47968438320000
47,968,438,320,000 is an even composite number composed of six prime numbers multiplied together.
47968438320000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 47968438320000:
27 × 32 × 54 × 11 × 29 × 4572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 11 × 29 × 457 × 457)See below for interesting mathematical facts about the number 47968438320000 from the Numbermatics database.
Names of 47968438320000
- Cardinal: 47968438320000 can be written as Forty-seven trillion, nine hundred sixty-eight billion, four hundred thirty-eight million, three hundred twenty thousand.
Scientific notation
- Scientific notation: 4.796843832 × 1013
Factors of 47968438320000
Divisors of 47968438320000
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 29 30 32 33 36 40 44 45 48 50 55 58 60 64 66 72 75 80 87 88 90 96 99 100 110 116 120 125 128 132 144 145 150 160 165 174 176 180 192 198 200 220 225 232 240 250 261 264 275 288 290 300 319 320 330 348 352 360 375 384 396 400 435 440 450 457 464 480 495 500 522 528 550 576 580 600 625 638 640 660 696 704 720 725 750 792 800 825 870 880 900 914 928 957 960 990 1000 1044 1056 1100 1125 1152 1160 1200 1250 1276 1305 1320 1371 1375 1392 1408 1440 1450 1500 1584 1595 1600 1650 1740 1760 1800 1828 1856 1875 1914 1920 1980 2000 2088 2112 2175 2200 2250 2285 2320 2400 2475 2500 2552 2610 2640 2742 2750 2784 2871 2880 2900 3000 3168 3190 3200 3300 3480 3520 3600 3625 3656 3712 3750 3828 3960 4000 4113 4125 4176 4224 4350 4400 4500 4570 4640 4785 4800 4950 5000 5027 5104 5220 5280 5484 5500 5568 5625 5742 5760 5800 6000 6336 6380 6525 6600 6855 6875 6960 7040 7200 7250 7312 7500 7656 7920 7975 8000 8226 8250 8352 8700 8800 9000 9140 9280 9570 9600 9900 10000 10054 10208 10440 10560 10875 10968 11000 11136 11250 11425 11484 11600 12000 12375 12672 12760 13050 13200 13253 13710 13750 13920 14355 14400 14500 14624 15000 15081 15312 15840 15950 16000 16452 16500 16704 17400 17600 18000 18125 18280 18560 19140 19800 20000 20108 20416 20565 20625 20880 21120 21750 21936 22000 22500 22850 22968 23200 23925 24000 24750 25135 25520 26100 26400 26506 27420 27500 27840 28710 28800 29000 29248 30000 30162 30624 31680 31900 32625 32904 33000 33408 34275 34800 35200 36000 36250 36560 38280 39600 39759 39875 40000 40216 40832 41130 41250 41760 43500 43872 44000 45000 45243 45700 45936 46400 47850 48000 49500 50270 51040 52200 52800 53012 54375 54840 55000 55680 57125 57420 58000 58496 60000 60324 61248 61875 63360 63800 65250 65808 66000 66265 68550 69600 71775 72000 72500 73120 75405 76560 79200 79518 79750 80000 80432 82260 82500 83520 87000 87744 88000 90000 90486 91400 91872 92800 95700 99000 100540 102080 102825 104400 105600 106024 108750 109680 110000 114250 114840 116000 119277 119625 120000 120648 122496 123750 125675 127600 130500 131616 132000 132530 137100 139200 143550 144000 145000 145783 146240 150810 153120 158400 159036 159500 160864 163125 164520 165000 167040 171375 174000 175488 176000 180000 180972 182800 183744 191400 198000 198795 199375 201080 204160 205650 208800 208849 212048 217500 219360 220000 226215 228500 229680 232000 238554 239250 240000 241296 247500 251350 255200 261000 263232 264000 265060 274200 278400 285625 287100 290000 291566 292480 301620 306240 316800 318072 319000 321728 326250 329040 330000 331325 342750 348000 358875 360000 361944 365600 367488 377025 382800 396000 397590 398750 402160 411300 417600 417698 424096 435000 437349 438720 440000 452430 457000 459360 464000 477108 478500 482592 495000 502700 510400 514125 522000 526464 528000 530120 548400 571250 574200 580000 583132 596385 598125 603240 612480 626547 628375 636144 638000 643456 652500 658080 660000 662650 685500 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265060000 266491324 272547945 273343125 275680680 279903360 287167375 290717808 291566000 294059392 298192500 300742560 301620000 302831050 313273500 318072000 328011750 329040000 330816816 333114155 334158400 344600850 349879200 361944000 363397260 364457500 367574240 375928200 381686400 387623744 391591875 397590000 399736986 400990080 402160000 413521020 417698000 419855040 436076712 437349000 441089088 452430000 454246575 459467800 466505600 469910250 477108000 484529680 501237600 516901275 522122500 524818800 530120000 532982648 545095890 546686250 551361360 574334750 581435616 583132000 596385000 599605479 601485120 603240000 605662100 626547000 636144000 656023500 661633632 666228310 668316800 689201700 699758400 723888000 726794520 728915000 735148480 751856400 757077625 775247488 783183750 795180000 799473972 820029375 827042040 835396000 839710080 861502125 872153424 874698000 882178176 904860000 908493150 918935600 939820500 954216000 969059360 999342465 1002475200 1033802550 1044245000 1049637600 1060240000 1065965296 1090191780 1093372500 1102722720 1148669500 1162871232 1166264000 1174775625 1192770000 1199210958 1202970240 1206480000 1211324200 1253094000 1312047000 1323267264 1332456620 1362739725 1378403400 1399516800 1435836875 1453589040 1457830000 1470296960 1503712800 1514155250 1566367500 1590360000 1598947944 1640058750 1654084080 1665570775 1670792000 1723004250 1744306848 1749396000 1809720000 1816986300 1837871200 1879641000 1908432000 1938118720 1998684930 