3968624325120
3,968,624,325,120 is an even composite number composed of eight prime numbers multiplied together.
What does the number 3968624325120 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1920 divisors.
3968624325120 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 3968624325120:
29 × 3 × 5 × 7 × 13 × 19 × 312 × 311
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 13 × 19 × 31 × 31 × 311)See below for interesting mathematical facts about the number 3968624325120 from the Numbermatics database.
Names of 3968624325120
- Cardinal: 3968624325120 can be written as Three trillion, nine hundred sixty-eight billion, six hundred twenty-four million, three hundred twenty-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 3.96862432512 × 1012
Factors of 3968624325120
Divisors of 3968624325120
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 19 20 21 24 26 28 30 31 32 35 38 39 40 42 48 52 56 57 60 62 64 65 70 76 78 80 84 91 93 95 96 104 105 112 114 120 124 128 130 133 140 152 155 156 160 168 182 186 190 192 195 208 210 217 224 228 240 247 248 256 260 266 273 280 285 304 310 311 312 320 336 364 372 380 384 390 399 403 416 420 434 448 455 456 465 480 494 496 512 520 532 546 560 570 589 608 620 622 624 640 651 665 672 728 741 744 760 768 780 798 806 832 840 868 896 910 912 930 933 960 961 988 992 1040 1064 1085 1092 1120 1140 1178 1209 1216 1235 1240 1244 1248 1280 1302 1330 1344 1365 1456 1482 1488 1520 1536 1555 1560 1596 1612 1664 1680 1729 1736 1767 1792 1820 1824 1860 1866 1920 1922 1976 1984 1995 2015 2080 2128 2170 2177 2184 2240 2280 2356 2418 2432 2470 2480 2488 2496 2560 2604 2660 2688 2730 2821 2883 2912 2945 2964 2976 3040 3110 3120 3192 3224 3255 3328 3360 3458 3472 3534 3584 3640 3648 3705 3720 3732 3840 3844 3952 3968 3990 4030 4043 4123 4160 4256 4340 4354 4368 4480 4560 4665 4712 4805 4836 4864 4940 4960 4976 4992 5187 5208 5320 5376 5460 5642 5766 5824 5890 5909 5928 5952 6045 6080 6220 6240 6384 6448 6510 6531 6656 6720 6727 6916 6944 7068 7280 7296 7410 7440 7464 7657 7680 7688 7904 7936 7980 8060 8086 8246 8320 8463 8512 8645 8680 8708 8736 8835 8960 9120 9330 9424 9610 9641 9672 9728 9880 9920 9952 9984 10374 10416 10640 10752 10885 10920 11284 11532 11648 11780 11818 11856 11904 12090 12129 12160 12369 12440 12480 12493 12768 12896 13020 13062 13440 13454 13832 13888 14105 14136 14415 14560 14592 14820 14880 14928 15314 15376 15808 15872 15960 16120 16172 16492 16640 16926 17024 17290 17360 17416 17472 17670 17727 17920 18240 18259 18660 18848 19220 19282 19344 19760 19840 19904 19968 20181 20215 20615 20748 20832 21280 21770 21840 22568 22971 23064 23296 23560 23636 23712 23808 24180 24258 24320 24738 24880 24960 24986 25536 25792 25935 26040 26124 26880 26908 27664 27776 28210 28272 28301 28830 28923 29120 29184 29545 29640 29760 29856 30628 30752 31616 31920 32240 32344 32655 32984 33280 33635 33852 34048 34580 34720 34832 34944 35340 35454 36480 36518 37320 37479 37696 38285 38440 38564 38688 39520 39680 39808 40362 40430 41230 41363 41496 41664 42315 42560 43540 43680 45136 45942 46128 46592 47120 47272 47424 47616 48205 48360 48516 48640 49476 49760 49920 49972 51072 51584 51870 52080 52248 53599 53760 53816 54777 55328 55552 56420 56544 56602 57660 57846 58240 59090 59280 59520 59712 60645 61256 61504 61845 62465 63232 63840 64480 64688 65310 65968 67270 67487 67704 68096 69160 69440 69664 69888 70680 70908 72960 73036 74640 74958 75392 76570 76817 76880 77128 77376 79040 79360 79616 80724 80860 82460 82726 82992 83328 84630 84903 85120 87080 87360 87451 88635 