13997836819200
13,997,836,819,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 13997836819200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1458 divisors.
13997836819200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred fifty-eight divisors.
Prime factorization of 13997836819200:
28 × 3 × 52 × 132 × 312 × 672
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 13 × 31 × 31 × 67 × 67)See below for interesting mathematical facts about the number 13997836819200 from the Numbermatics database.
Names of 13997836819200
- Cardinal: 13997836819200 can be written as Thirteen trillion, nine hundred ninety-seven billion, eight hundred thirty-six million, eight hundred nineteen thousand, two hundred.
Scientific notation
- Scientific notation: 1.39978368192 × 1013
Factors of 13997836819200
Divisors of 13997836819200
- Number of divisors d(n): 1458
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 31 32 39 40 48 50 52 60 62 64 65 67 75 78 80 93 96 100 104 120 124 128 130 134 150 155 156 160 169 186 192 195 200 201 208 240 248 256 260 268 300 310 312 320 325 335 338 372 384 390 400 402 403 416 465 480 496 507 520 536 600 620 624 640 650 670 676 744 768 775 780 800 804 806 832 845 871 930 960 961 975 992 1005 1014 1040 1072 1200 1209 1240 1248 1280 1300 1340 1352 1488 1550 1560 1600 1608 1612 1664 1675 1690 1742 1860 1920 1922 1950 1984 2010 2015 2028 2077 2080 2144 2325 2400 2418 2480 2496 2535 2600 2613 2680 2704 2883 2976 3100 3120 3200 3216 3224 3328 3350 3380 3484 3720 3840 3844 3900 3968 4020 4030 4056 4154 4160 4225 4288 4355 4489 4650 4800 4805 4836 4960 4992 5025 5070 5200 5226 5239 5360 5408 5766 5952 6045 6200 6231 6240 6400 6432 6448 6700 6760 6968 7440 7688 7800 7936 8040 8060 8112 8308 8320 8450 8576 8710 8978 9300 9600 9610 9672 9920 9984 10050 10075 10140 10385 10400 10452 10478 10720 10816 11323 11532 11904 12090 12400 12462 12480 12493 12675 12864 12896 13065 13400 13467 13520 13936 14415 14880 15376 15600 15717 16080 16120 16224 16616 16640 16900 17152 17420 17956 18600 19200 19220 19344 19840 20100 20150 20280 20770 20800 20904 20956 21440 21632 21775 22445 22646 23064 23808 24025 24180 24800 24924 24960 24986 25350 25728 25792 26130 26195 26800 26934 27001 27040 27872 28830 29760 30225 30752 31155 31200 31434 32160 32240 32448 33232 33800 33969 34840 35912 37200 37479 38440 38688 39680 40200 40300 40560 41540 41600 41808 41912 42880 43264 43550 44890 45292 46128 48050 48360 49600 49848 49920 49972 50700 51456 51584 51925 52260 52390 53600 53868 54002 54080 55744 56615 57660 58357 59520 60450 61504 62310 62400 62465 62868 64320 64387 64480 64896 65325 66464 67335 67600 67938 69680 71824 72075 74400 74958 76880 77376 78585 80400 80600 81003 81120 83080 83200 83616 83824 85760 87100 89780 90584 92256 96100 96720 99200 99696 99944 101400 103168 103850 104520 104780 107200 107736 108004 108160 111488 112225 113230 115320 116714 119040 120900 123008 124620 124800 124930 125736 128640 128774 128960 129792 130650 130975 132928 134670 135005 135200 135876 139159 139360 143648 144150 148800 149916 153760 154752 155775 157170 160800 161200 162006 162240 162409 166160 167232 167648 169845 174200 175071 179560 181168 184512 187395 192200 193161 193440 198400 199392 199888 202800 207700 209040 209560 214400 215472 216008 216320 222976 224450 226460 230640 233428 241800 246016 249240 249600 249860 251472 257280 257548 257920 261300 261950 265856 269340 270010 270400 271752 278318 278720 283075 287296 288300 291785 297600 299832 307520 309504 311550 312325 314340 321600 321935 322400 324012 324480 324818 332320 334464 335296 336675 339690 348400 350142 351013 359120 362336 369024 374790 384400 