathematical facts about the number 13688640564307200 from the Numbermatics database.
Names of 13688640564307200
- Cardinal: 13688640564307200 can be written as Thirteen quadrillion, six hundred eighty-eight trillion, six hundred forty billion, five hundred sixty-four million, three hundred seven thousand, two hundred.
Scientific notation
- Scientific notation: 1.36886405643072 × 1016
Factors of 13688640564307200
Divisors of 13688640564307200
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 30 32 34 36 40 45 48 50 51 53 60 64 68 72 75 80 85 90 96 97 100 102 106 120 128 136 144 150 153 159 160 170 180 192 194 200 204 212 225 240 255 256 265 272 288 289 291 300 306 318 320 340 360 384 388 400 408 424 425 450 477 480 485 510 530 544 576 578 582 600 612 636 640 680 720 765 768 776 795 800 816 848 850 867 873 900 901 954 960 970 1020 1060 1088 1152 1156 1164 1200 1224 1272 1275 1280 1325 1360 1440 1445 1455 1530 1552 1590 1600 1632 1649 1696 1700 1734 1746 1800 1802 1908 1920 1940 2040 2120 2176 2304 2312 2328 2385 2400 2425 2448 2544 2550 2601 2650 2703 2720 2880 2890 2910 3060 3104 3180 3200 3264 3298 3392 3400 3468 3492 3600 3604 3816 3825 3840 3880 3975 4080 4240 4335 4352 4365 4505 4624 4656 4770 4800 4850 4896 4913 4947 5088 5100 5141 5202 5300 5406 5440 5760 5780 5820 6120 6208 6360 6400 6528 6596 6784 6800 6936 6984 7200 7208 7225 7275 7632 7650 7760 7950 8109 8160 8245 8480 8670 8730 9010 9248 9312 9409 9540 9600 9700 9792 9826 9894 10176 10200 10282 10404 10600 10812 10880 11520 11560 11640 11925 12240 12416 12720 13005 13056 13192 13515 13568 13600 13872 13968 14400 14416 14450 14550 14739 14841 15264 15300 15317 15423 15520 15900 16218 16320 16490 16960 17340 17460 18020 18496 18624 18818 19080 19200 19400 19584 19652 19788 20352 20400 20564 20808 21200 21624 21675 21760 21825 22525 23120 23280 23850 24480 24565 24735 24832 25440 25705 26010 26384 27030 27200 27744 27936 28033 28227 28800 28832 28900 29100 29478 29682 30528 30600 30634 30846 31040 31800 32436 32640 32980 33920 34680 34920 36040 36992 37248 37636 38160 38800 39168 39304 39576 40545 40704 40800 41128 41225 41616 42400 43248 43350 43650 44217 45050 45951 46240 46269 46560 47045 47700 48960 49130 49470 50880 51410 52020 52768 54060 54400 55488 55872 56066 56454 57600 57664 57800 58200 58956 59364 61056 61200 61268 61692 62080 63600 64872 65025 65280 65960 67575 67840 69360 69840 72080 73695 73984 74205 74496 75272 76320 76585 77115 77600 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896792489800 922352979200 928736044800 940800038784 947310765696 949544989200 950600039188 980000040400 986782047600 1006517688552 1008891551025 1012847988480 1037647101600 1048455925575 1052567517440 1076150987760 1102500045450 1118352987280 1147894386944 1176000048480 1184138457120 1188250048985 1258147110690 1266059985600 1291381185312 1315709396800 1331320809600 1342023584736 1345188734700 1383529468800 1393104067200 1397941234100 1411200058176 1425900058782 1434867983680 1454845420800 1470000060600 1480173071400 1519271982720 1568000064640 1578851276160 1614226481640 1660235362560 1677529480920 1688079980800 1721841580416 1764000072720 1789364779648 1793584979600 1881600077568 1894621531392 1899089978400 1901200078376 1960000080800 1973564095200 2013035377104 2017783102050 2075294203200 2096911851150 2138850088173 2152301975520 2205000090900 2236705974560 2352000096960 2368276914240 2376500097970 2516294221380 2532119971200 2582762370624 2631418793600 2662641619200 2684047169472 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10694250440865 10736188677888 10761509877600 11183529872800 11407200470256 11760000484800 11841384571200 11882500489850 12581471106900 12913811853120 13420235847360 14112000581760 14259000587820 14348679836800 15192719827200 15209600627008 15680000646400 15788512761600 16104283016832 16142264816400 16775294809200 17110800705384 17218415804160 17640000727200 17823750734775 17893647796480 19012000783760 20130353771040 21388500881730 21523019755200 22367059745600 22814400940512 23520000969600 23682769142400 23765000979700 25162942213800 25827623706240 26840471694720 28224001163520 28518001175640 28697359673600 30419201254016 32208566033664 32284529632800 33550589618400 34221601410768 35280001454400 35647501469550 38024001567520 40260707542080 42777001763460 43046039510400 44734119491200 45628801881024 47040001939200 47365538284800 47530001959400 50325884427600 51655247412480 53471252204325 53680943389440 57036002351280 60838402508032 64569059265600 67101179236800 68443202821536 70560002908800 71295002939100 76048003135040 80521415084160 85554003526920 86092079020800 89468238982400 91257603762048 95060003918800 100651768855200 106942504408650 114072004702560 129138118531200 134202358473600 136886405643072 141120005817600 142590005878200 152096006270080 161042830168320 171108007053840 182515207524096 190120007837600 201303537710400 213885008817300 228144009405120 258276237062400 268404716947200 273772811286144 285180011756400 304192012540160 342216014107680 380240015675200 402607075420800 427770017634600 456288018810240 547545622572288 570360023512800 684432028215360 760480031350400 805214150841600 855540035269200 912576037620480 1140720047025600 1368864056430720 1520960062700800 1711080070538400 2281440094051200 2737728112861440 3422160141076800 4562880188102400 6844320282153600 13688640564307200
- Sum of all divisors σ(n): 53531068015807200
- Sum of proper divisors (its aliquot sum) s(n): 39842427451500000
- 13688640564307200 is an abundant number, because the sum of its proper divisors (39842427451500000) is greater than itself. Its abundance is 26153786887192800
Bases of 13688640564307200
- Binary: 1100001010000110111110111111100100101100100101000000002
- Hexadecimal: 0x30A1BEFE4B2500
- Base-36: 3QS7UNTRGG0
Squares and roots of 13688640564307200
- 13688640564307200 squared (136886405643072002) is 187378880498796538858615971840000
- 13688640564307200 cubed (136886405643072003) is 2564962144490297647092083149764672544309248000000
-
The
square root of 13688640564307200 is 116998463.9399475193 -
The
cube root of 13688640564307200 is 239214.0992413727
Scales and comparisons
How big is 13688640564307200?- 13,688,640,564,307,200 seconds is equal to 435,256,428 years, 10 weeks, 2 days, 16 hours.
-
To count from 1 to 13,688,640,564,307,200 would take you about one billion, three hundred five million, seven hundred sixty-nine thousand, two hundred eighty-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 13688640564307200 cubic inches would be around 19934.5 feet tall.
Recreational maths with 13688640564307200
- 13688640564307200 backwards is 00270346504688631
- The number of decimal digits it has is: 17
- The sum of 13688640564307200's digits is 63
- More coming soon!
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Cite this page
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"Number 13688640564307200 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 13688640564307200 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/13688640564307200/
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The information we have on file for 13688640564307200 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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