138134347366400
138,134,347,366,400 is an even composite number composed of five prime numbers multiplied together.
138134347366400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred fifty divisors.
Prime factorization of 138134347366400:
214 × 52 × 74 × 11 × 1132
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 7 × 11 × 113 × 113)See below for interesting mathematical facts about the number 138134347366400 from the Numbermatics database.
Names of 138134347366400
- Cardinal: 138134347366400 can be written as One hundred thirty-eight trillion, one hundred thirty-four billion, three hundred forty-seven million, three hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.381343473664 × 1014
Factors of 138134347366400
Divisors of 138134347366400
- Number of divisors d(n): 1350
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 49 50 55 56 64 70 77 80 88 98 100 110 112 113 128 140 154 160 175 176 196 200 220 224 226 245 256 275 280 308 320 343 350 352 385 392 400 440 448 452 490 512 539 550 560 565 616 640 686 700 704 770 784 791 800 880 896 904 980 1024 1078 1100 1120 1130 1225 1232 1243 1280 1372 1400 1408 1540 1568 1582 1600 1715 1760 1792 1808 1925 1960 2048 2156 2200 2240 2260 2401 2450 2464 2486 2560 2695 2744 2800 2816 2825 3080 3136 3164 3200 3430 3520 3584 3616 3773 3850 3920 3955 4096 4312 4400 4480 4520 4802 4900 4928 4972 5120 5390 5488 5537 5600 5632 5650 6160 6215 6272 6328 6400 6860 7040 7168 7232 7546 7700 7840 7910 8192 8575 8624 8701 8800 8960 9040 9604 9800 9856 9944 10240 10780 10976 11074 11200 11264 11300 12005 12320 12430 12544 12656 12769 12800 13475 13720 14080 14336 14464 15092 15400 15680 15820 16384 17150 17248 17402 17600 17920 18080 18865 19208 19600 19712 19775 19888 20480 21560 21952 22148 22400 22528 22600 24010 24640 24860 25088 25312 25538 25600 26411 26950 27440 27685 28160 28672 28928 30184 30800 31075 31360 31640 34300 34496 34804 35200 35840 36160 37730 38416 38759 39200 39424 39550 39776 40960 43120 43505 43904 44296 44800 45056 45200 48020 49280 49720 50176 50624 51076 51200 52822 53900 54880 55370 56320 57344 57856 60025 60368 60907 61600 62150 62720 63280 63845 68600 68992 69608 70400 71680 72320 75460 76832 77518 78400 78848 79100 79552 81920 86240 87010 87808 88592 89383 89600 90112 90400 94325 96040 98560 99440 100352 101248 102152 102400 105644 107800 109760 110740 112640 114688 115712 120050 120736 121814 123200 124300 125440 126560 127690 132055 137200 137984 138425 139216 140459 140800 143360 144640 150920 153664 155036 156800 157696 158200 159104 172480 174020 175616 177184 178766 179200 180224 180800 188650 192080 193795 197120 198880 200704 202496 204304 204800 211288 215600 217525 219520 221480 225280 231424 240100 241472 243628 246400 248600 250880 253120 255380 264110 271313 274400 275968 276850 278432 280918 281600 286720 289280 301840 304535 307328 310072 313600 315392 316400 318208 319225 344960 348040 351232 354368 357532 358400 361600 377300 384160 387590 394240 397760 401408 404992 408608 409600 422576 426349 431200 435050 439040 442960 446915 450560 462848 480200 482944 487256 492800 497200 501760 506240 510760 528220 542626 548800 551936 553700 556864 561836 563200 573440 578560 603680 609070 614656 620144 625681 627200 630784 632800 636416 638450 660275 689920 696080 702295 702464 708736 715064 716800 723200 754600 768320 775180 788480 795520 802816 809984 817216 845152 852698 862400 870100 878080 885920 893830 901120 925696 960400 965888 968975 974512 983213 985600 994400 1003520 1012480 1021520 1056440 1085252 1097600 1103872 1107400 1113728 1123672 1126400 1157120 1207360 