13006413829976883200
13,006,413,829,976,883,200 is an even composite number composed of five prime numbers multiplied together.
13006413829976883200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 13006413829976883200:
223 × 52 × 193 × 312 × 972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 19 × 19 × 19 × 31 × 31 × 97 × 97)See below for interesting mathematical facts about the number 13006413829976883200 from the Numbermatics database.
Names of 13006413829976883200
- Cardinal: 13006413829976883200 can be written as Thirteen quintillion, six quadrillion, four hundred thirteen trillion, eight hundred twenty-nine billion, nine hundred seventy-six million, eight hundred eighty-three thousand, two hundred.
Scientific notation
- Scientific notation: 1.30064138299768832 × 1019
Factors of 13006413829976883200
Divisors of 13006413829976883200
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 4 5 8 10 16 19 20 25 31 32 38 40 50 62 64 76 80 95 97 100 124 128 152 155 160 190 194 200 248 256 304 310 320 361 380 388 400 475 485 496 512 589 608 620 640 722 760 775 776 800 950 961 970 992 1024 1178 1216 1240 1280 1444 1520 1550 1552 1600 1805 1843 1900 1922 1940 1984 2048 2356 2425 2432 2480 2560 2888 2945 3007 3040 3100 3104 3200 3610 3686 3800 3844 3880 3968 4096 4712 4805 4850 4864 4960 5120 5776 5890 6014 6080 6200 6208 6400 6859 7220 7372 7600 7688 7760 7936 8192 9025 9215 9409 9424 9610 9700 9728 9920 10240 11191 11552 11780 12028 12160 12400 12416 12800 13718 14440 14725 14744 15035 15200 15376 15520 15872 16384 18050 18259 18430 18818 18848 19220 19400 19456 19840 20480 22382 23104 23560 24025 24056 24320 24800 24832 25600 27436 28880 29450 29488 30070 30400 30752 31040 31744 32768 34295 35017 36100 36518 36860 37636 37696 38440 38800 38912 39680 40960 44764 46075 46208 47045 47120 48050 48112 48640 49600 49664 51200 54872 55955 57133 57760 58900 58976 60140 60800 61504 62080 63488 65536 68590 70034 72200 73036 73720 75175 75272 75392 76880 77600 77824 79360 81920 89528 91295 92150 92416 93217 94090 94240 96100 96224 97280 99200 99328 102400 109744 111910 114266 115520 117800 117952 120280 121600 123008 124160 126976 131072 137180 140068 144400 146072 147440 150350 150544 150784 153760 155200 155648 158720 163840 171475 175085 178771 179056 182590 184300 184832 186434 188180 188480 192200 192448 194560 198400 198656 204800 212629 219488 223820 228532 231040 235225 235600 235904 240560 243200 246016 248320 253952 262144 274360 279775 280136 285665 288800 291679 292144 294880 300700 301088 301568 307520 310400 311296 317440 327680 342950 346921 350170 357542 358112 365180 368600 369664 372868 376360 376960 384400 384896 389120 396800 397312 409600 425258 438976 447640 456475 457064 462080 466085 470450 471200 471808 481120 486400 492032 496640 507904 524288 548720 559550 560272 571330 577600 583358 584288 589760 601400 602176 603136 615040 620800 622592 634880 655360 665323 685900 693842 700340 715084 716224 730360 737200 739328 745736 752720 753920 768800 769792 778240 793600 794624 819200 850516 875425 877952 893855 895280 912950 914128 924160 932170 940900 942400 943616 962240 972800 984064 993280 1015808 1048576 1063145 1085527 1097440 1119100 1120544 1142660 1155200 1166716 1168576 1179520 1202800 1204352 1206272 1230080 1241600 1245184 1269760 1310720 1330646 1371800 1387684 1400680 1428325 1430168 1432448 1458395 1460720 1474400 1478656 1491472 1505440 1507840 1537600 1539584 1556480 1587200 1589248 1638400 1701032 1734605 1750850 1755904 1771123 1787710 1790560 1825900 1828256 1848320 1864340 1881800 1884800 1887232 1924480 1945600 1968128 1986560 2031616 2097152 2126290 2171054 2194880 2238200 2241088 2285320 2310400 2330425 2333432 2337152 2359040 2405600 2408704 2412544 2460160 2483200 2490368 2539520 2621440 2661292 2743600 2775368 2801360 2856650 2860336 2864896 2916790 2921440 2948800 2957312 2982944 3010880 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52377633013760 52868162355200 53480320024576 54067234078720 55134350540800 55205491638272 55293501243392 56295073710080 56912877977600 58111043829760 59257972326400 61169519820800 63507880029184 65472041267200 65556521320448 66850400030720 67584042598400 67671247814656 69006864547840 69116876554240 69764173004800 70368842137600 70571968692224 71232892436480 72638804787200 72754606899200 74286282833920 75850204577792 79384850036480 81945651650560 83563000038400 83804212822016 84589059768320 86258580684800 86396095692800 86507574525952 88214960865280 89041115545600 90072117936128 92857853542400 94812755722240 99231062545600 102432064563200 104755266027520 105736324710400 106960640049152 108134468157440 110268701081600 110410983276544 112590147420160 113825755955200 116222087659520 118515944652800 127015760058368 130944082534400 131113042640896 133700800061440 135168085196800 135342495629312 138013729095680 138233753108480 139528346009600 140737684275200 141143937384448 142465784872960 145277609574400 158769700072960 163891303301120 167126000076800 167608425644032 169178119536640 172517161369600 172792191385600 173015149051904 176429921730560 178082231091200 180144235872256 185715707084800 189625511444480 198462125091200 204864129126400 209510532055040 211472649420800 213921280098304 216268936314880 220537402163200 220821966553088 225180294840320 227651511910400 232444175319040 237031889305600 254031520116736 261888165068800 262226085281792 267401600122880 