42084531657768960
42,084,531,657,768,960 is an even composite number composed of four prime numbers multiplied together.
What does the number 42084531657768960 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 672 divisors.
42084531657768960 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 42084531657768960:
227 × 32 × 5 × 1913
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 191 × 191 × 191)See below for interesting mathematical facts about the number 42084531657768960 from the Numbermatics database.
Names of 42084531657768960
- Cardinal: 42084531657768960 can be written as Forty-two quadrillion, eighty-four trillion, five hundred thirty-one billion, six hundred fifty-seven million, seven hundred sixty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 4.208453165776896 × 1016
Factors of 42084531657768960
Divisors of 42084531657768960
- Number of divisors d(n): 672
-
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 64 72 80 90 96 120 128 144 160 180 191 192 240 256 288 320 360 382 384 480 512 573 576 640 720 764 768 955 960 1024 1146 1152 1280 1440 1528 1536 1719 1910 1920 2048 2292 2304 2560 2865 2880 3056 3072 3438 3820 3840 4096 4584 4608 5120 5730 5760 6112 6144 6876 7640 7680 8192 8595 9168 9216 10240 11460 11520 12224 12288 13752 15280 15360 16384 17190 18336 18432 20480 22920 23040 24448 24576 27504 30560 30720 32768 34380 36481 36672 36864 40960 45840 46080 48896 49152 55008 61120 61440 65536 68760 72962 73344 73728 81920 91680 92160 97792 98304 109443 110016 122240 122880 131072 137520 145924 146688 147456 163840 182405 183360 184320 195584 196608 218886 220032 244480 245760 262144 275040 291848 293376 294912 327680 328329 364810 366720 368640 391168 393216 437772 440064 488960 491520 524288 547215 550080 583696 586752 589824 655360 656658 729620 733440 737280 782336 786432 875544 880128 977920 983040 1048576 1094430 1100160 1167392 1173504 1179648 1310720 1313316 1459240 1466880 1474560 1564672 1572864 1641645 1751088 1760256 1955840 1966080 2097152 2188860 2200320 2334784 2347008 2359296 2621440 2626632 2918480 2933760 2949120 3129344 3145728 3283290 3502176 3520512 3911680 3932160 4194304 4377720 4400640 4669568 4694016 4718592 5242880 5253264 5836960 5867520 5898240 6258688 6291456 6566580 6967871 7004352 7041024 7823360 7864320 8388608 8755440 8801280 9339136 9388032 9437184 10485760 10506528 11673920 11735040 11796480 12517376 12582912 13133160 13935742 14008704 14082048 15646720 15728640 16777216 17510880 17602560 18678272 18776064 18874368 20903613 20971520 21013056 23347840 23470080 23592960 25034752 25165824 26266320 27871484 28017408 28164096 31293440 31457280 33554432 34839355 35021760 35205120 37356544 37552128 37748736 41807226 41943040 42026112 46695680 46940160 47185920 50069504 50331648 52532640 55742968 56034816 56328192 62586880 62710839 62914560 67108864 69678710 70043520 70410240 74713088 75104256 75497472 83614452 83886080 84052224 93391360 93880320 94371840 100139008 100663296 104518065 105065280 111485936 112069632 112656384 125173760 125421678 125829120 134217728 139357420 140087040 140820480 149426176 150208512 150994944 167228904 167772160 168104448 186782720 187760640 188743680 200278016 201326592 209036130 210130560 222971872 224139264 225312768 250347520 250843356 251658240 278714840 280174080 281640960 298852352 300417024 301989888 313554195 334457808 335544320 336208896 373565440 375521280 377487360 400556032 402653184 418072260 420261120 445943744 448278528 450625536 500695040 501686712 503316480 557429680 560348160 563281920 597704704 600834048 603979776 627108390 668915616 671088640 672417792 747130880 751042560 754974720 801112064 836144520 840522240 891887488 896557056 901251072 1001390080 1003373424 1006632960 1114859360 1120696320 1126563840 1195409408 1201668096 1207959552 1254216780 1337831232 1344835584 1494261760 1502085120 1509949440 1602224128 1672289040 1681044480 1783774976 1793114112 1802502144 2002780160 2006746848 2013265920 2229718720 2241392640 2253127680 2390818816 2403336192 2508433560 2675662464 2689671168 2988523520 3004170240 3019898880 3204448256 3344578080 3362088960 3567549952 3586228224 3605004288 4005560320 4013493696 4459437440 4482785280 4506255360 4781637632 4806672384 5016867120 5351324928 5379342336 5977047040 6008340480 6039797760 6408896512 6689156160 6724177920 7135099904 7172456448 7210008576 8011120640 8026987392 8918874880 8965570560 9012510720 9563275264 9613344768 10033734240 10702649856 10758684672 11954094080 12016680960 12817793024 13378312320 13448355840 14270199808 14344912896 14420017152 