5409916128940320
5,409,916,128,940,320 is an even composite number composed of seven prime numbers multiplied together.
What does the number 5409916128940320 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 576 divisors.
5409916128940320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 5409916128940320:
25 × 32 × 5 × 337 × 557 × 1733 × 11549
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 337 × 557 × 1733 × 11549)See below for interesting mathematical facts about the number 5409916128940320 from the Numbermatics database.
Names of 5409916128940320
- Cardinal: 5409916128940320 can be written as Five quadrillion, four hundred nine trillion, nine hundred sixteen billion, one hundred twenty-eight million, nine hundred forty thousand, three hundred twenty.
Scientific notation
- Scientific notation: 5.40991612894032 × 1015
Factors of 5409916128940320
Divisors of 5409916128940320
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 337 360 480 557 674 720 1011 1114 1348 1440 1671 1685 1733 2022 2228 2696 2785 3033 3342 3370 3466 4044 4456 5013 5055 5199 5392 5570 6066 6684 6740 6932 8088 8355 8665 8912 10026 10110 10398 10784 11140 11549 12132 13368 13480 13864 15165 15597 16176 16710 17330 17824 20052 20220 20796 22280 23098 24264 25065 25995 26736 26960 27728 30330 31194 32352 33420 34647 34660 40104 40440 41592 44560 46196 48528 50130 51990 53472 53920 55456 57745 60660 62388 66840 69294 69320 77985 80208 80880 83184 89120 92392 97056 100260 103941 103980 115490 121320 124776 133680 138588 138640 155970 160416 161760 166368 173235 184784 187709 200520 207882 207960 230980 242640 249552 267360 277176 277280 311940 346470 369568 375418 401040 415764 415920 461960 485280 499104 519705 554352 563127 584021 623880 692940 750836 802080 831528 831840 923920 938545 965281 1039410 1108704 1126254 1168042 1247760 1385880 1501672 1663056 1689381 1752063 1847840 1877090 1930562 2078820 2252508 2336084 2495520 2771760 2815635 2895843 2920105 3003344 3326112 3378762 3504126 3754180 3861124 3892013 4157640 4505016 4672168 4826405 5256189 5543520 5631270 5791686 5840210 6006688 6432793 6757524 7008252 7508360 7722248 7784026 8315280 8446905 8687529 8760315 9010032 9344336 9652810 10512378 11262540 11583372 11676039 11680420 12865586 13515048 14016504 14479215 15016720 15444496 15568052 16630560 16893810 17375058 17520630 18020064 18688672 19298379 19305620 19460065 20014417 21024756 22525080 23166744 23352078 23360840 25731172 26280945 27030096 28033008 28958430 30033440 30888992 31136104 32163965 33787620 34750116 35028117 35041260 38596758 38611240 38920130 40028834 42049512 43437645 45050160 46333488 46704156 46721680 51462344 52561890 54060192 56066016 57895137 57916860 58380195 60043251 62272208 64327930 67575240 69500232 70056234 70082520 77193516 77222480 77840260 80057668 84099024 86875290 90100320 92666976 93408312 93443360 96491895 100072085 102924688 105123780 115790274 115833720 116760390 120086502 124544416 128655860 135150480 139000464 140112468 140165040 154387032 154444960 155680520 160115336 168198048 173750580 175140585 180129753 186816624 192983790 200144170 205849376 210247560 231580548 231667440 233520780 240173004 257311720 270300960 278000928 280224936 280330080 289475685 300216255 308774064 311361040 320230672 325299697 347501160 350281170 360259506 373633248 385967580 400288340 420495120 463161096 463334880 467041560 480346008 514623440 560449872 578951370 600432510 617548128 622722080 640461344 650599394 695002320 700562340 720519012 771935160 800576680 840990240 900648765 926322192 934083120 960692016 975899091 1029246880 1120899744 1157902740 1200865020 1301198788 1390004640 1401124680 1441038024 1543870320 1601153360 1626498485 1801297530 1852644384 1868166240 1921384032 1951798182 2167851241 2315805480 2401730040 2602397576 2802249360 