3948390243200
3,948,390,243,200 is an even composite number composed of seven prime numbers multiplied together.
3948390243200 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 3948390243200:
27 × 52 × 13 × 17 × 19 × 31 × 9479
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 17 × 19 × 31 × 9479)See below for interesting mathematical facts about the number 3948390243200 from the Numbermatics database.
Names of 3948390243200
- Cardinal: 3948390243200 can be written as Three trillion, nine hundred forty-eight billion, three hundred ninety million, two hundred forty-three thousand, two hundred.
Scientific notation
- Scientific notation: 3.9483902432 × 1012
Factors of 3948390243200
Divisors of 3948390243200
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 19 20 25 26 31 32 34 38 40 50 52 62 64 65 68 76 80 85 95 100 104 124 128 130 136 152 155 160 170 190 200 208 221 247 248 260 272 304 310 320 323 325 340 380 400 403 416 425 442 475 494 496 520 527 544 589 608 620 640 646 650 680 760 775 800 806 832 850 884 950 988 992 1040 1054 1088 1105 1178 1216 1235 1240 1292 1300 1360 1520 1550 1600 1612 1615 1664 1700 1768 1900 1976 1984 2015 2080 2108 2176 2210 2356 2432 2470 2480 2584 2600 2635 2720 2945 3040 3100 3200 3224 3230 3400 3536 3800 3952 3968 4030 4160 4199 4216 4420 4712 4940 4960 5168 5200 5270 5440 5525 5890 6080 6175 6200 6448 6460 6800 6851 7072 7600 7657 7904 8060 8075 8320 8398 8432 8840 9424 9479 9880 9920 10013 10075 10336 10400 10540 10880 11050 11780 12160 12350 12400 12896 12920 13175 13600 13702 14144 14725 15200 15314 15808 16120 16150 16796 16864 17680 18848 18958 19760 19840 20026 20150 20672 20800 20995 21080 22100 23560 24700 24800 25792 25840 26350 27200 27404 28288 29450 30400 30628 31616 32240 32300 33592 33728 34255 35360 37696 37916 38285 39520 40052 40300 41344 41600 41990 42160 44200 47120 47395 49400 49600 50065 51584 51680 52700 54400 54808 58900 60800 61256 64480 64600 67184 67456 68510 70720 75392 75832 76570 79040 80104 80600 83980 84320 88400 94240 94790 98800 99200 100130 103360 104975 105400 109616 117800 122512 123227 128960 129200 130169 134368 137020 141440 151664 153140 158080 160208 161143 161200 167960 168640 171275 176800 180101 188480 189580 191425 197600 200260 206720 209950 210800 219232 235600 236975 245024 246454 250325 257920 258400 260338 268736 274040 293849 303328 306280 320416 322286 322400 335920 337280 342550 353600 360202 376960 379160 382850 395200 400520 419900 421600 438464 471200 473950 490048 492908 500650 516800 520676 537472 548080 587698 606656 612560 616135 640832 644572 644800 650845 671840 685100 707200 720404 758320 765700 790400 801040 805715 839800 843200 876928 900505 942400 947900 980096 985816 1001300 1033600 1041352 1096160 1175396 1213312 1225120 1232270 1281664 1289144 1289600 1301690 1343680 1370200 1440808 1469245 1516640 1531400 1602080 1611430 1679600 1686400 1801010 1884800 1895800 1971632 2002600 2082704 2094859 2192320 2341313 2350792 2450240 2464540 2578288 2603380 2687360 2740400 2881616 2938490 3033280 3061717 3062800 3080675 3204160 3222860 3254225 3359200 3602020 3791600 3820037 3943264 4005200 4028575 4165408 4189718 4384640 4502525 4682626 4701584 4900480 4929080 4995433 5156576 5206760 5480800 5583131 5763232 5876980 6066560 6123434 6125600 6161350 6408320 6445720 6508450 6718400 7204040 7346225 7583200 7640074 7886528 8010400 8057150 8330816 8379436 9005050 9365252 9403168 9858160 9990866 10313152 10413520 10474295 10961600 11166262 11526464 11706565 11753960 12246868 12251200 12322700 12891440 13016900 13436800 14408080 14692450 15166400 15280148 15308585 15773056 16020800 16114300 16661632 16758872 18010100 18730504 18806336 19100185 19716320 19981732 20626304 20827040 20948590 21923200 22332524 23052928 23413130 23507920 24493736 24502400 24645400 24977165 25782880 26033800 27915655 28816160 29384900 30332800 30560296 30617170 32041600 32228600 33517744 36020200 37461008 37612672 38200370 39432640 39802321 39963464 41654080 41897180 44665048 46826260 47015840 48987472 49290800 49954330 51565760 52067600 52371475 55831310 