135616334328384
135,616,334,328,384 is an even composite number composed of seven prime numbers multiplied together.
What does the number 135616334328384 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1008 divisors.
135616334328384 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 135616334328384:
26 × 3 × 72 × 132 × 41 × 127 × 16381
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 13 × 13 × 41 × 127 × 16381)See below for interesting mathematical facts about the number 135616334328384 from the Numbermatics database.
Names of 135616334328384
- Cardinal: 135616334328384 can be written as One hundred thirty-five trillion, six hundred sixteen billion, three hundred thirty-four million, three hundred twenty-eight thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 1.35616334328384 × 1014
Factors of 135616334328384
Divisors of 135616334328384
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 41 42 48 49 52 56 64 78 82 84 91 96 98 104 112 123 127 147 156 164 168 169 182 192 196 208 224 246 254 273 287 294 312 328 336 338 364 381 392 416 448 492 507 508 533 546 574 588 624 637 656 672 676 728 762 784 832 861 889 984 1014 1016 1066 1092 1148 1176 1183 1248 1274 1312 1344 1352 1456 1524 1568 1599 1651 1722 1778 1911 1968 2009 2028 2032 2132 2184 2296 2352 2366 2496 2548 2624 2667 2704 2912 3048 3136 3198 3302 3444 3549 3556 3731 3822 3936 4018 4056 4064 4264 4368 4592 4704 4732 4953 5096 5207 5334 5408 5824 6027 6096 6223 6396 6604 6888 6929 7098 7112 7462 7644 7872 8036 8112 8128 8281 8528 8736 9184 9408 9464 9906 10192 10414 10668 10816 11193 11557 12054 12192 12446 12792 13208 13776 13858 14196 14224 14924 15288 15621 16072 16224 16381 16562 17056 17472 18368 18669 18928 19812 20384 20787 20828 21336 21463 22386 23114 24108 24384 24843 24892 25584 26117 26416 27552 27716 28392 28448 29848 30576 31242 32144 32448 32762 33124 34112 34671 36449 37338 37856 39624 40768 41574 41656 42672 42926 44772 46228 48216 48503 49143 49686 49784 51168 52234 52832 55104 55432 56784 56896 59696 61152 62484 64288 64389 65524 66248 67691 69342 72898 74676 75712 78351 79248 80899 83148 83312 85344 85852 89544 92456 96432 97006 98286 99372 99568 102336 104468 105664 109347 110864 113568 114667 119392 122304 124968 128576 128778 131048 132496 135382 138684 145509 145796 149352 150241 156702 158496 161798 166296 166624 170688 171704 179088 184912 192864 194012 196572 198744 199136 203073 208936 212953 218694 221728 227136 229334 238784 242697 249936 255143 257556 262096 264992 270764 277368 291018 291592 298704 300482 313404 316992 323596 332592 333248 339521 343408 344001 358176 369824 385728 388024 393144 397488 398272 406146 417872 425906 437388 443456 450723 458668 473837 485394 499872 510286 515112 524192 529984 541528 554736 582036 583184 597408 600964 626808 638859 647192 665184 671621 679042 686816 688002 716352 739648 765429 776048 786288 794976 802669 812292 835744 851812 874776 879983 901446 917336 947674 970788 999744 1018563 1020572 1030224 1048384 1051687 1083056 1109472 1164072 1166368 1194816 1201928 1253616 1277718 1294384 1330368 1343242 1358084 1373632 1376004 1421511 1490671 1530858 1552096 1572576 1589952 1605338 1624584 1671488 1703624 1749552 1759966 1802892 1834672 1895348 1941576 2014863 2037126 2041144 2060448 2080387 2103374 2166112 2218944 2328144 2332736 2403856 2408007 2507232 2555436 2588768 2639949 2686484 2716168 2752008 2768389 2843022 2981342 3061716 3104192 3145152 3155061 3210676 3249168 3316859 3407248 3499104 3519932 3605784 3669344 3790696 3883152 4029726 4074252 4082288 4120896 4160774 4206748 4332224 4472013 4656288 4701347 4807712 4816014 5014464 5110872 5177536 5279898 5372968 