3378318934016000
3,378,318,934,016,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 3378318934016000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 648 divisors.
3378318934016000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 3378318934016000:
226 × 53 × 132 × 2383
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 13 × 2383)See below for interesting mathematical facts about the number 3378318934016000 from the Numbermatics database.
Names of 3378318934016000
- Cardinal: 3378318934016000 can be written as Three quadrillion, three hundred seventy-eight trillion, three hundred eighteen billion, nine hundred thirty-four million, sixteen thousand.
Scientific notation
- Scientific notation: 3.378318934016 × 1015
Factors of 3378318934016000
Divisors of 3378318934016000
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 160 169 200 208 250 256 260 320 325 338 400 416 500 512 520 640 650 676 800 832 845 1000 1024 1040 1280 1300 1352 1600 1625 1664 1690 2000 2048 2080 2383 2560 2600 2704 3200 3250 3328 3380 4000 4096 4160 4225 4766 5120 5200 5408 6400 6500 6656 6760 8000 8192 8320 8450 9532 10240 10400 10816 11915 12800 13000 13312 13520 16000 16384 16640 16900 19064 20480 20800 21125 21632 23830 25600 26000 26624 27040 30979 32000 32768 33280 33800 38128 40960 41600 42250 43264 47660 51200 52000 53248 54080 59575 61958 64000 65536 66560 67600 76256 81920 83200 84500 86528 95320 102400 104000 106496 108160 119150 123916 128000 131072 133120 135200 152512 154895 163840 166400 169000 173056 190640 204800 208000 212992 216320 238300 247832 256000 262144 266240 270400 297875 305024 309790 327680 332800 338000 346112 381280 402727 409600 416000 425984 432640 476600 495664 512000 524288 532480 540800 595750 610048 619580 655360 665600 676000 692224 762560 774475 805454 819200 832000 851968 865280 953200 991328 1024000 1048576 1064960 1081600 1191500 1220096 1239160 1310720 1331200 1352000 1384448 1525120 1548950 1610908 1638400 1664000 1703936 1730560 1906400 1982656 2013635 2048000 2097152 2129920 2163200 2383000 2440192 2478320 2621440 2662400 2704000 2768896 3050240 3097900 3221816 3276800 3328000 3407872 3461120 3812800 3872375 3965312 4027270 4096000 4194304 4259840 4326400 4766000 4880384 4956640 5242880 5324800 5408000 5537792 6100480 6195800 6443632 6553600 6656000 6815744 6922240 7625600 7744750 7930624 8054540 8192000 8388608 8519680 8652800 9532000 9760768 9913280 10068175 10485760 10649600 10816000 11075584 12200960 12391600 12887264 13107200 13312000 13631488 13844480 15251200 15489500 15861248 16109080 16384000 16777216 17039360 17305600 19064000 19521536 19826560 20136350 20971520 21299200 21632000 22151168 24401920 24783200 25774528 26214400 26624000 27262976 27688960 30502400 30979000 31722496 32218160 32768000 33554432 34078720 34611200 38128000 39043072 39653120 40272700 41943040 42598400 43264000 44302336 48803840 49566400 50340875 51549056 52428800 53248000 54525952 55377920 61004800 61958000 63444992 64436320 65536000 67108864 68157440 69222400 76256000 78086144 79306240 80545400 83886080 85196800 86528000 88604672 97607680 99132800 100681750 103098112 104857600 106496000 109051904 110755840 122009600 123916000 126889984 128872640 131072000 136314880 138444800 152512000 156172288 158612480 161090800 167772160 170393600 173056000 177209344 195215360 198265600 201363500 206196224 209715200 212992000 218103808 221511680 244019200 247832000 253779968 257745280 262144000 272629760 276889600 305024000 312344576 317224960 322181600 335544320 340787200 346112000 354418688 390430720 396531200 402727000 412392448 419430400 425984000 436207616 443023360 488038400 495664000 507559936 515490560 524288000 545259520 553779200 610048000 624689152 634449920 644363200 681574400 692224000 708837376 780861440 793062400 805454000 824784896 838860800 851968000 872415232 886046720 976076800 991328000 1015119872 1030981120 1048576000 1090519040 1107558400 1220096000 1249378304 1268899840 1288726400 1363148800 1384448000 1417674752 1561722880 1586124800 1610908000 1649569792 1677721600 1703936000 1772093440 1952153600 1982656000 2030239744 2061962240 