138673990381248
138,673,990,381,248 is an even composite number composed of five prime numbers multiplied together.
What does the number 138673990381248 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1008 divisors.
138673990381248 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 138673990381248:
26 × 37 × 72 × 1972 × 521
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 197 × 197 × 521)See below for interesting mathematical facts about the number 138673990381248 from the Numbermatics database.
Names of 138673990381248
- Cardinal: 138673990381248 can be written as One hundred thirty-eight trillion, six hundred seventy-three billion, nine hundred ninety million, three hundred eighty-one thousand, two hundred forty-eight.
Scientific notation
- Scientific notation: 1.38673990381248 × 1014
Factors of 138673990381248
Divisors of 138673990381248
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 81 84 96 98 108 112 126 144 147 162 168 189 192 196 197 216 224 243 252 288 294 324 336 378 392 394 432 441 448 486 504 521 567 576 588 591 648 672 729 756 784 788 864 882 972 1008 1042 1134 1176 1182 1296 1323 1344 1379 1458 1512 1563 1568 1576 1701 1728 1764 1773 1944 2016 2084 2187 2268 2352 2364 2592 2646 2758 2916 3024 3126 3136 3152 3402 3528 3546 3647 3888 3969 4032 4137 4168 4374 4536 4689 4704 4728 5103 5184 5292 5319 5516 5832 6048 6252 6304 6804 7056 7092 7294 7776 7938 8274 8336 8748 9072 9378 9408 9456 9653 10206 10584 10638 10941 11032 11664 11907 12096 12411 12504 12608 13608 14067 14112 14184 14588 15309 15552 15876 15957 16548 16672 17496 18144 18756 18912 19306 20412 21168 21276 21882 22064 23328 23814 24822 25008 25529 27216 28134 28224 28368 28959 29176 30618 31752 31914 32823 33096 33344 34992 35721 36288 37233 37512 37824 38612 38809 40824 42201 42336 42552 43764 44128 46656 47628 47871 49644 50016 51058 54432 56268 56736 57918 58352 61236 63504 63828 65646 66192 69984 71442 74466 75024 76587 77224 77618 81648 84402 84672 85104 86877 87528 88256 95256 95742 98469 99288 100032 102116 102637 107163 108864 111699 112536 113472 115836 116427 116704 122472 126603 127008 127656 131292 132384 139968 142884 143613 148932 150048 153174 154448 155236 163296 168804 170208 173754 175056 190512 191484 196938 198576 204232 205274 214326 223398 225072 229761 231672 232854 233408 244944 253206 254016 255312 260631 262584 264768 271663 285768 287226 295407 297864 300096 306348 307911 308896 310472 326592 335097 337608 340416 347508 349281 350112 379809 381024 382968 393876 397152 408464 410548 428652 430839 446796 450144 459522 463344 465708 489888 506412 510624 521262 525168 543326 571536 574452 590814 595728 612696 615822 617792 620944 670194 675216 689283 695016 698562 700224 718459 759618 762048 765936 781893 787752 794304 814989 816928 821096 857304 861678 886221 893592 900288 919044 923733 926688 931416 979776 1005291 1012824 1021248 1042524 1047843 1050336 1086652 1139427 1143072 1148904 1181628 1191456 1225392 1231644 1241888 1340388 1350432 1378566 1390032 1397124 1436918 1519236 1531872 1563786 1575504 1629978 1633856 1642192 1714608 1723356 1772442 1787184 1838088 1847466 1853376 1862832 1901641 2010582 2025648 2067849 2085048 2095686 2100672 2155377 2173304 2278854 2286144 2297808 2345679 2363256 2382912 2444967 2450784 2463288 2483776 2658663 2680776 2700864 2757132 2771199 2780064 2794248 2873836 3015873 3038472 3063744 3127572 3143529 3151008 3259956 3284384 3429216 3446712 3544884 3574368 3676176 3694932 3725664 3803282 4021164 4051296 4135698 4170096 4191372 4310754 4346608 4557708 4595616 4691358 4726512 4889934 4901568 4926576 5029213 5317326 5361552 5514264 5542398 5560128 5588496 