13540848938348400
13,540,848,938,348,400 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13540848938348400 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2880 divisors.
13540848938348400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 13540848938348400:
24 × 32 × 52 × 173 × 31 × 41 × 193 × 3121
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 17 × 17 × 17 × 31 × 41 × 193 × 3121)See below for interesting mathematical facts about the number 13540848938348400 from the Numbermatics database.
Names of 13540848938348400
- Cardinal: 13540848938348400 can be written as Thirteen quadrillion, five hundred forty trillion, eight hundred forty-eight billion, nine hundred thirty-eight million, three hundred forty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.35408489383484 × 1016
Factors of 13540848938348400
Divisors of 13540848938348400
- Number of divisors d(n): 2880
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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 31 34 36 40 41 45 48 50 51 60 62 68 72 75 80 82 85 90 93 100 102 120 123 124 136 144 150 153 155 164 170 180 186 193 200 204 205 225 240 246 248 255 272 279 289 300 306 310 328 340 360 369 372 386 400 408 410 425 450 465 492 496 510 527 558 578 579 600 612 615 620 656 680 697 720 738 744 765 772 775 816 820 850 867 900 930 965 984 1020 1025 1054 1116 1156 1158 1200 1224 1230 1240 1271 1275 1360 1394 1395 1445 1476 1488 1530 1544 1550 1581 1640 1700 1734 1737 1800 1845 1860 1930 1968 2040 2050 2091 2108 2232 2312 2316 2325 2448 2460 2480 2542 2550 2601 2635 2788 2790 2890 2895 2952 3060 3075 3088 3100 3121 3162 3280 3281 3400 3468 3474 3485 3600 3690 3720 3813 3825 3860 4080 4100 4182 4216 4335 4464 4624 4632 4650 4743 4825 4913 4920 5084 5100 5202 5270 5576 5580 5780 5790 5904 5983 6120 6150 6200 6242 6273 6324 6355 6562 6800 6936 6948 6970 6975 7225 7380 7440 7626 7650 7720 7905 7913 8200 8364 8432 8670 8685 8959 9225 9264 9300 9363 9486 9650 9826 9840 9843 10168 10200 10404 10455 10540 11152 11160 11439 11560 11580 11849 11966 12240 12300 12400 12484 12546 12648 12710 13005 13124 13175 13872 13896 13940 13950 14450 14475 14739 14760 15252 15300 15440 15605 15810 15826 16400 16405 16728 17340 17370 17425 17918 17949 18450 18600 18726 18972 19065 19300 19652 19686 20336 20400 20808 20910 21080 21607 21675 22320 22878 23120 23160 23698 23715 23739 23932 24565 24600 24968 25092 25296 25420 26010 26248 26350 26877 27792 27880 27900 28089 28900 28950 29478 29520 29529 29915 30504 30600 31210 31365 31620 31652 31775 32810 33456 34680 34740 34850 35547 35836 35898 36900 37200 37452 37944 38130 38600 39304 39372 39525 39565 41616 41820 42160 43214 43350 43425 44217 44795 45756 46320 46815 47396 47430 47478 47864 49130 49200 49215 49936 50184 50840 52020 52275 52496 52700 53057 53754 53847 55760 55777 55800 56178 57195 57800 57900 58956 59058 59245 59830 61008 61200 62420 62730 63240 63304 63550 64821 65025 65620 69360 69480 69700 71094 71217 71672 71796 73695 73800 74904 75888 76260 77200 78025 78608 78744 79050 79130 80631 82025 83640 86428 86700 86850 88434 89590 89745 91512 93630 94792 94860 94956 95325 95728 96751 98260 98430 100368 101680 101711 104040 104550 105400 106114 106641 107508 107694 108035 111554 111600 112356 114390 115600 115800 117912 118116 118490 118575 118695 119660 122825 124840 125460 126480 126608 127100 127961 129642 130050 131240 134385 134521 138960 139400 140445 142188 142434 143344 143592 147390 147600 147645 149575 149808 152303 152520 156050 156825 157488 158100 158260 159171 161262 164050 167280 167331 172856 173400 173700 176868 177735 179180 179490 183024 187260 189584 189720 189912 190650 193502 194463 196520 196860 197825 201433 203422 208080 209100 210800 212228 213282 215016 215388 216070 221085 223108 223975 224712 228780 231600 234075 235824 236232 236980 237150 237390 239320 245303 245650 246075 249680 250920 254200 255922 259284 260100 262480 265285 268770 269042 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45711364464 45856103960 45935439780 46651882800 47150429475 47349764624 47533766300 47616004650 48206945560 48553521840 48568324743 50293791440 50329870200 50380804920 51042648240 51588116955 52060165084 52224005100 52910062200 53268485202 53964805270 54232813755 55027324752 55122527736 55200502800 56580515370 57040519560 57098245576 57139205580 57320129950 57419299725 57848334672 58466532549 59187205780 60258681950 60456965904 60691902300 61247253040 62668806120 62867239300 62976006150 63488006200 63803310300 64235526273 64757766324 