1218140 1229312 1240288 1251362 1254400 1261568 1265600 1272832 1276900 1320550 1356565 1379840 1392160 1404590 1404928 1417472 1430128 1433600 1446400 1509200 1522675 1536640 1550360 1576960 1591040 1619968 1634432 1690304 1705396 1724800 1740200 1756160 1771840 1787660 1851392 1920800 1931776 1937950 1949024 1966426 1971200 1988800 2007040 2024960 2043040 2112880 2131745 2170504 2195200 2207744 2214800 2227456 2234575 2247344 2252800 2314240 2414720 2436280 2458624 2480576 2502724 2508800 2531200 2545664 2553800 2641100 2713130 2759680 2784320 2809180 2809856 2834944 2860256 2867200 2892800 2984443 3018400 3045350 3073280 3100720 3128405 3153920 3182080 3239936 3268864 3380608 3410792 3449600 3480400 3511475 3512320 3543680 3575320 3841600 3863552 3875900 3898048 3932852 3942400 3977600 4014080 4049920 4086080 4225760 4263490 4341008 4379767 4390400 4415488 4429600 4454912 4469150 4494688 4505600 4628480 4829440 4872560 4916065 4917248 4961152 5005448 5017600 5062400 5091328 5107600 5282200 5426260 5519360 5568640 5618360 5619712 5669888 5720512 5785600 5968886 6036800 6090700 6146560 6201440 6256810 6307840 6364160 6479872 6537728 6761216 6782825 6821584 6882491 6899200 6960800 7022950 7024640 7087360 7150640 7683200 7727104 7751800 7796096 7865704 7884800 7955200 8099840 8172160 8451520 8526980 8682016 8759534 8780800 8830976 8859200 8909824 8938300 8989376 9256960 9658880 9745120 9832130 9834496 9922304 10010896 10035200 10124800 10182656 10215200 10564400 10658725 10852520 11038720 11137280 11236720 11339776 11441024 11571200 11937772 12073600 12181400 12293120 12402880 12513620 12728320 12959744 13075456 13522432 13565650 13643168 13764982 13798400 13921600 14045900 14049280 14174720 14301280 14922215 15366400 15454208 15503600 15592192 15642025 15731408 15769600 15910400 16199680 16344320 16903040 17053960 17364032 17519068 17561600 17718400 17819648 17876600 17978752 19317760 19490240 19664260 19668992 19844608 20021792 20070400 20249600 20365312 20430400 21128800 21317450 21705040 21898835 22077440 22274560 22473440 22679552 22882048 23142400 23875544 24147200 24362800 24580325 24586240 24805760 25027240 25456640 26150912 27044864 27131300 27286336 27529964 27596800 27843200 28091800 28098560 28349440 28602560 29844430 30658369 30732800 30908416 31007200 31184384 31284050 31462816 31539200 31820800 32399360 32688640 33806080 34107920 34412455 34728064 35038136 35123200 35436800 35639296 35753200 35957504 38635520 38980480 39328520 39337984 39689216 40043584 40499200 40860800 42257600 42634900 43410080 43797670 44154880 44549120 44946880 45359104 45764096 46284800 47751088 48177437 48294400 48725600 49160650 49172480 49611520 50054480 50913280 52301824 54089728 54262600 54572672 55059928 55193600 55686400 56183600 56698880 57205120 59688860 61316738 61465600 61816832 62014400 62368768 62568100 62925632 63641600 64798720 65377280 67612160 68215840 68824910 69456128 70076272 70246400 70873600 71278592 71506400 71915008 74611075 77271040 77960960 78657040 79378432 80087168 80998400 81721600 84515200 85269800 86820160 87595340 89098240 89893760 90718208 91528192 95502176 96354874 96588800 97451200 98321300 98344960 99223040 100108960 101826560 104603648 108179456 108525200 109145344 109494175 110119856 110387200 111372800 112367200 113397760 114410240 119377720 122633476 122931200 124028800 124737536 125136200 125851264 127283200 130754560 135224320 136431680 137649820 138912256 140152544 140492800 141747200 142557184 143012800 143830016 149222150 153291845 154542080 155921920 157314080 158756864 160174336 161996800 163443200 169030400 170539600 