90272 91295 91884 92256 94240 94544 94848 96410 96720 97032 98952 99520 99840 99944 100905 102144 103168 103740 104160 104496 107198 107632 109554 110656 111104 112840 113088 113204 114855 115320 115692 116480 118180 118560 119040 119424 121290 122512 123008 123690 124089 124930 125333 126464 127680 127813 128960 129376 130620 131936 134540 134974 135408 138320 138880 139328 139776 141360 141505 141816 144615 145920 146072 149280 149916 150784 153140 153634 153760 154256 154752 158080 159232 160797 161448 161720 164920 165452 165984 166656 169260 169806 170240 174160 174720 174902 177270 180544 182590 183179 183768 184512 187395 188480 189088 189696 192820 193440 194064 197904 199040 199888 201810 202461 204288 206336 206815 207480 208320 208992 214396 215264 219108 221312 225680 226176 226408 229710 230451 230640 231384 232960 236360 237120 237367 238080 238848 242580 245024 246016 247380 248178 249860 250666 255360 255626 257920 258752 261240 262353 263872 267995 269080 269948 270816 273885 276640 277760 278656 282720 283010 283632 289230 292144 298560 298871 299832 301568 306280 307268 307520 308512 309504 316160 321594 322896 323440 329840 330904 331968 333312 337435 338520 339612 340480 348320 349440 349804 354540 361088 365180 366358 367536 369024 374790 375999 376960 378176 379392 383439 384085 385640 386880 388128 395808 398080 399776 403620 404922 413630 414960 416640 417984 424515 428792 430528 437255 438216 442624 451360 452352 452816 459420 460902 461280 462768 472720 474240 474734 477696 485160 490048 492032 494760 496356 499720 501332 510720 511252 515840 517504 522480 524706 527744 535990 537719 538160 539896 541632 547770 549537 553280 555520 557312 565440 566020 567264 578460 584288 597120 597742 599664 612560 614536 615040 617024 619008 620445 626665 632320 639065 643188 645792 646880 659680 661808 663936 674870 677040 679224 696640 698880 699608 709080 712101 722176 730360 732716 735072 738048 749580 751998 753920 756352 766878 768170 771280 773760 776256 791616 796160 799552 803985 807240 809844 827260 829920 833280 835968 849030 857584 861056 874510 876432 877331 885248 896613 902720 904704 905632 915895 918840 921804 922560 925536 945440 948480 949468 970320 980096 989520 992712 999440 1002664 1012305 1021440 1022504 1031680 1035008 1044960 1049412 1055488 1071980 1075438 1076320 1079792 1083264 1095540 1099074 1106560 1114624 1130880 1132040 1134528 1152255 1156920 1168576 1186835 1194240 1195484 1199328 1225120 1229072 1230080 1234048 1240890 1253330 1278130 1282253 1286376 1291584 1293760 1311765 1319360 1323616 1327872 1349740 1354080 1358448 1393280 1399216 1418160 1424202 1444352 1460720 1465432 1470144 1476096 1494355 1499160 1503996 1507840 1512704 1533756 1536340 1542560 1547520 1552512 1583232 1599104 1607970 1613157 1614480 1619688 1654520 1659840 1661569 1666560 1671936 1698060 1715168 1722112 1749020 1752864 1754662 1793226 1805440 1811264 1831790 1837680 1843608 1845120 1851072 1879995 1890880 1896960 1898936 1917195 1940640 1960192 1979040 1985424 1998880 2005328 2024610 2045008 2070016 2089920 2092097 2098824 2110976 2143960 2150876 2152640 2159584 2166528 2191080 2198148 2213120 2261760 2264080 2269056 2304510 2313840 2337152 2373670 2381327 2388480 2390968 2398656 2450240 2458144 2460160 2468096 2481780 2506660 2556260 2564506 2572752 2583168 2587520 2623530 2631993 2638720 2647232 2655744 2688595 2699480 2708160 2716896 2747685 2786560 2798432 2836320 2848404 2921440 2930864 2940288 2988710 2998320 3007992 3025408 3067512 3072680 3085120 3095040 3105024 3166464 3198208 