5432336 5504016 5536778 5686044 5962684 6123432 6159881 6241161 6310122 6421352 6498336 6633718 6814496 6998208 7039864 7211568 7338688 7581392 7766304 8059452 8148504 8164576 8305167 8321548 8413496 8731073 8944026 9312576 9402694 9615424 9632028 9950577 10221744 10434697 10559796 10745936 10864672 11008032 11073556 11372088 11925368 12246864 12319762 12482322 12620244 12842704 12996672 13267436 13628992 14079728 14104041 14423136 14562709 15162784 15532608 16118904 16297008 16329152 16610334 16643096 16826992 17462146 17888052 18479643 18805388 19264056 19378723 19901154 20443488 20869394 21119592 21491872 21729344 22016064 22147112 22744176 23850736 24493728 24639524 24964644 25240488 25685408 26193219 26534872 27045031 28159456 28208082 28846272 29125418 30325568 31304091 32237808 32594016 32909429 33220668 33286192 33653984 34924292 35776104 36959286 37610776 38528112 38757446 39802308 40886976 41738788 42239184 42983744 43119167 43688127 44294224 45488352 47701472 48987456 49279048 49929288 50480976 51370816 52386438 53069744 54090062 56318912 56416164 58136169 58250836 61117511 62608182 64475616 65188032 65818858 66441336 66572384 67307968 69848584 71552208 73918572 75221552 77056224 77514892 79604616 81135093 83477576 84478368 85295867 86238334 87376254 88588448 90976704 95402944 98558096 98728287 99858576 100961952 101938963 104772876 106139488 108180124 112832328 113503949 116272338 116501672 122235022 125216364 128951232 129357501 131637716 132882672 133144768 135651061 139697168 143104416 147837144 150443104 154112448 155029784 159209232 162270186 166955152 168956736 170591734 172476668 174752508 177176896 183352533 189315217 197116192 197456574 199717152 201923904 203877926 209545752 212278976 216360248 225664656 227007898 232544676 233003344 244470044 250432728 255887601 258715002 263275432 265765344 271302122 279394336 286208832 295674288 300886208 305816889 310059568 318418464 324540372 333910304 340511847 341183468 344953336 349505016 351585403 366705066 378630434 394232384 394913148 399434304 406953183 407755852 419091504 427822577 432720496 451329312 454015796 465089352 466006688 488940088 500865456 511775202 517430004 526550864 531530688 542604244 558788672 567945651 591348576 597071069 611633778 620119136 636836928 649080744 667820608 681023694 682366936 689906672 699010032 703170806 733410132 757260868 789826296 794527643 813906366 815511704 838183008 855645154 865440992 902658624 908031592 930178704 932013376 977880176 1001730912 1023550404 1034860008 1053101728 1054756209 1085208488 1108846271 1135891302 1182697152 1194142138 1223267556 1240238272 1283467731 1298161488 1325206519 1362047388 1364733872 1379813344 1398020064 1406341612 1466820264 1514521736 1579652592 1589055286 1627812732 1631023408 1676366016 1711290308 1730881984 1791213207 1816063184 1860357408 1955760352 2003461824 2047100808 2069720016 2106203456 2109512418 2170416976 2217692542 2271782604 2383582929 2388284276 2446535112 2461097821 2566935462 2596322976 2650413038 2724094776 2729467744 2759626688 2796040128 2812683224 2933640528 3029043472 3159305184 3178110572 3255625464 3262046816 3326538813 3422580616 3582426414 3632126368 3720714816 3911520704 3975619557 4094201616 4139440032 4179497483 4219024836 4340833952 4435385084 4543565208 4767165858 4776568552 4893070224 4922195642 5133870924 5192645952 5300826076 5448189552 5458935488 5561693501 5625366448 5867281056 6058086944 6318610368 6356221144 6511250928 6524093632 6653077626 6845161232 7164852828 7264252736 7383293463 7761923897 7951239114 8188403232 8278880064 8358994966 8438049672 8681667904 8870770168 9087130416 9534331716 9553137104 9786140448 9844391284 