172062275 173640320 175190680 178196480 179787520 183056384 191004352 192709748 193177600 194902400 196642600 196689920 198446080 200217920 209207296 216358912 217050400 218290688 218988350 220239712 220774400 222745600 224734400 226795520 228820480 238755440 240887185 245266952 245862400 248057600 249475072 250272400 251702528 254566400 261509120 270448640 272863360 275299640 277824512 280305088 283494400 286025600 287660032 298444300 306583690 309084160 311843840 314628160 317513728 320348672 323993600 326886400 337242059 338060800 341079200 344124550 347280640 350381360 356392960 359575040 366112768 382008704 385419496 386355200 389804800 393285200 396892160 400435840 432717824 434100800 436581376 437976700 440479424 445491200 449468800 453591040 457640960 477510880 481774370 490533904 491724800 496115200 498950144 500544800 503405056 509132800 523018240 540897280 545726720 550599280 555649024 560610176 566988800 572051200 575320064 596888600 613167380 623687680 629256320 635027456 640697344 653772800 674484118 676121600 682158400 688249100 694561280 700762720 712785920 719150080 732225536 764017408 766459225 770838992 772710400 779609600 786570400 793784320 800871680 868201600 873162752 875953400 880958848 890982400 898937600 915281920 955021760 963548740 981067808 983449600 992230400 997900288 1001089600 1006810112 1046036480 1081794560 1091453440 1101198560 1111298048 1121220352 1133977600 1144102400 1150640128 1193777200 1204435925 1226334760 1247375360 1258512640 1281394688 1307545600 1348968236 1352243200 1364316800 1376498200 1389122560 1401525440 1438300160 1464451072 1528034816 1532918450 1541677984 1545420800 1559219200 1573140800 1587568640 1601743360 1686210295 1736403200 1746325504 1751906800 1761917696 1781964800 1797875200 1830563840 1910043520 1927097480 1962135616 1984460800 2002179200 2013620224 2163589120 2182906880 2202397120 2222596096 2242440704 2267955200 2288204800 2301280256 2387554400 2408871850 2452669520 2494750720 2517025280 2562789376 2615091200 2697936472 2704486400 2728633600 2752996400 2778245120 2803050880 2876600320 3056069632 3065836900 3083355968 3118438400 3146281600 3175137280 3203486720 3372420590 3472806400 3492651008 3503813600 3523835392 3563929600 3595750400 3661127680 3820087040 3854194960 3924271232 3968921600 4004358400 4027240448 4365813760 4404794240 4445192192 4484881408 4576409600 4775108800 4817743700 4905339040 4989501440 5034050560 5125578752 5230182400 5395872944 5408972800 5457267200 5505992800 5556490240 5606101760 5753200640 6112139264 6131673800 6166711936 6236876800 6292563200 6406973440 6744841180 6945612800 6985302016 7007627200 7047670784 7191500800 7322255360 7640174080 7708389920 7848542464 7937843200 8008716800 8054480896 8431051475 8731627520 8809588480 8969762816 9152819200 9550217600 9635487400 9810678080 10068101120 10251157504 10791745888 10817945600 10914534400 11011985600 11112980480 11212203520 11506401280 12224278528 12263347600 12333423872 12473753600 12585126400 12813946880 13489682360 13891225600 14015254400 14095341568 14383001600 15280348160 15416779840 15697084928 15875686400 16017433600 16108961792 16862102950 17463255040 17619176960 17939525632 18305638400 19100435200 19270974800 19621356160 20136202240 21583491776 21829068800 22023971200 22225960960 22424407040 24448557056 24526695200 24666847744 24947507200 25170252800 25627893760 26979364720 27782451200 28030508800 28190683136 28766003200 30560696320 30833559680 31394169856 32034867200 33724205900 34926510080 35238353920 35879051264 36611276800 38200870400 38541949600 39242712320 40272404480 43166983552 43658137600 