13997319648000
13,997,319,648,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13997319648000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
13997319648000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 13997319648000:
28 × 3 × 53 × 13 × 172 × 1972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 17 × 17 × 197 × 197)See below for interesting mathematical facts about the number 13997319648000 from the Numbermatics database.
Names of 13997319648000
- Cardinal: 13997319648000 can be written as Thirteen trillion, nine hundred ninety-seven billion, three hundred nineteen million, six hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.3997319648 × 1013
Factors of 13997319648000
Divisors of 13997319648000
- Number of divisors d(n): 1296
-
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 96 100 102 104 120 125 128 130 136 150 156 160 170 192 195 197 200 204 208 221 240 250 255 256 260 272 289 300 312 320 325 340 375 384 390 394 400 408 416 425 442 480 500 510 520 544 578 591 600 624 640 650 663 680 750 768 780 788 800 816 832 850 867 884 960 975 985 1000 1020 1040 1088 1105 1156 1182 1200 1248 1275 1280 1300 1326 1360 1445 1500 1560 1576 1600 1625 1632 1664 1700 1734 1768 1920 1950 1970 2000 2040 2080 2125 2176 2210 2312 2364 2400 2496 2550 2561 2600 2652 2720 2890 2955 3000 3120 3152 3200 3250 3264 3315 3328 3349 3400 3468 3536 3757 3840 3900 3940 4000 4080 4160 4250 4335 4352 4420 4624 4728 4800 4875 4925 4992 5100 5122 5200 5304 5440 5525 5780 5910 6000 6240 6304 6375 6400 6500 6528 6630 6698 6800 6936 7072 7225 7514 7683 7800 7880 8000 8160 8320 8500 8670 8840 9248 9456 9600 9750 9850 9984 10047 10200 10244 10400 10608 10880 11050 11271 11560 11820 12000 12480 12608 12750 12805 13000 13056 13260 13396 13600 13872 14144 14450 14775 15028 15366 15600 15760 16000 16320 16575 16640 16745 17000 17340 17680 18496 18785 18912 19200 19500 19700 20094 20400 20488 20800 21216 21675 21760 22100 22542 23120 23640 24000 24625 24960 25216 25500 25610 26000 26520 26792 27200 27625 27744 28288 28900 29550 30056 30732 31200 31520 32000 32640 33150 33490 34000 34680 35360 36125 36992 37570 37824 38415 38809 39000 39400 40188 40800 40976 41600 42432 43350 43537 44200 45084 46240 47280 48000 49250 49920 50235 50432 51000 51220 52000 53040 53584 54400 55250 55488 56355 56576 56933 57800 59100 60112 61464 62400 63040 64025 65280 66300 66980 68000 69360 70720 72250 73875 73984 75140 75648 76830 77618 78000 78800 80376 81600 81952 82875 83200 83725 84864 86700 87074 88400 90168 92480 93925 94560 96000 98500 100470 102000 102440 104000 106080 107168 108375 108800 110500 110976 112710 113866 115600 116427 118200 120224 122928 124800 126080 128050 130611 132600 133960 136000 138720 141440 144500 147750 150280 151296 153660 155236 156000 157600 160752 163200 163904 165750 167450 169728 170799 173400 174148 176800 180336 184960 187850 189120 192075 194045 197000 200940 204000 204880 208000 212160 214336 216750 217685 221000 221952 225420 227732 231200 232854 236400 240448 245856 249600 251175 252160 256100 261222 265200 267920 272000 277440 281775 282880 284665 289000 295500 300560 307320 310472 312000 315200 320125 321504 326400 327808 331500 334900 341598 346800 348296 353600 360672 369920 375700 378240 384150 388090 394000 401880 408000 409760 416000 418625 424320 428672 433500 435370 442000 450840 455464 462400 465708 469625 472800 480896 491712 502350 504517 512200 522444 530400 535840 544000 554880 563550 569330 578000 582135 591000 601120 614640 620944 624000 630400 640250 643008 653055 655616 659753 663000 669800 683196 693600 696592 707200 721344 740129 751400 756480 768300 776180 788000 803760 816000 819520 837250 848640 853995 857344 867000 870740 884000 901680 910928 924800 931416 939250 945600 960375 961792 970225 983424 1004700 1009034 1024400 1044888 1060800 1071680 1088425 1109760 1127100 1138660 1156000 1164270 1182000 1202240 1229280 1241888 1248000 1255875 1260800 1280500 1286016 1306110 1319506 1326000 1339600 1366392 1387200 1393184 1408875 1414400 1423325 1442688 1480258 1502800 1513551 1536600 1552360 1576000 1607520 1632000 1639040 1674500 1707990 1734000 1741480 1768000 1803360 1821856 1849600 1862832 1878500 1891200 1920750 1940450 1966848 1979259 2009400 2018068 2048800 2089776 2121600 2143360 2176850 2220387 2254200 2277320 2312000 2328540 2364000 2404480 2458560 2483776 2511750 2522585 2561000 2572032 