386322 386880 392925 398784 399776 405015 405600 415400 417477 418080 419120 428800 430944 432016 448900 452920 461280 466856 483600 487227 498480 499720 502944 515096 515840 522600 523900 531712 538680 540020 540800 543504 556636 557440 566150 574592 576600 583570 595200 599664 615040 623100 624650 628680 643200 643870 644800 648024 648960 649636 664640 668928 670592 673350 675025 679380 695795 696800 700284 702026 718240 724672 738048 749580 758641 768800 772644 773760 785850 797568 799552 810030 811200 812045 830800 834954 836160 837031 838240 849225 861888 864032 875355 897800 905840 922560 933712 936975 965805 967200 974454 996960 999440 1005888 1030192 1045200 1047800 1053039 1077360 1080040 1081600 1087008 1113272 1114880 1132300 1149184 1153200 1167140 1199328 1230080 1246200 1249300 1257360 1286400 1287740 1289600 1296048 1299272 1329280 1341184 1346700 1350050 1358760 1391590 1393600 1400568 1404052 1436480 1449344 1458925 1499160 1517282 1537600 1545288 1547520 1571700 1595136 1599104 1609675 1620060 1622400 1624090 1661600 1669908 1672320 1674062 1676480 1698450 1723776 1728064 1750710 1755065 1795600 1809067 1811680 1845120 1867424 1873950 1931610 1934400 1948908 1993920 1998880 2011776 2025075 2060384 2087385 2090400 2095600 2106078 2154720 2160080 2174016 2226544 2264600 2275923 2306400 2334280 2398656 2436135 2492400 2498600 2511093 2514720 2575480 2579200 2592096 2598544 2658560 2693400 2700100 2717520 2783180 2787200 2801136 2808104 2872960 2898688 2917850 2998320 3034564 3075200 3090576 3143400 3198208 3219350 3240120 3244800 3248180 3323200 3339816 3344640 3348124 3352960 3396900 3447552 3456128 3478975 3501420 3510130 3591200 3618134 3623360 3690240 3734848 3747900 3793205 3863220 3868800 3897816 3987840 3997760 4023552 4050150 4060225 4120768 4174770 4180800 4185155 4191200 4212156 4309440 4313929 4320160 4348032 4376775 4453088 4529200 4551846 4612800 4668560 4797312 4829025 4872270 4984800 4997200 5022186 5029440 5150960 5184192 5197088 5265195 5386800 5400200 5427201 5435040 5566360 5574400 5602272 5616208 5745920 5835700 5996640 6069128 6150400 6181152 6286800 6438700 6480240 6496360 6646400 6679632 6696248 6705920 6793800 6912256 6957950 7002840 7020260 7182400 7236268 7246720 7469696 7495800 7586410 7726440 7737600 7795632 7975680 7995520 8100300 8120450 8241536 8349540 8361600 8370310 8382400 8424312 8618880 8627858 8640320 8696064 8753550 8775325 8906176 9045335 9058400 9103692 9225600 9337120 9594624 9658050 9744540 9969600 9994400 10044372 10058880 10301920 10368384 10394176 10436925 10530390 10773600 10800400 10854402 10870080 10881403 11132720 11204544 11232416 11379615 11671400 11993280 12138256 12180675 12362304 12555465 12573600 12877400 12941787 12960480 12992720 13292800 13359264 13392496 13587600 13915900 14005680 14040520 14364800 14472536 14493440 14939392 14991600 15172820 15452880 15591264 15991040 16200600 16240900 16483072 16699080 16723200 16740620 16764800 16848624 17237760 17255716 17280640 17507100 17550650 17812352 18090670 18116800 18207384 18451200 18674240 18966025 19316100 19489080 19939200 19988800 20088744 20117760 20603840 20736768 20788352 20873850 20925775 21060780 21547200 21569645 21600800 21708804 21740160 21762806 22265440 22409088 22464832 22759230 23342800 23517871 23986560 24276512 24361350 24724608 25110930 25147200 25754800 25883574 25920960 25985440 26325975 26718528 26784992 27136005 27175200 27831800 28011360 28081040 28729600 28945072 29983200 30345640 30905760 31182528 32401200 32481800 32644209 33398160 33481240 33529600 33697248 34511432 34561280 35014200 35101300 35624704 36181340 36233600 36414768 37348480 37932050 38632200 38978160 