138574370507476992
138,574,370,507,476,992 is an even composite number composed of six prime numbers multiplied together.
138574370507476992 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred thirty-six divisors.
Prime factorization of 138574370507476992:
212 × 3 × 112 × 792 × 593 × 25183
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 11 × 79 × 79 × 593 × 25183)See below for interesting mathematical facts about the number 138574370507476992 from the Numbermatics database.
Names of 138574370507476992
- Cardinal: 138574370507476992 can be written as One hundred thirty-eight quadrillion, five hundred seventy-four trillion, three hundred seventy billion, five hundred seven million, four hundred seventy-six thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 1.38574370507476992 × 1017
Factors of 138574370507476992
Divisors of 138574370507476992
- Number of divisors d(n): 936
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 79 88 96 121 128 132 158 176 192 237 242 256 264 316 352 363 384 474 484 512 528 593 632 704 726 768 869 948 968 1024 1056 1186 1264 1408 1452 1536 1738 1779 1896 1936 2048 2112 2372 2528 2607 2816 2904 3072 3476 3558 3792 3872 4096 4224 4744 5056 5214 5632 5808 6144 6241 6523 6952 7116 7584 7744 8448 9488 9559 10112 10428 11264 11616 12288 12482 13046 13904 14232 15168 15488 16896 18723 18976 19118 19569 20224 20856 22528 23232 24964 25183 26092 27808 28464 28677 30336 30976 33792 37446 37952 38236 39138 40448 41712 45056 46464 46847 49928 50366 52184 55616 56928 57354 60672 61952 67584 68651 71753 74892 75549 75904 76472 78276 80896 83424 92928 93694 99856 100732 104368 111232 113856 114708 121344 123904 135168 137302 140541 143506 149784 151098 151808 152944 156552 161792 166848 185856 187388 199712 201464 205953 208736 215259 222464 227712 229416 242688 247808 274604 277013 281082 287012 299568 302196 303616 305888 313104 323584 333696 371712 374776 399424 402928 411906 417472 430518 444928 455424 458832 485376 495616 515317 549208 554026 562164 574024 599136 604392 607232 611776 626208 667392 743424 749552 755161 798848 805856 823812 831039 834944 861036 889856 910848 917664 970752 1030634 1098416 1108052 1124328 1148048 1198272 1208784 1214464 1223552 1252416 1334784 1486848 1499104 1510322 1545951 1597696 1611712 1647624 1662078 1669888 1722072 1779712 1821696 1835328 1989457 2061268 2196832 2216104 2248656 2265483 2296096 2396544 2417568 2428928 2447104 2504832 2669568 2998208 3020644 3047143 3091902 3195392 3223424 3295248 3324156 3339776 3444144 3559424 3643392 3670656 3700913 3978914 4122536 4393664 4432208 4497312 4530966 4592192 4793088 4835136 4894208 5009664 5339136 5668487 5968371 5996416 6041288 6094286 6183804 6390784 6446848 6590496 6648312 6679552 6888288 7286784 7341312 7401826 7957828 8245072 8787328 8864416 8994624 9061932 9141429 9184384 9586176 9670272 9788416 10019328 10678272 11102739 11336974 11936742 11992832 12082576 12188572 12367608 12781568 12893696 13180992 13296624 13359104 13776576 14682624 14803652 14933519 15915656 16490144 17005461 17574656 17728832 17989248 18123864 18282858 18368768 19172352 19340544 19576832 20038656 21884027 22205478 22673948 23873484 23985664 24165152 24377144 24735216 25563136 25787392 26361984 26593248 26718208 27553152 29365248 29607304 29867038 31831312 32980288 34010922 35149312 35457664 35978496 36247728 36565716 36737536 38344704 38681088 39153664 40077312 40710043 43768054 44410956 44800557 45347896 47746968 47971328 48330304 48754288 49470432 51574784 52723968 53186496 55106304 58730496 59214608 59734076 63662624 65652081 65960576 68021844 70298624 70915328 71956992 72495456 73131432 73475072 76689408 77362176 80154624 81420086 87536108 88821912 89601114 90695792 95493936 95942656 96660608 97508576 98940864 103149568 105447936 106372992 110212608 117460992 118429216 119468152 122130129 127325248 131304162 131921152 136043688 140597248 141830656 143913984 144990912 146262864 146950144 154724352 157167103 162840172 164268709 