42742616064000
42,742,616,064,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 42742616064000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1024 divisors.
42742616064000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 42742616064000:
215 × 3 × 53 × 61 × 127 × 449
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 61 × 127 × 449)See below for interesting mathematical facts about the number 42742616064000 from the Numbermatics database.
Names of 42742616064000
- Cardinal: 42742616064000 can be written as Forty-two trillion, seven hundred forty-two billion, six hundred sixteen million, sixty-four thousand.
Scientific notation
- Scientific notation: 4.2742616064 × 1013
Factors of 42742616064000
Divisors of 42742616064000
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 61 64 75 80 96 100 120 122 125 127 128 150 160 183 192 200 240 244 250 254 256 300 305 320 366 375 381 384 400 449 480 488 500 508 512 600 610 635 640 732 750 762 768 800 898 915 960 976 1000 1016 1024 1200 1220 1270 1280 1347 1464 1500 1524 1525 1536 1600 1796 1830 1905 1920 1952 2000 2032 2048 2245 2400 2440 2540 2560 2694 2928 3000 3048 3050 3072 3175 3200 3592 3660 3810 3840 3904 4000 4064 4096 4490 4575 4800 4880 5080 5120 5388 5856 6000 6096 6100 6144 6350 6400 6735 7184 7320 7620 7625 7680 7747 7808 8000 8128 8192 8980 9150 9525 9600 9760 10160 10240 10776 11225 11712 12000 12192 12200 12288 12700 12800 13470 14368 14640 15240 15250 15360 15494 15616 15875 16000 16256 16384 17960 18300 19050 19200 19520 20320 20480 21552 22450 22875 23241 23424 24000 24384 24400 24576 25400 25600 26940 27389 28736 29280 30480 30500 30720 30988 31232 31750 32000 32512 32768 33675 35920 36600 38100 38400 38735 39040 40640 40960 43104 44900 45750 46482 46848 47625 48000 48768 48800 49152 50800 51200 53880 54778 56125 57023 57472 58560 60960 61000 61440 61976 62464 63500 64000 65024 67350 71840 73200 76200 76800 77470 78080 81280 81920 82167 86208 89800 91500 92964 93696 95250 96000 97536 97600 98304 101600 102400 107760 109556 112250 114046 114944 116205 117120 121920 122000 122880 123952 124928 127000 128000 130048 134700 136945 143680 146400 152400 153600 154940 156160 162560 163840 164334 168375 171069 172416 179600 183000 185928 187392 190500 192000 193675 195072 195200 203200 204800 215520 219112 224500 228092 229888 232410 234240 243840 244000 245760 247904 249856 254000 256000 260096 269400 273890 285115 287360 292800 304800 307200 309880 312320 325120 328668 336750 342138 344832 359200 366000 371856 374784 381000 384000 387350 390144 390400 406400 409600 410835 431040 438224 449000 456184 459776 464820 468480 487680 488000 491520 495808 499712 508000 512000 520192 538800 547780 570230 574720 581025 585600 609600 614400 619760 624640 650240 657336 673500 684276 684725 689664 718400 732000 743712 749568 762000 768000 774700 780288 780800 812800 819200 821670 855345 862080 876448 898000 912368 919552 929640 936960 968375 975360 976000 991616 999424 1016000 1024000 1040384 1077600 1095560 1140460 1149440 1162050 1171200 1219200 1228800 1239520 1249280 1300480 1314672 1347000 1368552 1369450 1379328 1425575 1436800 1464000 1487424 1499136 1524000 1536000 1549400 1560576 1561600 1625600 1643340 1710690 1724160 1752896 1796000 1824736 1839104 1859280 1873920 1936750 1950720 1952000 1983232 1998848 2032000 2048000 2054175 2080768 2155200 2191120 2280920 2298880 2324100 2342400 2438400 2457600 2479040 2498560 2600960 2629344 2694000 2737104 2738900 2758656 2851150 2873600 2905125 2928000 2974848 2998272 3048000 3072000 3098800 3121152 3123200 3251200 3286680 3421380 3423625 3448320 3478403 3505792 3592000 3649472 3678208 3718560 3747840 3873500 3901440 3904000 3966464 4064000 4096000 4108350 4161536 4276725 4310400 4382240 4561840 