138616902825984
138,616,902,825,984 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138616902825984 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
138616902825984 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138616902825984:
211 × 32 × 11 × 17 × 29 × 293 × 4733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 17 × 29 × 293 × 4733)See below for interesting mathematical facts about the number 138616902825984 from the Numbermatics database.
Names of 138616902825984
- Cardinal: 138616902825984 can be written as One hundred thirty-eight trillion, six hundred sixteen billion, nine hundred two million, eight hundred twenty-five thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.38616902825984 × 1014
Factors of 138616902825984
Divisors of 138616902825984
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 17 18 22 24 29 32 33 34 36 44 48 51 58 64 66 68 72 87 88 96 99 102 116 128 132 136 144 153 174 176 187 192 198 204 232 256 261 264 272 288 293 306 319 348 352 374 384 396 408 464 493 512 522 528 544 561 576 586 612 638 696 704 748 768 792 816 879 928 957 986 1024 1044 1056 1088 1122 1152 1172 1224 1276 1392 1408 1479 1496 1536 1584 1632 1683 1758 1856 1914 1972 2048 2088 2112 2176 2244 2304 2344 2448 2552 2637 2784 2816 2871 2958 2992 3072 3168 3223 3264 3366 3516 3712 3828 3944 4176 4224 4352 4437 4488 4608 4688 4733 4896 4981 5104 5274 5423 5568 5632 5742 5916 5984 6144 6336 6446 6528 6732 7032 7424 7656 7888 8352 8448 8497 8704 8874 8976 9216 9376 9466 9669 9792 9962 10208 10548 10846 11136 11264 11484 11832 11968 12672 12892 13056 13464 14064 14199 14848 14943 15312 15776 16269 16704 16896 16994 17408 17748 17952 18432 18752 18932 19338 19584 19924 20416 21096 21692 22272 22528 22968 23664 23936 25344 25491 25784 26112 26928 28128 28398 29007 29696 29886 30624 31552 32538 33408 33792 33988 34816 35496 35904 37504 37864 38676 39168 39848 40832 42192 42597 43384 44544 44829 45936 47328 47872 48807 50688 50982 51568 52063 52224 53856 54791 56256 56796 58014 59392 59772 61248 63104 65076 66816 67584 67976 70992 71808 75008 75728 76473 77352 78336 79696 80461 81664 84384 85194 86768 89088 89658 91872 93467 94656 95744 97614 101376 101964 103136 104126 104448 107712 109582 112512 113592 116028 119544 122496 126208 130152 133632 135952 137257 141984 143616 144449 150016 151456 152946 154704 156189 156672 159392 160922 163328 164373 168768 170388 173536 178176 179316 183744 186934 189312 191488 195228 202752 203928 206272 208252 215424 219164 225024 227184 232056 239088 241383 244992 252416 260304 267264 271904 274514 280401 283968 287232 288898 300032 302912 305892 309408 312378 313344 318784 321844 326656 328746 337536 340776 347072 358632 367488 373868 378624 382976 390456 407856 411771 412544 416504 430848 433347 438328 450048 454368 464112 468567 478176 482766 489984 493119 504832 520608 534528 543808 549028 560802 567936 574464 577796 600064 605824 611784 618816 624756 637568 643688 653312 657492 675072 681552 694144 717264 724149 734976 747736 757248 780912 815712 823542 825088 833008 841203 861696 866694 876656 885071 900096 908736 928224 937134 956352 965532 979968 986238 1009664 1041216 1087616 1098056 1121604 1135872 1148928 1155592 1211648 1223568 1235313 1237632 1249512 1275136 1287376 1300041 1314984 1350144 1363104 1386769 1388288 1434528 1448298 1469952 1495472 1509827 1514496 1561824 1588939 1631424 1647084 1650176 1666016 1682406 1723392 1733388 1753312 1770142 1800192 1817472 1856448 1874268 1912704 1931064 1959936 1972476 2082432 2175232 2196112 2243208 2271744 2311184 2333369 2423296 2447136 2470626 2475264 2499024 2550272 2574752 2600082 2629968 2655213 2700288 2726208 2773538 2776576 2869056 2896596 2939904 2990944 3019654 3028992 3123648 3177878 3262848 3294168 3300352 3332032 3364812 3446784 3466776 3506624 3540284 3634944 3712896 3748536 3825408 3862128 3944952 4160307 4164864 4350464 4392224 4486416 4529481 4543488 4622368 4666738 4766817 4846592 4894272 4941252 4950528 4998048 5100544 5149504 5200164 5259936 5310426 5400576 5452416 5547076 5553152 5738112 5793192 5879808 5981888 6039308 6247296 6355756 6525696 6588336 6600704 6664064 