10267741848 10601652152 10896379104 11123387002 11250732896 11734562112 12116173888 12538492449 12712442288 13022501856 13306155252 13690322464 14329705656 14415001523 14766586926 15523847794 15902478228 16376806464 16685080503 16717989932 16876099344 17227684747 17741540336 18174260832 19068663432 19106274208 19572280896 19688782568 20535483696 21203304304 21792758208 22246774004 22501465792 23285771691 25076984898 25424884576 26045003712 26612310504 27380644928 28659411312 28830003046 29533173852 31047695588 31804956456 33370161006 33435979864 33752198688 34455369494 35483080672 36348521664 38137326864 38212548416 39377565136 41070967392 42406608608 43245004569 44493548008 46571543382 50153969796 50849769152 51683054241 53224621008 54333467279 57318822624 57660006092 59066347704 62095391176 63609912912 66740322012 66871959728 67504397376 68910738988 70966161344 76274653728 78755130272 82141934784 84813217216 86490009138 88987096016 93143086764 100307939592 100905010661 103366108482 106449242016 108666934558 114637645248 115320012184 118132695408 124190782352 127219825824 133480644024 133743919456 137821477976 152549307456 157510260544 163000401837 172980018276 177974192032 186286173528 200615879184 201810021322 206732216964 212898484032 217333869116 230640024368 236265390816 248381564704 254439651648 266961288048 267487838912 275642955952 302715031983 326000803674 345960036552 355948384064 372572347056 401231758368 403620042644 413464433928 434667738232 461280048736 472530781632 496763129408 533922576096 551285911904 605430063966 652001607348 691920073104 706335074627 745144694112 802463516736 807240085288 826928867856 869335476464 922560097472 1067845152192 1102571823808 1210860127932 1304003214696 1383840146208 1412670149254 1490289388224 1614480170576 1653857735712 1738670952928 2119005223881 2421720255864 2608006429392 2767680292416 2825340298508 3228960341152 3307715471424 3477341905856 4238010447762 4843440511728 5216012858784 5650680597016 6457920682304 8476020895524 9686881023456 10432025717568 11301361194032 16952041791048 19373762046912 22602722388064 33904083582096 45205444776128 67808167164192 135616334328384
- Sum of all divisors σ(n): 466676400347136
- Sum of proper divisors (its aliquot sum) s(n): 331060066018752
- 135616334328384 is an abundant number, because the sum of its proper divisors (331060066018752) is greater than itself. Its abundance is 195443731690368
Bases of 135616334328384
- Binary: 111101101010111101000110110111011110010010000002
- Hexadecimal: 0x7B57A36EF240
- Base-36: 1C2LA7Y62O
Squares and roots of 135616334328384
- 135616334328384 squared (1356163343283842) is 18391790136668024556348051456
- 135616334328384 cubed (1356163343283843) is 2494227160071846077593491742417880833327104
-
The
square root of 135616334328384 is 11645442.6420116809 -
The
cube root of 135616334328384 is 51377.2278127239
Scales and comparisons
How big is 135616334328384?- 135,616,334,328,384 seconds is equal to 4,312,179 years, 49 weeks, 4 hours, 6 minutes, 24 seconds.
-
To count from 1 to 135,616,334,328,384 would take you about ten million, seven hundred eighty thousand, four hundred forty-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 135616334328384 cubic inches would be around 4281.4 feet tall.
Recreational maths with 135616334328384
- 135616334328384 backwards is 483823433616531
- The number of decimal digits it has is: 15
- The sum of 135616334328384's digits is 60
- More coming soon!
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The information we have on file for 135616334328384 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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