3215940 3226314 3228960 3239376 3309040 3319680 3323138 3343872 3396120 3430336 3444224 3498040 3505728 3509324 3560505 3586452 3610880 3622528 3663580 3675360 3687216 3690240 3702144 3759990 3781760 3797872 3834390 3846759 3881280 3885323 3920384 3958080 3970848 3997760 4010656 4049220 4090016 4179840 4184194 4197648 4287920 4301752 4305280 4319168 4333056 4382160 4386655 4396296 4426240 4483065 4523520 4528160 4538112 4609020 4627680 4674304 4747340 4762654 4781936 4797312 4900480 4916288 4936192 4963560 4984707 5013320 5112520 5129012 5145504 5166336 5175040 5247060 5263986 5277440 5294464 5377190 5398960 5416320 5433792 5495370 5573120 5596864 5672640 5678549 5696808 5842880 5861728 5880576 5977420 5996640 6015984 6135024 6145360 6170240 6210048 6276291 6332928 6396416 6411265 6431880 6452628 6457920 6478752 6618080 6639360 6646276 6792240 6860672 6996080 7011456 7018648 7121010 7143981 7172904 7221760 7245056 7327160 7350720 7374432 7380480 7404288 7519980 7563520 7595744 7668780 7693518 7762560 7770646 7916160 7941696 7995520 8021312 8065785 8098440 8180032 8307845 8359680 8368388 8395296 8575840 8603504 8610560 8638336 8764320 8773310 8792592 8966130 9056320 9076224 9218040 9255360 9348608 9494680 9525308 9563872 9594624 9800960 9832576 9927120 9969414 10026640 10225040 10258024 10291008 10332672 10350080 10460485 10494120 10527972 10554880 10588928 10754380 10797920 10832640 10867584 10990740 11193728 11345280 11357098 11393616 11655969 11685760 11723456 11761152 11906635 11954840 11993280 12031968 12270048 12290720 12340480 12552582 12822530 12863760 12905256 12915840 12957504 13159965 13236160 13278720 13292552 13584480 13721344 13992160 14022912 14037296 14242020 14287962 14345808 14490112 14654320 14701440 14748864 14808576 15039960 15127040 15191488 15337560 15387036 15525120 15541292 15832320 15883392 15991040 16042624 16131570 16196880 16360064 16615690 16669289 16719360 16736776 16790592 17035647 17151680 17207008 17221120 17276672 17528640 17546620 17585184 17932260 18112640 18436080 18510720 18989360 19050616 19127744 19189248 19233795 19426615 19601920 19665152 19854240 19938828 20053280 20450080 20516048 20582016 20920970 20988240 21055944 21177856 21508760 21595840 21665280 21735168 21981480 22387456 22690560 22714196 22787232 23311938 23371520 23446912 23813270 23909680 23986560 24063936 24540096 24581440 24680960 24923535 25105164 25645060 25727520 25810512 25831680 25915008 26319930 26472320 26585104 27168960 27197261 27442688 27984320 28045824 28074592 28392745 28484040 28575924 28691616 29308640 29402880 29497728 30079920 30382976 30675120 30774072 31050240 31082584 31381455 31664640 31766784 31982080 32085248 32263140 32393760 32720128 33231380 33338578 33473552 33581184 34071294 34303360 34414016 34553344 35057280 35093240 35170368 35719905 35864520 36225280 36872160 37021440 37978720 38101232 38255488 38467590 38853230 39330304 39708480 39749843 39877656 40106560 40900160 41032096 41164032 41841940 41976480 42111888 43017520 43191680 43470336 43962960 44774912 45381120 45428392 45574464 46623876 46743040 46893824 47626540 47819360 47973120 48127872 49080192 49162880 49847070 50007867 50210328 51290120 51455040 51621024 51663360 51830016 52639860 52944640 53170208 54337920 54394522 55968640 56149184 56785490 56968080 57151848 57383232 58279845 58617280 58805760 58995456 60159840 60765952 61350240 61548144 62165168 62762910 63533568 64170496 64526280 64787520 65440256 66462760 66677156 66947104 67162368 68142588 68606720 68828032 70114560 70186480 70340736 71439810 71729040 