3380084772607146240
3,380,084,772,607,146,240 is an even composite number composed of seven prime numbers multiplied together.
What does the number 3380084772607146240 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1296 divisors.
3380084772607146240 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 3380084772607146240:
28 × 32 × 5 × 72 × 13 × 53 × 8690801117
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 13 × 53 × 8690801117)See below for interesting mathematical facts about the number 3380084772607146240 from the Numbermatics database.
Names of 3380084772607146240
- Cardinal: 3380084772607146240 can be written as Three quintillion, three hundred eighty quadrillion, eighty-four trillion, seven hundred seventy-two billion, six hundred seven million, one hundred forty-six thousand, two hundred forty.
Scientific notation
- Scientific notation: 3.38008477260714624 × 1018
Factors of 3380084772607146240
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 16
- Sum of prime factors: 8690801200
Divisors of 3380084772607146240
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 30 32 35 36 39 40 42 45 48 49 52 53 56 60 63 64 65 70 72 78 80 84 90 91 96 98 104 105 106 112 117 120 126 128 130 140 144 147 156 159 160 168 180 182 192 195 196 208 210 212 224 234 240 245 252 256 260 265 273 280 288 294 312 315 318 320 336 360 364 371 384 390 392 416 420 424 441 448 455 468 477 480 490 504 520 530 546 560 576 585 588 624 630 636 637 640 672 689 720 728 735 742 768 780 784 795 819 832 840 848 882 896 910 936 954 960 980 1008 1040 1060 1092 1113 1120 1152 1170 1176 1248 1260 1272 1274 1280 1344 1365 1378 1440 1456 1470 1484 1560 1568 1590 1638 1664 1680 1696 1764 1792 1820 1855 1872 1908 1911 1920 1960 2016 2067 2080 2120 2184 2205 2226 2240 2304 2340 2352 2385 2496 2520 2544 2548 2597 2688 2730 2756 2880 2912 2940 2968 3120 3136 3180 3185 3276 3328 3339 3360 3392 3445 3528 3640 3710 3744 3816 3822 3840 3920 4032 4095 4134 4160 4240 4368 4410 4452 4480 4680 4704 4770 4823 4992 5040 5088 5096 5194 5376 5460 5512 5565 5733 5760 5824 5880 5936 6201 6240 6272 6360 6370 6552 6678 6720 6784 6890 7056 7280 7420 7488 7632 7644 7791 7840 8064 8190 8268 8320 8480 8736 8820 8904 8960 9360 9408 9540 9555 9646 9984 10080 10176 10192 10335 10388 10920 11024 11130 11466 11520 11648 11760 11872 12402 12480 12544 12720 12740 12985 13104 13356 13440 13568 13780 14112 14469 14560 14840 14976 15264 15288 15582 15680 16128 16380 16536 16640 16695 16960 17472 17640 17808 18720 18816 19080 19110 19292 20160 20352 20384 20670 20776 21840 22048 22260 22932 23296 23373 23520 23744 24115 24804 24960 25440 25480 25970 26208 26712 26880 27560 28224 28665 28938 29120 29680 29952 30528 30576 31005 31164 31360 32760 33072 33390 33761 33920 34944 35280 35616 37440 37632 38160 38220 38584 38955 40320 40704 40768 41340 41552 43407 43680 44096 44520 45864 46746 47040 47488 48230 49608 49920 50880 50960 51940 52416 53424 55120 56448 57330 57876 58240 59360 61056 61152 62010 62328 62720 65520 66144 66780 67522 67840 69888 70560 71232 72345 74880 76320 76440 77168 77910 80640 81536 82680 83104 86814 87360 88192 89040 91728 93492 94080 94976 96460 99216 101283 101760 101920 103880 104832 106848 110240 112896 114660 115752 116480 116865 118720 122112 122304 124020 124656 131040 132288 133560 135044 141120 142464 144690 149760 152640 152880 154336 155820 163072 165360 166208 168805 173628 174720 176384 178080 183456 186984 188160 192920 198432 202566 203520 203840 207760 209664 213696 217035 220480 229320 231504 233730 237440 244608 248040 249312 262080 264576 267120 270088 282240 284928 289380 303849 305280 305760 308672 311640 330720 332416 337610 347256 349440 356160 366912 373968 385840 396864 405132 407680 415520 427392 434070 440960 458640 463008 467460 474880 489216 496080 498624 506415 524160 529152 534240 540176 564480 578760 607698 610560 611520 617344 623280 661440 664832 675220 694512 712320 733824 747936 771680 793728 810264 815360 831040 854784 868140 881920 917280 926016 934920 992160 997248 1012830 1048320 1068480 1080352 1157520 1215396 1223040 1234688 1246560 1322880 1350440 1389024 1424640 1467648 1495872 1519245 1543360 1587456 1620528 1662080 1736280 1834560 1852032 1869840 1984320 1994496 2025660 2136960 2160704 2315040 2430792 2446080 2493120 2645760 2700880 2778048 