42428142187200
42,428,142,187,200 is an even composite number composed of six prime numbers multiplied together.
42428142187200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, seven hundred eighty divisors.
Prime factorization of 42428142187200:
26 × 33 × 52 × 72 × 114 × 372
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 11 × 11 × 11 × 11 × 37 × 37)See below for interesting mathematical facts about the number 42428142187200 from the Numbermatics database.
Names of 42428142187200
- Cardinal: 42428142187200 can be written as Forty-two trillion, four hundred twenty-eight billion, one hundred forty-two million, one hundred eighty-seven thousand, two hundred.
Scientific notation
- Scientific notation: 4.24281421872 × 1013
Factors of 42428142187200
Divisors of 42428142187200
- Number of divisors d(n): 3780
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 27 28 30 32 33 35 36 37 40 42 44 45 48 49 50 54 55 56 60 63 64 66 70 72 74 75 77 80 84 88 90 96 98 99 100 105 108 110 111 112 120 121 126 132 135 140 144 147 148 150 154 160 165 168 175 176 180 185 189 192 196 198 200 210 216 220 222 224 225 231 240 242 245 252 259 264 270 275 280 288 294 296 297 300 308 315 320 330 333 336 350 352 360 363 370 378 385 392 396 400 407 420 432 440 441 444 448 450 462 480 484 490 495 504 518 525 528 539 540 550 555 560 576 588 592 594 600 605 616 630 660 666 672 675 693 700 704 720 726 735 740 756 770 777 784 792 800 814 825 840 847 864 880 882 888 900 924 925 945 960 968 980 990 999 1008 1036 1050 1056 1078 1080 1089 1100 1110 1120 1155 1176 1184 1188 1200 1210 1221 1225 1232 1260 1295 1320 1323 1331 1332 1344 1350 1369 1386 1400 1440 1452 1470 1480 1485 1512 1540 1554 1568 1575 1584 1600 1617 1628 1650 1665 1680 1694 1728 1760 1764 1776 1800 1813 1815 1848 1850 1890 1925 1936 1960 1980 1998 2016 2035 2072 2079 2100 2112 2156 2160 2178 2200 2205 2220 2240 2310 2331 2352 2368 2376 2400 2420 2442 2450 2464 2475 2520 2541 2590 2640 2646 2662 2664 2695 2700 2738 2772 2775 2800 2849 2880 2904 2940 2960 2970 3024 3025 3080 3108 3136 3150 3168 3234 3256 3267 3300 3330 3360 3388 3465 3520 3528 3552 3600 3626 3630 3663 3675 3696 3700 3780 3850 3872 3885 3920 3960 3993 3996 4032 4070 4107 4144 4158 4200 4235 4312 4320 4356 4400 4410 4440 4477 4620 4662 4704 4725 4752 4800 4840 4851 4884 4900 4928 4950 4995 5040 5082 5180 5280 5292 5324 5328 5390 5400 5439 5445 5476 5544 5550 5600 5698 5775 5808 5880 5920 5929 5940 6048 6050 6105 6160 6216 6300 6336 6468 6475 6512 6534 6600 6615 6655 6660 6720 6776 6845 6930 6993 7056 7104 7200 7252 7260 7326 7350 7392 7400 7425 7560 7623 7700 7744 7770 7840 7920 7986 7992 8085 8140 8214 8288 8316 8325 8400 8470 8547 8624 8640 8712 8800 8820 8880 8954 9065 9075 9240 9317 9324 9408 9450 9504 9583 9680 9702 9768 9800 9900 9990 10080 10164 10175 10360 10395 10560 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7857063368 7871640480 7963239900 7969222800 8017411600 8035632990 8190761040 8348709600 8418282180 8494122560 8571341856 8609606775 8658804528 8687170800 8746267200 8766145080 8839196289 8928481100 8979500992 9019588050 9100845600 9183580560 9476913600 9555887880 9620893920 9642759588 9740161200 9821329210 9839550600 10018451520 10101938616 10203978400 10238451300 10330689600 10424604960 10522852725 10617653200 10625630400 10714177320 10823505660 10921014720 10957681350 11020296672 11224376240 11467065456 11479475700 11545072704 11582894400 11688193440 11701087200 11785595052 11944859850 12026117400 12053449485 12244774080 12523064400 12627423270 12741183840 12857012784 12986881600 13030756200 13119400800 13392721650 13469251488 13529382075 13651268400 13775370840 14025832128 14030470300 14285569760 14333831820 14431340880 14610241800 14731993815 14892292800 15152907924 15289420608 15305967600 15496034400 15714126736 15743280960 15926479800 15938445600 16034823200 16071265980 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38960644800 39285316840 39358202400 40178164950 40407754464 40953805200 42091410900 42470612800 42856709280 43294022640 43830725400 44195981445 44897504960 45868261824 45917902800 47142380208 47779439400 48104469600 48213797940 49106646050 50092257600 50509693080 51428051136 52123024800 