4597760 4648200 4684800 4876800 4958080 4997120 5201920 5258688 5388000 5474208 5477800 5517312 5702300 5747200 5810250 5856000 5949696 5996544 6096000 6144000 6197600 6242304 6246400 6502400 6573360 6842760 6847250 6896640 6956806 7011584 7127875 7184000 7298944 7356416 7437120 7495680 7747000 7802880 7808000 7932928 8128000 8216700 8553450 8620800 8764480 9123680 9195520 9296400 9369600 9753600 9916160 9994240 10270875 10403840 10435209 10517376 10776000 10948416 10955600 11034624 11404600 11494400 11620500 11712000 11899392 12192000 12288000 12395200 12484608 12492800 13004800 13146720 13685520 13694500 13793280 13913612 14023168 14255750 14368000 14597888 14712832 14874240 14991360 15494000 15605760 15616000 15865856 16256000 16433400 17106900 17241600 17392015 17528960 18247360 18391040 18592800 18739200 19507200 19832320 20541750 20807680 20870418 21034752 21383625 21552000 21896832 21911200 22069248 22809200 22988800 23241000 23424000 23798784 24384000 24790400 24985600 26009600 26293440 27371040 27389000 27586560 27827224 28046336 28511500 28736000 29195776 29748480 29982720 30988000 31211520 31232000 31731712 32512000 32866800 34213800 34483200 34784030 35057920 36494720 36782080 37185600 37478400 39014400 39664640 41083500 41740836 42069504 42767250 43104000 43793664 43822400 44138496 45618400 45977600 46482000 46848000 47597568 48768000 49580800 49971200 52019200 52176045 52586880 54742080 54778000 55173120 55654448 56092672 57023000 57472000 58391552 59496960 61976000 62423040 62464000 63463424 65024000 65733600 68427600 68966400 69568060 70115840 72989440 73564160 74371200 74956800 78028800 79329280 82167000 83481672 84139008 85534500 86208000 86960075 87587328 87644800 91236800 91955200 92964000 93696000 95195136 97536000 99161600 104038400 104352090 105173760 109484160 109556000 110346240 111308896 112185344 114046000 114944000 116783104 118993920 123952000 124928000 126926848 130048000 131467200 136855200 137932800 139136120 140231680 145978880 148742400 149913600 156057600 158658560 164334000 166963344 168278016 171069000 172416000 173920150 175174656 175289600 182473600 183910400 185928000 187392000 190390272 195072000 198323200 208704180 210347520 218968320 219112000 220692480 222617792 224370688 228092000 229888000 233566208 237987840 247904000 249856000 253853696 260096000 260880225 262934400 273710400 275865600 278272240 280463360 291957760 297484800 312115200 317317120 328668000 333926688 336556032 342138000 344832000 347840300 350349312 350579200 364947200 367820800 371856000 374784000 380780544 390144000 396646400 417408360 420695040 434800375 437936640 438224000 445235584 448741376 456184000 459776000 467132416 475975680 495808000 520192000 521760450 525868800 547420800 551731200 556544480 560926720 583915520 594969600 634634240 657336000 667853376 673112064 684276000 689664000 695680600 700698624 701158400 729894400 743712000 749568000 761561088 780288000 793292800 834816720 841390080 869600750 875873280 876448000 890471168 897482752 912368000 919552000 934264832 951951360 991616000 1043520900 1051737600 1094841600 1103462400 1113088960 1121853440 1167831040 1189939200 1269268480 1304401125 1314672000 1335706752 1346224128 1368552000 1379328000 1391361200 1401397248 1402316800 1459788800 1487424000 1560576000 1586585600 1669633440 1682780160 1739201500 1751746560 1752896000 1780942336 1824736000 1839104000 1868529664 1903902720 1983232000 2087041800 2103475200 2189683200 2226177920 2243706880 2335662080 2379878400 2608802250 2629344000 2671413504 2692448256 2737104000 2758656000 2782722400 2802794496 2804633600 2919577600 2974848000 3173171200 3339266880 3365560320 3478403000 3503493120 3505792000 3561884672 3649472000 3807805440 3966464000 4174083600 4206950400 4379366400 