30006768332800
30,006,768,332,800 is an even composite number composed of five prime numbers multiplied together.
30006768332800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred seventy divisors.
Prime factorization of 30006768332800:
212 × 52 × 74 × 312 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 7 × 31 × 31 × 127)See below for interesting mathematical facts about the number 30006768332800 from the Numbermatics database.
Names of 30006768332800
- Cardinal: 30006768332800 can be written as Thirty trillion, six billion, seven hundred sixty-eight million, three hundred thirty-two thousand, eight hundred.
Scientific notation
- Scientific notation: 3.00067683328 × 1013
Factors of 30006768332800
Divisors of 30006768332800
- Number of divisors d(n): 1170
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 49 50 56 62 64 70 80 98 100 112 124 127 128 140 155 160 175 196 200 217 224 245 248 254 256 280 310 320 343 350 392 400 434 448 490 496 508 512 560 620 635 640 686 700 775 784 800 868 889 896 961 980 992 1016 1024 1085 1120 1225 1240 1270 1280 1372 1400 1519 1550 1568 1600 1715 1736 1778 1792 1922 1960 1984 2032 2048 2170 2240 2401 2450 2480 2540 2560 2744 2800 3038 3100 3136 3175 3200 3430 3472 3556 3584 3844 3920 3937 3968 4064 4096 4340 4445 4480 4802 4805 4900 4960 5080 5120 5425 5488 5600 6076 6200 6223 6272 6350 6400 6727 6860 6944 7112 7168 7595 7688 7840 7874 7936 8128 8575 8680 8890 8960 9604 9610 9800 9920 10160 10240 10633 10850 10976 11200 12005 12152 12400 12446 12544 12700 12800 13454 13720 13888 14224 14336 15190 15376 15680 15748 15872 16256 17150 17360 17780 17920 19208 19220 19600 19685 19840 20320 20480 21266 21700 21952 22225 22400 24010 24025 24304 24800 24892 25088 25400 25600 26908 27440 27559 27776 28448 28672 30380 30752 31115 31360 31496 31744 32512 33635 34300 34720 35560 35840 37975 38416 38440 39200 39370 39680 40640 42532 43400 43561 43904 44450 44800 47089 48020 48050 48608 49600 49784 50176 50800 51200 53165 53816 54880 55118 55552 56896 60025 60760 61504 62230 62720 62992 63488 65024 67270 68600 69440 71120 71680 74431 75950 76832 76880 78400 78740 79360 81280 85064 86800 87122 87808 88900 89600 94178 96040 96100 97216 98425 99200 99568 100352 101600 102400 106330 107632 109760 110236 111104 113792 120050 121520 122047 123008 124460 125440 125984 126976 130048 134540 137200 137795 138880 142240 143360 148862 151900 153664 153760 155575 156800 157480 158720 162560 168175 170128 173600 174244 175616 177800 179200 188356 192080 192200 192913 194432 196850 198400 199136 200704 203200 212660 215264 217805 219520 220472 222208 227584 235445 240100 243040 244094 246016 248920 250880 251968 260096 265825 269080 274400 275590 277760 284480 297724 303800 304927 307328 307520 311150 313600 314960 317440 325120 329623 336350 340256 347200 348488 351232 355600 358400 372155 376712 384160 384400 385826 388864 393700 396800 398272 406400 425320 430528 435610 439040 440944 444416 455168 470890 480200 486080 488188 492032 497840 501760 503936 520192 531650 538160 548800 551180 555520 568960 595448 607600 609854 610235 614656 615040 622300 627200 629920 634880 650240 659246 672700 680512 688975 694400 696976 702464 711200 716800 744310 753424 768320 768800 771652 777728 787400 793600 796544 812800 850640 854329 861056 871220 878080 881888 888832 910336 941780 960400 964565 972160 976376 984064 995680 1003520 1007872 1063300 1076320 1089025 1097600 1102360 1111040 1137920 1177225 1190896 1215200 1219708 1220470 1229312 1230080 1244600 1254400 1259840 1300480 1318492 1345400 1350391 1361024 1377950 1388800 1393952 1404928 1422400 1488620 1506848 1524635 1536640 1537600 1543304 1555456 1574800 1587200 1593088 1625600 1648115 1701280 1708658 1722112 1742440 1756160 1763776 1820672 1860775 1883560 1920800 1929130 1944320 1952752 1968128 1991360 2015744 2126600 2152640 2178050 2195200 2204720 2222080 2275840 2307361 2354450 