30984465408000
30,984,465,408,000 is an even composite number composed of six prime numbers multiplied together.
30984465408000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 30984465408000:
213 × 3 × 53 × 132 × 37 × 1613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 13 × 37 × 1613)See below for interesting mathematical facts about the number 30984465408000 from the Numbermatics database.
Names of 30984465408000
- Cardinal: 30984465408000 can be written as Thirty trillion, nine hundred eighty-four billion, four hundred sixty-five million, four hundred eight thousand.
Scientific notation
- Scientific notation: 3.0984465408 × 1013
Factors of 30984465408000
Divisors of 30984465408000
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 37 39 40 48 50 52 60 64 65 74 75 78 80 96 100 104 111 120 125 128 130 148 150 156 160 169 185 192 195 200 208 222 240 250 256 260 296 300 312 320 325 338 370 375 384 390 400 416 444 480 481 500 507 512 520 555 592 600 624 640 650 676 740 750 768 780 800 832 845 888 925 960 962 975 1000 1014 1024 1040 1110 1184 1200 1248 1280 1300 1352 1443 1480 1500 1536 1560 1600 1613 1625 1664 1690 1776 1850 1920 1924 1950 2000 2028 2048 2080 2220 2368 2400 2405 2496 2535 2560 2600 2704 2775 2886 2960 3000 3072 3120 3200 3226 3250 3328 3380 3552 3700 3840 3848 3900 4000 4056 4096 4160 4225 4440 4625 4736 4800 4810 4839 4875 4992 5070 5120 5200 5408 5550 5772 5920 6000 6144 6240 6253 6400 6452 6500 6656 6760 7104 7215 7400 7680 7696 7800 8000 8065 8112 8192 8320 8450 8880 9250 9472 9600 9620 9678 9750 9984 10140 10240 10400 10816 11100 11544 11840 12000 12025 12288 12480 12506 12675 12800 12904 13000 13312 13520 13875 14208 14430 14800 15360 15392 15600 16000 16130 16224 16640 16900 17760 18500 18759 18944 19200 19240 19356 19500 19968 20280 20480 20800 20969 21125 21632 22200 23088 23680 24000 24050 24195 24576 24960 25012 25350 25600 25808 26000 26624 27040 27750 28416 28860 29600 30720 30784 31200 31265 32000 32260 32448 33280 33800 35520 36075 37000 37518 37888 38400 38480 38712 39000 39936 40325 40560 40960 41600 41938 42250 43264 44400 46176 47360 48000 48100 48390 49920 50024 50700 51200 51616 52000 53248 54080 55500 56832 57720 59200 59681 60125 61440 61568 62400 62530 62907 63375 64000 64520 64896 66560 67600 71040 72150 74000 75036 75776 76800 76960 77424 78000 79872 80650 81120 83200 83876 84500 86528 88800 92352 93795 94720 96000 96200 96780 99840 100048 101400 102400 103232 104000 104845 106496 108160 111000 113664 115440 118400 119362 120250 120975 122880 123136 124800 125060 125814 126750 128000 129040 129792 133120 135200 142080 144300 148000 150072 151552 153600 153920 154848 156000 156325 159744 161300 162240 166400 167752 169000 173056 177600 179043 180375 184704 187590 189440 192000 192400 193560 199680 200096 201625 202800 204800 206464 208000 209690 216320 222000 227328 230880 236800 238724 240500 241950 246272 249600 250120 251628 253500 256000 258080 259584 266240 270400 272597 284160 288600 296000 298405 300144 303104 307200 307840 309696 312000 312650 314535 319488 322600 324480 332800 335504 338000 346112 355200 358086 360750 369408 375180 378880 384000 384800 387120 399360 400192 403250 405600 412928 416000 419380 432640 444000 454656 461760 468975 473600 477448 481000 483900 492544 499200 500240 503256 507000 512000 516160 519168 524225 532480 540800 545194 568320 577200 592000 596810 600288 604875 614400 615680 619392 624000 625300 629070 645200 648960 665600 671008 676000 692224 710400 716172 721500 738816 750360 757760 768000 769600 774240 775853 781625 798720 800384 806500 811200 817791 825856 832000 838760 865280 888000 895215 909312 923520 937950 947200 954896 962000 967800 985088 998400 1000480 1006512 1014000 1024000 1032320 1038336 1048450 1081600 1090388 1136640 1154400 1184000 1193620 1200576 1209750 1231360 1238784 1248000 1250600 1258140 1290400 1297920 1331200 1342016 1352000 1362985 1384448 1420800 1432344 1443000 1477632 1492025 1500720 1515520 1536000 1539200 1548480 1551706 1563250 1572675 1597440 1600768 1613000 1622400 1635582 1651712 1664000 1677520 1730560 1776000 1790430 1847040 1875900 1894400 1909792 1924000 1935600 1970176 1996800 2000960 2013024 2028000 2064640 2076672 2096900 2163200 2180776 2273280 2308800 2327559 2344875 2368000 2387240 2401152 2419500 2462720 2477568 2496000 2501200 2516280 2580800 2595840 2621125 2662400 2684032 2704000 2725970 2841600 2864688 