42814113054720
42,814,113,054,720 is an even composite number composed of five prime numbers multiplied together.
What does the number 42814113054720 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 928 divisors.
42814113054720 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred twenty-eight divisors.
Prime factorization of 42814113054720:
228 × 3 × 5 × 73 × 31
(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 × 2 × 3 × 5 × 7 × 7 × 7 × 31)See below for interesting mathematical facts about the number 42814113054720 from the Numbermatics database.
Names of 42814113054720
- Cardinal: 42814113054720 can be written as Forty-two trillion, eight hundred fourteen billion, one hundred thirteen million, fifty-four thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 4.281411305472 × 1013
Factors of 42814113054720
Divisors of 42814113054720
- Number of divisors d(n): 928
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 32 35 40 42 48 49 56 60 62 64 70 80 84 93 96 98 105 112 120 124 128 140 147 155 160 168 186 192 196 210 217 224 240 245 248 256 280 294 310 320 336 343 372 384 392 420 434 448 465 480 490 496 512 560 588 620 640 651 672 686 735 744 768 784 840 868 896 930 960 980 992 1024 1029 1085 1120 1176 1240 1280 1302 1344 1372 1470 1488 1519 1536 1568 1680 1715 1736 1792 1860 1920 1960 1984 2048 2058 2170 2240 2352 2480 2560 2604 2688 2744 2940 2976 3038 3072 3136 3255 3360 3430 3472 3584 3720 3840 3920 3968 4096 4116 4340 4480 4557 4704 4960 5120 5145 5208 5376 5488 5880 5952 6076 6144 6272 6510 6720 6860 6944 7168 7440 7595 7680 7840 7936 8192 8232 8680 8960 9114 9408 9920 10240 10290 10416 10633 10752 10976 11760 11904 12152 12288 12544 13020 13440 13720 13888 14336 14880 15190 15360 15680 15872 16384 16464 17360 17920 18228 18816 19840 20480 20580 20832 21266 21504 21952 22785 23520 23808 24304 24576 25088 26040 26880 27440 27776 28672 29760 30380 30720 31360 31744 31899 32768 32928 34720 35840 36456 37632 39680 40960 41160 41664 42532 43008 43904 45570 47040 47616 48608 49152 50176 52080 53165 53760 54880 55552 57344 59520 60760 61440 62720 63488 63798 65536 65856 69440 71680 72912 75264 79360 81920 82320 83328 85064 86016 87808 91140 94080 95232 97216 98304 100352 104160 106330 107520 109760 111104 114688 119040 121520 122880 125440 126976 127596 131072 131712 138880 143360 145824 150528 158720 159495 163840 164640 166656 170128 172032 175616 182280 188160 190464 194432 196608 200704 208320 212660 215040 219520 222208 229376 238080 243040 245760 250880 253952 255192 262144 263424 277760 286720 291648 301056 317440 318990 327680 329280 333312 340256 344064 351232 364560 376320 380928 388864 393216 401408 416640 425320 430080 439040 444416 458752 476160 486080 491520 501760 507904 510384 524288 526848 555520 573440 583296 602112 634880 637980 655360 658560 666624 680512 688128 702464 729120 752640 761856 777728 786432 802816 833280 850640 860160 878080 888832 917504 952320 972160 983040 1003520 1015808 1020768 1048576 1053696 1111040 1146880 1166592 1204224 1269760 1275960 1310720 1317120 1333248 1361024 1376256 1404928 1458240 1505280 1523712 1555456 1572864 1605632 1666560 1701280 1720320 1756160 1777664 1835008 1904640 1944320 1966080 2007040 2031616 2041536 2097152 2107392 2222080 2293760 2333184 2408448 2539520 2551920 2621440 2634240 2666496 2722048 2752512 2809856 2916480 3010560 3047424 3110912 3145728 3211264 3333120 3402560 3440640 3512320 3555328 3670016 3809280 3888640 3932160 4014080 4063232 4083072 4194304 4214784 4444160 4587520 4666368 4816896 5079040 5103840 5242880 5268480 5332992 5444096 5505024 5619712 5832960 6021120 6094848 6221824 6291456 6422528 6666240 6805120 6881280 7024640 7110656 7340032 7618560 7777280 7864320 8028160 8126464 8166144 8388608 8429568 8888320 9175040 9332736 9633792 10158080 10207680 10485760 10536960 10665984 10888192 11010048 11239424 11665920 12042240 12189696 12443648 12582912 12845056 13332480 13610240 13762560 14049280 14221312 14680064 15237120 15554560 15728640 16056320 16252928 16332288 16777216 16859136 17776640 18350080 18665472 19267584 20316160 20415360 20971520 21073920 21331968 21776384 22020096 22478848 23331840 24084480 24379392 24887296 25165824 25690112 26664960 27220480 27525120 28098560 28442624 29360128 30474240 31109120 31457280 32112640 32505856 32664576 33554432 33718272 35553280 36700160 37330944 38535168 40632320 40830720 41943040 42147840 42663936 43552768 44040192 44957696 46663680 48168960 48758784 49774592 50331648 51380224 53329920 54440960 55050240 56197120 56885248 58720256 60948480 62218240 62914560 64225280 65011712 65329152 67108864 67436544 71106560 73400320 74661888 77070336 81264640 81661440 83886080 84295680 85327872 87105536 88080384 89915392 93327360 96337920 97517568 99549184 100663296 102760448 106659840 108881920 110100480 112394240 113770496 117440512 121896960 124436480 125829120 128450560 130023424 130658304 134217728 134873088 142213120 146800640 149323776 154140672 162529280 163322880 167772160 168591360 170655744 174211072 176160768 179830784 186654720 192675840 195035136 199098368 201326592 205520896 213319680 217763840 220200960 224788480 227540992 234881024 243793920 248872960 251658240 256901120 