42082164535806400
42,082,164,535,806,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 42082164535806400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 756 divisors.
42082164535806400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred fifty-six divisors.
Prime factorization of 42082164535806400:
26 × 52 × 313 × 432 × 6912
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 31 × 31 × 31 × 43 × 43 × 691 × 691)See below for interesting mathematical facts about the number 42082164535806400 from the Numbermatics database.
Names of 42082164535806400
- Cardinal: 42082164535806400 can be written as Forty-two quadrillion, eighty-two trillion, one hundred sixty-four billion, five hundred thirty-five million, eight hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 4.20821645358064 × 1016
Factors of 42082164535806400
Divisors of 42082164535806400
- Number of divisors d(n): 756
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 31 32 40 43 50 62 64 80 86 100 124 155 160 172 200 215 248 310 320 344 400 430 496 620 688 691 775 800 860 961 992 1075 1240 1333 1376 1382 1550 1600 1720 1849 1922 1984 2150 2480 2666 2752 2764 3100 3440 3455 3698 3844 4300 4805 4960 5332 5528 6200 6665 6880 6910 7396 7688 8600 9245 9610 9920 10664 11056 12400 13330 13760 13820 14792 15376 17200 17275 18490 19220 21328 21421 22112 24025 24800 26660 27640 29584 29713 29791 30752 33325 34400 34550 36980 38440 41323 42656 42842 44224 46225 48050 49600 53320 55280 57319 59168 59426 59582 61504 66650 68800 69100 73960 76880 82646 85312 85684 92450 96100 106640 107105 110560 114638 118336 118852 119164 133300 138200 147920 148565 148955 153760 165292 171368 184900 192200 206615 213280 214210 221120 229276 237704 238328 266600 276400 286595 295840 297130 297910 307520 330584 342736 369800 384400 413230 426560 428420 458552 475408 476656 477481 533200 535525 552800 573190 591680 594260 595820 661168 664051 685472 739600 742825 744775 768800 826460 856840 917104 921103 950816 953312 954962 1033075 1066400 1071050 1105600 1146380 1188520 1191640 1277659 1281013 1322336 1328102 1370944 1432975 1479200 1485650 1489550 1537600 1652920 1713680 1776889 1834208 1842206 1901632 1906624 1909924 2066150 2132800 2142100 2292760 2377040 2383280 2387405 2555318 2562026 2644672 2656204 2865950 2958400 2971300 2979100 3305840 3320255 3427360 3553778 3668416 3684412 3819848 4132300 4284200 4585520 4605515 4754080 4766560 4774810 5110636 5124052 5312408 5731900 5942600 5958200 6388295 6405065 6611680 6640510 6854720 7107556 7368824 7639696 8264600 8568400 8884445 9171040 9211030 9508160 9533120 9549620 10221272 10248104 10624816 11463800 11885200 11916400 11937025 12776590 12810130 13223360 13281020 14215112 14737648 14801911 15279392 16529200 16601275 17136800 17768890 18342080 18422060 19099240 20442544 20496208 20531683 20585581 21249632 22927600 23027575 23770400 23832800 23874050 25553180 25620260 26562040 28430224 28554193 29475296 29603822 30558784 31941475 32025325 33058400 33202550 34273600 35537780 36844120 38198480 39607429 40885088 40992416 41063366 41171162 42499264 44422225 45855200 46055150 47540800 47665600 47748100 51106360 51240520 53124080 55083559 56860448 57108386 58950592 59207644 63882950 64050650 66116800 66405100 71075560 73688240 74009555 76396960 79214858 81770176 81984832 82126732 82342324 88844450 91710400 92110300 95496200 102212720 102481040 102658415 102927905 106248160 110167118 113720896 114216772 118415288 127765900 128101300 132810200 142151120 142770965 147376480 148019110 152793920 158429716 164253464 164684648 177688900 184220600 190992400 198037145 204425440 204962080 205316830 205855810 212496320 220334236 228433544 236830576 255531800 256202600 265620400 275417795 284302240 285541930 294752960 296038220 316859432 328506928 329369296 355377800 368441200 370047775 381984800 396074290 408850880 409924160 410633660 411711620 440668472 456867088 458859241 473661152 511063600 512405200 513292075 514639525 531240800 550835590 568604480 571083860 592076440 633718864 636482173 657013856 658738592 710755600 713854825 736882400 740095550 763969600 792148580 821267320 823423240 881336944 882862369 885179983 913734176 917718482 947322304 990185725 1022127200 1024810400 1026584150 1029279050 1062481600 1101671180 1142167720 1184152880 1227830299 1267437728 1272964346 1314027712 1317477184 1377088975 1421511200 1427709650 1473764800 1480191100 1584297160 1642534640 1646846480 1762673888 1765724738 1770359966 1827468352 1835436964 1980371450 2044254400 2049620800 2053168300 2058558100 2203342360 2284335440 2294296205 2368305760 2455660598 2534875456 2545928692 2754177950 2843022400 2855419300 2960382200 3168594320 3182410865 3285069280 3293692960 3525347776 3531449476 3540719932 3670873928 3960742900 4106336600 4117116200 4406684720 4414311845 4425899915 4568670880 4588592410 4736611520 4911321196 5091857384 5508355900 5710838600 5920764400 6139151495 6337188640 6364821730 6570138560 6587385920 7062898952 