2991744 3038490 3086720 3241056 3324160 3472560 3669120 3704064 3739680 3968640 4051320 4273920 4321408 4630080 4861584 4986240 5401760 5556096 5983488 6076980 6173440 6482112 6945120 7338240 7479360 7937280 8102640 8642816 9260160 9723168 9972480 10803520 11112192 12153960 12964224 13890240 14958720 16205280 18520320 19446336 21607040 24307920 25928448 27780480 29917440 32410560 38892672 43214080 48615840 55560960 64821120 77785344 97231680 129642240 194463360 388926720 8690801117 17381602234 26072403351 34763204468 43454005585 52144806702 60835607819 69526408936 78217210053 86908011170 104289613404 112980414521 121671215638 130362016755 139052817872 156434420106 173816022340 182506823457 208579226808 225960829042 243342431276 260724033510 278105635744 304178039095 312868840212 338941243563 347632044680 365013646914 391086050265 417158453616 425849254733 451921658084 460612459201 486684862552 521448067020 547520470371 556211271488 564902072605 608356078190 625737680424 677882487126 695264089360 730027293828 782172100530 790862901647 834316907232 851698509466 903843316168 912534117285 921224918402 973369725104 1016823730689 1042896134040 1095040940742 1112422542976 1129804145210 1216712156380 1251475360848 1277547764199 1355764974252 1381837377603 1390528178720 1460054587656 1564344201060 1581725803294 1668633814464 1694706217815 1703397018932 1807686632336 1825068234570 1842449836804 1946739450208 2033647461378 2085792268080 2129246273665 2190081881484 2224845085952 2259608290420 2303062296005 2372588704941 2433424312760 2502950721696 2555095528398 2711529948504 2737602351855 2763674755206 2781056357440 2920109175312 3128688402120 3163451606588 3224287214407 3337267628928 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110720806230580 112850052504245 113884257837168 116074339718652 116804367012480 117916789555456 119759239392260 122644585363104 125747201361873 126538064263520 128971488576280 130153437528192 132656388249888 132864967476696 135420063005094 136271761514560 140165240414976 142355322296460 143711087270712 144614930586880 145092924648315 147395986944320 151845677116224 153305731703880 154765786291536 162691796910240 163526113817472 165820485312360 166081209345870 167662935149164 175206550518720 176875184333184 177153289968928 179638859088390 180560084006792 189807096395280 191614783027616 193457232864420 199297451215044 202460902821632 203130094507641 204407642271840 206354381722048 209578668936455 215566630906068 216922395880320 221093980416480 221441612461160 225700105008490 227768515674336 232148679437304 233608734024960 239518478784520 245289170726208 249121814018805 251494402723746 253076128527040 257942977152560 260306875056384 265312776499776 265729934953392 269458288632585 270840126010188 272543523029120 284710644592920 287422174541424 290185849296630 293410136511037 294791973888640 303691354232448 306611463407760 309531572583072 325383593820480 327052227634944 331640970624720 332162418691740 335325870298328 338550157512735 350413101037440 353750368666368 354306579937856 359277718176780 361120168013584 377241604085619 379614192790560 383229566055232 386914465728840 398594902430088 406260189015282 408815284543680 412708763444096 419157337872910 431133261812136 433844791760640 442187960832960 442883224922320 451400210016980 455537031348672 464297358874608 479036957569040 490578341452416 498243628037610 502988805447492 506152257054080 515885954305120 530625552999552 531459869906784 538916577265170 541680252020376 545087046058240 569421289185840 574844349082848 580371698593260 586820273022074 589583947777280 607382708464896 613222926815520 619063145166144 628736006809365 650767187640960 663281941249440 664324837383480 670651740596656 677100315025470 700826202074880 708613159875712 718555436353560 722240336027168 754483208171238 759228385581120 766459132110464 773828931457680 797189804860176 812520378030564 817630569087360 825417526888192 838314675745820 862266523624272 880230409533111 884375921665920 885766449844640 902800420033960 911074062697344 928594717749216 958073915138080 981156682904832 996487256075220 1005977610894984 1012304514108160 1015650472538205 1031771908610240 1061251105999104 1062919739813568 1077833154530340 1083360504040752 1138842578371680 1149688698165696 1160743397186520 1173640546044148 1226445853631040 