42080670234400
42,080,670,234,400 is an even composite number composed of eight prime numbers multiplied together.
What does the number 42080670234400 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1152 divisors.
42080670234400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 42080670234400:
25 × 52 × 7 × 17 × 19 × 149 × 193 × 809
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 17 × 19 × 149 × 193 × 809)See below for interesting mathematical facts about the number 42080670234400 from the Numbermatics database.
Names of 42080670234400
- Cardinal: 42080670234400 can be written as Forty-two trillion, eighty billion, six hundred seventy million, two hundred thirty-four thousand, four hundred.
Scientific notation
- Scientific notation: 4.20806702344 × 1013
Factors of 42080670234400
Divisors of 42080670234400
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 19 20 25 28 32 34 35 38 40 50 56 68 70 76 80 85 95 100 112 119 133 136 140 149 152 160 170 175 190 193 200 224 238 266 272 280 298 304 323 340 350 380 386 400 425 475 476 532 544 560 595 596 608 646 665 680 700 745 760 772 800 809 850 950 952 965 1043 1064 1120 1190 1192 1292 1330 1351 1360 1400 1490 1520 1544 1615 1618 1700 1900 1904 1930 2086 2128 2261 2380 2384 2533 2584 2660 2702 2720 2800 2831 2975 2980 3040 3088 3230 3236 3281 3325 3400 3667 3725 3800 3808 3860 4045 4172 4256 4522 4760 4768 4825 5066 5168 5215 5320 5404 5600 5662 5663 5950 5960 6176 6460 6472 6562 6650 6755 6800 7334 7450 7600 7720 8075 8090 8344 9044 9520 9650 10132 10336 10430 10640 10808 11305 11324 11326 11900 11920 12665 12920 12944 13124 13300 13510 13600 13753 14155 14668 14900 15200 15371 15440 16150 16180 16405 16688 17731 18088 18335 19040 19300 19817 20225 20264 20860 21280 21616 22610 22648 22652 22967 23800 23840 25330 25669 25840 25888 26075 26248 26600 27020 27506 28310 28315 28757 29336 29800 30742 30880 32300 32360 32810 33376 33775 35462 36176 36670 38600 39634 40450 40528 41720 43232 45220 45296 45304 45934 47600 48127 50660 51338 51680 52150 52496 53200 54040 55012 56525 56620 56630 57514 58672 59600 61484 62339 63325 64600 64720 65620 67550 68765 70775 70924 72352 73340 76855 77200 79268 80900 81056 82025 83440 88655 90440 90592 90608 91675 91868 95200 96254 96271 99085 101320 102676 104300 104992 106400 107597 108080 110024 113050 113240 113260 114835 115028 117344 119200 120541 122968 124678 126650 128345 129200 129440 131240 135100 137530 141550 141575 141848 143785 146680 153710 154400 156137 158536 161800 164050 166880 177310 180880 181216 183350 183736 192508 192542 198170 201299 202640 205352 208600 215194 216160 220048 226100 226480 226520 229670 230056 240635 241082 245936 249356 253300 256690 258400 261307 262480 270200 275060 283100 283150 283696 287570 293360 307420 311695 312274 317072 323600 328100 336889 343825 354620 361760 366700 367472 384275 385016 385084 396340 402598 405280 410704 417200 430388 436373 440096 443275 452200 452960 453040 459340 460112 481270 481355 482164 488869 491872 495425 498712 506600 513380 522614 524960 537985 540400 546383 550120 566200 566300 567392 574175 575140 586720 602705 614840 623390 624548 634144 641725 647200 656200 673778 687650 709240 718925 733400 734944 768550 770032 770168 780685 792680 805196 821408 834400 843787 860776 872746 886550 904400 906080 918680 920224 962540 962710 964328 977738 990850 997424 1006495 1013200 1026760 1045228 1075970 1080800 1092766 1092959 1100240 1132400 1132600 1148350 1150280 1203175 1205410 1229680 1246780 1249096 1283450 1306535 1312400 1347556 1375300 1418480 1437850 1466800 1537100 1540064 1540336 1558475 1561370 1585360 1610392 1684445 1687574 1721552 1745492 1773100 1808800 1829149 1837360 1925080 1925420 1928656 1955476 1981700 1994848 2012990 2026400 2049197 2053520 2090456 2151940 2181865 2185532 2185918 2200480 2264800 2265200 2290279 2296700 2300560 2406350 2406775 2410820 2444345 2459360 2493560 2498192 2566900 2613070 2624800 2654329 2689925 2695112 