3438243728640
3,438,243,728,640 is an even composite number composed of six prime numbers multiplied together.
3438243728640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 3438243728640:
28 × 34 × 5 × 72 × 43 × 15739
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 43 × 15739)See below for interesting mathematical facts about the number 3438243728640 from the Numbermatics database.
Names of 3438243728640
- Cardinal: 3438243728640 can be written as Three trillion, four hundred thirty-eight billion, two hundred forty-three million, seven hundred twenty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 3.43824372864 × 1012
Factors of 3438243728640
Divisors of 3438243728640
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 43 45 48 49 54 56 60 63 64 70 72 80 81 84 86 90 96 98 105 108 112 120 126 128 129 135 140 144 147 160 162 168 172 180 189 192 196 210 215 216 224 240 245 252 256 258 270 280 288 294 301 315 320 324 336 344 360 378 384 387 392 405 420 430 432 441 448 480 490 504 516 540 560 567 576 588 602 630 640 645 648 672 688 720 735 756 768 774 784 810 840 860 864 882 896 903 945 960 980 1008 1032 1080 1120 1134 1152 1161 1176 1204 1260 1280 1290 1296 1323 1344 1376 1440 1470 1505 1512 1548 1568 1620 1680 1720 1728 1764 1792 1806 1890 1920 1935 1960 2016 2064 2107 2160 2205 2240 2268 2304 2322 2352 2408 2520 2580 2592 2646 2688 2709 2752 2835 2880 2940 3010 3024 3096 3136 3240 3360 3440 3456 3483 3528 3612 3780 3840 3870 3920 3969 4032 4128 4214 4320 4410 4480 4515 4536 4644 4704 4816 5040 5160 5184 5292 5376 5418 5504 5670 5760 5805 5880 6020 6048 6192 6272 6321 6480 6615 6720 6880 6912 6966 7056 7224 7560 7740 7840 7938 8064 8127 8256 8428 8640 8820 8960 9030 9072 9288 9408 9632 10080 10320 10368 10535 10584 10836 11008 11340 11520 11610 11760 12040 12096 12384 12544 12642 12960 13230 13440 13545 13760 13932 14112 14448 15120 15480 15680 15739 15876 16128 16254 16512 16856 17280 17415 17640 18060 18144 18576 18816 18963 19264 19845 20160 20640 20736 21070 21168 21672 22680 23220 23520 24080 24192 24381 24768 25284 25920 26460 26880 27090 27520 27864 28224 28896 30240 30960 31360 31478 31605 31752 32508 33024 33712 34560 34830 35280 36120 36288 37152 37632 37926 38528 39690 40320 40635 41280 42140 42336 43344 45360 46440 47040 47217 48160 48384 48762 49536 50568 51840 52920 54180 55040 55728 56448 56889 57792 60480 61920 62720 62956 63210 63504 65016 67424 69660 70560 72240 72576 74304 75852 77056 78695 79380 80640 81270 82560 84280 84672 86688 90720 92880 94080 94434 94815 96320 97524 99072 101136 103680 105840 108360 110173 111456 112896 113778 115584 120960 121905 123840 125912 126420 127008 130032 134848 139320 141120 141651 144480 145152 148608 151704 157390 158760 162540 165120 168560 169344 170667 173376 181440 185760 188160 188868 189630 192640 195048 202272 211680 216720 220346 222912 227556 231168 236085 241920 243810 247680 251824 252840 254016 260064 269696 278640 282240 283302 284445 288960 297216 303408 314780 317520 325080 330519 337120 338688 341334 346752 362880 371520 377736 379260 385280 390096 404544 423360 424953 433440 440692 445824 455112 472170 487620 495360 503648 505680 508032 520128 539392 550865 557280 564480 566604 568890 577920 606816 629560 635040 650160 661038 674240 676777 682668 693504 708255 725760 743040 755472 758520 771211 780192 809088 846720 849906 853335 866880 881384 891648 910224 944340 975240 991557 1007296 1011360 1016064 1040256 1101730 1114560 1133208 1137780 1155840 1213632 1259120 1270080 1274859 1300320 1322076 1348480 1353554 1365336 1416510 1486080 1510944 1517040 1542422 1560384 1618176 1652595 1693440 1699812 1706670 1733760 1762768 1820448 1888680 1950480 1983114 2014592 2022720 2030331 2080512 2124765 2203460 2229120 2266416 2275560 2313633 2427264 2518240 2540160 2549718 2600640 2644152 2696960 2707108 2730672 2833020 2974671 3021888 3034080 3084844 3120768 3305190 3383885 3399624 3413340 3467520 3525536 3640896 3777360 3856055 3900960 3966228 4029184 4045440 4060662 4249530 4406920 4458240 4532832 4551120 4627266 4737439 4854528 4957785 5036480 5080320 5099436 5201280 5288304 5414216 5461344 5666040 5949342 6043776 6068160 6090993 6169688 6241536 6374295 6610380 6767770 6799248 6826680 6940899 7051072 7281792 7554720 7712110 7801920 7932456 8090880 8121324 8499060 8813840 8924013 9065664 9102240 9254532 9474878 9915570 10072960 10151655 10198872 10402560 10576608 10828432 10922688 11332080 11568165 11898684 12087552 12136320 12181986 12339376 12748590 13220760 13535540 13598496 13653360 13881798 14102144 14212317 14563584 14873355 15109440 15424220 15603840 15864912 16242648 16998120 17627680 17848026 18131328 18204480 18272979 18509064 18949756 19831140 20145920 20303310 20397744 20822697 21153216 21656864 21845376 22664160 23136330 23687195 23797368 24272640 24363972 24678752 25497180 26441520 27071080 27196992 27306720 27763596 28204288 28424634 29746710 30218880 30454965 30848440 31207680 31729824 32485296 33162073 33996240 34704495 35255360 35696052 36262656 36408960 36545958 37018128 37899512 39662280 40606620 40795488 41645394 42306432 42636951 43313728 43690752 44620065 45328320 46272660 47374390 47594736 48727944 49357504 50994360 52883040 54142160 54393984 54613440 54818937 55527192 