1238126290332288 1257472013618730 1301534375281920 1326563882498880 1328649674766960 1341303481193312 1354200630050940 1417226319751424 1437110872707120 1444480672054336 1467050682555185 1508966416342476 1518456771162240 1532918264220928 1547657862915360 1594379609720352 1625040756061128 1635261138174720 1676629351491640 1724533047248544 1760460819066222 1768751843331840 1771532899689280 1805600840067920 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5748443490828480 5777922688217344 5868202730220740 6035865665369904 6190631451661440 6377518438881408 6500163024244512 6706517405966560 6898132188994176 7041843276264888 7086131598757120 7222403360271680 7428757741993728 7544832081712380 7664591321104640 7971898048601760 8047820887159872 8125203780305640 8622665236242720 8666884032326016 8802304095331110 9110740626973440 9285947177492160 9389124368353184 10059776108949840 10562764914397332 10629197398135680 10730427849546496 10833605040407520 11496886981656960 11736405460441480 12071731330739808 12381262903322880 12755036877762816 13000326048489024 13203456142996665 13413034811933120 13796264377988352 14083686552529776 14444806720543360 15089664163424760 15943796097203520 16095641774319744 16250407560611280 17245330472485440 17333768064652032 17604608190662220 18571894354984320 18778248736706368 20119552217899680 21125529828794664 21258394796271360 21667210080815040 22993773963313920 23472810920882960 24143462661479616 26000652096978048 26406912285993330 26826069623866240 28167373105059552 28889613441086720 30179328326849520 31887592194407040 32191283548639488 32500815121222560 34490660944970880 35209216381324440 37143788709968640 37556497473412736 40239104435799360 42251059657589328 43334420161630080 46945621841765920 48286925322959232 52001304193956096 52813824571986660 53652139247732480 56334746210119104 60358656653699040 63775184388814080 65001630242445120 68981321889941760 70418432762648880 75112994946825472 80478208871598720 84502119315178656 86668840323260160 93891243683531840 96573850645918464 105627649143973320 112669492420238208 120717313307398080 130003260484890240 140836865525297760 160956417743197440 169004238630357312 187782487367063680 211255298287946640 225338984840476416 241434626614796160 260006520969780480 281673731050595520 338008477260714624 375564974734127360 422510596575893280 482869253229592320 563347462101191040 676016954521429248 845021193151786560 1126694924202382080 1690042386303573120 3380084772607146240
- Sum of all divisors σ(n): 14926980502821926448
- Sum of proper divisors (its aliquot sum) s(n): 11546895730214780208
- 3380084772607146240 is an abundant number, because the sum of its proper divisors (11546895730214780208) is greater than itself. Its abundance is 8166810957607633968
Bases of 3380084772607146240
- Binary: 101110111010000111100100110001001101011111010010111001000000002
- Hexadecimal: 0x2EE8793135F4B900
- Base-36: POHO1W13NSW0
Squares and roots of 3380084772607146240
- 3380084772607146240 squared (33800847726071462402) is 11424973070010703504770741116746137600
- 3380084772607146240 cubed (33800847726071462403) is 38617377501389898235040866792544271422622445678362624000
-
The
square root of 3380084772607146240 is 1838500686.0502245241 -
The
cube root of 3380084772607146240 is 1500752.9216549243
Scales and comparisons
How big is 3380084772607146240?- 3,380,084,772,607,146,240 seconds is equal to 107,476,240,480 years, 12 weeks, 22 hours, 24 minutes.
-
To count from 1 to 3,380,084,772,607,146,240 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 3380084772607146240 cubic inches would be around 125062.7 feet tall.
Recreational maths with 3380084772607146240
- 3380084772607146240 backwards is 0426417062774800833
- 3380084772607146240 is a
Harshad number . - The number of decimal digits it has is: 19
- The sum of 3380084772607146240's digits is 72
- More coming soon!
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"Number 3380084772607146240 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 3380084772607146240 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/3380084772607146240/
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The information we have on file for 3380084772607146240 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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