16022241280 16053974784 17837749760 17931141120 18025021440 19126550528 19226689536 20067468480 21405299712 21517369344 23908188160 24033361920 25635586048 26756624640 26896711680 28540399616 28689825792 28840034304 32044482560 32107949568 35675499520 35862282240 36050042880 38253101056 38453379072 40134936960 42810599424 43034738688 47816376320 48066723840 53513249280 53793423360 57080799232 57379651584 57680068608 64088965120 64215899136 71350999040 71724564480 72100085760 76506202112 76906758144 80269873920 85621198848 86069477376 95632752640 96133447680 107026498560 107586846720 114161598464 114759303168 115360137216 128177930240 128431798272 142701998080 143449128960 144200171520 153012404224 160539747840 171242397696 172138954752 191265505280 192266895360 214052997120 215173693440 228323196928 229518606336 230720274432 256863596544 285403996160 286898257920 288400343040 306024808448 321079495680 342484795392 344277909504 382531010560 384533790720 428105994240 430347386880 456646393856 459037212672 513727193088 570807992320 573796515840 576800686080 612049616896 642158991360 684969590784 688555819008 765062021120 856211988480 860694773760 913292787712 918074425344 1027454386176 1141615984640 1147593031680 1153601372160 1224099233792 1284317982720 1369939181568 1377111638016 1530124042240 1712423976960 1721389547520 1826585575424 1836148850688 2054908772352 2283231969280 2295186063360 2448198467584 2568635965440 2739878363136 2754223276032 3060248084480 3424847953920 3442779095040 3653171150848 3672297701376 4109817544704 4566463938560 4590372126720 4896396935168 5137271930880 5479756726272 5508446552064 6120496168960 6849695907840 6885558190080 7306342301696 7344595402752 8219635089408 9132927877120 9180744253440 10274543861760 10959513452544 11016893104128 12240992337920 13699391815680 13771116380160 14612684603392 14689190805504 16439270178816 18265855754240 18361488506880 20549087723520 21919026905088 22033786208256 24481984675840 27398783631360 27542232760320 29225369206784 32878540357632 36531711508480 36722977013760 41098175447040 43838053810176 44067572416512 54797567262720 55084465520640 58450738413568 65757080715264 73063423016960 73445954027520 82196350894080 87676107620352 109595134525440 110168931041280 116901476827136 131514161430528 146126846033920 164392701788160 175352215240704 219190269050880 220337862082560 233802953654272 263028322861056 292253692067840 328785403576320 350704430481408 438380538101760 467605907308544 526056645722112 584507384135680 657570807152640 701408860962816 876761076203520 935211814617088 1052113291444224 1169014768271360 1315141614305280 1402817721925632 1753522152407040 2104226582888448 2338029536542720 2630283228610560 2805635443851264 3507044304814080 4208453165776896 4676059073085440 5260566457221120 7014088609628160 8416906331553792 10521132914442240 14028177219256320 21042265828884480 42084531657768960
- Sum of all divisors σ(n): 146660900545186560
- Sum of proper divisors (its aliquot sum) s(n): 104576368887417600
- 42084531657768960 is an abundant number, because the sum of its proper divisors (104576368887417600) is greater than itself. Its abundance is 62491837229648640
Bases of 42084531657768960
- Binary: 100101011000001110101000100110000000000000000000000000002
- Hexadecimal: 0x9583A898000000
- Base-36: BIDPYXYMM80
Squares and roots of 42084531657768960
- 42084531657768960 squared (420845316577689602) is 1771107804853757808575524739481600
- 42084531657768960 cubed (420845316577689603) is 74536242482689659808027962578582308472682971136000
-
The
square root of 42084531657768960 is 205145147.7802216017 -
The
cube root of 42084531657768960 is 347835.7100326923
Scales and comparisons
How big is 42084531657768960?- 42,084,531,657,768,960 seconds is equal to 1,338,157,930 years, 37 weeks, 17 hours, 36 minutes.
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To count from 1 to 42,084,531,657,768,960 would take you about four billion, fourteen million, four hundred seventy-three thousand, seven hundred ninety-two 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 42084531657768960 cubic inches would be around 28986.3 feet tall.
Recreational maths with 42084531657768960
- 42084531657768960 backwards is 06986775613548024
- The number of decimal digits it has is: 17
- The sum of 42084531657768960's digits is 81
- More coming soon!
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The information we have on file for 42084531657768960 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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