2882076048 2927697273 3087740640 3202306720 3252996970 3602595060 3903596364 4335702482 4631610960 4803460080 4879495455 5204795152 5604498720 5764152096 5855394546 6503553723 6505993940 6744858529 7205190120 7807192728 8671404964 9263221920 9606920160 9758990910 10409590304 10839256205 11148030269 11710789092 13007107446 13011987880 13489717058 14410380240 14638486365 15614385456 17342809928 19510661169 19517981820 20234575587 21678512410 22296060538 23421578184 26014214892 26023975760 26979434116 28820760480 29276972730 31228770912 32517768615 33444090807 33724292645 34685619856 39021322338 39035963640 40469151174 43357024820 44592121076 46843156368 52028429784 52047951520 53958868232 55740151345 58553945460 60703726761 65035537230 66888181614 67448585290 69371239712 78042644676 78071927280 80938302348 86714049640 89184242152 93686312736 97553305845 100332272421 101172877935 104056859568 107917736464 111480302690 117107890920 121407453522 130071074460 133776363228 134897170580 156085289352 156143854560 161876604696 167220454035 173428099280 178368484304 195106611690 200664544842 202345755870 208113719136 215835472928 222960605380 234215781840 242814907044 260142148920 267552726456 269794341160 303518633805 312170578704 323753209392 334440908070 346856198560 356736968608 390213223380 401329089684 404691511740 445921210760 468431563680 485629814088 501661362105 520284297840 535105452912 539588682320 607037267610 624341157408 647506418784 668881816140 780426446760 802658179368 809383023480 891842421520 971259628176 1003322724210 1040568595680 1070210905824 1079177364640 1214074535220 1337763632280 1560852893520 1605316358736 1618766046960 1783684843040 1942519256352 2006645448420 2428149070440 2675527264560 3121705787040 3210632717472 3237532093920 3756886200653 4013290896840 4856298140880 5351054529120 7513772401306 8026581793680 9712596281760 11270658601959 15027544802612 16053163587360 18784431003265 22541317203918 30055089605224 33811975805877 37568862006530 45082634407836 56353293009795 60110179210448 67623951611754 75137724013060 90165268815672 112706586019590 120220358420896 135247903223508 150275448026120 169059879029385 180330537631344 225413172039180 270495806447016 300550896052240 338119758058770 360661075262688 450826344078360 540991612894032 601101792104480 676239516117540 901652688156720 1081983225788064 1352479032235080 1803305376313440 2704958064470160 5409916128940320
- Sum of all divisors σ(n): 18561673481551200
- Sum of proper divisors (its aliquot sum) s(n): 13151757352610880
- 5409916128940320 is an abundant number, because the sum of its proper divisors (13151757352610880) is greater than itself. Its abundance is 7741841223670560
Bases of 5409916128940320
- Binary: 100110011100001001010010000010010000101010001001000002
- Hexadecimal: 0x13384A41215120
- Base-36: 1H9NL5R9XK0
Squares and roots of 5409916128940320
- 5409916128940320 squared (54099161289403202) is 29267192522168617051846121702400
- 5409916128940320 cubed (54099161289403203) is 158333056874481525396683739958256521466400768000
-
The
square root of 5409916128940320 is 73552132.0489101797 -
The
cube root of 5409916128940320 is 175548.3872816757
Scales and comparisons
How big is 5409916128940320?- 5,409,916,128,940,320 seconds is equal to 172,018,598 years, 48 weeks, 2 days, 21 hours, 12 minutes.
-
To count from 1 to 5,409,916,128,940,320 would take you about five hundred sixteen million, fifty-five thousand, seven hundred ninety-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 5409916128940320 cubic inches would be around 14629 feet tall.
Recreational maths with 5409916128940320
- 5409916128940320 backwards is 0230498216199045
- The number of decimal digits it has is: 16
- The sum of 5409916128940320's digits is 63
- More coming soon!
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