2886000 2955264 2984050 3001440 3072000 3078400 3096960 3103412 3126500 3145350 3201536 3226000 3244800 3271164 3303424 3328000 3355040 3461120 3552000 3580860 3694080 3751800 3788800 3819584 3848000 3871200 3879265 3940352 3993600 4001920 4026048 4056000 4088955 4129280 4153344 4193800 4326400 4361552 4476075 4546560 4617600 4655118 4689750 4736000 4774480 4802304 4839000 4925440 4955136 4992000 5002400 5032560 5161600 5191680 5242250 5368064 5408000 5451940 5683200 5729376 5772000 5910528 5968100 6002880 6156800 6193920 6206824 6253000 6290700 6403072 6452000 6489600 6542328 6606848 6656000 6710080 6814925 6922240 7104000 7161720 7388160 7460125 7503600 7577600 7639168 7696000 7742400 7758530 7863375 7987200 8003840 8052096 8112000 8177910 8258560 8387600 8652800 8723104 8952150 9235200 9310236 9379500 9472000 9548960 9604608 9678000 9850880 9910272 9984000 10004800 10065120 10086089 10323200 10383360 10484500 10736128 10816000 10903880 11366400 11458752 11544000 11637795 11821056 11936200 12005760 12313600 12387840 12413648 12506000 12581400 12806144 12904000 12979200 13084656 13213696 13312000 13420160 13629850 14208000 14323440 14776320 14920250 15007200 15278336 15392000 15484800 15517060 15726750 16007680 16104192 16224000 16355820 16517120 16775200 17305600 17446208 17904300 18470400 18620472 18759000 18944000 19097920 19209216 19356000 19396325 19701760 19820544 19968000 20009600 20130240 20172178 20444775 20646400 20766720 20969000 21472256 21632000 21807760 22380375 22732800 22917504 23088000 23275590 23872400 24011520 24627200 24775680 24827296 25012000 25162800 25612288 25808000 25958400 26169312 26840320 27259700 28416000 28646880 29552640 29840500 30014400 30258267 30556672 30784000 30969600 31034120 31453500 32015360 32208384 32448000 32711640 33034240 33550400 34074625 34611200 34892416 35808600 36940800 37240944 37518000 37888000 38195840 38418432 38712000 38792650 39641088 39936000 40019200 40260480 40344356 40889550 41292800 41938000 42944512 43264000 43615520 44760750 45835008 46176000 46551180 47744800 48023040 49254400 49551360 49654592 50024000 50325600 50430445 51224576 51616000 51916800 52338624 53680640 54519400 56832000 57293760 58188975 59105280 59681000 60028800 60516534 61113344 61568000 61939200 62068240 62907000 64030720 64416768 64896000 65423280 66068480 67100800 68149250 69784832 71617200 73881600 74481888 75036000 76391680 76836864 77424000 77585300 80038400 80520960 80688712 81779100 82585600 83876000 85889024 86528000 87231040 89521500 91670016 92352000 93102360 95489600 96046080 96981625 98508800 99102720 99309184 100048000 100651200 100860890 102223875 103232000 103833600 104677248 107361280 109038800 113664000 114587520 116377950 119362000 120057600 121033068 122226688 123136000 123878400 124136480 125814000 128061440 128833536 129792000 130846560 134201600 136298500 139569664 143234400 147763200 148963776 150072000 151291335 152783360 153673728 154848000 155170600 160076800 161041920 161377424 163558200 165171200 167752000 171778048 173056000 174462080 179043000 183340032 184704000 186204720 190979200 192092160 193963250 198205440 198618368 200096000 201302400 201721780 204447750 206464000 209354496 214722560 218077600 229175040 232755900 238724000 240115200 242066136 244453376 246272000 247756800 248272960 251628000 252152225 256122880 257667072 259584000 261693120 268403200 272597000 279139328 286468800 290944875 295526400 297927552 300144000 302582670 305566720 309696000 310341200 320153600 322083840 322754848 327116400 330342400 335504000 348924160 358086000 366680064 369408000 372409440 381958400 384184320 387926500 397236736 400192000 402604800 403443560 408895500 412928000 418708992 429445120 436155200 458350080 465511800 477448000 480230400 484132272 488906752 492544000 495513600 496545920 503256000 504304450 515334144 519168000 523386240 536806400 545194000 558278656 572937600 581889750 595855104 600288000 605165340 611133440 619392000 620682400 640307200 644167680 645509696 654232800 671008000 697848320 716172000 733360128 738816000 744818880 756456675 763916800 768368640 775853000 794473472 800384000 805209600 806887120 817791000 825856000 837417984 858890240 872310400 916700160 931023600 954896000 960460800 968264544 991027200 993091840 1006512000 1008608900 1046772480 1073612800 1090388000 1116557312 1145875200 1163779500 1191710208 1200576000 1210330680 1222266880 1238784000 1241364800 