57632320 58532825 58769800 61120592 61234340 64457200 64940629 67035488 72040400 72580703 74922016 76400740 76542925 78865280 79604642 79926928 83308160 83794360 89330096 93652520 94031680 94913227 95500925 97974944 98581600 99908660 103131520 104135200 104742950 111662620 115264640 117065650 117539600 122241184 122468680 124885825 128914400 129881258 134070976 139578275 144080800 145161406 149844032 152801480 153085850 159209284 159853856 167588720 178660192 187305040 188063360 189826454 191001850 195949888 197163200 199011605 199817320 208270400 209485900 223325240 234131300 235079200 244482368 244937360 249771650 257828800 259762516 268141952 279156550 288161600 290322812 299688064 305602960 306171700 318418568 319707712 324703145 335177440 357320384 362903515 374610080 379652908 382003700 391899776 394326400 398023210 399634640 416540800 418971800 446650480 468262600 470158400 474566135 488964736 489874720 499543300 515657600 519525032 558313100 576323200 580645624 611205920 612343400 636837136 639415424 649406290 670354880 714640768 725807030 749220160 759305816 764007400 796046420 799269280 837943600 893300960 936525200 940316800 949132270 979749440 995058025 999086600 1039050064 1116626200 1161291248 1222411840 1224686800 1233871951 1273674272 1298812580 1340709760 1451614060 1498440320 1518611632 1528014800 1592092840 1598538560 1623515725 1675887200 1786601920 1814517575 1873050400 1898264540 1959498880 1990116050 1998173200 2078100128 2233252400 2322582496 2372830675 2444823680 2449373600 2467743902 2547348544 2597625160 2903228120 3037223264 3056029600 3184185680 3197077120 3247031450 3351774400 3573203840 3629035150 3746100800 3796529080 3980232100 3996346400 4156200256 4466504800 4645164992 4745661350 4898747200 4935487804 5094697088 5195250320 5806456240 6074446528 6112059200 6169359755 6368371360 6494062900 6703548800 7258070300 7492201600 7593058160 7960464200 7992692800 8312400512 8933009600 9290329984 9491322700 9797494400 9870975608 10390500640 11612912480 12148893056 12224118400 12338719510 12736742720 12988125800 14516140600 15186116320 15920928400 15985385600 17866019200 18982645400 19741951216 20781001280 23225824960 24677439020 25473485440 25976251600 29032281200 30372232640 30846798775 31841856800 37965290800 39483902432 41562002560 46451649920 49354878040 51952503200 58064562400 60744465280 61693597550 63683713600 75930581600 78967804864 98709756080 103905006400 116129124800 123387195100 127367427200 151861163200 157935609728 197419512160 207810012800 232258249600 246774390200 303722326400 394839024320 493548780400 789678048640 987097560800 1974195121600 3948390243200
- Sum of all divisors σ(n): 12086226432000
- Sum of proper divisors (its aliquot sum) s(n): 8137836188800
- 3948390243200 is an abundant number, because the sum of its proper divisors (8137836188800) is greater than itself. Its abundance is 4189445945600
Bases of 3948390243200
- Binary: 1110010111010011100110010111011011100000002
- Hexadecimal: 0x3974E65DB80
- Base-36: 1EDV5LTVK
Squares and roots of 3948390243200
- 3948390243200 squared (39483902432002) is 15589785512596955146240000
- 3948390243200 cubed (39483902432003) is 61554557011518528393442045165568000000
-
The
square root of 3948390243200 is 1987055.6718924611 -
The
cube root of 3948390243200 is 15805.4436233947
Scales and comparisons
How big is 3948390243200?- 3,948,390,243,200 seconds is equal to 125,546 years, 31 weeks, 3 hours, 33 minutes, 20 seconds.
-
To count from 1 to 3,948,390,243,200 would take you about three hundred thirteen thousand, eight hundred sixty-six 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 3948390243200 cubic inches would be around 1317.1 feet tall.
Recreational maths with 3948390243200
- 3948390243200 backwards is 0023420938493
- The number of decimal digits it has is: 13
- The sum of 3948390243200's digits is 47
- More coming soon!
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The information we have on file for 3948390243200 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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