3948238120320
3,948,238,120,320 is an even composite number composed of seven prime numbers multiplied together.
3948238120320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 3948238120320:
27 × 32 × 5 × 13 × 29 × 151 × 12041
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 29 × 151 × 12041)See below for interesting mathematical facts about the number 3948238120320 from the Numbermatics database.
Names of 3948238120320
- Cardinal: 3948238120320 can be written as Three trillion, nine hundred forty-eight billion, two hundred thirty-eight million, one hundred twenty thousand, three hundred twenty.
Scientific notation
- Scientific notation: 3.94823812032 × 1012
Factors of 3948238120320
Divisors of 3948238120320
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 29 30 32 36 39 40 45 48 52 58 60 64 65 72 78 80 87 90 96 104 116 117 120 128 130 144 145 151 156 160 174 180 192 195 208 232 234 240 260 261 288 290 302 312 320 348 360 377 384 390 416 435 453 464 468 480 520 522 576 580 585 604 624 640 696 720 754 755 780 832 870 906 928 936 960 1040 1044 1131 1152 1160 1170 1208 1248 1305 1359 1392 1440 1508 1510 1560 1664 1740 1812 1856 1872 1885 1920 1963 2080 2088 2262 2265 2320 2340 2416 2496 2610 2718 2784 2880 3016 3020 3120 3393 3480 3624 3712 3744 3770 3926 4160 4176 4379 4524 4530 4640 4680 4832 4992 5220 5436 5568 5655 5760 5889 6032 6040 6240 6786 6795 6960 7248 7488 7540 7852 8320 8352 8758 9048 9060 9280 9360 9664 9815 10440 10872 11136 11310 11778 12041 12064 12080 12480 13137 13572 13590 13920 14496 14976 15080 15704 16704 16965 17516 17667 18096 18120 18560 18720 19328 19630 20880 21744 21895 22620 23556 24082 24128 24160 24960 26274 27144 27180 27840 28992 29445 30160 31408 33408 33930 35032 35334 36123 36192 36240 37440 39260 39411 41760 43488 43790 45240 47112 48164 48256 48320 52548 54288 54360 55680 56927 57984 58890 60205 60320 62816 65685 67860 70064 70668 72246 72384 72480 74880 78520 78822 83520 86976 87580 88335 90480 94224 96328 96640 105096 108369 108576 108720 113854 117780 120410 120640 125632 131370 135720 140128 141336 144492 144768 144960 156533 157040 157644 167040 170781 173952 175160 176670 180615 180960 188448 192656 197055 210192 216738 217152 217440 227708 235560 240820 241280 251264 262740 271440 280256 282672 284635 288984 289920 313066 314080 315288 341562 349189 350320 353340 361230 361920 376896 385312 394110 420384 433476 434304 434880 455416 469599 471120 481640 512343 525480 541845 542880 560512 565344 569270 577968 626132 628160 630576 683124 698378 700640 706680 722460 723840 753792 770624 782665 788220 840768 853905 866952 869760 910832 939198 942240 963280 1024686 1047567 1050960 1083690 1085760 1130688 1138540 1155936 1252264 1256320 1261152 1366248 1396756 1401280 1408797 1413360 1444920 1541248 1565330 1576440 1681536 1707810 1733904 1745945 1818191 1821664 1878396 1884480 1926560 2049372 2095134 2101920 2167380 2171520 2261376 2277080 2311872 2347995 2504528 2522304 2561715 2732496 2793512 2802560 2817594 2826720 2889840 3130660 3142701 3152880 3415620 3467808 3491890 3636382 3643328 3756792 3768960 3853120 4098744 4190268 4203840 4334760 4539457 4554160 4623744 4695990 5009056 5044608 5123430 5237835 5454573 5464992 5587024 5635188 5653440 5779680 6261320 6285402 6305760 6831240 6935616 6983780 7043985 7272764 7286656 7513584 7706240 8197488 8380536 8407680 8669520 9078914 9090955 9108320 9391980 10018112 10246860 10475670 10909146 10929984 11174048 11270376 11306880 11559360 12522640 12570804 12611520 13618371 13662480 13871232 13967560 14087970 14545528 15027168 15713505 16363719 16394976 16761072 17339040 18157828 18181910 18216640 18783960 20036224 20493720 20951340 21818292 21859968 22348096 22540752 22697285 23118720 23636483 25045280 25141608 25223040 27236742 27272865 27324960 27935120 28175940 29091056 30054336 31427010 32727438 32789952 33522144 34678080 36315656 36363820 36433280 37567920 40855113 40987440 41902680 43636584 44696192 45081504 45394570 47272966 50090560 50283216 52727539 54473484 54545730 54649920 55870240 56351880 58182112 60108672 62854020 