2612220 2639012 2652000 2679200 2732784 2774400 2786368 2817750 2846650 2885376 2910675 2960516 3005600 3027102 3073200 3104720 3152000 3215040 3265275 3278080 3298765 3349000 3415980 3468000 3482960 3536000 3606720 3643712 3700645 3725664 3757000 3782400 3841500 3880900 3958518 4018800 4036136 4097600 4179552 4243200 4269975 4286720 4353700 4440774 4508400 4554640 4624000 4657080 4728000 4808960 4851125 4917120 4967552 5023500 5045170 5122000 5224440 5278024 5304000 5358400 5442125 5465568 5548800 5572736 5635500 5693300 5821350 5921032 6011200 6054204 6146400 6209440 6304000 6430080 6530550 6597530 6698000 6831960 6936000 6965920 7072000 7116625 7213440 7287424 7401290 7451328 7514000 7567755 7683000 7761800 7917036 8037600 8072272 8195200 8359104 8539950 8576789 8707400 8881548 9016800 9109280 9248000 9314160 9456000 9702250 9834240 9896295 9935104 10047000 10090340 10244000 10448880 10556048 10608000 10716800 10884250 10931136 11101935 11145472 11215801 11271000 11386600 11642700 11842064 12022400 12108408 12292800 12418880 12612925 12860160 13061100 13195060 13396000 13663920 13872000 13931840 14233250 14426880 14553375 14574848 14802580 14902656 15028000 15135510 15366000 15523600 15834072 16075200 16144544 16326375 16390400 16493825 16718208 17079900 17153578 17414800 17763096 18033600 18218560 18503225 18628320 18912000 19404500 19792590 20094000 20180680 20488000 20897760 21112096 21216000 21349875 21433600 21768500 21862272 22203870 22431602 22542000 22773200 23285400 23684128 24044800 24216816 24585600 24837760 25225850 25730367 26122200 26390120 26792000 27327840 27744000 27863680 28466500 29106750 29605160 29805312 30056000 30271020 30732000 31047200 31668144 32150400 32289088 32652750 32987650 33436416 33647403 34159800 34307156 34829600 35526192 36067200 36437120 37006450 37256640 37838775 38809000 39585180 40188000 40361360 40976000 41795520 42224192 42699750 42883945 43537000 43724544 44407740 44863204 45084000 45546400 46570800 47368256 48433632 49171200 49481475 49675520 50451700 51460734 52244400 52780240 53584000 54655680 55509675 55727360 56079005 56933000 58213500 59210320 60112000 60542040 61464000 62094400 63064625 63336288 64300800 64578176 65305500 65975300 67294806 68319600 68614312 69659200 71052384 72134400 72874240 74012900 74513280 75677550 77618000 79170360 80376000 80722720 81952000 82469125 83591040 84448384 85399500 85767890 87074000 88815480 89726408 90168000 91092800 92516125 93141600 94736512 96867264 98962950 100903400 102921468 104488800 105560480 107168000 109311360 111019350 112158010 113866000 116427000 118420640 120224000 121084080 122928000 124188800 126129250 126672576 128651835 129156352 130611000 131950600 134589612 136639200 137228624 139318400 142104768 145805413 148025800 149026560 151355100 155236000 158340720 160752000 161445440 164938250 167182080 168237015 168896768 170799000 171535780 174148000 177630960 179452816 180336000 182185600 185032250 186283200 189193875 189473024 193734528 197925900 201806800 205842936 208977600 211120960 214419725 218622720 222038700 224316020 227732000 232854000 236841280 242168160 245856000 247407375 248377600 252258500 253345152 257303670 261222000 263901200 269179224 273278400 274457248 277548375 278636800 280395025 284209536 291610826 296051600 302710200 310472000 316681440 321504000 322890880 329876500 336474030 341598000 343071560 348296000 355261920 358905632 360672000 364371200 370064500 372566400 378387750 387469056 395851800 403613600 411685872 417955200 422241920 428839450 437416239 444077400 448632040 455464000 465708000 473682560 484336320 494814750 504517000 506690304 514607340 522444000 527802400 538358448 546556800 548914496 555096750 560790050 568419072 583221652 592103200 605420400 620944000 633362880 643259175 645781760 659753000 672948060 683196000 686143120 696592000 710523840 717811264 729027065 740129000 745132800 756775500 791703600 807227200 823371744 835910400 841185075 844483840 857678900 874832478 888154800 897264080 910928000 931416000 947365120 968672640 989629500 1009034000 1029214680 1044888000 1055604800 1072098625 1076716896 1093113600 1097828992 1110193500 1121580100 1166443304 1184206400 1210840800 1241888000 1266725760 1286518350 1319506000 1345896120 1366392000 1372286240 1393184000 1401975125 1421047680 1435622528 1458054130 1480258000 1513551000 1583407200 1614454400 1646743488 1682370150 1715357800 1749664956 