4452355840 4487413760 4671324160 4759756800 5217604500 5258688000 5342827008 5474208000 5517312000 5565444800 5605588992 5609267200 5839155200 5949696000 6346342400 6678533760 6731120640 6956806000 7006986240 7011584000 7123769344 7298944000 7932928000 8348167200 8413900800 8758732800 8904711680 9342648320 9519513600 10435209000 10517376000 10685654016 10948416000 11130889600 11218534400 11678310400 11899392000 13357067520 13462241280 13913612000 14013972480 14023168000 14247538688 14597888000 15865856000 16696334400 16827801600 17517465600 17809423360 19039027200 20870418000 21034752000 21371308032 21896832000 22261779200 22437068800 23356620800 23798784000 26714135040 27827224000 28027944960 28046336000 28495077376 29195776000 31731712000 33392668800 33655603200 35034931200 35618846720 41740836000 42069504000 42742616064 43793664000 44523558400 46713241600 47597568000 53428270080 55654448000 56092672000 56990154752 58391552000 66785337600 67311206400 70069862400 71237693440 83481672000 84139008000 85485232128 87587328000 89047116800 95195136000 106856540160 111308896000 112185344000 113980309504 116783104000 133570675200 140139724800 142475386880 166963344000 168278016000 170970464256 175174656000 178094233600 213713080320 222617792000 233566208000 267141350400 284950773760 333926688000 336556032000 341940928512 350349312000 356188467200 427426160640 445235584000 534282700800 569901547520 667853376000 700698624000 712376934400 854852321280 890471168000 1068565401600 1335706752000 1424753868800 1709704642560 1780942336000 2137130803200 2671413504000 2849507737600 3561884672000 4274261606400 5342827008000 7123769344000 8548523212800 10685654016000 14247538688000 21371308032000 42742616064000
- Sum of all divisors σ(n): 146040081408000
- Sum of proper divisors (its aliquot sum) s(n): 103297465344000
- 42742616064000 is an abundant number, because the sum of its proper divisors (103297465344000) is greater than itself. Its abundance is 60554849280000
Bases of 42742616064000
- Binary: 10011011011111110010100111001010000000000000002
- Hexadecimal: 0x26DFCA728000
- Base-36: F5FOQ0TMO
Squares and roots of 42742616064000
- 42742616064000 squared (427426160640002) is 1826931227994510852096000000
- 42742616064000 cubed (427426160640003) is 78087820053501426050620817670144000000000
-
The
square root of 42742616064000 is 6537783.7272274463 -
The
cube root of 42742616064000 is 34963.9400209715
Scales and comparisons
How big is 42742616064000?- 42,742,616,064,000 seconds is equal to 1,359,082 years, 50 weeks, 6 days, 10 hours, 40 minutes.
-
To count from 1 to 42,742,616,064,000 would take you about three million, three hundred ninety-seven thousand, seven hundred seven 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 42742616064000 cubic inches would be around 2913.7 feet tall.
Recreational maths with 42742616064000
- 42742616064000 backwards is 00046061624724
- The number of decimal digits it has is: 14
- The sum of 42742616064000's digits is 42
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 42742616064000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
APA style:
Numbermatics. (2024). Number 42742616064000 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/42742616064000/
Chicago style:
Numbermatics. 2024. "Number 42742616064000 - Facts about the integer". https://numbermatics.com/n/42742616064000/
The information we have on file for 42742616064000 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!
Keywords: Divisors of 42742616064000, math, Factors of 42742616064000, curriculum, school, college, exams, university, Prime factorization of 42742616064000, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, seven hundred forty-two billion, six hundred sixteen million, sixty-four thousand.