6729624 6933552 7000107 7013248 7080568 7269888 7425792 7497072 7650816 7724256 7889904 7965639 8320614 8329728 8700928 8784448 8972832 9058962 9086976 9244736 9333476 9533634 9693184 9788544 9882504 9901056 9996096 10201088 10299008 10400328 10519872 10620852 10904832 11094152 11106304 11476224 11586384 11963776 12078616 12480921 12494592 12711512 13051392 13176672 13328128 13459248 13588443 13867104 14000214 14026496 14161136 14300451 14539776 14851584 14994144 15254459 15301632 15448512 15779808 15931278 16641228 16659456 17401856 17568896 17945664 18117924 18489472 18666952 19067268 19577088 19765008 19802112 19992192 20598016 20800656 21000321 21039744 21241704 21809664 22188304 22952448 23172768 23575073 23927552 24157232 24961842 24989184 25423024 25667059 26102784 26353344 26656256 26918496 27176886 27734208 28000428 28052992 28322272 28600902 29079552 29703168 29988288 30508918 30603264 30897024 31559616 31862556 33282456 33318912 35137792 35891328 36235848 36978944 37333904 38134536 39154176 39530016 39984384 40216301 41196032 41601312 42000642 42079488 42483408 43619328 44376608 45763377 45904896 46345536 47150146 47855104 48314464 49923684 49978368 50846048 51334118 52205568 52706688 53312512 53836992 54353772 55468416 56000856 56105984 56644544 57201804 59406336 59976576 61017836 61794048 63119232 63725112 66564912 70275584 70725219 71782656 72471696 73957888 74667808 76269072 77001177 78308352 79060032 79968768 80432602 82392064 83202624 84001284 84158976 84966816 87238656 88753216 91526754 91809792 92691072 94300292 95710208 96628928 99847368 99956736 101692096 102668236 105413376 106625024 107673984 108707544 110936832 112001712 112211968 113289088 114403608 119953152 120648903 122035672 123588096 126238464 127450224 133129824 137290131 140551168 141450438 143565312 144943392 147915776 149335616 152538144 154002354 156616704 158120064 159937536 160865204 164784128 166405248 168002568 168317952 169933632 177506432 183053508 185382144 188600584 191420416 193257856 199694736 203384192 205336472 210826752 212175657 215347968 217415088 221873664 224003424 226578176 228807216 231003531 239906304 241297806 244071344 247176192 252476928 254900448 259325803 266259648 274580262 281102336 282900876 287130624 289886784 295831552 298671232 305076288 308004708 316240128 319875072 321730408 332810496 336005136 336635904 339867264 355012864 361946709 366107016 370764288 377201168 386515712 399389472 406768384 410672944 421653504 424351314 430695936 434830176 442379311 443747328 448006848 453156352 457614432 462007062 479812608 482595612 488142688 494352384 504953856 509800896 518651606 532519296 549160524 565801752 574261248 579773568 597342464 610152576 616009416 632480256 643460816 665620992 672010272 679734528 683677117 710025728 723893418 732214032 741528576 754402336 773031424 777977409 798778944 813536768 821345888 843307008 848702628 861391872 869660352 884758622 887494656 896013696 906312704 915228864 924014124 959625216 965191224 976285376 1009907712 1019601792 1037303212 1065038592 1098321048 1131603504 1159547136 1194684928 1220305152 1232018832 1264960512 1286921632 1327137933 1331241984 1344020544 1359469056 1367354234 1420051456 1447786836 1464428064 1483057152 1508804672 1546062848 1555954818 1597557888 1627073536 1642691776 1697405256 1722783744 1739320704 1769517244 1792027392 1812625408 1830457728 1848028248 1930382448 1952570752 2039203584 2051031351 2074606424 2130077184 2196642096 2263207008 2319094272 2333932227 2389369856 2440610304 2464037664 2529921024 2573843264 2654275866 2662483968 2688041088 2718938112 2734708468 2840102912 2895573672 2928856128 3017609344 3092125696 3111909636 3195115776 3254147072 3285383552 3394810512 3478641408 3539034488 3584054784 3660915456 3696056496 3860764896 3905141504 3981413799 4078407168 4102062702 4149212848 4260154368 4393284192 4526414016 4638188544 4667864454 4778739712 4881220608 4928075328 5147686528 5308551732 5376082176 5437876224 5469416936 5791147344 5857712256 6035218688 6153094053 6223819272 6390231552 6570767104 6789621024 6957282816 7078068976 7168109568 7321830912 7392112992 7520448287 7721529792 7810283008 