39878400 39977600 40177488 41207680 41576704 41747700 41851550 42121560 43094400 43139290 43201600 43417608 43480320 43525612 44530880 44818176 44929664 45226675 45518460 46685600 47035742 47973120 48553024 48722700 49449216 50221860 50294400 51509600 51767148 51841920 51970880 52651950 53437056 53569984 54272010 54350400 54407015 55663600 56022720 56081077 56162080 56898075 57890144 59966400 60691280 61811520 62365056 62777325 64708935 64802400 64963600 65288418 66796320 66962480 67394496 69022864 70028400 70202600 70553613 72362680 72467200 72829536 74696960 75864100 77264400 77956320 79955200 80354976 82415360 83495400 83703100 84243120 86188800 86278580 86403200 86835216 87051224 89061760 89859328 90453350 91036920 93371200 94071484 97106048 97445400 100443720 100588800 103019200 103534296 103683840 103941760 105303900 106874112 107139968 107848225 108544020 108700800 108814030 111327200 112045440 112162154 112324160 113796150 115780288 117589355 119932800 121382560 123623040 124730112 125554650 129417870 129604800 129927200 130576836 133592640 133924960 134788992 135680025 138045728 140056800 140405200 141107226 144725360 145659072 151728200 154528800 155912640 160709952 163221045 166990800 167406200 168243231 168486240 172557160 172806400 173670432 174102448 178123520 180906700 182073840 186742400 188142968 194212096 194890800 200887440 206038400 207068592 207883520 210607800 214279936 215696450 217088040 217401600 217628060 222654400 224090880 224324308 224648320 227592300 231560576 235178710 239865600 242765120 247246080 251109300 258835740 259209600 259854400 261153672 267185280 267849920 269577984 271360050 272035075 276091456 280113600 280405385 280810400 282214452 289450720 291318144 303456400 309057600 311825280 321419904 323544675 326442090 333981600 334812400 336486462 336972480 345114320 347340864 348204896 352768065 361813400 364147680 373484800 376285936 389781600 401774880 412076800 414137184 421215600 431392900 434176080 435256120 445308800 448648616 449296640 455184600 463121152 470357420 485530240 502218600 517671480 518419200 519708800 522307344 534370560 535699840 542720100 544070150 552182912 560227200 560810770 561620800 564428904 578901440 582636288 587946775 606912800 618115200 623650560 642839808 647089350 652884180 667963200 669624800 672972924 673944960 690228640 694681728 696409792 705536130 723626800 728295360 729054001 752571872 779563200 803549760 816105225 828274368 841216155 842431200 862785800 868352160 870512240 890617600 897297232 910369200 940714840 971060480 1004437200 1035342960 1039417600 1044614688 1071399680 1085440200 1088140300 1104365824 1120454400 1121621540 1123241600 1128857808 1157802880 1175893550 1213825600 1236230400 1294178700 1305768360 1335926400 1339249600 1345945848 1347889920 1380457280 1389363456 1392819584 1402026925 1411072260 1447253600 1456590720 1458108002 1505143744 1559126400 1607099520 1632210450 1656548736 1682432310 1684862400 1725571600 1736704320 1741024480 1763840325 1794594464 1820738400 1881429680 2008874400 2070685920 2089229376 2170880400 2176280600 2187162003 2243243080 2246483200 2257715616 2315605760 2351787100 2427651200 2588357400 2611536720 2671852800 2678499200 2691891696 2760914560 2785639168 2804053850 2822144520 2894507200 2913181440 2916216004 3010287488 3118252800 3214199040 3264420900 3313097472 3364864620 3369724800 3451143200 3473408640 3482048960 3527680650 3589188928 3641476800 3645270005 3762859360 4017748800 4141371840 4178458752 4206080775 4341760800 4352561200 4374324006 4486486160 4515431232 4703574200 4855302400 5176714800 5223073440 5356998400 5383783392 5521829120 5608107700 5644289040 5789014400 