5704923 5747672 6031746 6076944 6203547 6255144 6287058 6302016 6466131 6519912 6568768 6858432 6893424 7037037 7089768 7148736 7334901 7352352 7389864 7451328 7606564 7975989 8042328 8102592 8271396 8313597 8340192 8382744 8621508 8693216 9115416 9191232 9382716 9430587 9453024 9779868 9853152 10058426 10634652 10723104 11028528 11084796 11176992 11409846 11495344 12063492 12153888 12407094 12510288 12574116 12932262 13039824 13786848 14074074 14179536 14669802 14704704 14779728 15087639 15213128 15951978 16084656 16542792 16627194 16680384 16765488 17114769 17243016 17386432 18230832 18610641 18765432 18861174 18906048 19398393 19559736 19706304 20116852 20219489 21111111 21269304 21446208 22004703 22057056 22169592 22353984 22819692 22990688 24126984 24307776 24814188 24940791 25020576 25148232 25864524 26079648 27573696 28148148 28291761 28359072 29339604 29559456 30175278 30426256 31903956 32169312 33085584 33254388 33530976 34229538 34486032 36461664 37221282 37530864 37722348 38796786 39119472 40233704 40438978 42222222 42538608 44009406 44114112 44339184 45262917 45639384 45981376 48253968 49628376 49881582 50041152 50296464 51344307 51729048 52159296 55831923 56296296 56583522 56718144 58195179 58679208 59118912 60350556 60658467 60852512 63807912 64338624 66014109 66171168 66508776 67061952 68459076 68972064 72923328 74442564 74822373 75061728 75444696 77593572 78238944 80467408 80877956 84444444 84875283 85077216 88018812 88678368 90525834 91278768 96507936 99256752 99763164 100592928 102688614 103458096 111663846 112592592 113167044 116390358 117358416 120701112 121316934 121705024 127615824 132028218 132342336 133017552 135788751 136918152 137944128 141536423 148885128 149644746 150123456 150889392 154032921 155187144 156477888 160934816 161755912 168888888 169750566 170154432 174585537 176037624 177356736 181051668 181975401 182557536 193015872 198042327 198513504 199526328 201185856 205377228 206916192 223327692 224467119 225185184 226334088 232780716 234716832 241402224 242633868 255231648 264056436 266035104 271577502 273836304 283072846 297770256 299289492 301778784 308065842 310374288 321869632 323511824 337777776 339501132 349171074 352075248 362103336 363950802 365115072 396084654 397027008 399052656 407366253 410754456 413832384 424609269 446655384 448934238 450370368 452668176 462098763 465561432 469433664 482804448 485267736 510463296 523756611 528112872 532070208 543155004 545926203 547672608 566145692 594126981 595540512 598578984 603557568 616131684 620748576 647023648 675555552 679002264 698342148 704150496 724206672 727901604 792169308 798105312 814732506 821508912 849218538 893310768 897868476 905336352 924197526 931122864 965608896 970535472 990754961 1047513222 1056225744 1086310008 1091852406 1095345216 1132291384 1188253962 1191081024 1197157968 1222098759 1232263368 1241497152 1273827807 1294047296 1351111104 1358004528 1386296289 1396684296 1408300992 1448413344 1455803208 1571269833 1584338616 1596210624 1629465012 1637778609 1643017824 1698437076 1786621536 1795736952 1810672704 1848395052 1862245728 1941070944 1981509922 2095026444 2112451488 2172620016 2183704812 2264582768 2376507924 2394315936 2444197518 2464526736 2547655614 2716009056 2772592578 2793368592 2896826688 2911606416 2972264883 3142539666 3168677232 3258930024 3275557218 3286035648 3396874152 3573243072 3591473904 3666296277 3696790104 3724491456 3821483421 3882141888 3963019844 4158888867 4190052888 4224902976 4345240032 4367409624 4529165536 4753015848 4788631872 4888395036 4913335827 4929053472 5095311228 5432018112 5545185156 5586737184 5823212832 5944529766 6285079332 6337354464 6517860048 6551114436 