13742914986893312
13,742,914,986,893,312 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13742914986893312 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1344 divisors.
13742914986893312 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 13742914986893312:
213 × 11 × 192 × 67 × 127 × 131 × 379
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 19 × 19 × 67 × 127 × 131 × 379)See below for interesting mathematical facts about the number 13742914986893312 from the Numbermatics database.
Names of 13742914986893312
- Cardinal: 13742914986893312 can be written as Thirteen quadrillion, seven hundred forty-two trillion, nine hundred fourteen billion, nine hundred eighty-six million, eight hundred ninety-three thousand, three hundred twelve.
Scientific notation
- Scientific notation: 1.3742914986893312 × 1016
Factors of 13742914986893312
Divisors of 13742914986893312
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 4 8 11 16 19 22 32 38 44 64 67 76 88 127 128 131 134 152 176 209 254 256 262 268 304 352 361 379 418 508 512 524 536 608 704 722 737 758 836 1016 1024 1048 1072 1216 1273 1397 1408 1441 1444 1474 1516 1672 2032 2048 2096 2144 2413 2432 2489 2546 2794 2816 2882 2888 2948 3032 3344 3971 4064 4096 4169 4192 4288 4826 4864 4978 5092 5588 5632 5764 5776 5896 6064 6688 7201 7942 8128 8192 8338 8384 8509 8576 8777 9652 9728 9956 10184 11176 11264 11528 11552 11792 12128 13376 14003 14402 15884 16256 16637 16676 16768 17018 17152 17554 19304 19456 19912 20368 22352 22528 23056 23104 23584 24187 24256 25393 26543 26752 27379 28006 28804 31768 32512 33274 33352 33536 34036 34304 35108 38608 38912 39824 40736 44704 45056 45847 46112 46208 47168 47291 48133 48374 48512 49649 50786 53086 53504 54758 56012 57608 63536 65024 66548 66704 67072 68072 68608 70216 77216 77824 79211 79648 81472 89408 90112 91694 92224 92416 93599 94336 94582 96266 96547 96748 97024 99298 101572 106172 107008 109516 112024 115216 127072 130048 133096 133408 134144 136144 136819 137216 140432 154432 155648 158422 159296 161671 162944 166763 178816 183007 183388 184448 184832 187198 188672 189164 192532 193094 193496 194048 198596 203144 212344 214016 219032 224048 230432 254144 260096 266057 266192 266816 268288 272288 273638 274432 279323 280864 308864 316103 316844 318592 323342 325888 333526 357632 366014 366776 368896 369664 374396 377344 378328 385064 386188 386992 388096 397192 406288 424688 428032 438064 448096 460864 482467 504317 508288 520192 520201 529463 532114 532384 533632 536576 544576 546139 547276 548864 558646 561728 617728 632206 633688 637184 646684 651776 667052 715264 732028 733552 737792 739328 748792 754688 756656 770128 772376 773984 776192 794384 812576 849376 856064 876128 896192 914527 921728 943331 964934 1008634 1016576 1040384 1040402 1058926 1064228 1064768 1067264 1073152 1089152 1092278 1094552 1114679 1117292 1123456 1235456 1264412 1267376 1274368 1293368 1303552 1334104 1430528 1464056 1467104 1475584 1478656 1497584 1505009 1509376 1513312 1540256 1544752 1547968 1552384 1588768 1625152 1698752 1712128 1752256 1778381 1792384 1829054 1834393 1843456 1886662 1929868 2017268 2033152 2080804 2117852 2128456 2129536 2134528 2178304 2184556 2189104 2229358 2234584 2246912 2470912 2528824 2534752 2548736 2586736 2607104 2668208 2861056 2928112 2934208 2951168 2957312 2995168 3010018 3018752 3026624 3071749 3080512 3089504 3095936 3104768 3168497 3177536 3224911 3250304 3326483 3397504 3477133 3504512 3556762 3584768 3658108 3668786 3686912 3773324 3859736 4034536 4066304 4161608 4235704 4256912 4259072 4269056 4356608 4369112 4378208 4458716 4469168 4493824 4941824 5057648 5069504 5097472 5173472 5214208 5307137 5336416 5722112 5856224 5868416 5902336 5990336 6005957 6020036 6037504 6053248 6143498 6161024 6179008 6191872 6305423 6336994 6355072 6449822 6500608 6652966 6795008 6954266 7009024 7113524 7169536 7316216 7337572 7373824 7546648 7719472 8069072 8132608 8323216 8471408 8513824 8518144 8538112 8713216 8738224 8756416 