65075206355 66565312200 67222594800 68448623472 68784155940 68903159670 69632006800 69977824200 71024646936 71300649450 71372806970 71424006975 72310418340 73984007225 75440687160 75571207380 76185607440 76559066300 77955376732 78090247626 78336007650 80922536400 80947207905 82540987128 83968008200 85071080400 85560779340 85647368364 85980194925 86343688432 86772502008 88780808670 88907302800 90388022925 90528824592 91712207920 91740168959 91870879560 94300858950 94464009225 95067532600 95232009300 96413891120 97136649486 97444220915 100659740400 100761609840 103176233910 104120330168 104448010200 105820124400 106536970404 106950974175 107059210455 107929610540 108465627510 110245055472 113161030740 114081039120 114196491152 114278411160 114640259900 114838599450 116933065098 117135371439 118374411560 120517363900 121333771849 121383804600 125337612240 125734478600 125952012300 126976012400 127606620600 128471052546 129515532648 130150412710 133130624400 133171213005 134912013175 137568311880 137806319340 139955648400 141451288425 142049293872 142601298900 142745613940 142848013950 144620836680 147968014450 150881374320 151142414760 153118132600 155910753464 156180495252 156672015300 161894415810 165081974256 167936016400 171121558680 171294736728 171960389850 172257899175 173545004016 175399597647 177561617340 178432017425 180776045850 183480337918 183741759120 188601717900 188928018450 190135065200 190464018600 194273298972 194888441830 195225619065 206352467820 208240660336 208896020400 213073940808 213901948350 214118420910 215859221080 216931255020 221255701607 221952021675 226322061480 228556822320 229280519800 229677198900 233866130196 234270742878 236748823120 241034727800 242667543698 242767609200 242841623715 251468957200 251904024600 255213241200 256942105092 257940584775 259031065296 260300825420 266342426010 269824026350 271164068775 275136623760 275220506877 275612638680 282902576850 285202597800 285491227880 285696027900 289241673360 292332662745 295936028900 302284829520 306236265200 311821506928 312360990504 313344030600 321177631365 323788831620 325376031775 342243117360 342589473456 343920779700 344515798350 350799195294 355123234680 356864034850 361552091700 364001315547 366960675836 377203435800 377856036900 380928037200 388546597944 389776883660 390451238130 404736039525 412704935640 426147881616 427803896700 428236841820 431718442160 433862510040 442511403214 443904043350 452644122960 458561039600 458700844795 459354397800 467732260392 468541485756 482069455600 485335087396 485683247430 487221104575 503808049200 513884210184 515881169550 520601650840 532684852020 535296052275 539648052700 542328137550 550441013754 551225277360 565805153700 570405195600 570982455760 571392055800 584665325490 585676857195 591872057800 606668859245 624721981008 626688061200 642355262730 647577663240 650752063550 663767104821 665856065025 687841559400 689031596700 701598390588 710246469360 713728069700 723104183400 728002631094 733921351672 754406871600 755712073800 777093195888 779553767320 780902476260 809472079050 825409871280 825661520631 855607793400 856473683640 867725020080 876997988235 885022806428 887808086700 917401689590 918708795600 935464520784 937082971512 970670174792 971366494860 974442209150 976128095325 1027768420368 1031762339100 1041203301680 1065369704040 1070592104550 1079296105400 1084656275100 1092003946641 1100882027508 1106278508035 1131610307400 1142784111600 1169330650980 1171353714390 1183744115600 1213337718490 1214208118575 1284710525460 1295155326480 1301504127100 1327534209642 1331712130050 1375683118800 1376102534385 1378063193400 1403196781176 1427456139400 1446208366800 1456005262188 1461663313725 1467842703344 1511424147600 1559107534640 1561804952520 1605888156825 1618944158100 1651323041262 1711215586800 1712947367280 1753995976470 1770045612856 1775616173400 1820006577735 1834803379180 1874165943024 1941340349584 1942732989720 1948884418300 1952256190650 1991301314463 2063524678200 2130739408080 2141184209100 2158592210800 2169312550200 2184007893282 2201764055016 2212557016070 2263220614800 2293504223975 2338661301960 2342707428780 2426675436980 2428416237150 2569421050920 2603008254200 2655068419284 2663424260100 2752205068770 2756126386800 2806393562352 2854912278800 2912010524376 2923326627450 2928384285975 3033344296225 3123609905040 3211776313650 3237888316200 3302646082524 3318835524105 3507991952940 3540091225712 3551232346800 3640013155470 3669606758360 3761346927319 3885465979440 3897768836600 3904512381300 