65454876 65579904 67044288 68091855 69356160 70909449 72631312 72727640 75135840 81710226 81818595 81974880 83805360 87273168 90163008 90789140 94545932 100181120 100566432 105455078 108946968 109091460 109299840 111740480 112703760 116364224 118182415 125708040 130909752 134088576 136183710 141818898 145262624 145455280 150271680 158182617 163420452 163637190 163949760 167610720 174546336 180326016 181578280 189091864 201132864 204275565 210910156 212728347 217893936 218182920 223480960 225407520 232728448 236364830 251416080 261819504 263637695 272367420 283637796 290525248 290910560 300543360 316365234 326840904 327274380 327899520 335221440 349092672 354547245 363156560 378183728 402265728 408551130 421820312 425456694 435787872 436365840 450815040 472729660 474547851 502832160 523639008 527275390 544734840 567275592 581050496 581821120 632730468 653681808 654548760 670442880 685458007 698185344 709094490 726313120 756367456 790913085 817102260 843640624 850913388 871575744 872731680 901630080 945459320 949095702 1005664320 1047278016 1054550780 1063641735 1089469680 1134551184 1163642240 1265460936 1307363616 1309097520 1370916014 1418188980 1452626240 1512734912 1581826170 1634204520 1687281248 1701826776 1743151488 1745463360 1890918640 1898191404 2011328640 2056374021 2094556032 2109101560 2127283470 2178939360 2269102368 2372739255 2530921872 2614727232 2618195040 2741832028 2836377960 2905252480 3025469824 3163652340 3268409040 3374562496 3403653552 3427290035 3490926720 3781837280 3796382808 4112748042 4218203120 4254566940 4357878720 4538204736 4745478510 5061843744 5229454464 5236390080 5483664056 5672755920 6169122063 6327304680 6536818080 6749124992 6807307104 6854580070 7563674560 7592765616 8225496084 8436406240 8509133880 8715757440 9076409472 9490957020 10123687488 10281870105 10472780160 10967328112 11345511840 12338244126 12654609360 13073636160 13614614208 13709160140 15127349120 15185531232 16450992168 16872812480 17018267760 18981914040 20247374976 20563740210 21934656224 22691023680 24676488252 25309218720 26147272320 27229228416 27418320280 30371062464 30845610315 32901984336 33745624960 34036535520 37963828080 41127480420 43869312448 45382047360 49352976504 50618437440 54836640560 60742124928 61691220630 65803968672 68073071040 75927656160 82254960840 87738624896 98705953008 101236874880 109673281120 123382441260 131607937344 136146142080 151855312320 164509921680 197411906016 219346562240 246764882520 263215874688 303710624640 329019843360 394823812032 438693124480 493529765040 658039686720 789647624064 987059530080 1316079373440 1974119060160 3948238120320
- Sum of all divisors σ(n): 15290661859200
- Sum of proper divisors (its aliquot sum) s(n): 11342423738880
- 3948238120320 is an abundant number, because the sum of its proper divisors (11342423738880) is greater than itself. Its abundance is 7394185618560
Bases of 3948238120320
- Binary: 1110010111010001010101010010100101100000002
- Hexadecimal: 0x3974554A580
- Base-36: 1EDSN1B40
Squares and roots of 3948238120320
- 3948238120320 squared (39482381203202) is 15588584254748006796902400
- 3948238120320 cubed (39482381203203) is 61547442596416218391068515774496768000
-
The
square root of 3948238120320 is 1987017.3930592557 -
The
cube root of 3948238120320 is 15805.2406376771
Scales and comparisons
How big is 3948238120320?- 3,948,238,120,320 seconds is equal to 125,541 years, 39 weeks, 3 days, 11 hours, 12 minutes.
-
To count from 1 to 3,948,238,120,320 would take you about three hundred thirteen thousand, eight hundred fifty-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 3948238120320 cubic inches would be around 1317.1 feet tall.
Recreational maths with 3948238120320
- 3948238120320 backwards is 0230218328493
- 3948238120320 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 3948238120320's digits is 45
- More coming soon!
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The information we have on file for 3948238120320 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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