1776309600 1794528160 1821856000 1862832000 1937345280 1979259000 2018068000 2058429360 2089776000 2111209600 2144197250 2153433792 2187081195 2195657984 2220387000 2243160200 2332886608 2368412800 2421681600 2533451520 2573036700 2639012000 2691792240 2732784000 2744572480 2803950250 2842095360 2871245056 2916108260 2960516000 3027102000 3166814400 3216295875 3228908800 3293486976 3364740300 3430715600 3499329912 3552619200 3589056320 3645135325 3725664000 3958518000 4036136000 4116858720 4179552000 4205925375 4222419200 4288394500 4306867584 4374162390 4440774000 4486320400 4665773216 4736825600 4843363200 5146073400 5278024000 5383584480 5465568000 5489144960 5607900500 5832216520 5921032000 6054204000 6333628800 6432591750 6586973952 6729480600 6861431200 6998659824 7105238400 7178112640 7290270650 7917036000 8072272000 8233717440 8411850750 8576789000 8613735168 8748324780 8881548000 8972640800 9331546432 9686726400 10292146800 10556048000 10767168960 10935405975 10978289920 11215801000 11664433040 11842064000 12108408000 12667257600 12865183500 13458961200 13722862400 13997319648 14210476800 14356225280 14580541300 15834072000 16144544000 16467434880 16823701500 17153578000 17496649560 17763096000 17945281600 18225676625 18663092864 20584293600 21112096000 21534337920 21870811950 22431602000 23328866080 23684128000 24216816000 25730367000 26917922400 27445724800 27994639296 29161082600 31668144000 32934869760 33647403000 34307156000 34993299120 35526192000 35890563200 36451353250 37326185728 41168587200 43068675840 43741623900 44863204000 46657732160 48433632000 51460734000 53835844800 54677029875 54891449600 55989278592 58322165200 63336288000 67294806000 68614312000 69986598240 71052384000 71781126400 72902706500 82337174400 87483247800 89726408000 93315464320 102921468000 107671689600 109354059750 111978557184 116644330400 134589612000 137228624000 139973196480 145805413000 164674348800 174966495600 179452816000 186630928640 205842936000 215343379200 218708119500 233288660800 269179224000 274457248000 279946392960 291610826000 349932991200 358905632000 411685872000 437416239000 466577321600 538358448000 559892785920 583221652000 699865982400 823371744000 874832478000 933154643200 1076716896000 1166443304000 1399731964800 1749664956000 2332886608000 2799463929600 3499329912000 4665773216000 6998659824000 13997319648000
- Sum of all divisors σ(n): 53458214750304
- Sum of proper divisors (its aliquot sum) s(n): 39460895102304
- 13997319648000 is an abundant number, because the sum of its proper divisors (39460895102304) is greater than itself. Its abundance is 25463575454304
Bases of 13997319648000
- Binary: 110010111011000000010100001111110011000000002
- Hexadecimal: 0xCBB0143F300
- Base-36: 4YMA2PUYO
Squares and roots of 13997319648000
- 13997319648000 squared (139973196480002) is 195924957328286843904000000
- 13997319648000 cubed (139973196480003) is 2742424254744791026357368225792000000000
-
The
square root of 13997319648000 is 3741299.1925265747 -
The
cube root of 13997319648000 is 24099.8844412887
Scales and comparisons
How big is 13997319648000?- 13,997,319,648,000 seconds is equal to 445,071 years, 24 weeks, 2 days, 10 hours, 40 minutes.
-
To count from 1 to 13,997,319,648,000 would take you about one million, one hundred twelve thousand, six hundred seventy-eight 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 13997319648000 cubic inches would be around 2008.3 feet tall.
Recreational maths with 13997319648000
- 13997319648000 backwards is 00084691379931
- 13997319648000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13997319648000's digits is 60
- 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 13997319648000 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
APA style:
Numbermatics. (2024). Number 13997319648000 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/13997319648000/
Chicago style:
Numbermatics. 2024. "Number 13997319648000 - Facts about the integer". https://numbermatics.com/n/13997319648000/
The information we have on file for 13997319648000 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 13997319648000, math, Factors of 13997319648000, curriculum, school, college, exams, university, Prime factorization of 13997319648000, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, nine hundred ninety-seven billion, three hundred nineteen million, six hundred forty-eight thousand.