7962827598 8156814336 8204125404 8298425696 8520308736 8786568384 9052828032 9276377088 9335728908 9762441216 9856150656 10295373056 10617103464 10752164352 10938833872 11582294688 11715424512 12070437376 12306188106 12447638544 12780463104 13141534208 13579242048 13914565632 14156137952 14336219136 14643661824 14784225984 15040896574 15443059584 15620566016 15925655196 16313628672 16408250808 16596851392 17573136768 18105656064 18671457816 19712301312 20590746112 21234206928 21504328704 21877667744 22561344861 23164589376 23430849024 24140874752 24612376212 24895277088 25560926208 26283068416 27158484096 27829131264 28312275904 29287323648 29568451968 30081793148 30886119168 31241132032 31851310392 32816501616 33193702784 35146273536 36211312128 37342915632 39424602624 41181492224 42468413856 43008657408 43755335488 45122689722 46329178752 46861698048 48281749504 49224752424 49790554176 52566136832 54316968192 56624551808 59136903936 60163586296 61772238336 63702620784 65633003232 66387405568 67684034583 70292547072 72422624256 74685831264 78849205248 82362984448 84936827712 87510670976 90245379444 92658357504 93723396096 98449504848 99581108352 108633936384 113249103616 118273807872 120327172592 123544476672 127405241568 131266006464 132774811136 135368069166 140585094144 144845248512 149371662528 157698410496 169873655424 175021341952 180490758888 185316715008 196899009696 199162216704 217267872768 226498207232 236547615744 240654345184 247088953344 254810483136 262532012928 265549622272 270736138332 281170188288 298743325056 339747310848 350042683904 360981517776 370633430016 393798019392 398324433408 434535745536 452996414464 473095231488 481308690368 509620966272 525064025856 531099244544 541472276664 597486650112 679494621696 700085367808 721963035552 741266860032 787596038784 796648866816 905992828928 962617380736 1019241932544 1050128051712 1082944553328 1194973300224 1358989243392 1400170735616 1443926071104 1575192077568 1593297733632 1925234761472 2038483865088 2100256103424 2165889106656 2389946600448 2717978486784 2887852142208 3150384155136 3850469522944 4076967730176 4200512206848 4331778213312 4779893200896 5775704284416 6300768310272 7700939045888 8153935460352 8663556426624 11551408568832 12601536620544 15401878091776 17327112853248 23102817137664 34654225706496 46205634275328 69308451412992 138616902825984
- Sum of all divisors σ(n): 480117845188800
- Sum of proper divisors (its aliquot sum) s(n): 341500942362816
- 138616902825984 is an abundant number, because the sum of its proper divisors (341500942362816) is greater than itself. Its abundance is 202884039536832
Bases of 138616902825984
- Binary: 111111000010010010000110100000010111000000000002
- Hexadecimal: 0x7E124340B800
- Base-36: 1D4VQ4YKG0
Squares and roots of 138616902825984
- 138616902825984 squared (1386169028259842) is 19214645749068291045385568256
- 138616902825984 cubed (1386169028259843) is 2663474682634305845544112177988016122363904
-
The
square root of 138616902825984 is 11773567.9734727823 -
The
cube root of 138616902825984 is 51753.3813843471
Scales and comparisons
How big is 138616902825984?- 138,616,902,825,984 seconds is equal to 4,407,588 years, 38 weeks, 3 days, 5 hours, 26 minutes, 24 seconds.
-
To count from 1 to 138,616,902,825,984 would take you about eleven million, eighteen thousand, nine hundred seventy-one 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 138616902825984 cubic inches would be around 4312.8 feet tall.
Recreational maths with 138616902825984
- 138616902825984 backwards is 489528209616831
- 138616902825984 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138616902825984's digits is 72
- More coming soon!
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The information we have on file for 138616902825984 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 138616902825984, math, Factors of 138616902825984, curriculum, school, college, exams, university, Prime factorization of 138616902825984, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, six hundred sixteen billion, nine hundred two million, eight hundred twenty-five thousand, nine hundred eighty-four.