53035177734 53570886600 54117528300 54605073600 55101483360 56121881200 57335327280 57725363520 58440967200 58927975260 60267247425 60611631696 61223870400 62856506944 63137116350 63705919200 64285063920 67346257440 68876854200 70129160640 70713570312 71427848800 71669159100 72156704400 73659969075 75764539620 76447103040 77142076704 78570633680 78716404800 80356329900 80815508928 81907610400 84182821800 85713418560 86588045280 87661450800 88391962890 91835805600 94284760416 94705674525 95558878800 96208939200 96427595880 98213292100 101019386160 104246049600 106070355468 107141773200 108235056600 110202966720 112243762400 114670654560 116881934400 117855950520 120534494850 121223263392 126274232700 127411838400 128570127840 132587944335 134692514880 137753708400 141427140624 142855697600 143338318200 144313408800 147319938150 151529079240 154284153408 157141267360 160712659800 163815220800 168365643600 173176090560 175322901600 176783925780 183671611200 188569520832 189411349050 191117757600 192855191760 196426584200 202038772320 212140710936 214283546400 216470113200 220979907225 224487524800 229341309120 235711901040 241068989700 242446526784 252548465400 257140255680 265175888670 275507416800 282854281248 286676636400 288626817600 294639876300 303058158480 314282534720 321425319600 336731287200 350645803200 353567851560 378822698100 382235515200 385710383520 392853168400 404077544640 424281421872 428567092800 432940226400 441959814450 471423802080 482137979400 505096930800 530351777340 551014833600 565708562496 573353272800 589279752600 606116316960 642850639200 662939721675 673462574400 707135703120 757645396200 771420767040 785706336800 848562843744 865880452800 883919628900 942847604160 964275958800 1010193861600 1060703554680 1146706545600 1178559505200 1212232633920 1285701278400 1325879443350 1414271406240 1515290792400 1571412673600 1697125687488 1767839257800 1928551917600 2020387723200 2121407109360 2357119010400 2651758886700 2828542812480 3030581584800 3535678515600 3857103835200 4242814218720 4714238020800 5303517773400 6061163169600 7071357031200 8485628437440 10607035546800 14142714062400 21214071093600 42428142187200
- Sum of all divisors σ(n): 203401938864600
- Sum of proper divisors (its aliquot sum) s(n): 160973796677400
- 42428142187200 is an abundant number, because the sum of its proper divisors (160973796677400) is greater than itself. Its abundance is 118545654490200
Bases of 42428142187200
- Binary: 10011010010110100100100101011111110010110000002
- Hexadecimal: 0x26969257F2C0
- Base-36: F1F7WE9C0
Squares and roots of 42428142187200
- 42428142187200 squared (424281421872002) is 1800147249457260399843840000
- 42428142187200 cubed (424281421872003) is 76376903457869632273950368196046848000000
-
The
square root of 42428142187200 is 6513688.8310081255 -
The
cube root of 42428142187200 is 34877.9811430579
Scales and comparisons
How big is 42428142187200?- 42,428,142,187,200 seconds is equal to 1,349,083 years, 35 weeks, 3 days, 12 hours.
-
To count from 1 to 42,428,142,187,200 would take you about three million, three hundred seventy-two thousand, seven hundred nine 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 42428142187200 cubic inches would be around 2906.5 feet tall.
Recreational maths with 42428142187200
- 42428142187200 backwards is 00278124182424
- 42428142187200 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42428142187200's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 42428142187200 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
APA style:
Numbermatics. (2024). Number 42428142187200 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/42428142187200/
Chicago style:
Numbermatics. 2024. "Number 42428142187200 - Facts about the integer". https://numbermatics.com/n/42428142187200/
The information we have on file for 42428142187200 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 42428142187200, math, Factors of 42428142187200, curriculum, school, college, exams, university, Prime factorization of 42428142187200, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, four hundred twenty-eight billion, one hundred forty-two million, one hundred eighty-seven thousand, two hundred.