5832432008 6020574976 6528841800 6729729240 6739449600 6902286400 6946817280 6964097920 7055361300 7178377856 7282953600 7290540010 7525718720 8035497600 8282743680 8356917504 8412161550 8683521600 8705122400 8748648012 8972972320 9030862464 9407148400 10353429600 10446146880 10767566784 10935810015 11216215400 11288578080 11578028800 11664864016 13057683600 13459458480 13804572800 13928195840 14110722600 14356755712 14565907200 14581080020 15051437440 16070995200 16565487360 16824323100 17367043200 17410244800 17497296024 17945944640 18061724928 18226350025 18814296800 20706859200 20892293760 21535133568 21871620030 22432430800 22577156160 23329728032 26115367200 26918916960 27609145600 28221445200 29162160040 30102874880 33648646200 34734086400 34820489600 34994592048 35891889280 36452700050 37628593600 41413718400 41784587520 43070267136 43743240060 44864861600 45154312320 46659456064 52230734400 53837833920 54679050075 56442890400 58324320080 67297292400 69640979200 69989184096 71783778560 72905400100 75257187200 82827436800 87486480120 89729723200 90308624640 93318912128 104461468800 107675667840 109358100150 112885780800 116648640160 134594584800 139978368192 145810800200 150514374400 174972960240 179459446400 186637824256 208922937600 215351335680 218716200300 225771561600 233297280320 269189169600 279956736384 291621600400 349945920480 358918892800 437432400600 451543123200 466594560640 538378339200 559913472768 583243200800 699891840960 874864801200 933189121280 1076756678400 1166486401600 1399783681920 1749729602400 2332972803200 2799567363840 3499459204800 4665945606400 6998918409600 13997836819200
- Sum of all divisors σ(n): 52471315456812
- Sum of proper divisors (its aliquot sum) s(n): 38473478637612
- 13997836819200 is an abundant number, because the sum of its proper divisors (38473478637612) is greater than itself. Its abundance is 24475641818412
Bases of 13997836819200
- Binary: 110010111011001000000001011101011011000000002
- Hexadecimal: 0xCBB20175B00
- Base-36: 4YMIMMMTC
Squares and roots of 13997836819200
- 13997836819200 squared (139978368192002) is 195939435616951173488640000
- 13997836819200 cubed (139978368192003) is 2742728246212227003907931904933888000000
-
The
square root of 13997836819200 is 3741368.3084133805 -
The
cube root of 13997836819200 is 24100.1812507961
Scales and comparisons
How big is 13997836819200?- 13,997,836,819,200 seconds is equal to 445,087 years, 47 weeks, 3 days, 5 hours, 20 minutes.
-
To count from 1 to 13,997,836,819,200 would take you about one million, one hundred twelve thousand, seven hundred nineteen 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 13997836819200 cubic inches would be around 2008.3 feet tall.
Recreational maths with 13997836819200
- 13997836819200 backwards is 00291863879931
- The number of decimal digits it has is: 14
- The sum of 13997836819200's digits is 66
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 13997836819200 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
APA style:
Numbermatics. (2024). Number 13997836819200 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/13997836819200/
Chicago style:
Numbermatics. 2024. "Number 13997836819200 - Facts about the integer". https://numbermatics.com/n/13997836819200/
The information we have on file for 13997836819200 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 13997836819200, math, Factors of 13997836819200, curriculum, school, college, exams, university, Prime factorization of 13997836819200, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, nine hundred ninety-seven billion, eight hundred thirty-six million, eight hundred nineteen thousand, two hundred.