2731915 2750600 2836960 2875700 2933600 2966603 3013525 3074200 3080672 3116950 3122740 3170720 3220784 3368890 3375148 3422083 3443104 3490984 3546200 3658298 3674720 3824681 3850160 3850840 3857312 3903425 3910952 3963400 4025980 4098394 4107040 4180912 4218935 4303880 4363730 4371064 4371836 4530400 4580558 4593400 4601120 4812700 4813550 4821640 4888690 4987120 4996384 5032475 5133800 5226140 5308658 5379850 5390224 5463830 5464795 5501200 5751400 5933206 6027050 6148400 6233900 6245480 6441568 6532675 6737780 6750296 6844166 6981968 7092400 7316596 7649362 7700320 7701680 7806850 7821904 7926800 8051960 8196788 8361824 8422225 8437870 8607760 8727460 8742128 8743672 9145745 9161116 9186800 9288511 9625400 9627100 9643280 9777380 9974240 10064950 10245985 10267600 10452280 10617316 10759700 10780448 10909325 10927660 10929590 11002400 11451395 11502800 11866412 12054100 12221725 12296800 12467800 12490960 13065350 13271645 13475560 13500592 13659575 13688332 13963936 14184800 14344379 14633192 14833015 15298724 15403360 15613700 15643808 15853600 16031953 16103920 16393576 16844450 16875740 17110415 17215520 17454920 17484256 17487344 18291490 18322232 18373600 18577022 18580303 19123405 19250800 19254200 19286560 19554760 20129900 20491970 20535200 20766221 20904560 21094675 21234632 21519400 21818650 21855320 21859180 22902790 23005600 23264413 23732824 24108200 24443450 24935600 24981920 26130700 26543290 26951120 27001184 27319150 27323975 27376664 28688758 29266384 29666030 30597448 31227400 32063906 32207840 32787152 33688900 33751480 34220830 34909840 34974688 36582980 36644464 37154044 37160606 38246810 38501600 38508400 38934743 39109520 40259800 40983940 41532442 41809120 42189350 42469264 43038800 43637300 43710640 43718360 45728725 45805580 46442555 46528826 47465648 48216400 48886900 49871200 50432251 51229925 52261400 53086580 53902240 54638300 54647950 54753328 57256975 57377516 58532768 59332060 61194896 62454800 64127812 65019577 65574304 66358225 67377800 67502960 68441660 69819680 71721895 73165960 73288928 74165075 74308088 74321212 76493620 77016800 77869486 78219040 80159765 80519600 81967880 83064884 84378700 84938528 85552075 86077600 87274600 87421280 87436720 91457450 91611160 92885110 92901515 93057652 94931296 95617025 96432800 97773800 100864502 102459850 103831105 104522800 106173160 109276600 109295900 109506656 114513950 114755032 116322065 118664120 122389792 124909600 128255624 130039154 132716450 134755600 135005920 136883320 143443790 146331920 148330150 148616176 148642424 152987240 155738972 160319530 161039200 162850891 163935760 166129768 168757400 171104150 174549200 174873440 182914900 183222320 185770220 185803030 186115304 191234050 194673715 195547600 201729004 204919700 207662210 209045600 212346320 218553200 218591800 229027900 229510064 232212775 232644130 237328240 252161255 256511248 260078308 265432900 269511200 272543201 273766640 286887580 292663840 296660300 297232352 297284848 305974480 311477944 320639060 325097885 325701782 327871520 332259536 337514800 342208300 349098400 353025757 358609475 365829800 366444640 371540440 371606060 372230608 382468100 389347430 391095200 395495021 400798825 403458008 409839400 415324420 424692640 437106400 437183600 442023847 458055800 459020128 464425550 464507575 465288260 474656480 504322510 513022496 519155525 520156616 530865800 545086402 547533280 573775160 581610325 593320600 594569696 611948960 622955888 641278120 650195770 651403564 664519072 675029600 684416600 706051514 717218950 731659600 743080880 743212120 744461216 764936200 778694860 790990042 801597650 806916016 814254455 819678800 830648840 874367200 884047694 916111600 928851100 929015150 930576520 973368575 1008645020 1038311050 1040313232 1061731600 1090172804 1147550320 1163220650 1186641200 1245911776 1260806275 1282556240 1300391540 1302807128 1362716005 1368833200 1412103028 1434437900 1463319200 1486161760 1486424240 1529872400 1557389720 