382688421513216
382,688,421,513,216 is an even composite number composed of seven prime numbers multiplied together.
382688421513216 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 382688421513216:
211 × 3 × 73 × 132 × 37 × 113 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 13 × 13 × 37 × 113 × 257)See below for interesting mathematical facts about the number 382688421513216 from the Numbermatics database.
Names of 382688421513216
- Cardinal: 382688421513216 can be written as Three hundred eighty-two trillion, six hundred eighty-eight billion, four hundred twenty-one million, five hundred thirteen thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 3.82688421513216 × 1014
Factors of 382688421513216
Divisors of 382688421513216
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 37 39 42 48 49 52 56 64 74 78 84 91 96 98 104 111 112 113 128 147 148 156 168 169 182 192 196 208 222 224 226 256 257 259 273 294 296 312 336 338 339 343 364 384 392 416 444 448 452 481 507 512 514 518 546 588 592 624 637 672 676 678 686 728 768 771 777 784 791 832 888 896 904 962 1014 1024 1028 1029 1036 1092 1176 1183 1184 1248 1274 1344 1352 1356 1372 1443 1456 1469 1536 1542 1554 1568 1582 1664 1776 1792 1799 1808 1813 1911 1924 2028 2048 2056 2058 2072 2184 2352 2366 2368 2373 2496 2548 2688 2704 2712 2744 2886 2912 2938 3072 3084 3108 3136 3164 3328 3341 3367 3549 3552 3584 3598 3616 3626 3822 3848 4056 4112 4116 4144 4181 4368 4407 4459 4704 4732 4736 4746 4992 5096 5376 5397 5408 5424 5439 5488 5537 5772 5824 5876 6144 6168 6216 6253 6272 6328 6656 6682 6734 7098 7104 7168 7196 7232 7252 7644 7696 8112 8224 8232 8281 8288 8362 8736 8814 8918 9408 9464 9472 9492 9509 9984 10023 10101 10192 10283 10752 10794 10816 10848 10878 10976 11074 11544 11648 11752 12336 12432 12506 12543 12544 12593 12656 12691 13312 13364 13377 13468 14196 14208 14336 14392 14464 14504 15288 15392 16224 16448 16464 16562 16576 16611 16724 17472 17628 17836 18759 18816 18928 18944 18984 19018 19097 19968 20046 20202 20384 20566 21504 21588 21632 21696 21756 21952 22148 23088 23296 23387 23504 23569 24672 24843 24864 25012 25086 25088 25186 25312 25382 26624 26728 26754 26936 28392 28416 28527 28784 28928 29008 29041 29267 30576 30784 30849 32448 32896 32928 33124 33152 33222 33448 34944 35256 35672 37518 37632 37779 37856 37888 37968 38036 38073 38194 38759 39936 40092 40404 40768 41132 43008 43176 43264 43392 43433 43512 43771 43904 44296 46176 46592 46774 47008 47138 49344 49686 49728 50024 50172 50176 50372 50624 50764 53456 53508 53872 54353 56784 56832 57054 57291 57568 57856 57967 58016 58082 58534 61152 61568 61698 64896 65792 65856 66248 66304 66444 66563 66896 69888 70161 70512 70707 71344 71981 75036 75264 75558 75712 75776 75936 76072 76146 76388 77518 79872 80184 80808 81536 82264 86352 86528 86784 86866 87024 87123 87542 87801 87808 88151 88592 92352 93184 93548 94016 94276 98688 99372 99456 100048 100344 100352 100744 101248 101528 106912 107016 107744 108706 113568 113664 114108 114582 115136 115712 115934 116032 116164 116277 117068 122304 123136 123396 123617 129792 130299 131313 131584 131712 132496 132608 132888 133126 133679 133792 139776 140322 141024 141414 142688 143962 150072 150528 151116 151424 151872 152144 152292 152776 155036 160368 161616 163059 163072 163709 164528 164983 172704 173056 173568 173732 173901 174048 174246 175084 175602 175616 176302 177184 184704 186368 187096 188032 188552 197376 198744 198912 199689 200096 200688 201488 202496 203056 203287 204869 213824 214032 215488 215943 217412 227136 227328 228216 229164 230272 231424 231868 232064 232328 232554 234136 244608 246272 246792 247234 259584 260598 262626 263168 263424 264453 264992 265216 265776 266252 267358 267584 279552 280644 282048 282828 285376 287924 300144 301056 302232 302848 303744 304031 304288 304584 305552 306397 310072 320736 323232 326118 326144 327418 329056 329966 345408 346112 347136 347464 347802 348096 348492 350168 351204 351232 352604 354368 369408 370851 374192 376064 377104 377533 380471 394752 397488 397824 399378 400192 401037 401376 402976 404992 406112 406574 409738 427648 428064 430976 431886 434824 454272 456432 458328 460544 463736 464128 464656 465108 465941 468272 489216 491127 492544 493584 494468 494949 503867 519168 521196 525252 526336 526848 528906 529984 530432 531552 532504 534716 535168 559104 561288 564096 565656 570752 575848 600288 604464 605696 607488 608062 608576 609168 609861 611104 612794 614607 620144 641472 646464 652236 652288 654836 658112 659932 690816 694272 694928 695604 696192 696984 700336 702408 702464 705208 706589 708736 738816 741702 748384 752128 754208 755066 760942 789504 794976 795648 798756 800384 802074 802752 805952 809984 812224 813148 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1564496752 1634470656 1645589504 1647190272 1649064144 1650458112 1653624609 1661897328 1669932544 1676869376 1683419647 1684842656 1760199168 1772173312 1775915232 1787996288 1789735584 1867966464 1882503168 1884644736 1889856696 1899311232 1906882432 1912524096 1916422144 1923908168 1925534464 1938880216 2029617408 2035230288 2045412096 2053401987 2071901104 2159836224 2170641408 2179120476 2179294208 2185741824 2196253696 2198752192 2200610816 2202751488 2204832812 2211355986 2215863104 2319562752 2325977472 2337613824 