8917432 8938336 8987648 9166873 9883648 10059797 10115296 10139008 10194944 10346944 10376641 10428416 10614274 10672832 11444224 11712448 11736832 11804672 11980672 12011914 12040072 12106496 12261469 12286996 12322048 12358016 12383744 12610846 12673988 12710144 12899644 13001216 13305932 13590016 13908532 14018048 14227048 14339072 14632432 14675144 14747648 15093296 15438944 16138144 16265216 16646432 16942816 17027648 17036288 17076224 17376013 17426432 17476448 17512832 17834864 17876672 17923289 17975296 18333746 19767296 20119594 20230592 20278016 20389888 20693888 20753282 21178901 21228548 21345664 23424896 23473664 23961344 24023828 24080144 24212992 24522938 24573992 24644096 24716032 24767488 25221692 25347976 25420288 25799288 26002432 26611864 27180032 27817064 28036096 28454096 28678144 29264864 29350288 29495296 30186592 30877888 32276288 32530432 33292864 33789239 33885632 34055296 34072576 34152448 34752026 34852864 34853467 34952896 35025664 35474021 35669728 35753344 35846578 35950592 36591313 36667492 40239188 40461184 40556032 41387776 41506564 42357802 42457096 42691328 46849792 46947328 47922688 48047656 48160288 48425984 49045876 49147984 49288192 49432064 49534976 50443384 50695952 50840576 51598576 52004864 53223728 54360064 55634128 56072192 56908192 57356288 58529728 58700576 58990592 60373184 61273309 61755776 63203177 64552576 66065527 66585728 67578478 67771264 68110592 68145152 69359653 69504052 69705728 69706934 69905792 70051328 70948042 71339456 71506688 71693156 71901184 73182626 73334984 80478376 80922368 81112064 82775552 83013128 84715604 84914192 85382656 93699584 93894656 95845376 96095312 96320576 96851968 98091752 98295968 98576384 98864128 99069952 100835603 100886768 101391904 101681152 103197152 104009728 106447456 108720128 111268256 112144384 113816384 114712576 117059456 117401152 119803037 120746368 122546618 123511552 126406354 129105152 132131054 133171456 135156956 135542528 136221184 136290304 138719306 139008104 139413868 139811584 140102656 141896084 142678912 143013376 143386312 146365252 146669968 160956752 161844736 162224128 165551104 166026256 169431208 169828384 170765312 187399168 187789312 191136143 191690752 192190624 192641152 193703936 196183504 196591936 197152768 197156179 197728256 198139904 201671206 201773536 202783808 203362304 206394304 208019456 212894912 217440256 222536512 224288768 227632768 232967911 234118912 234802304 239606074 241492736 245093236 247023104 252812708 258210304 264262108 266342912 270313912 271085056 272442368 277438612 278016208 278827736 279623168 280205312 283792168 285357824 286026752 286772624 292730504 293339936 321913504 323689472 324448256 331102208 332052512 338862416 339656768 341530624 374798336 375578624 382272286 383381504 384381248 385282304 387407872 392367008 393183872 394305536 394312358 395456512 402399119 403342412 403547072 405567616 406724608 412788608 422463341 425789824 445073024 455265536 465935822 468237824 469604608 479212148 482985472 490186472 494046208 505625416 516420608 528524216 532685824 540627824 542170112 544884736 554877224 556032416 557655472 559246336 560410624 567584336 570715648 572053504 573545248 585461008 586679872 643827008 647378944 648896512 662204416 664105024 674006399 677724832 679313536 683061248 695234947 749596672 764544572 766763008 768762496 770564608 784734016 786367744 788624716 790913024 804798238 806684824 807094144 811135232 825577216 844926682 851579648 890146048 910531072 931871644 936475648 939209216 958424296 965970944 980372944 988092416 1011250832 1032841216 1057048432 1065371648 1081255648 1084340224 1089769472 1109754448 1112064832 1115310944 1118492672 1120821248 1135168672 1141431296 1144107008 1147090496 1164192871 1170922016 1173359744 1200860363 1287654016 1294757888 1317833407 1324408832 1328210048 1348012798 1355449664 1358627072 1366122496 1390469894 1499193344 1529089144 1537524992 1541129216 1569468032 1572735488 1577249432 1609596476 1613369648 1614188288 1622270464 1651154432 