468478852608000
468,478,852,608,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 468478852608000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 832 divisors.
468478852608000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred thirty-two divisors.
Prime factorization of 468478852608000:
212 × 3 × 53 × 13 × 4733 × 4957
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 4733 × 4957)See below for interesting mathematical facts about the number 468478852608000 from the Numbermatics database.
Names of 468478852608000
- Cardinal: 468478852608000 can be written as Four hundred sixty-eight trillion, four hundred seventy-eight billion, eight hundred fifty-two million, six hundred eight thousand.
Scientific notation
- Scientific notation: 4.68478852608 × 1014
Factors of 468478852608000
Divisors of 468478852608000
- Number of divisors d(n): 832
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 125 128 130 150 156 160 192 195 200 208 240 250 256 260 300 312 320 325 375 384 390 400 416 480 500 512 520 600 624 640 650 750 768 780 800 832 960 975 1000 1024 1040 1200 1248 1280 1300 1500 1536 1560 1600 1625 1664 1920 1950 2000 2048 2080 2400 2496 2560 2600 3000 3072 3120 3200 3250 3328 3840 3900 4000 4096 4160 4733 4800 4875 4957 4992 5120 5200 6000 6144 6240 6400 6500 6656 7680 7800 8000 8320 9466 9600 9750 9914 9984 10240 10400 12000 12288 12480 12800 13000 13312 14199 14871 15360 15600 16000 16640 18932 19200 19500 19828 19968 20480 20800 23665 24000 24785 24960 25600 26000 26624 28398 29742 30720 31200 32000 33280 37864 38400 39000 39656 39936 41600 47330 48000 49570 49920 51200 52000 53248 56796 59484 61440 61529 62400 64000 64441 66560 70995 74355 75728 76800 78000 79312 79872 83200 94660 96000 99140 99840 102400 104000 113592 118325 118968 123058 123925 124800 128000 128882 133120 141990 148710 151456 153600 156000 158624 159744 166400 184587 189320 192000 193323 198280 199680 208000 227184 236650 237936 246116 247850 249600 256000 257764 266240 283980 297420 302912 307200 307645 312000 317248 322205 332800 354975 369174 371775 378640 384000 386646 396560 399360 416000 454368 473300 475872 492232 495700 499200 512000 515528 567960 591625 594840 605824 615290 619625 624000 634496 644410 665600 709950 738348 743550 757280 768000 773292 793120 798720 832000 908736 922935 946600 951744 966615 984464 991400 998400 1031056 1135920 1183250 1189680 1211648 1230580 1239250 1248000 1268992 1288820 1331200 1419900 1476696 1487100 1514560 1536000 1538225 1546584 1586240 1611025 1664000 1774875 1817472 1845870 1858875 1893200 1903488 1933230 1968928 1982800 1996800 2062112 2271840 2366500 2379360 2423296 2461160 2478500 2496000 2537984 2577640 2839800 2953392 2974200 3029120 3076450 3093168 3172480 3222050 3328000 3549750 3634944 3691740 3717750 3786400 3806976 3866460 3937856 3965600 3993600 4124224 4543680 4614675 4733000 4758720 4833075 4846592 4922320 4957000 4992000 5075968 5155280 5679600 5906784 5948400 6058240 6152900 6186336 6344960 6444100 6656000 7099500 7269888 7383480 7435500 7572800 7613952 7691125 7732920 7875712 7931200 8055125 8248448 9087360 9229350 9466000 9517440 9666150 9693184 9844640 9914000 9984000 10151936 10310560 11359200 11813568 11896800 12116480 12305800 12372672 12689920 12888200 14199000 14539776 14766960 14871000 15145600 15227904 15382250 15465840 15751424 15862400 16110250 16496896 18174720 18458700 18932000 19034880 19332300 19386368 19689280 19828000 19968000 20303872 20621120 22718400 23073375 23461481 23627136 23793600 24165375 24232960 24611600 24745344 25379840 25776400 28398000 29079552 29533920 29742000 30291200 30455808 30764500 30931680 31502848 31724800 32220500 32993792 36349440 36917400 37864000 38069760 38664600 39378560 39656000 41242240 45436800 46146750 46922962 47254272 47587200 48330750 48465920 49223200 49490688 50759680 51552800 56796000 58159104 59067840 59484000 60582400 60911616 61529000 61863360 63005696 63449600 64441000 65987584 70384443 72698880 73834800 75728000 76139520 77329200 78757120 79312000 82484480 90873600 92293500 93845924 94508544 95174400 96661500 96931840 98446400 98981376 101519360 103105600 113592000 117307405 118135680 118968000 121164800 123058000 123726720 126011392 126899200 128882000 131975168 140768886 145397760 147669600 151456000 152279040 154658400 157514240 158624000 164968960 181747200 184587000 187691848 189017088 190348800 193323000 196892800 197962752 206211200 227184000 234614810 236271360 237936000 242329600 246116000 247453440 252022784 253798400 257764000 263950336 281537772 290795520 295339200 302912000 304558080 304999253 309316800 315028480 317248000 329937920 351922215 363494400 369174000 375383696 378034176 380697600 386646000 393785600 395925504 412422400 454368000 469229620 472542720 475872000 484659200 492232000 494906880 507596800 515528000 563075544 