2004950400 2067605100 2088490000 2099275200 2131930592 2180383560 2186745000 2205445440 2271232875 2297339000 2325742464 2332528000 2349551250 2385540000 2398421916 2422648400 2506188000 2584506375 2624094000 2646534528 2664913240 2725479450 2756806800 2871673750 2907178080 2915660000 2998027395 3007425600 3028310500 3132735000 3180720000 3197895888 3280117500 3308168160 3331141550 3341584000 3446008500 3488613696 3498792000 3619440000 3633972600 3675742400 3759282000 3785388125 3876237440 3997369860 4135210200 4176980000 4198550400 4263861184 4307510625 4360767120 4373490000 4410890880 4542465750 4594678000 4699102500 4771080000 4796843832 4845296800 4996712325 5012376000 5169012750 5248188000 5329826480 5450958900 5513613600 5743347500 5814356160 5831320000 5996054790 6014851200 6056621000 6265470000 6395791776 6560235000 6616336320 6662283100 6813698625 6892017000 6977227392 6997584000 7267945200 7351484800 7518564000 7570776250 7994739720 8270420400 8327853875 8353960000 8527722368 8615021250 8721534240 8746980000 9084931500 9189356000 9398205000 9542160000 9593687664 9690593600 9993424650 10024752000 10338025500 10496376000 10659652960 10901917800 11027227200 11356164375 11486695000 11628712320 11662640000 11992109580 12113242000 12530940000 12791583552 12922531875 13120470000 13232672640 13324566200 13627397250 13784034000 14535890400 14990136975 15037128000 15141552500 15989479440 16540840800 16655707750 16707920000 17230042500 17443068480 17493960000 18169863000 18378712000 18796410000 19187375328 19381187200 19986849300 20676051000 20992752000 21319305920 21803835600 22054454400 22712328750 22973390000 23984219160 24226484000 24983561625 25061880000 25583167104 25845063750 26240940000 26649132400 27254794500 27568068000 29071780800 29980273950 30074256000 30283105000 31978958880 33081681600 33311415500 34068493125 34460085000 34886136960 34987920000 36339726000 36757424000 37592820000 38374750656 39973698600 41352102000 41639269375 42638611840 43607671200 45424657500 45946780000 47968438320 48452968000 49967123250 50123760000 51690127500 52481880000 53298264800 54509589000 55136136000 58143561600 59960547900 60566210000 63957917760 66163363200 66622831000 68136986250 68920170000 72679452000 74950684875 75185640000 76749501312 79947397200 82704204000 83278538750 87215342400 90849315000 91893560000 95936876640 96905936000 99934246500 103380255000 104963760000 106596529600 109019178000 110272272000 119921095800 121132420000 124917808125 127915835520 133245662000 136273972500 137840340000 145358904000 149901369750 150371280000 159894794400 165408408000 166557077500 174430684800 181698630000 183787120000 191873753280 199868493000 206760510000 213193059200 218038356000 239842191600 242264840000 249835616250 266491324000 272547945000 275680680000 290717808000 299802739500 319789588800 330816816000 333114155000 363397260000 374753424375 383747506560 399736986000 413521020000 436076712000 479684383200 484529680000 499671232500 532982648000 545095890000 551361360000 599605479000 639579177600 666228310000 726794520000 749506848750 799473972000 827042040000 872153424000 959368766400 999342465000 1065965296000 1090191780000 1199210958000 1332456620000 1453589040000 1499013697500 1598947944000 1654084080000 1918737532800 1998684930000 2180383560000 2398421916000 2664913240000 2998027395000 3197895888000 3997369860000 4360767120000 4796843832000 5329826480000 5996054790000 7994739720000 9593687664000 11992109580000 15989479440000 23984219160000 47968438320000
- Sum of all divisors σ(n): 195083626537800
- Sum of proper divisors (its aliquot sum) s(n): 147115188217800
- 47968438320000 is an abundant number, because the sum of its proper divisors (147115188217800) is greater than itself. Its abundance is 99146749897800
Bases of 47968438320000
- Binary: 10101110100000100001011011100111111011100000002
- Hexadecimal: 0x2BA085B9FB80
- Base-36: H04E9O0W0
Squares and roots of 47968438320000
- 47968438320000 squared (479684383200002) is 2300971074859644422400000000
- 47968438320000 cubed (479684383200003) is 110373989080508956133026426368000000000000
-
The
square root of 47968438320000 is 6925925.0876687945 -
The
cube root of 47968438320000 is 36334.4446408865
Scales and comparisons
How big is 47968438320000?- 47,968,438,320,000 seconds is equal to 1,525,247 years, 50 weeks, 8 hours.
-
To count from 1 to 47,968,438,320,000 would take you about three million, eight hundred thirteen thousand, one hundred nineteen 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 47968438320000 cubic inches would be around 3027.9 feet tall.
Recreational maths with 47968438320000
- 47968438320000 backwards is 00002383486974
- The number of decimal digits it has is: 14
- The sum of 47968438320000's digits is 54
- More coming soon!
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The information we have on file for 47968438320000 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 47968438320000, math, Factors of 47968438320000, curriculum, school, college, exams, university, Prime factorization of 47968438320000, STEM, science, technology, engineering, physics, economics, calculator, forty-seven trillion, nine hundred sixty-eight billion, four hundred thirty-eight million, three hundred twenty thousand.