3982602628926 4127049356400 4128307603155 4282368418200 4338625100400 4368015786564 4384989941175 4403528110032 4425114032140 4587008447950 4677322603920 4685414857560 4853350873960 4856832474300 5138842101840 5206016508400 5310136838568 5326848520200 5460019733205 5504410137540 5531392540175 5824021048752 5846653254900 5856768571950 6066688592450 6423552627300 6475776632400 6605292165048 6637671048210 6880512671925 7015983905880 7280026310940 7339213516720 7522693854638 7795537673200 7809024762600 7965205257852 8256615206310 8564736836400 8736031573128 8769979882350 8850228064280 9100032888675 9174016895900 9370829715120 9706701747920 9713664948600 9956506572315 10620273677136 10653697040400 10920039466410 11008820275080 11062785080350 11284040781957 11693306509800 11713537143900 12133377184900 12847105254600 13210584330096 13275342096420 13761025343850 14031967811760 14560052621880 15045387709276 15618049525200 15930410515704 16513230412620 16594177620525 17472063146256 17539959764700 17700456128560 18200065777350 18348033791800 18806734636595 19427329897200 19913013144630 20641538015775 21840078932820 22017640550160 22125570160700 22568081563914 23386613019600 23427074287800 24266754369800 25694210509200 26550684192840 27300098666025 27522050687700 29120105243760 30090775418552 31860821031408 33026460825240 33188355241050 33852122345871 35079919529400 36400131554700 36696067583600 37613469273190 39826026289260 41283076031550 43680157865640 44251140321400 45136163127828 46854148575600 48533508739600 49782532861575 53101368385680 54600197332050 55044101375400 56420203909785 60181550837104 66052921650480 66376710482100 67704244691742 70159839058800 72800263109400 75226938546380 79652052578520 82566152063100 87360315731280 88502280642800 90272326255656 94033673182975 99565065723150 109200394664100 110088202750800 112840407819570 132753420964200 135408489383484 145600526218800 150453877092760 159304105157040 165132304126200 169260611729355 180544652511312 188067346365950 199130131446300 218400789328200 225680815639140 265506841928400 270816978766968 282101019548925 300907754185520 330264608252400 338521223458710 376134692731900 398260262892600 436801578656400 451361631278280 541633957533936 564202039097850 677042446917420 752269385463800 796520525785200 846303058646775 902723262556560 1128404078195700 1354084893834840 1504538770927600 1692606117293550 2256808156391400 2708169787669680 3385212234587100 4513616312782800 6770424469174200 13540848938348400
- Sum of all divisors σ(n): 53084916717880320
- Sum of proper divisors (its aliquot sum) s(n): 39544067779531920
- 13540848938348400 is an abundant number, because the sum of its proper divisors (39544067779531920) is greater than itself. Its abundance is 26003218841183520
Bases of 13540848938348400
- Binary: 1100000001101101010100100100101110110101101111011100002
- Hexadecimal: 0x301B5492ED6F70
- Base-36: 3PBTW4JJ7G0
Squares and roots of 13540848938348400
- 13540848938348400 squared (135408489383484002) is 183354589971170991384119782560000
- 13540848938348400 cubed (135408489383484003) is 2482776804952436908446021481140594253523904000000
-
The
square root of 13540848938348400 is 116365153.4538944351 -
The
cube root of 13540848938348400 is 238350.0776289435
Scales and comparisons
How big is 13540848938348400?- 13,540,848,938,348,400 seconds is equal to 430,557,111 years, 33 weeks, 3 days, 7 hours.
-
To count from 1 to 13,540,848,938,348,400 would take you about one billion, two hundred ninety-one million, six hundred seventy-one thousand, three hundred thirty-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 13540848938348400 cubic inches would be around 19862.5 feet tall.
Recreational maths with 13540848938348400
- 13540848938348400 backwards is 00484383984804531
- 13540848938348400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13540848938348400's digits is 72
- More coming soon!
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Cite this page
MLA style:
"Number 13540848938348400 - Facts about the integer". Numbermatics.com. 2024. Web. 23 May 2024.
APA style:
Numbermatics. (2024). Number 13540848938348400 - Facts about the integer. Retrieved 23 May 2024, from https://numbermatics.com/n/13540848938348400/
Chicago style:
Numbermatics. 2024. "Number 13540848938348400 - Facts about the integer". https://numbermatics.com/n/13540848938348400/
The information we have on file for 13540848938348400 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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