72450560 73744320 73821137 74042880 75957440 76202464 76510976 76935180 77706460 79416960 79499686 79755312 80213120 81591783 81800320 82064192 82328064 83346445 83683880 83952960 84223776 85178235 86035040 86383360 87925920 90856784 91148928 93247752 93787648 95253080 95638720 95946240 96255744 98160384 98325760 99694140 100015734 100420656 102580240 102910080 103242048 103660032 105279720 105889280 106340416 108675840 108789044 111937280 112298368 113570980 113936160 114303696 114766464 116559690 117234560 117990912 119249529 120319680 121531904 122700480 123096288 124330336 125525820 129052560 129575040 132925520 133354312 133894208 134324736 135986305 136285176 137213440 137656064 140229120 140372960 140681472 142879620 143458080 147488640 147642274 151914880 152404928 153021952 153870360 155412920 158833920 158999372 159510624 160426240 163183566 163600640 164128384 166692890 167367760 167905920 168447552 170356470 172070080 172766720 175851840 181713568 182297856 186495504 190506160 191277440 192511488 196320768 196651520 198749215 199388280 200031468 200841312 205160480 205820160 206484096 210559440 212680832 217351680 217578088 221463411 223874560 224596736 227141960 227872320 228607392 229532928 233119380 234469120 238499058 240639360 245400960 246192576 248660672 250039335 251051640 258105120 259150080 265851040 266708624 267788416 271972610 272570352 275312128 280745920 281362944 285759240 286916160 294977280 295284548 303829760 304809856 307740720 310825840 317667840 317998744 319021248 320852480 326367132 327201280 328256768 333385780 334735520 335811840 336895104 340712940 344140160 351703680 363427136 364595712 369105685 372991008 381012320 382554880 397498430 398776560 400062936 401682624 407958915 410320960 411640320 412968192 421118880 425361664 435156176 442926822 449193472 454283920 455744640 457214784 459065856 466238760 468938240 476998116 481278720 490801920 492385152 497321344 500078670 502103280 516210240 516747959 518300160 531702080 533417248 535576832 543945220 545140704 561491840 571518480 573832320 589954560 590569096 596247645 607659520 609619712 615481440 621651680 635997488 638042496 652734264 656513536 666771560 669471040 671623680 673790208 681425880 688280320 703407360 726854272 738211370 745982016 762024640 765109760 794996860 797553120 800125872 803365248 815917830 820641920 825936384 842237760 850723328 870312352 885853644 908567840 911489280 914429568 932477520 953996232 962557440 981603840 984770304 994642688 1000157340 1004206560 1032420480 1033495918 1063404160 1066834496 1071153664 1087890440 1090281408 1107317055 1122983680 1143036960 1147664640 1181138192 1192495290 1219239424 1230962880 1243303360 1271994976 1276084992 1305468528 1333543120 1338942080 1347580416 1362851760 1376560640 1406814720 1453708544 1476422740 1491964032 1524049280 1550243877 1589993720 1595106240 1600251744 1606730496 1631835660 1641283840 1684475520 1740624704 1771707288 1817135680 1822978560 1828859136 1864955040 1907992464 1969540608 1989285376 2000314680 2008413120 2064840960 2066991836 2126808320 2133668992 2175780880 2180562816 2214634110 2245967360 2286073920 2295329280 2362276384 2384990580 2461925760 2486606720 2543989952 2552169984 2583739795 2610937056 2667086240 2677884160 2725703520 2907417088 2952845480 2983928064 3048098560 3100487754 3179987440 3190212480 3200503488 3213460992 3263671320 3282567680 3368951040 3481249408 3543414576 3634271360 3657718272 3729910080 3815984928 4000629360 4016826240 4129681920 4133983672 4253616640 4267337984 4351561760 4361125632 4429268220 