56849268 59493420 60437760 60909930 61696880 62468091 63459648 64970592 66324146 67992480 69408990 70510720 71061585 71392104 72817920 73091916 74036256 75799024 79324560 81213240 81590976 83290788 84612864 85273902 86627456 89240130 90656640 91364895 92545320 94748780 95189472 97455888 98715008 99486219 101988720 104113485 105766080 108284320 108787968 109226880 109637874 111054384 113698536 118986840 121819860 123393760 124936182 126919296 127910853 129941184 132648292 135984960 138817980 141021440 142123170 142784208 146183832 148072512 151598048 158649120 162426480 163181952 165810365 166581576 170547804 173254912 178480260 181313280 182729790 185090640 189497560 190378944 194911776 197430016 198972438 203977440 208226970 211532160 213184755 216568640 218453760 219275748 222108768 227397072 237973680 243639720 246787520 249872364 253838592 255821706 259882368 265296584 271969920 274094685 277635960 284246340 285568416 292367664 296145024 298458657 303196096 312340455 317298240 324852960 326363904 331620730 333163152 341095608 356960520 365459580 370181280 378995120 380757888 383732559 389823552 397944876 407954880 416453940 423064320 426369510 433137280 438551496 444217536 454794144 475947360 487279440 493575040 497431095 499744728 511643412 519764736 530593168 543939840 548189370 555271920 568492680 571136832 584735328 592290048 596917314 606392192 624680910 634596480 639554265 649705920 663241460 666326304 682191216 713921040 730919160 740362560 757990240 761515776 767465118 779647104 795889752 815909760 832907880 852739020 866274560 877102992 888435072 895375971 909588288 951894720 974558880 987150080 994862190 999489456 1023286824 1061186336 1096378740 1110543840 1136985360 1142273664 1169470656 1193834628 1212784384 1249361820 1269192960 1279108530 1299411840 1326482920 1332652608 1364382432 1427842080 1461838320 1480725120 1492293285 1515980480 1534930236 1559294208 1591779504 1631819520 1665815760 1705478040 1754205984 1776870144 1790751942 1819176576 1903789440 1918662795 1949117760 1989724380 1998978912 2046573648 2122372672 2192757480 2221087680 2273970720 2284547328 2338941312 2387669256 2498723640 2558217060 2598823680 2652965840 2665305216 2686127913 2728764864 2855684160 2923676640 2961450240 2984586570 3031960960 3069860472 3183559008 3331631520 3410956080 3508411968 3581503884 3638353152 3807578880 3837325590 3898235520 3979448760 3997957824 4093147296 4244745344 4385514960 4442175360 4476879855 4547941440 4677882624 4775338512 4997447280 5116434120 5305931680 5330610432 5372255826 5457529728 5711368320 5847353280 5969173140 6063921920 6139720944 6367118016 6663263040 6821912160 7016823936 7163007768 7674651180 7796471040 7958897520 7995915648 8186294592 8489490688 8771029920 8884350720 8953759710 9095882880 9550677024 9994894560 10232868240 10611863360 10744511652 10915059456 11422736640 11694706560 11938346280 12279441888 12734236032 13326526080 13430639565 13643824320 14033647872 14326015536 15349302360 15917795040 15991831296 16372589184 17542059840 17907519420 18191765760 19101354048 19989789120 20465736480 21223726720 21489023304 23389413120 23876692560 24558883776 25468472064 26653052160 26861279130 27287648640 28652031072 30698604720 31835590080 32745178368 35084119680 35815038840 38202708096 39979578240 40931472960 42447453440 42978046608 47753385120 49117767552 53722558260 54575297280 57304062144 61397209440 63671180160 70168239360 71630077680 76405416192 79959156480 81862945920 85956093216 95506770240 98235535104 107445116520 114608124288 122794418880 127342360320 143260155360 163725891840 171912186432 191013540480 214890233040 229216248576 245588837760 286520310720 343824372864 382027080960 429780466080 491177675520 573040621440 687648745728 859560932160 1146081242880 1719121864320 3438243728640
- Sum of all divisors σ(n): 14645013657120
- Sum of proper divisors (its aliquot sum) s(n): 11206769928480
- 3438243728640 is an abundant number, because the sum of its proper divisors (11206769928480) is greater than itself. Its abundance is 7768526199840
Bases of 3438243728640
- Binary: 1100100000100001110100101111001101000000002
- Hexadecimal: 0x320874BCD00
- Base-36: 17VI9JK00
Squares and roots of 3438243728640
- 3438243728640 squared (34382437286402) is 11821519937532289956249600
- 3438243728640 cubed (34382437286403) is 40645266788213120499573247174508544000
-
The
square root of 3438243728640 is 1854250.1796251767 -
The
cube root of 3438243728640 is 15093.1151875169
Scales and comparisons
How big is 3438243728640?- 3,438,243,728,640 seconds is equal to 109,325 years, 26 weeks, 5 days, 14 hours, 24 minutes.
-
To count from 1 to 3,438,243,728,640 would take you about two hundred seventy-three thousand, three hundred thirteen 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 3438243728640 cubic inches would be around 1257.8 feet tall.
Recreational maths with 3438243728640
- 3438243728640 backwards is 0468273428343
- 3438243728640 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 3438243728640's digits is 54
- More coming soon!
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The information we have on file for 3438243728640 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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