175072216 177643824 179202228 181391584 190987872 191885312 193321216 195017152 197881728 210895872 212745984 220425216 236858432 238936304 240724297 244260258 254650496 262608324 263842304 272087376 281194496 283661312 287827968 289981824 292525728 293900288 309448704 314334206 325680344 328537418 350144432 355287648 358404456 362783168 381975744 386642432 390034304 395763456 421791744 425491968 440850432 447810473 471501309 473716864 477872608 481448594 488520516 492806127 509300992 525216648 527684608 544174752 567322624 575655936 579963648 585051456 628668412 651360688 657074836 700288864 710575296 716808912 722172891 725566336 763951488 773284864 780068608 791526912 843583488 850983936 881700864 895620946 943002618 947433728 955745216 962897188 977041032 985612254 1018601984 1050433296 1055369216 1088349504 1134645248 1159927296 1170102912 1179748001 1257336824 1302721376 1314149672 1343431419 1400577728 1421150592 1433617824 1444345782 1451132672 1527902976 1546569728 1560137216 1583053824 1701967872 1728838133 1791241892 1806955799 1886005236 1894867456 1911490432 1925794376 1954082064 1971224508 2037203968 2100866592 2110738432 2176699008 2319854592 2340205824 2359496002 2514673648 2605442752 2628299344 2686862838 2801155456 2842301184 2867235648 2888691564 2902265344 3055805952 3093139456 3120274432 3166107648 3403935744 3457676266 3539244003 3582483784 3613911598 3772010472 3789734912 3822980864 3851588752 3908164128 3942449016 4074407936 4201733184 4353398016 4639709184 4680411648 4718992004 5029347296 5186514399 5210885504 5256598688 5373725676 5420867397 5602310912 5684602368 5734471296 5777383128 5804530688 6111611904 6240548864 6332215296 6915352532 7078488006 7164967568 7227823196 7544020944 7579469824 7645961728 7703177504 7816328256 7884898032 8148815872 8403466368 8706796032 9279418368 9360823296 9437984008 10058694592 10373028798 10421771008 10513197376 10747451352 10841734794 11204621824 11369204736 11468942592 11554766256 11609061376 12223223808 12481097728 12977228011 13830705064 14156976012 14329935136 14455646392 15088041888 15158939648 15291923456 15406355008 15632656512 15769796064 16806932736 17413592064 18721646592 18875968016 19017219463 20117389184 20746057596 20843542016 21026394752 21494902704 21683469588 22409243648 22738409472 22937885184 23109532512 23218122752 24446447616 25954456022 27661410128 28313952024 28659870272 28911292784 30176083776 30583846912 30812710016 31265313024 31539592128 33613865472 34827184128 37443293184 37751936032 38034438926 38931684033 40234778368 41492115192 41687084032 42052789504 42989805408 43366939176 44818487296 45476818944 45875770368 46219065024 51908912044 55322820256 56627904048 57051658389 57319740544 57822585568 60352167552 61167693824 61625420032 62530626048 63079184256 67227730944 69654368256 75503872064 76068877852 77863368066 80469556736 82984230384 83374168064 84105579008 85979610816 86733878352 89636974592 91751540736 92438130048 93200092079 103817824088 110645640512 113255808096 114103316778 114639481088 115645171136 120704335104 123250840064 125061252096 126158368512 134455461888 142749508121 151007744128 152137755704 155726736132 160939113472 165968460768 166748336128 168211158016 171959221632 173467756704 183503081472 184876260096 186400184158 207635648176 221291281024 226511616192 228206633556 229278962176 231290342272 241408670208 246501680128 250122504192 252316737024 268910923776 279600276237 285499016242 302015488256 304275511408 311453472264 321878226944 331936921536 336422316032 343918443264 346935513408 369752520192 372800368316 415271296352 428248524363 442582562048 453023232384 456413267112 458557924352 462580684544 482817340416 493003360256 500245008384 504633474048 559200552474 570998032484 604030976512 608551022816 622906944528 643756453888 663873843072 672844632064 687836886528 693871026816 739505040384 745600736632 830542592704 856497048726 885165124096 906046464768 912826534224 917115848704 925161369088 965634680832 