1689853364 1703159296 1780292096 1821062144 1863743288 1872951296 1878418432 1916848592 1931941888 1960745888 1976184832 2022501664 2065682432 2114096864 2130743296 2162511296 2168680448 2179538944 2219508896 2224129664 2230621888 2236985344 2270337344 2276257703 2282862592 2288214016 2294180992 2328385742 2341844032 2346719488 2401720726 2575308032 2589515776 2635666814 2656420096 2696025596 2710899328 2717254144 2780939788 3058178288 3075049984 3082258432 3138936064 3145470976 3154498864 3219192952 3226739296 3228376576 3244540928 3302308864 3379706728 3406318592 3560584192 3642124288 3727486576 3745902592 3756836864 3833697184 3863883776 3921491776 3952369664 4045003328 4131364864 4228193728 4261486592 4325022592 4337360896 4426390309 4439017792 4448259328 4461243776 4473970688 4540674688 4552515406 4565725184 4588361984 4647096751 4656771484 4683688064 4693438976 4803441452 5150616064 5271333628 5312840192 5392051192 5421798656 5434508288 5561879576 6116356576 6150099968 6164516864 6277872128 6290941952 6308997728 6438385904 6453478592 6456753152 6489081856 6604617728 6759413456 6812637184 7121168384 7284248576 7454973152 7491805184 7513673728 7667394368 7727767552 7842983552 8026803479 8090006656 8456387456 8650045184 8852780618 8878035584 8896518656 8922487552 9081349376 9105030812 9131450368 9176723968 9294193502 9313542968 9367376128 9386877952 9606882904 10301232128 10542667256 10625680384 10784102384 10843597312 10869016576 11123759152 12232713152 12300199936 12329033728 12555744256 12581883904 12617995456 12806121581 12876771808 12906957184 12913506304 12978163712 13209235456 13209463993 13518826912 13625274368 14242336768 14568497152 14909946304 15027347456 15334788736 15685967104 16053606958 16180013312 16912774912 17300090368 17705561236 17756071168 17793037312 17844975104 18162698752 18210061624 18353447936 18588387004 18627085936 18734752256 18773755904 19213765808 20602464256 21085334512 21251360768 21568204768 21687194624 21738033152 22247518304 24465426304 24600399872 25038834733 25111488512 25163767808 25235990912 25612243162 25753543616 25813914368 25827012608 25956327424 26418470912 26418927986 27037653824 27250548736 28484673536 29819892608 30669577472 31371934208 32107213916 32360026624 33825549824 34600180736 35411122472 35512142336 35586074624 35689950208 36325397504 36420123248 36706895872 37176774008 37254171872 37469504512 37547511808 38427531616 41204928512 42170669024 42502721536 43136409536 43374389248 43476066304 44495036608 48930852608 49200799744 50077669466 50222977024 50471981824 51224486324 51507087232 51627828736 51654025216 52837855972 54075307648 59639785216 61339154944 62743868416 64214427832 64720053248 67651099648 69200361472 70822244944 71024284672 71172149248 71379900416 72650795008 72840246496 73413791744 74353548016 74508343744 74939009024 75095023616 76855063232 82409857024 84341338048 85005443072 86272819072 86748778496 88294838269 88990073216 97861705216 100155338932 100445954048 100943963648 102448972648 103014174464 103255657472 105675711944 108150615296 119279570432 122678309888 125487736832 128428855664 129440106496 135302199296 138400722944 141644489888 142048569344 142344298496 142759800832 145301590016 145680492992 146827583488 148707096032 149016687488 149878018048 152509266101 153710126464 168682676096 172545638144 173497556992 176589676538 177980146432 195723410432 200310677864 201887927296 204897945296 206028348928 206511314944 211351423888 216301230592 238559140864 245356619776 250975473664 256857711328 258880212992 270604398592 276801445888 283288979776 284097138688 285519601664 290603180032 291360985984 297414192064 298033374976 299756036096 305018532202 307420252928 337365352192 345091276288 353179353076 355960292864 391446820864 400621355728 403775854592 409795890592 412056697856 413022629888 422702847776 432602461184 477118281728 490713239552 501950947328 513715422656 517760425984 541208797184 566577959552 568194277376 582721971968 594828384128 596066749952 610037064404 