6793748304 7182947808 7332592554 7393580208 7642966842 7926039688 8317777734 8380105776 8690480064 8734819248 8916794649 9058331072 9506031696 9776790072 9826671654 9858106944 10190622456 10998888831 11090370312 11173474368 11464450263 11646425664 11889059532 12570158664 12674708928 13035720096 13102228872 13587496608 14365895616 14665185108 14740007481 14787160416 15285933684 15852079376 16635555468 16760211552 17469638496 17833589298 19012063392 19553580144 19653343308 20381244912 21997777662 22180740624 22928900526 23778119064 25140317328 26071440192 26204457744 26750383947 27174993216 29330370216 29480014962 29574320832 30571867368 31704158752 33271110936 33520423104 34393350789 34939276992 35667178596 38024126784 39107160288 39306686616 40762489824 43995555324 44220022443 44361481248 45857801052 47556238128 50280634656 52408915488 53500767894 58660740432 58960029924 61143734736 63408317504 66542221872 68786701578 71334357192 78214320576 78613373232 80251151841 81524979648 87991110648 88440044886 88722962496 91715602104 95112476256 100561269312 103180052367 104817830976 107001535788 117321480864 117920059848 122287469472 133084443744 137573403156 142668714384 157226746464 160502303682 175982221296 176880089772 183431204208 190224952512 206360104734 214003071576 234642961728 235840119696 240753455523 244574938944 266168887488 275146806312 285337428768 309540157101 314453492928 321004607364 351964442592 353760179544 366862408416 412720209468 428006143152 471680239392 481506911046 550293612624 570674857536 619080314202 642009214728 703928885184 707520359088 722260366569 733724816832 825440418936 856012286304 943360478784 963013822092 1100587225248 1238160628404 1284018429456 1415040718176 1444520733138 1650880837872 1712024572608 1926027644184 2166781099707 2201174450496 2476321256808 2568036858912 2830081436352 2889041466276 3301761675744 3852055288368 4333562199414 4952642513616 5136073717824 5778082932552 6603523351488 7704110576736 8667124398828 9905285027232 11556165865104 15408221153472 17334248797656 19810570054464 23112331730208 34668497595312 46224663460416 69336995190624 138673990381248
- Sum of all divisors σ(n): 483465483643680
- Sum of proper divisors (its aliquot sum) s(n): 344791493262432
- 138673990381248 is an abundant number, because the sum of its proper divisors (344791493262432) is greater than itself. Its abundance is 206117502881184
Bases of 138673990381248
- Binary: 111111000011111100011011110111110101110110000002
- Hexadecimal: 0x7E1F8DEFAEC0
- Base-36: 1D5LY9F000
Squares and roots of 138673990381248
- 138673990381248 squared (1386739903812482) is 19230475608258462824390037504
- 138673990381248 cubed (1386739903812483) is 2666766789526458355822158251802373978324992
-
The
square root of 138673990381248 is 11775992.1187663845 -
The
cube root of 138673990381248 is 51760.4850599339
Scales and comparisons
How big is 138673990381248?- 138,673,990,381,248 seconds is equal to 4,409,403 years, 49 weeks, 1 day, 19 hours, 40 minutes, 48 seconds.
-
To count from 1 to 138,673,990,381,248 would take you about eleven million, twenty-three thousand, five hundred nine 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 138673990381248 cubic inches would be around 4313.4 feet tall.
Recreational maths with 138673990381248
- 138673990381248 backwards is 842183099376831
- 138673990381248 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138673990381248's digits is 72
- More coming soon!
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The information we have on file for 138673990381248 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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