270336170393600 270684991258624 276027458191360 276467506216960 281475368550400 282287874768896 290555219148800 317539400145920 327782606602240 334252000153600 335216851288064 338356239073280 345034322739200 345584382771200 352859843461120 356164462182400 360288471744512 371431414169600 379251022888960 396924250182400 409728258252800 419021064110080 422945298841600 427842560196608 432537872629760 441074804326400 441643933106176 450360589680640 474063778611200 508063040233472 523776330137600 524452170563584 534803200245760 540672340787200 541369982517248 552054916382720 562950737100800 581110438297600 635078800291840 655565213204480 668504000307200 670433702576128 676712478146560 690068645478400 691168765542400 705719686922240 712328924364800 720576943489024 793848500364800 819456516505600 838042128220160 845890597683200 855685120393216 865075745259520 882149608652800 883287866212352 900721179361280 948127557222400 1016126080466944 1047552660275200 1048904341127168 1069606400491520 1081344681574400 1104109832765440 1125901474201600 1162220876595200 1270157600583680 1311130426408960 1337008000614400 1340867405152256 1353424956293120 1380137290956800 1382337531084800 1411439373844480 1441153886978048 1587697000729600 1638913033011200 1676084256440320 1691781195366400 1711370240786432 1764299217305600 1801442358722560 1896255114444800 2032252160933888 2095105320550400 2097808682254336 2139212800983040 2162689363148800 2208219665530880 2251802948403200 2540315201167360 2622260852817920 2674016001228800 2681734810304512 2706849912586240 2760274581913600 3175394001459200 3277826066022400 3352168512880640 3383562390732800 3422740481572864 3528598434611200 3602884717445120 4064504321867776 4190210641100800 4195617364508672 4278425601966080 4325378726297600 4416439331061760 4503605896806400 5080630402334720 5244521705635840 5348032002457600 5363469620609024 5520549163827200 6350788002918400 6555652132044800 6704337025761280 6767124781465600 6845480963145728 7057196869222400 7205769434890240 8129008643735552 8380421282201600 8391234729017344 8556851203932160 9007211793612800 10161260804669440 10489043411271680 10696064004915200 11041098327654400 12701576005836800 13111304264089600 13408674051522560 13534249562931200 13690961926291456 16258017287471104 16760842564403200 16782469458034688 17113702407864320 18014423587225600 20322521609338880 20978086822543360 21392128009830400 22082196655308800 25403152011673600 26222608528179200 26817348103045120 27381923852582912 32516034574942208 33521685128806400 34227404815728640 36028847174451200 40645043218677760 41956173645086720 42784256019660800 50806304023347200 52445217056358400 65032069149884416 67043370257612800 68454809631457280 81290086437355520 83912347290173440 85568512039321600 101612608046694400 104890434112716800 130064138299768832 134086740515225600 136909619262914560 162580172874711040 171137024078643200 203225216093388800 209780868225433600 260128276599537664 325160345749422080 342274048157286400 406450432186777600 419561736450867200 520256553199075328 650320691498844160 684548096314572800 812900864373555200 1300641382997688320 1625801728747110400 2601282765995376640 3251603457494220800 6503206914988441600 13006413829976883200
- Sum of all divisors σ(n): 35547811821262704600
- Sum of proper divisors (its aliquot sum) s(n): 22541397991285821400
- 13006413829976883200 is an abundant number, because the sum of its proper divisors (22541397991285821400) is greater than itself. Its abundance is 9534984161308938200
Bases of 13006413829976883200
- Binary: 10110100100000000001000001110111101010011000000000000000000000002
- Hexadecimal: 0xB4801077A9800000
- Base-36: 2QTECWQSAPHQ8
Squares and roots of 13006413829976883200
- 13006413829976883200 squared (130064138299768832002) is 169166800716613935565549846386442240000
- 13006413829976883200 cubed (130064138299768832003) is 2200253416413510807211690572569316172143233092026368000000
-
The
square root of 13006413829976883200 is 3606440603.9718556829 -
The
cube root of 13006413829976883200 is 2351721.3180129791
Scales and comparisons
How big is 13006413829976883200?- 13,006,413,829,976,883,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,006,413,829,976,883,200 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 13006413829976883200 cubic inches would be around 195976.8 feet tall.
Recreational maths with 13006413829976883200
- 13006413829976883200 backwards is 00238867992831460031
- 13006413829976883200 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13006413829976883200's digits is 80
- More coming soon!
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"Number 13006413829976883200 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 13006413829976883200 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/13006413829976883200/
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The information we have on file for 13006413829976883200 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!
Keywords: Divisors of 13006413829976883200, math, Factors of 13006413829976883200, curriculum, school, college, exams, university, Prime factorization of 13006413829976883200, STEM, science, technology, engineering, physics, economics, calculator, thirteen quintillion, six quadrillion, four hundred thirteen trillion, eight hundred twenty-nine billion, nine hundred seventy-six million, eight hundred eighty-three thousand, two hundred.