44047942400 44848814080 48897114112 49053390400 49333695488 50340505600 51255787520 53958729440 55564902400 56061017600 56381366272 57532006400 61121392640 61667119360 62788339712 64069734400 67448411800 70476707840 71758102528 76401740800 77083899200 78485424640 80544808960 86333967104 87316275200 88095884800 89697628160 98106780800 98667390976 100681011200 107917458880 111129804800 112122035200 112762732544 122242785280 123334238720 125576679424 128139468800 134896823600 140953415680 152803481600 154167798400 156970849280 172667934208 174632550400 176191769600 179395256320 196213561600 197334781952 201362022400 215834917760 224244070400 244485570560 246668477440 251153358848 256278937600 269793647200 281906831360 305606963200 308335596800 313941698560 345335868416 352383539200 358790512640 392427123200 394669563904 402724044800 431669835520 448488140800 493336954880 502306717696 539587294400 563813662720 611213926400 616671193600 627883397120 690671736832 704767078400 784854246400 789339127808 863339671040 896976281600 986673909760 1079174588800 1222427852800 1233342387200 1255766794240 1381343473664 1409534156800 1569708492800 1726679342080 1793952563200 1973347819520 2158349177600 2466684774400 2511533588480 2762686947328 2819068313600 3139416985600 3453358684160 3946695639040 4316698355200 4933369548800 5525373894656 6278833971200 6906717368320 8633396710400 9866739097600 12557667942400 13813434736640 17266793420800 19733478195200 27626869473280 34533586841600 69067173683200 138134347366400
- Sum of all divisors σ(n): 439855206118692
- Sum of proper divisors (its aliquot sum) s(n): 301720858752292
- 138134347366400 is an abundant number, because the sum of its proper divisors (301720858752292) is greater than itself. Its abundance is 163586511385892
Bases of 138134347366400
- Binary: 111110110100001111010001011010011000000000000002
- Hexadecimal: 0x7DA1E8B4C000
- Base-36: 1CYQ1JWCU8
Squares and roots of 138134347366400
- 138134347366400 squared (1381343473664002) is 19081097922341258615848960000
- 138134347366400 cubed (1381343473664003) is 2635755008536980748804257097076178944000000
-
The
square root of 138134347366400 is 11753056.9370866233 -
The
cube root of 138134347366400 is 51693.2566515249
Scales and comparisons
How big is 138134347366400?- 138,134,347,366,400 seconds is equal to 4,392,244 years, 50 weeks, 2 days, 14 hours, 13 minutes, 20 seconds.
-
To count from 1 to 138,134,347,366,400 would take you about ten million, nine hundred eighty thousand, six hundred twelve 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 138134347366400 cubic inches would be around 4307.8 feet tall.
Recreational maths with 138134347366400
- 138134347366400 backwards is 004663743431831
- The number of decimal digits it has is: 15
- The sum of 138134347366400's digits is 53
- 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 138134347366400 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
APA style:
Numbermatics. (2024). Number 138134347366400 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138134347366400/
Chicago style:
Numbermatics. 2024. "Number 138134347366400 - Facts about the integer". https://numbermatics.com/n/138134347366400/
The information we have on file for 138134347366400 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 138134347366400, math, Factors of 138134347366400, curriculum, school, college, exams, university, Prime factorization of 138134347366400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, one hundred thirty-four billion, three hundred forty-seven million, three hundred sixty-six thousand, four hundred.