7081439864 7341747856 7921485800 8212673200 8234232400 8813369440 8828623690 8851799830 9137341760 9177184820 9822642392 10183714768 11016711800 11421677200 11471481025 11841528800 12278302990 12674377280 12729643460 14125797904 14162879728 14224636471 14683495712 15842971600 15912054325 16425346400 16468464800 17626738880 17657247380 17703599660 18354369640 19645284784 19730947363 20367429536 22033423600 22071559225 22129499575 22843354400 22942962050 23683057600 24556605980 25459286920 27368733439 28251595808 28325759456 28449272942 29366991424 30695757475 31685943200 31824108650 32850692800 32936929600 35314494760 35407199320 36708739280 38062739269 39290569568 39461894726 40734859072 44066847200 44143118450 44258999150 45686708800 45885924100 49113211960 50918573840 54737466878 56503191616 56651518912 56898545884 61391514950 63371886400 63648217300 70628989520 70814398640 71123182355 73417478560 76125478538 78581139136 78923789452 88133694400 88286236900 88517998300 91771848200 98226423920 98654736815 101837147680 109474933756 113797091768 122783029900 127296434600 136843667195 141257979040 141628797280 142246364710 146834957120 152250957076 157847578904 176572473800 177035996600 183543696400 190313696345 196452847840 197309473630 203674295360 218949867512 227594183536 245566059800 254592869200 273687334390 282515958080 283257594560 284492729420 304501914152 315695157808 353144947600 354071993200 355615911775 367087392800 380627392690 392905695680 394618947260 437899735024 455188367072 491132119600 493273684075 509185738400 547374668780 568985458840 609003828304 611659368253 631390315616 684218335975 706289895200 708143986400 711231823550 734174785600 761254785380 789237894520 848430736609 875799470048 910376734144 951568481725 982264239200 986547368150 1018371476800 1094749337560 1137970917680 1218007656608 1223318736506 1262780631232 1368436671950 1412579790400 1416287972800 1422463647100 1522509570760 1578475789040 1696861473218 1751598940096 1903136963450 1964528478400 1973094736300 2189498675120 2275941835360 2436015313216 2446637473012 2736873343900 2844927294200 3045019141520 3058296841265 3156951578080 3393722946436 3806273926900 3946189472600 4242153683045 4378997350240 4551883670720 4893274946024 5473746687800 5689854588400 6090038283040 6116593682530 6313903156160 6787445892872 7612547853800 7892378945200 8484307366090 8757994700480 9786549892048 10947493375600 11379709176800 12180076566080 12233187365060 13574891785744 15225095707600 15291484206325 15784757890400 16968614732180 19573099784096 21210768415225 21894986751200 22759418353600 24466374730120 26301352834879 27149783571488 30450191415200 30582968412650 31569515780800 33937229464360 39146199568192 42421536830450 43789973502400 48932749460240 52602705669758 54299567142976 60900382830400 61165936825300 67874458928720 84843073660900 97865498920480 105205411339516 122331873650600 131506764174395 135748917857440 169686147321800 195730997840960 210410822679032 244663747301200 263013528348790 271497835714880 339372294643600 420821645358064 489327494602400 526027056697580 657533820871975 678744589287200 841643290716128 978654989204800 1052054113395160 1315067641743950 1357489178574400 1683286581432256 2104108226790320 2630135283487900 4208216453580640 5260270566975800 8416432907161280 10520541133951600 21041082267903200 42082164535806400
- Sum of all divisors σ(n): 109704926091189312
- Sum of proper divisors (its aliquot sum) s(n): 67622761555382912
- 42082164535806400 is an abundant number, because the sum of its proper divisors (67622761555382912) is greater than itself. Its abundance is 25540597019576512
Bases of 42082164535806400
- Binary: 100101011000000110000001011101001000100101001001110000002
- Hexadecimal: 0x958181748949C0
- Base-36: BICVRI3BUF4
Squares and roots of 42082164535806400
- 42082164535806400 squared (420821645358064002) is 1770908572018681881187698280960000
- 42082164535806400 cubed (420821645358064003) is 74523665905560128690439905346285137647366144000000
-
The
square root of 42082164535806400 is 205139378.3158328673 -
The
cube root of 42082164535806400 is 347829.1883571191
Scales and comparisons
How big is 42082164535806400?- 42,082,164,535,806,400 seconds is equal to 1,338,082,663 years, 28 weeks, 6 days, 19 hours, 6 minutes, 40 seconds.
-
To count from 1 to 42,082,164,535,806,400 would take you about four billion, fourteen million, two hundred forty-seven thousand, nine hundred ninety 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 42082164535806400 cubic inches would be around 28985.8 feet tall.
Recreational maths with 42082164535806400
- 42082164535806400 backwards is 00460853546128024
- The number of decimal digits it has is: 17
- The sum of 42082164535806400's digits is 58
- More coming soon!
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The information we have on file for 42082164535806400 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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