614840505856 674730704384 690182552576 706358706152 711920585728 782893641728 801242711456 807551709184 819591781184 824113395712 826045259776 845405695552 865204922368 954236563456 981426479104 1027430845312 1133155919104 1165443943936 1189656768256 1192133499904 1220074128808 1229681011712 1349461408768 1380365105152 1412717412304 1423841171456 1565787283456 1602485422912 1615103418368 1639183562368 1648226791424 1677601927111 1690811391104 1730409844736 1908473126912 2054861690624 2266311838208 2330887887872 2379313536512 2384266999808 2440148257616 2459362023424 2698922817536 2760730210304 2825434824608 2847682342912 3204970845824 3278367124736 3296453582848 3355203854222 3381622782208 3460819689472 4109723381248 4532623676416 4661775775744 4758627073024 4768533999616 4880296515232 4918724046848 5397845635072 5521460420608 5650869649216 5695364685824 6409941691648 6556734249472 6710407708444 6763245564416 8219446762496 9065247352832 9323551551488 9517254146048 9537067999232 9760593030464 9837448093696 10795691270144 11301739298432 12819883383296 13113468498944 13420815416888 13526491128832 16438893524992 18130494705664 18647103102976 19034508292096 19521186060928 22603478596864 25639766766592 26226936997888 26841630833776 27052982257664 32877787049984 36260989411328 38069016584192 39042372121856 45206957193728 51279533533184 52453873995776 53683261667552 54105964515328 65755574099968 78084744243712 90413914387456 102559067066368 104907747991552 107366523335104 108211929030656 156169488487424 180827828774912 205118134132736 214733046670208 312338976974848 361655657549824 429466093340416 624677953949696 723311315099648 858932186680832 1249355907899392 1717864373361664 3435728746723328 6871457493446656 13742914986893312
- Sum of all divisors σ(n): 32702131694960640
- Sum of proper divisors (its aliquot sum) s(n): 18959216708067328
- 13742914986893312 is an abundant number, because the sum of its proper divisors (18959216708067328) is greater than itself. Its abundance is 5216301721174016
Bases of 13742914986893312
- Binary: 1100001101001100011011101111011111100011100000000000002
- Hexadecimal: 0x30D31BBDF8E000
- Base-36: 3RBGFZJN9Q8
Squares and roots of 13742914986893312
- 13742914986893312 squared (137429149868933122) is 188867712336976801940745270329344
- 13742914986893312 cubed (137429149868933123) is 2595592914416093367168991480513053852077630947328
-
The
square root of 13742914986893312 is 117230179.5055066527 -
The
cube root of 13742914986893312 is 239529.8375745105
Scales and comparisons
How big is 13742914986893312?- 13,742,914,986,893,312 seconds is equal to 436,982,186 years, 49 weeks, 5 days, 8 minutes, 32 seconds.
-
To count from 1 to 13,742,914,986,893,312 would take you about one billion, three hundred ten million, nine hundred forty-six thousand, five hundred sixty 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 13742914986893312 cubic inches would be around 19960.8 feet tall.
Recreational maths with 13742914986893312
- 13742914986893312 backwards is 21339868941924731
- The number of decimal digits it has is: 17
- The sum of 13742914986893312's digits is 80
- More coming soon!
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"Number 13742914986893312 - Facts about the integer". Numbermatics.com. 2024. Web. 28 June 2024.
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Numbermatics. (2024). Number 13742914986893312 - Facts about the integer. Retrieved 28 June 2024, from https://numbermatics.com/n/13742914986893312/
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The information we have on file for 13742914986893312 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 13742914986893312, math, Factors of 13742914986893312, curriculum, school, college, exams, university, Prime factorization of 13742914986893312, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, seven hundred forty-two trillion, nine hundred fourteen billion, nine hundred eighty-six million, eight hundred ninety-three thousand, three hundred twelve.