42075677228032000
42,075,677,228,032,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 42075677228032000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2688 divisors.
42075677228032000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 42075677228032000:
213 × 53 × 72 × 233 × 413
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 23 × 23 × 23 × 41 × 41 × 41)See below for interesting mathematical facts about the number 42075677228032000 from the Numbermatics database.
Names of 42075677228032000
- Cardinal: 42075677228032000 can be written as Forty-two quadrillion, seventy-five trillion, six hundred seventy-seven billion, two hundred twenty-eight million, thirty-two thousand.
Scientific notation
- Scientific notation: 4.2075677228032 × 1016
Factors of 42075677228032000
Divisors of 42075677228032000
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 23 25 28 32 35 40 41 46 49 50 56 64 70 80 82 92 98 100 112 115 125 128 140 160 161 164 175 184 196 200 205 224 230 245 250 256 280 287 320 322 328 350 368 392 400 410 448 460 490 500 512 529 560 574 575 640 644 656 700 736 784 800 805 820 875 896 920 943 980 1000 1024 1025 1058 1120 1127 1148 1150 1225 1280 1288 1312 1400 1435 1472 1568 1600 1610 1640 1681 1750 1792 1840 1886 1960 2000 2009 2048 2050 2116 2240 2254 2296 2300 2450 2560 2576 2624 2645 2800 2870 2875 2944 3136 3200 3220 3280 3362 3500 3584 3680 3703 3772 3920 4000 4018 4025 4096 4100 4232 4480 4508 4592 4600 4715 4900 5120 5125 5152 5248 5290 5600 5635 5740 5750 5888 6125 6272 6400 6440 6560 6601 6724 7000 7168 7175 7360 7406 7544 7840 8000 8036 8050 8192 8200 8405 8464 8960 9016 9184 9200 9430 9800 10045 10240 10250 10304 10496 10580 11200 11270 11480 11500 11767 11776 12167 12250 12544 12800 12880 13120 13202 13225 13448 14000 14336 14350 14720 14812 15088 15680 16000 16072 16100 16400 16810 16928 17920 18032 18368 18400 18515 18860 19600 20090 20125 20480 20500 20608 20992 21160 21689 22400 22540 22960 23000 23534 23552 23575 24334 24500 25088 25600 25760 25921 26240 26404 26450 26896 28000 28175 28672 28700 29440 29624 30176 31360 32000 32144 32200 32800 33005 33620 33856 35840 35875 36064 36736 36800 37030 37720 38663 39200 40180 40250 40960 41000 41216 41984 42025 42320 43378 44800 45080 45920 46000 46207 47068 47104 47150 48668 49000 50176 50225 51200 51520 51842 52480 52808 52900 53792 56000 56350 57344 57400 58835 58880 59248 60352 60835 62720 64000 64288 64400 65600 66010 66125 67240 67712 68921 71680 71750 72128 73472 73600 74060 75440 77326 78400 80360 80500 82000 82369 82432 83968 84050 84640 85169 86756 89600 90160 91840 92000 92414 92575 94136 94208 94300 97336 98000 100352 100450 102400 103040 103684 104960 105616 105800 107584 108445 112000 112700 114800 117670 117760 117875 118496 120704 121670 125440 128000 128576 128800 129605 131200 132020 132250 134480 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310695868000 312876838400 318152568832 318706841600 320698759360 324645478400 326674512640 327243632000 328716228344 335424722800 345818009600 348585608000 355080992000 356951662592 357300248200 357573529600 366512867840 373342300160 375675689536 387990937600 391096048000 397690711040 398383552000 400873449200 405806848000 408343140800 410895285430 418871848960 419280903500 429343645184 432272512000 446189578240 446625310250 446966912000 454503669760 455295488000 457344317696 458141084800 466677875200 469594611920 484988672000 494025728000 497113388800 500602941440 501091811500 510428926000 510819328000 513118014976 522679220224 523589811200 536679556480 544133632000 557736972800 568129587200 571680397120 572676356000 583347344000 586420588544 586993264900 610491392000 621391736000 625753676800 636305137664 637413683200 641397518720 653349025280 654487264000 657432456688 670849445600 691636019200 697171216000 710161984000 714600496400 715147059200 733025735680 733741581125 746684600320 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32871622834400 34347491614720 36587545415680 36651286784000 37334230016000 37567568953600 39769071104000 41049441198080 41089528543000 42075677228032 42934364518400 44618957824000 45734431769600 46959461192000 48086488260608 51311801497600 52267922022400 52594596535040 53667955648000 57168039712000 60108110325760 64139751872000 65334902528000 65743245668800 73175090831360 73302573568000 75135137907200 79538142208000 82179057086000 84151354456064 85868729036800 91468863539200 93918922384000 102623602995200 105189193070080 107335911296000 114336079424000 120216220651520 128279503744000 130669805056000 131486491337600 146605147136000 150270275814400 164358114172000 168302708912128 171737458073600 182937727078400 187837844768000 205247205990400 210378386140160 214671822592000 228672158848000 240432441303040 256559007488000 261339610112000 262972982675200 300540551628800 328716228344000 336605417824256 365875454156800 375675689536000 420756772280320 429343645184000 457344317696000 513118014976000 525945965350400 601081103257600 657432456688000 751351379072000 841513544560640 858687290368000 914688635392000 1026236029952000 1051891930700800 1202162206515200 1314864913376000 1502702758144000 1683027089121280 1829377270784000 2103783861401600 2629729826752000 3005405516288000 4207567722803200 5259459653504000 6010811032576000 8415135445606400 10518919307008000 21037838614016000 42075677228032000
- Sum of all divisors σ(n): 130904711671668480
- Sum of proper divisors (its aliquot sum) s(n): 88829034443636480
- 42075677228032000 is an abundant number, because the sum of its proper divisors (88829034443636480) is greater than itself. Its abundance is 46753357215604480
Bases of 42075677228032000
- Binary: 100101010111101110011011000000101101110001100000000000002
- Hexadecimal: 0x957B9B02DC6000
- Base-36: BIAKZ9VRZLS
Squares and roots of 42075677228032000
- 42075677228032000 squared (420756772280320002) is 1770362614197530607326593024000000
- 42075677228032000 cubed (420756772280320003) is 74489205931550239672178861038174908448768000000000
-
The
square root of 42075677228032000 is 205123565.7549663405 -
The
cube root of 42075677228032000 is 347811.3138728893
Scales and comparisons
How big is 42075677228032000?- 42,075,677,228,032,000 seconds is equal to 1,337,876,387 years, 12 weeks, 2 days, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 42,075,677,228,032,000 would take you about four billion, thirteen million, six hundred twenty-nine thousand, one hundred sixty-one 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 42075677228032000 cubic inches would be around 28984.3 feet tall.
Recreational maths with 42075677228032000
- 42075677228032000 backwards is 00023082277657024
- The number of decimal digits it has is: 17
- The sum of 42075677228032000's digits is 55
- More coming soon!
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"Number 42075677228032000 - Facts about the integer". Numbermatics.com. 2024. Web. 29 April 2024.
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Numbermatics. (2024). Number 42075677228032000 - Facts about the integer. Retrieved 29 April 2024, from https://numbermatics.com/n/42075677228032000/
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The information we have on file for 42075677228032000 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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