2346745128 2346932224 2367886976 2386314112 2468384256 2504898816 2512859648 2515304064 2519808928 2527263984 2532414976 2542307222 2550032128 2658259968 2681994432 2706156544 2713640384 2727216128 2737869316 2860323648 2862741504 2874633216 2879781632 2885862252 2888301696 2905493968 2908320324 2914322432 2937001984 2948474648 3095758848 3101303296 3107851656 3128993504 3268941312 3291179008 3294380544 3298128288 3300916224 3307249218 3323794656 3339865088 3353738752 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21902954528 22882589184 23038253056 23086898016 23106413568 23243951744 23266562592 23587797184 24862813248 25031948032 26385026304 26457993744 26590357248 26694225831 26934714352 26957482496 28414643712 28607940608 28635769344 28747627818 30154315776 30237707136 30388979712 30507686664 30510118912 30600385536 30782530688 31022083456 32563684608 32854431792 33150417664 34557379584 34865927616 35180035072 35277324992 35381695776 35453809664 35592301108 37215639552 37547922048 37886191616 38181025792 38330170424 40244865024 40316942848 40402071528 40436223744 40676915552 42911910912 43418246144 43805909056 45765178368 46173796032 46212827136 46487903488 46533125184 47175594368 49725626496 50063896064 52770052608 52915987488 53180714496 53388451662 53869428704 53914964992 56829287424 57271538688 57495255636 60475414272 61015373328 61200771072 61565061376 62044166912 62286526939 65127369216 65708863584 66300835328 69114759168 69731855232 70360070144 70554649984 70763391552 70907619328 71184602216 75095844096 76660340848 80633885696 80804143056 80872447488 81353831104 85823821824 86836492288 87611818112 91530356736 92347592064 92975806976 93066250368 94351188736 99451252992 100127792128 105540105216 105831974976 106361428992 106776903324 107738857408 107829929984 113658574848 114543077376 114990511272 120950828544 122030746656 123130122752 124088333824 124573053878 130254738432 131417727168 132601670656 139463710464 141109299968 141526783104 142369204432 150191688192 153320681696 161267771392 161608286112 161744894976 162707662208 175223636224 184695184128 185951613952 186132500736 186859580817 188702377472 198902505984 200255584256 211080210432 211663949952 212722857984 213553806648 215477714816 229981022544 241901657088 244061493312 246260245504 248176667648 249146107756 260509476864 262835454336 265203341312 278927420928 282218599936 283053566208 284738408864 300383376384 306641363392 323216572224 323489789952 325415324416 350447272448 369390368256 371903227904 372265001472 373719161634 377404754944 397805011968 423327899904 427107613296 430955429632 459962045088 483803314176 488122986624 492520491008 496353335296 498292215512 525670908672 557854841856 564437199872 566107132416 569476817728 600766752768 613282726784 646433144448 650830648832 700894544896 738780736512 744530002944 747438323268 754809509888 795610023936 846655799808 854215226592 861910859264 919924090176 976245973248 996584431024 1051341817344 1115709683712 1128874399744 1132214264832 1138953635456 1226565453568 1292866288896 1301661297664 1401789089792 1477561473024 1489060005888 1494876646536 1693311599616 1708430453184 1723821718528 1839848180352 1952491946496 1993168862048 2102683634688 2264428529664 2277907270912 2453130907136 2585732577792 2603322595328 2989753293072 3386623199232 3416860906368 3447643437056 3679696360704 3904983892992 3986337724096 4205367269376 4555814541824 4906261814272 5171465155584 5979506586144 6833721812736 7359392721408 7809967785984 7972675448192 9111629083648 9812523628544 10342930311168 11959013172288 13667443625472 14718785442816 15945350896384 18223258167296 23918026344576 27334887250944 29437570885632 31890701792768 47836052689152 54669774501888 63781403585536 95672105378304 127562807171072 191344210756608 382688421513216
- Sum of all divisors σ(n): 1340087426496000
- Sum of proper divisors (its aliquot sum) s(n): 957399004982784
- 382688421513216 is an abundant number, because the sum of its proper divisors (957399004982784) is greater than itself. Its abundance is 574710583469568
Bases of 382688421513216
- Binary: 10101110000001101100101110110110010001000000000002
- Hexadecimal: 0x15C0D976C8800
- Base-36: 3RNGMTG2YO
Squares and roots of 382688421513216
- 382688421513216 squared (3826884215132162) is 146450427960276882607262662656
- 382688421513216 cubed (3826884215132163) is 56044883106053313763837172088249220853661696
-
The
square root of 382688421513216 is 19562423.7126491051 -
The
cube root of 382688421513216 is 72601.9759745473
Scales and comparisons
How big is 382688421513216?- 382,688,421,513,216 seconds is equal to 12,168,308 years, 3 weeks, 4 days, 21 hours, 13 minutes, 36 seconds.
-
To count from 1 to 382,688,421,513,216 would take you about thirty million, four hundred twenty thousand, seven hundred seventy 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 382688421513216 cubic inches would be around 6050.2 feet tall.
Recreational maths with 382688421513216
- 382688421513216 backwards is 612315124886283
- The number of decimal digits it has is: 15
- The sum of 382688421513216's digits is 60
- More coming soon!
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The information we have on file for 382688421513216 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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