2381792 2430400 2439416 2440940 2458624 2460160 2489200 2508800 2519680 2600960 2636984 2690800 2700782 2722048 2755900 2777600 2787904 2844800 2977240 3013696 3049270 3051175 3073280 3075200 3086608 3110912 3149600 3174400 3186176 3251200 3296230 3402560 3417316 3444224 3484880 3512320 3527552 3641344 3721550 3767120 3841600 3858260 3888640 3905504 3936256 3982720 4031488 4253200 4271645 4305280 4356100 4390400 4409440 4444160 4551680 4614722 4708900 4763584 4822825 4860800 4878832 4881880 4917248 4920320 4978400 5017600 5039360 5273968 5381600 5401564 5444096 5511800 5555200 5575808 5689600 5954480 5980303 6027392 6098540 6102350 6146560 6150400 6173216 6221824 6299200 6372352 6502400 6592460 6751955 6805120 6834632 6888448 6969760 7024640 7055104 7443100 7534240 7623175 7683200 7716520 7777280 7811008 7965440 8062976 8240575 8506400 8543290 8610560 8712200 8780800 8818880 9103360 9229444 9417800 9452737 9527168 9645650 9721600 9757664 9763760 9834496 9840640 9956800 10078720 10547936 10763200 10803128 10888192 11023600 11110400 11151616 11379200 11536805 11908960 11960606 12054784 12197080 12204700 12293120 12300800 12346432 12598400 12744704 13004800 13184920 13503910 13610240 13669264 13776896 13939520 14110208 14886200 15068480 15246350 15366400 15433040 15554560 15622016 15930880 16125952 16481150 17012800 17086580 17221120 17424400 17561600 17637760 18206720 18458888 18835600 18905474 19054336 19291300 19443200 19515328 19527520 19681280 19913600 20157440 21095872 21358225 21526400 21606256 21776384 22047200 22220800 22303232 22758400 23073610 23817920 23921212 24109568 24394160 24409400 24586240 24601600 24692864 25196800 25489408 26369840 27007820 27220480 27338528 27553792 27879040 28220416 29772400 29901515 30136960 30492700 30732800 30866080 31109120 31244032 31861760 32962300 33759775 34025600 34173160 34442240 34848800 35123200 35275520 36917776 37671200 37810948 38108672 38582600 38886400 39030656 39055040 39827200 40314880 41862121 42191744 42716450 43052800 43212512 43552768 44094400 44606464 45516800 46147220 47263685 47635840 47842424 48219136 48788320 48818800 49172480 49203200 49385728 50393600 52739680 54015640 54440960 54677056 55758080 56440832 57684025 59544800 59803030 60273920 60985400 61465600 61732160 62488064 63723520 65924600 67519550 68051200 68346320 68884480 69697600 70551040 73835552 75342400 75621896 76217344 77165200 77772800 78061312 78110080 79654400 80629760 83724242 84383488 85432900 86105600 86425024 88188800 89212928 91033600 92294440 94527370 95271680 95684848 96438272 97576640 97637600 98406400 98771456 100787200 105479360 108031280 108881920 109354112 111516160 112881664 115368050 119089600 119606060 120547840 121970800 122931200 123464320 124976128 127447040 131849200 135039100 136102400 136692640 137768960 139395200 141102080 147671104 149507575 150684800 151243792 152434688 154330400 155545600 156122624 156220160 159308800 167448484 168766976 170865800 172211200 172850048 176377600 178425856 184588880 189054740 190543360 191369696 192876544 195153280 195275200 197542912 201574400 209310605 210958720 216062560 217763840 218708224 223032320 230736100 236318425 238179200 239212120 241095680 243941600 245862400 246928640 249952256 263698400 270078200 272204800 273385280 278790400 282204160 293034847 295342208 299015150 301369600 302487584 304869376 308660800 312245248 312440320 318617600 334896968 337533952 341731600 344422400 345700096 352755200 369177760 378109480 381086720 382739392 390306560 390550400 395085824 403148800 418621210 421917440 432125120 437416448 446064640 461472200 472636850 476358400 478424240 482191360 487883200 493857280 499904512 527396800 540156400 544409600 546770560 557580800 564408320 586069694 590684416 598030300 602739200 604975168 617321600 624490496 624880640 637235200 669793936 675067904 683463200 688844800 691400192 705510400 738355520 756218960 762173440 765478784 