586537025 590678400 605824000 609998506 618633600 630056960 634496000 659875840 703844430 726988800 738348000 750767392 756068352 761395200 773292000 787571200 791851008 824844800 908736000 914997759 938459240 945085440 951744000 984464000 989813760 1031056000 1126151088 1173074050 1181356800 1211648000 1219997012 1237267200 1260113920 1268992000 1319751680 1407688860 1453977600 1476696000 1501534784 1522790400 1524996265 1546584000 1575142400 1649689600 1759611075 1817472000 1829995518 1876918480 1890170880 1903488000 1968928000 1979627520 2062112000 2252302176 2346148100 2362713600 2423296000 2439994024 2474534400 2537984000 2815377720 2932685125 2953392000 3003069568 3049992530 3093168000 3150284800 3299379200 3519222150 3634944000 3659991036 3753836960 3780341760 3806976000 3937856000 3959255040 4124224000 4504604352 4574988795 4692296200 4725427200 4879988048 4949068800 5630755440 5865370250 5906784000 6006139136 6099985060 6186336000 6300569600 6598758400 7038444300 7269888000 7319982072 7507673920 7613952000 7624981325 7875712000 8248448000 8798055375 9009208704 9149977590 9384592400 9450854400 9759976096 9898137600 11261510880 11730740500 11813568000 12012278272 12199970120 12372672000 14076888600 14639964144 15015347840 15249962650 15751424000 16496896000 17596110750 18018417408 18299955180 18769184800 18901708800 19519952192 19796275200 22523021760 22874943975 23461481000 23627136000 24024556544 24399940240 24745344000 28153777200 29279928288 30030695680 30499925300 31502848000 32993792000 35192221500 36036834816 36599910360 37538369600 38124906625 39039904384 45046043520 45749887950 46922962000 47254272000 48049113088 48799880480 49490688000 56307554400 58559856576 60061391360 60999850600 70384443000 72073669632 73199820720 75076739200 76249813250 78079808768 90092087040 91499775900 93845924000 94508544000 96098226176 97599760960 98981376000 112615108800 114374719875 117119713152 120122782720 121999701200 140768886000 144147339264 146399641440 150153478400 152499626500 156159617536 180184174080 182999551800 187691848000 195199521920 225230217600 228749439750 234239426304 240245565440 243999402400 281537772000 288294678528 292799282880 300306956800 304999253000 312319235072 360368348160 365999103600 375383696000 390399043840 450460435200 457498879500 468478852608 480491130880 487998804800 563075544000 585598565760 600613913600 609998506000 624638470144 720736696320 731998207200 750767392000 780798087680 900920870400 914997759000 936957705216 975997609600 1126151088000 1171197131520 1201227827200 1219997012000 1249276940288 1441473392640 1463996414400 1501534784000 1561596175360 1801841740800 1829995518000 1873915410432 1951995219200 2252302176000 2342394263040 2402455654400 2439994024000 2927992828800 3003069568000 3123192350720 3603683481600 3659991036000 3747830820864 3903990438400 4504604352000 4684788526080 4879988048000 5855985657600 6006139136000 6246384701440 7207366963200 7319982072000 7807980876800 9009208704000 9369577052160 9759976096000 11711971315200 12012278272000 14639964144000 15615961753600 18018417408000 18739154104320 19519952192000 23423942630400 29279928288000 31231923507200 36036834816000 39039904384000 46847885260800 58559856576000 78079808768000 93695770521600 117119713152000 156159617536000 234239426304000 468478852608000
- Sum of all divisors σ(n): 1679516703027072
- Sum of proper divisors (its aliquot sum) s(n): 1211037850419072
- 468478852608000 is an abundant number, because the sum of its proper divisors (1211037850419072) is greater than itself. Its abundance is 742558997811072
Bases of 468478852608000
- Binary: 11010101000010100001110111001100000110000000000002
- Hexadecimal: 0x1AA143B983000
- Base-36: 4M287P2S5C
Squares and roots of 468478852608000
- 468478852608000 squared (4684788526080002) is 219472435340908188401664000000
- 468478852608000 cubed (4684788526080003) is 102818194687592137427083444157939712000000000
-
The
square root of 468478852608000 is 21644372.3080157721 -
The
cube root of 468478852608000 is 77665.8316622965
Scales and comparisons
How big is 468478852608000?- 468,478,852,608,000 seconds is equal to 14,896,178 years, 21 weeks, 3 days, 5 hours, 20 minutes.
-
To count from 1 to 468,478,852,608,000 would take you about thirty-seven million, two hundred forty thousand, four hundred forty-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 468478852608000 cubic inches would be around 6472.2 feet tall.
Recreational maths with 468478852608000
- 468478852608000 backwards is 000806258874864
- The number of decimal digits it has is: 15
- The sum of 468478852608000's digits is 66
- More coming soon!
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The information we have on file for 468478852608000 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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