260046848 261316608 268435456 269746176 284426240 293601280 298647552 308281344 325058560 326645760 335544320 337182720 341311488 348422144 352321536 359661568 373309440 385351680 390070272 398196736 402653184 411041792 426639360 435527680 440401920 449576960 455081984 469762048 487587840 497745920 503316480 513802240 520093696 522633216 539492352 568852480 587202560 597295104 616562688 650117120 653291520 671088640 674365440 682622976 696844288 704643072 719323136 746618880 770703360 780140544 796393472 805306368 822083584 853278720 871055360 880803840 899153920 910163968 939524096 975175680 995491840 1006632960 1027604480 1040187392 1045266432 1078984704 1137704960 1174405120 1194590208 1233125376 1300234240 1306583040 1342177280 1348730880 1365245952 1393688576 1409286144 1438646272 1493237760 1541406720 1560281088 1592786944 1644167168 1706557440 1742110720 1761607680 1798307840 1820327936 1879048192 1950351360 1990983680 2013265920 2055208960 2080374784 2090532864 2157969408 2275409920 2348810240 2389180416 2466250752 2600468480 2613166080 2697461760 2730491904 2787377152 2818572288 2877292544 2986475520 3082813440 3120562176 3185573888 3288334336 3413114880 3484221440 3523215360 3596615680 3640655872 3900702720 3981967360 4026531840 4110417920 4160749568 4181065728 4315938816 4550819840 4697620480 4778360832 4932501504 5200936960 5226332160 5394923520 5460983808 5574754304 5637144576 5754585088 5972951040 6165626880 6241124352 6371147776 6576668672 6826229760 6968442880 7046430720 7193231360 7281311744 7801405440 7963934720 8220835840 8321499136 8362131456 8631877632 9101639680 9395240960 9556721664 9865003008 10401873920 10452664320 10789847040 10921967616 11149508608 11509170176 11945902080 12331253760 12482248704 12742295552 13153337344 13652459520 13936885760 14092861440 14386462720 14562623488 15602810880 15927869440 16441671680 16724262912 17263755264 18203279360 19113443328 19730006016 20803747840 20905328640 21579694080 21843935232 22299017216 23018340352 23891804160 24662507520 24964497408 25484591104 27304919040 27873771520 28185722880 28772925440 29125246976 31205621760 31855738880 32883343360 33448525824 34527510528 36406558720 38226886656 39460012032 41607495680 41810657280 43159388160 43687870464 44598034432 46036680704 47783608320 49325015040 50969182208 54609838080 55747543040 57545850880 58250493952 62411243520 63711477760 65766686720 66897051648 69055021056 72813117440 76453773312 83621314560 86318776320 87375740928 89196068864 92073361408 95567216640 98650030080 101938364416 109219676160 111495086080 115091701760 124822487040 127422955520 133794103296 138110042112 145626234880 152907546624 167242629120 172637552640 174751481856 178392137728 191134433280 197300060160 203876728832 218439352320 222990172160 230183403520 254845911040 267588206592 276220084224 291252469760 305815093248 334485258240 345275105280 356784275456 382268866560 407753457664 436878704640 445980344320 460366807040 509691822080 535176413184 611630186496 668970516480 690550210560 713568550912 764537733120 873757409280 891960688640 1019383644160 1070352826368 1223260372992 1337941032960 1381100421120 1427137101824 1529075466240 1783921377280 2038767288320 2140705652736 2675882065920 2854274203648 3058150932480 3567842754560 4281411305472 5351764131840 6116301864960 7135685509120 8562822610944 10703528263680 14271371018240 21407056527360 42814113054720
- Sum of all divisors σ(n): 164926743859200
- Sum of proper divisors (its aliquot sum) s(n): 122112630804480
- 42814113054720 is an abundant number, because the sum of its proper divisors (122112630804480) is greater than itself. Its abundance is 79298517749760
Bases of 42814113054720
- Binary: 10011011110000011100000000000000000000000000002
- Hexadecimal: 0x26F070000000
- Base-36: F6CJ5HGQO
Squares and roots of 42814113054720
- 42814113054720 squared (428141130547202) is 1833048276662345529714278400
- 42814113054720 cubed (428141130547203) is 78480336151781326053195520517024514048000
-
The
square root of 42814113054720 is 6543249.4262957757 -
The
cube root of 42814113054720 is 34983.4242748393
Scales and comparisons
How big is 42814113054720?- 42,814,113,054,720 seconds is equal to 1,361,356 years, 18 weeks, 5 days, 21 hours, 52 minutes.
-
To count from 1 to 42,814,113,054,720 would take you about three million, four hundred three thousand, three 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 42814113054720 cubic inches would be around 2915.3 feet tall.
Recreational maths with 42814113054720
- 42814113054720 backwards is 02745031141824
- 42814113054720 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42814113054720's digits is 42
- More coming soon!
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MLA style:
"Number 42814113054720 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
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Numbermatics. (2024). Number 42814113054720 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/42814113054720/
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The information we have on file for 42814113054720 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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