2097152000 2181038080 2215116800 2440192000 2498756608 2537799680 2577452800 2726297600 2768896000 2835349504 3123445760 3172249600 3221816000 3299139584 3407872000 3544186880 3904307200 3965312000 4060479488 4123924480 4194304000 4362076160 4430233600 4880384000 4997513216 5075599360 5154905600 5452595200 5537792000 5670699008 6246891520 6344499200 6443632000 6598279168 6815744000 7088373760 7808614400 7930624000 8120958976 8247848960 8388608000 8860467200 9760768000 9995026432 10151198720 10309811200 10905190400 11075584000 11341398016 12493783040 12688998400 12887264000 13196558336 13631488000 14176747520 15617228800 15861248000 16241917952 16495697920 17720934400 19521536000 19990052864 20302397440 20619622400 21810380800 22151168000 24987566080 25377996800 25774528000 26393116672 27262976000 28353495040 31234457600 31722496000 32483835904 32991395840 35441868800 39043072000 39980105728 40604794880 41239244800 44302336000 49975132160 50755993600 51549056000 52786233344 54525952000 56706990080 62468915200 63444992000 64967671808 65982791680 70883737600 78086144000 79960211456 81209589760 82478489600 88604672000 99950264320 101511987200 103098112000 105572466688 109051904000 124937830400 126889984000 129935343616 131965583360 141767475200 156172288000 159920422912 162419179520 164956979200 177209344000 199900528640 203023974400 206196224000 211144933376 249875660800 253779968000 259870687232 263931166720 283534950400 312344576000 324838359040 329913958400 354418688000 399801057280 406047948800 412392448000 422289866752 499751321600 507559936000 519741374464 527862333440 624689152000 649676718080 659827916800 708837376000 799602114560 812095897600 824784896000 844579733504 999502643200 1015119872000 1039482748928 1055724666880 1249378304000 1299353436160 1319655833600 1417674752000 1624191795200 1649569792000 1689159467008 1999005286400 2030239744000 2078965497856 2111449333760 2498756608000 2598706872320 2639311667200 3248383590400 3299139584000 3378318934016 3998010572800 4060479488000 4222898667520 4997513216000 5197413744640 5278623334400 6496767180800 6598279168000 6756637868032 8120958976000 8445797335040 9995026432000 10394827489280 10557246668800 12993534361600 13196558336000 13513275736064 16241917952000 16891594670080 19990052864000 21114493337600 25987068723200 26393116672000 27026551472128 32483835904000 33783189340160 42228986675200 51974137446400 52786233344000 64967671808000 67566378680320 84457973350400 105572466688000 129935343616000 135132757360640 168915946700800 211144933376000 259870687232000 337831893401600 422289866752000 675663786803200 844579733504000 1689159467008000 3378318934016000
- Sum of all divisors σ(n): 9134648046224064
- Sum of proper divisors (its aliquot sum) s(n): 5756329112208064
- 3378318934016000 is an abundant number, because the sum of its proper divisors (5756329112208064) is greater than itself. Its abundance is 2378010178192064
Bases of 3378318934016000
- Binary: 11000000000010010000001011000000000000000000000000002
- Hexadecimal: 0xC00902C000000
- Base-36: X9IIAJPB7K
Squares and roots of 3378318934016000
- 3378318934016000 squared (33783189340160002) is 11413038819931002561888256000000
- 3378318934016000 cubed (33783189340160003) is 38556885140032531149548498078029316096000000000
-
The
square root of 3378318934016000 is 58123308.0099197383 -
The
cube root of 3378318934016000 is 150049.1532841013
Scales and comparisons
How big is 3378318934016000?- 3,378,318,934,016,000 seconds is equal to 107,420,092 years, 14 weeks, 2 days, 3 hours, 33 minutes, 20 seconds.
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To count from 1 to 3,378,318,934,016,000 would take you about three hundred twenty-two million, two hundred sixty thousand, two hundred seventy-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 3378318934016000 cubic inches would be around 12504.1 feet tall.
Recreational maths with 3378318934016000
- 3378318934016000 backwards is 0006104398138733
- The number of decimal digits it has is: 16
- The sum of 3378318934016000's digits is 56
- More coming soon!
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