4572147840 4724552768 4769981160 4923851520 4973213440 5087979904 5167479590 5221874112 5334172480 5355768320 5451407040 5905690960 5967856128 6096197120 6200975508 6359974880 6380424960 6401006976 6527342640 6737902080 6962498816 7086829152 7268542720 7459820160 7631969856 7751219385 8001258720 8033652480 8267967344 8534675968 8703123520 8722251264 8858536440 9144295680 9449105536 9539962320 9847703040 9946426880 10175959808 10334959180 10443748224 10668344960 10902814080 11811381920 12401951016 12719949760 12760849920 12802013952 13054685280 13924997632 14173658304 14537085440 14919640320 15263939712 15502438770 16002517440 16067304960 16535934688 17406247040 17717072880 18288591360 18898211072 19079924640 20351919616 20669918360 20887496448 21336689920 21805628160 23622763840 24803902032 25439899520 25604027904 26109370560 28347316608 29839280640 30527879424 31004877540 32005034880 33071869376 34812494080 35434145760 37796422144 38159849280 41339836720 41774992896 42673379840 43611256320 47245527680 49607804064 50879799040 52218741120 56694633216 61055758848 62009755080 64010069760 66143738752 69624988160 70868291520 76319698560 82679673440 94491055360 99215608128 101759598080 104437482240 113389266432 124019510160 128020139520 132287477504 141736583040 152639397120 165359346880 188982110720 198431216256 208874964480 248039020320 264574955008 283473166080 305278794240 330718693760 396862432512 496078040640 566946332160 661437387520 793724865024 992156081280 1322874775040 1984312162560 3968624325120
- Sum of all divisors σ(n): 17038789447680
- Sum of proper divisors (its aliquot sum) s(n): 13070165122560
- 3968624325120 is an abundant number, because the sum of its proper divisors (13070165122560) is greater than itself. Its abundance is 9101540797440
Bases of 3968624325120
- Binary: 1110011100000001000111000101110010000000002
- Hexadecimal: 0x39C04717200
- Base-36: 1EN5SGFEO
Squares and roots of 3968624325120
- 3968624325120 squared (39686243251202) is 15749979033934175463014400
- 3968624325120 cubed (39686243251203) is 62505749914201166675409186720841728000
-
The
square root of 3968624325120 is 1992140.6388907385 -
The
cube root of 3968624325120 is 15832.3967080661
Scales and comparisons
How big is 3968624325120?- 3,968,624,325,120 seconds is equal to 126,189 years, 50 weeks, 5 days, 21 hours, 52 minutes.
-
To count from 1 to 3,968,624,325,120 would take you about three hundred fifteen thousand, four hundred seventy-four 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 3968624325120 cubic inches would be around 1319.4 feet tall.
Recreational maths with 3968624325120
- 3968624325120 backwards is 0215234268693
- The number of decimal digits it has is: 13
- The sum of 3968624325120's digits is 51
- 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 3968624325120 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
APA style:
Numbermatics. (2024). Number 3968624325120 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/3968624325120/
Chicago style:
Numbermatics. 2024. "Number 3968624325120 - Facts about the integer". https://numbermatics.com/n/3968624325120/
The information we have on file for 3968624325120 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 3968624325120, math, Factors of 3968624325120, curriculum, school, college, exams, university, Prime factorization of 3968624325120, STEM, science, technology, engineering, physics, economics, calculator, three trillion, nine hundred sixty-eight billion, six hundred twenty-four million, three hundred twenty-five thousand, one hundred twenty.