780613120 781100800 790171648 837242420 843834880 864250240 874832896 892129280 922944400 945273700 952716800 956848480 964382720 975766400 987714560 1046553025 1054793600 1080312800 1088819200 1093541120 1115161600 1172139388 1181368832 1196060600 1205478400 1209950336 1234643200 1248980992 1249761280 1339587872 1350135808 1366926400 1382800384 1411020800 1465174235 1476711040 1512437920 1524346880 1530957568 1561226240 1562201600 1674484840 1687669760 1728500480 1749665792 1845888800 1890547400 1905433600 1913696960 1951532800 1975429120 2093106050 2109587200 2160625600 2187082240 2230323200 2344278776 2362737664 2392121200 2410956800 2419900672 2469286400 2499522560 2679175744 2733852800 2765600768 2822041600 2930348470 2953422080 3024875840 3061915136 3122452480 3124403200 3348969680 3375339520 3457000960 3499331584 3691777600 3781094800 3810867200 3827393920 3903065600 3950858240 4186212100 4219174400 4321251200 4374164480 4460646400 4688557552 4725475328 4784242400 4821913600 4839801344 4938572800 5358351488 5467705600 5531201536 5860696940 5906844160 6049751680 6123830272 6244904960 6248806400 6697939360 6750679040 6914001920 7325871175 7383555200 7562189600 7621734400 7654787840 7806131200 8372424200 8438348800 8642502400 8748328960 9377115104 9450950656 9568484800 9679602688 9877145600 10716702976 10935411200 11721393880 11813688320 12099503360 12247660544 12497612800 13395878720 13828003840 14651742350 14767110400 15124379200 15309575680 15612262400 16744848400 16876697600 17285004800 17496657920 18754230208 19136969600 19359205376 19754291200 21433405952 21870822400 23442787760 23627376640 24199006720 24495321088 26791757440 27656007680 29303484700 29534220800 30248758400 30619151360 31224524800 33489696800 33753395200 34570009600 37508460416 38273939200 38718410752 42866811904 43741644800 46885575520 47254753280 48398013440 53583514880 58606969400 59068441600 60497516800 61238302720 66979393600 69140019200 75016920832 76547878400 85733623808 87483289600 93771151040 96796026880 107167029760 117213938800 118136883200 120995033600 122476605440 133958787200 138280038400 150033841664 153095756800 171467247616 187542302080 193592053760 214334059520 234427877600 236273766400 241990067200 267917574400 300067683328 306191513600 375084604160 428668119040 468855755200 483980134400 535835148800 600135366656 612383027200 750169208320 857336238080 937711510400 967960268800 1071670297600 1200270733312 1500338416640 1875423020800 2143340595200 3000676833280 3750846041600 4286681190400 6001353666560 7501692083200 15003384166400 30006768332800
- Sum of all divisors σ(n): 90400523769984
- Sum of proper divisors (its aliquot sum) s(n): 60393755437184
- 30006768332800 is an abundant number, because the sum of its proper divisors (60393755437184) is greater than itself. Its abundance is 30386987104384
Bases of 30006768332800
- Binary: 1101101001010011111101100010001110000000000002
- Hexadecimal: 0x1B4A7EC47000
- Base-36: AMWX3435S
Squares and roots of 30006768332800
- 30006768332800 squared (300067683328002) is 900406145778328891555840000
- 30006768332800 cubed (300067683328003) is 27018278621799659791641105034903552000000
-
The
square root of 30006768332800 is 5477843.4016317041 -
The
cube root of 30006768332800 is 31074.6616375711
Scales and comparisons
How big is 30006768332800?- 30,006,768,332,800 seconds is equal to 954,122 years, 21 weeks, 4 days, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 30,006,768,332,800 would take you about two million, three hundred eighty-five thousand, three hundred 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 30006768332800 cubic inches would be around 2589.6 feet tall.
Recreational maths with 30006768332800
- 30006768332800 backwards is 00823386760003
- The number of decimal digits it has is: 14
- The sum of 30006768332800's digits is 46
- More coming soon!
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