986006720512 1009266948096 1025201012869 1118401104948 1141996064968 1208061953024 1217102045632 1245813889056 1327747686144 1375673773056 1387742053632 1479010080768 1491201473264 1661085185408 1712994097452 1770330248192 1812092929536 1825653068448 1834231697408 1850322738176 1931269361664 2018533896192 2050402025738 2236802209896 2283992129936 2416123906048 2434204091264 2491627778112 2655495372288 2751347546112 2775484107264 2958020161536 2982402946528 3075603038607 3322170370816 3425988194904 3540660496384 3624185859072 3651306136896 3700645476352 4100804051476 4473604419792 4567984259872 4832247812096 4868408182528 4983255556224 5310990744576 5502695092224 5550968214528 5964805893056 6151206077214 6644340741632 6851976389808 7081320992768 7248371718144 7302612273792 7401290952704 8201608102952 8947208839584 9135968519744 9736816365056 9966511112448 10621981489152 11101936429056 11277211141559 11929611786112 12302412154428 13288681483264 13703952779616 14496743436288 14605224547584 16403216205904 17894417679168 18271937039488 19473632730112 19933022224896 21243962978304 22203872858112 22554422283118 23859223572224 24604824308856 26577362966528 27407905559232 29210449095168 32806432411808 33831633424677 35788835358336 36543874078976 38947265460224 39866044449792 45108844566236 47718447144448 49209648617712 53154725933056 54815811118464 58420898190336 65612864823616 67663266849354 71577670716672 73087748157952 77894530920448 79732088899584 90217689132472 95436894288896 98419297235424 109631622236928 116841796380672 131225729647232 135326533698708 143155341433344 146175496315904 159464177799168 180435378264944 190873788577792 196838594470848 219263244473856 233683592761344 262451459294464 270653067397416 286310682866688 292350992631808 360870756529888 381747577155584 393677188941696 438526488947712 524902918588928 541306134794832 572621365733376 584701985263616 721741513059776 787354377883392 877052977895424 1049805837177856 1082612269589664 1145242731466752 1443483026119552 1574708755766784 1754105955790848 2099611674355712 2165224539179328 2886966052239104 3149417511533568 4199223348711424 4330449078358656 5773932104478208 6298835023067136 8660898156717312 11547864208956416 12597670046134272 17321796313434624 23095728417912832 34643592626869248 46191456835825664 69287185253738496 138574370507476992
- Sum of all divisors σ(n): 412045811858241792
- Sum of proper divisors (its aliquot sum) s(n): 273471441350764800
- 138574370507476992 is an abundant number, because the sum of its proper divisors (273471441350764800) is greater than itself. Its abundance is 134897070843287808
Bases of 138574370507476992
- Binary: 1111011000101000010100111111000010001001001010000000000002
- Hexadecimal: 0x1EC50A7E1125000
- Base-36: 11WGIIYZXKAO
Squares and roots of 138574370507476992
- 138574370507476992 squared (1385743705074769922) is 19202856161543509169322977409368064
- 138574370507476992 cubed (1385743705074769923) is 2661023704531517693396921031399854819109737739583488
-
The
square root of 138574370507476992 is 372255786.3989181727 -
The
cube root of 138574370507476992 is 517480.8761803269
Scales and comparisons
How big is 138574370507476992?- 138,574,370,507,476,992 seconds is equal to 4,406,236,343 years, 24 weeks, 1 day, 17 hours, 23 minutes, 12 seconds.
-
To count from 1 to 138,574,370,507,476,992 would take you about thirteen billion, two hundred eighteen million, seven hundred nine thousand and thirty 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 138574370507476992 cubic inches would be around 43123.4 feet tall.
Recreational maths with 138574370507476992
- 138574370507476992 backwards is 299674705073475831
- The number of decimal digits it has is: 18
- The sum of 138574370507476992's digits is 87
- More coming soon!
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The information we have on file for 138574370507476992 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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