1260761125 1280614400 1288335360 1291019392 1308465600 1342016000 1395696640 1432344000 1466720256 1477632000 1489637760 1512913350 1527833600 1551706000 1588946944 1600768000 1610419200 1613774240 1635582000 1651712000 1674835968 1744620800 1833400320 1862047200 1909792000 1920921600 1936529088 1986183680 2013024000 2017217800 2093544960 2147225600 2180776000 2233114624 2291750400 2327559000 2383420416 2401152000 2420661360 2444533760 2477568000 2482729600 2521522250 2576670720 2582038784 2616931200 2684032000 2791393280 2864688000 2979275520 3025826700 3055667200 3103412000 3177893888 3201536000 3220838400 3227548480 3271164000 3349671936 3489241600 3666800640 3724094400 3782283375 3819584000 3841843200 3873058176 3972367360 4026048000 4034435600 4187089920 4294451200 4361552000 4583500800 4655118000 4766840832 4802304000 4841322720 4955136000 4965459200 5043044500 5164077568 5233862400 5368064000 5582786560 5729376000 5958551040 6051653400 6111334400 6206824000 6355787776 6403072000 6441676800 6455096960 6542328000 6699343872 6978483200 7333601280 7448188800 7564566750 7639168000 7746116352 7944734720 8052096000 8068871200 8374179840 8723104000 9167001600 9310236000 9533681664 9604608000 9682645440 9930918400 10086089000 10328155136 10467724800 10736128000 11165573120 11458752000 11917102080 12103306800 12222668800 12413648000 12883353600 12910193920 13084656000 13956966400 14896377600 15129133500 15278336000 15492232704 15889469440 16104192000 16137742400 16748359680 17446208000 18334003200 18620472000 19067363328 19209216000 19365290880 19861836800 20172178000 20656310272 20935449600 21472256000 22917504000 23834204160 24206613600 24827296000 25820387840 26169312000 27913932800 29792755200 30258267000 30556672000 30984465408 31778938880 32208384000 32275484800 33496719360 34892416000 36668006400 37240944000 38730581760 39723673600 40344356000 41312620544 41870899200 45835008000 47668408320 48413227200 49654592000 51640775680 52338624000 55827865600 59585510400 60516534000 61113344000 61968930816 64416768000 64550969600 69784832000 74481888000 77461163520 79447347200 80688712000 82625241088 83741798400 91670016000 95336816640 96826454400 99309184000 103281551360 104677248000 119171020800 121033068000 123937861632 129101939200 139569664000 148963776000 154922327040 158894694400 161377424000 167483596800 183340032000 193652908800 198618368000 206563102720 209354496000 238342041600 242066136000 247875723264 258203878400 279139328000 297927552000 309844654080 322754848000 387305817600 397236736000 413126205440 418708992000 476684083200 484132272000 516407756800 595855104000 619689308160 645509696000 774611635200 794473472000 837417984000 968264544000 1032815513600 1191710208000 1239378616320 1291019392000 1549223270400 1936529088000 2065631027200 2383420416000 2582038784000 3098446540800 3873058176000 5164077568000 6196893081600 7746116352000 10328155136000 15492232704000 30984465408000
- Sum of all divisors σ(n): 114740367797952
- Sum of proper divisors (its aliquot sum) s(n): 83755902389952
- 30984465408000 is an abundant number, because the sum of its proper divisors (83755902389952) is greater than itself. Its abundance is 52771436981952
Bases of 30984465408000
- Binary: 1110000101110001000100000110111100000000000002
- Hexadecimal: 0x1C2E220DE000
- Base-36: AZE2EPIIO
Squares and roots of 30984465408000
- 30984465408000 squared (309844654080002) is 960037096619548606464000000
- 30984465408000 cubed (309844654080003) is 29746236210605157533558413197312000000000
-
The
square root of 30984465408000 is 5566369.1404720905 -
The
cube root of 30984465408000 is 31408.5583281593
Scales and comparisons
How big is 30984465408000?- 30,984,465,408,000 seconds is equal to 985,210 years, 8 weeks, 1 day, 18 hours, 40 minutes.
-
To count from 1 to 30,984,465,408,000 would take you about two million, four hundred sixty-three thousand and twenty-five 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 30984465408000 cubic inches would be around 2617.4 feet tall.
Recreational maths with 30984465408000
- 30984465408000 backwards is 00080456448903
- The number of decimal digits it has is: 14
- The sum of 30984465408000's digits is 51
- More coming soon!
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The information we have on file for 30984465408000 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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