1581980084 1603195300 1613832032 1625489425 1628508910 1639357600 1661297680 1765128785 1768095388 1832223200 1857702200 1858030300 1861153040 1946737150 1977475105 2017290040 2076622100 2080626464 2123463200 2180345608 2210119235 2295100640 2326441300 2373282400 2521612550 2565112480 2600783080 2605614256 2725432010 2737666400 2768465147 2824206056 2868875800 2972848480 3059744800 3094166929 3114779440 3163960168 3206390600 3250978850 3257017820 3322595360 3530257570 3536190776 3715404400 3716060600 3722306080 3893474300 3954950210 4034580080 4071272275 4153244200 4360691216 4420238470 4652882600 5043225100 5201566160 5211228512 5450864020 5536930294 5648412112 5737751600 6188333858 6229558880 6327920336 6412781200 6501957700 6514035640 6813580025 7060515140 7072381552 7430808800 7432121200 7514405399 7786948600 7909900420 8069160160 8142544550 8306488400 8721382432 8825643925 8840476940 9305765200 9887375525 10086450200 10403132320 10901728040 11050596175 11073860588 11296824224 11475503200 12376667716 12655840672 12825562400 13003915400 13028071280 13627160050 13842325735 14121030280 14144763104 14864242400 15028810798 15470834645 15573897200 15819800840 16285089100 16612976800 17651287850 17680953880 18611530400 19774751050 20172900400 21803456080 22101192350 22147721176 24753335432 26007830800 26056142560 27254320100 27684651470 28242060560 30057621596 30941669290 31147794400 31639601680 32570178200 35302575700 35361907760 37572026995 39549502100 40345800800 43606912160 44202384700 44295442352 49506670864 52015661600 52600837793 54508640200 55369302940 56484121120 60115243192 61883338580 63279203360 65140356400 69211628675 70605151400 70723815520 75144053990 77354173225 79099004200 88404769400 88590884704 99013341728 105201675586 109017280400 110738605880 120230486384 123766677160 130280712800 138423257350 141210302800 150288107980 154708346450 158198008400 176809538800 187860134975 210403351172 218034560800 221477211760 240460972768 247533354320 263004188965 276846514700 282420605600 300576215960 309416692900 316396016800 353619077600 375720269950 420806702344 442954423520 495066708640 526008377930 553693029400 601152431920 618833385800 751440539900 841613404688 1052016755860 1107386058800 1202304863840 1237666771600 1315020944825 1502881079800 1683226809376 2104033511720 2214772117600 2475333543200 2630041889650 3005762159600 4208067023440 5260083779300 6011524319200 8416134046880 10520167558600 21040335117200 42080670234400
- Sum of all divisors σ(n): 132578389440000
- Sum of proper divisors (its aliquot sum) s(n): 90497719205600
- 42080670234400 is an abundant number, because the sum of its proper divisors (90497719205600) is greater than itself. Its abundance is 48417048971200
Bases of 42080670234400
- Binary: 10011001000101101010110110011010110111001000002
- Hexadecimal: 0x2645AB66B720
- Base-36: EWZLCKEN4
Squares and roots of 42080670234400
- 42080670234400 squared (420806702344002) is 1770782807376318150943360000
- 42080670234400 cubed (420806702344003) is 74515727373947899973866695432323584000000
-
The
square root of 42080670234400 is 6486961.5564145283 -
The
cube root of 42080670234400 is 34782.5071270119
Scales and comparisons
How big is 42080670234400?- 42,080,670,234,400 seconds is equal to 1,338,035 years, 7 weeks, 5 days, 9 hours, 6 minutes, 40 seconds.
-
To count from 1 to 42,080,670,234,400 would take you about three million, three hundred forty-five thousand and eighty-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 42080670234400 cubic inches would be around 2898.5 feet tall.
Recreational maths with 42080670234400
- 42080670234400 backwards is 00443207608024
- 42080670234400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42080670234400's digits is 40
- More coming soon!
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The information we have on file for 42080670234400 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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