214464405639120
214,464,405,639,120 is an even composite number composed of six prime numbers multiplied together.
What does the number 214464405639120 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1200 divisors.
214464405639120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 214464405639120:
24 × 3 × 5 × 74 × 13 × 315
(2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 7 × 13 × 31 × 31 × 31 × 31 × 31)See below for interesting mathematical facts about the number 214464405639120 from the Numbermatics database.
Names of 214464405639120
- Cardinal: 214464405639120 can be written as Two hundred fourteen trillion, four hundred sixty-four billion, four hundred five million, six hundred thirty-nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 2.1446440563912 × 1014
Factors of 214464405639120
Divisors of 214464405639120
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 31 35 39 40 42 48 49 52 56 60 62 65 70 78 80 84 91 93 98 104 105 112 120 124 130 140 147 155 156 168 182 186 195 196 208 210 217 240 245 248 260 273 280 294 310 312 336 343 364 372 390 392 403 420 434 455 465 490 496 520 546 560 588 620 624 637 651 686 728 735 744 780 784 806 840 868 910 930 961 980 1029 1040 1085 1092 1176 1209 1240 1274 1302 1365 1372 1456 1470 1488 1519 1560 1612 1680 1715 1736 1820 1860 1911 1922 1960 2015 2058 2170 2184 2352 2401 2418 2480 2548 2604 2730 2744 2821 2883 2940 3038 3120 3185 3224 3255 3430 3472 3640 3720 3822 3844 3920 4030 4116 4340 4368 4459 4557 4802 4805 4836 5096 5145 5208 5460 5488 5642 5766 5880 6045 6076 6370 6448 6510 6727 6860 7203 7280 7440 7595 7644 7688 8060 8232 8463 8680 8918 9114 9555 9604 9610 9672 10192 10290 10416 10633 10920 11284 11532 11760 12005 12090 12152 12493 12740 13020 13377 13454 13720 14105 14406 14415 15190 15288 15376 16120 16464 16926 17360 17836 18228 19110 19208 19220 19344 19747 20181 20580 21266 21840 22295 22568 22785 23064 24010 24180 24304 24986 25480 26040 26754 26908 27440 28210 28812 28830 29791 30380 30576 31213 31899 32240 33635 33852 35672 36015 36456 37479 38220 38416 38440 39494 40362 41160 42315 42532 44590 45136 45570 46128 47089 48020 48360 49972 50960 52080 53165 53508 53816 56420 57624 57660 59241 59582 60760 62426 62465 63798 66885 67270 67704 71344 72030 72912 74431 74958 76440 76880 78988 80724 82320 84630 85064 87451 89180 89373 91140 93639 94178 96040 96720 98735 99944 100905 106330 107016 107632 112840 115248 115320 118482 119164 121520 124852 124930 127596 133770 134540 135408 138229 141267 144060 148862 148955 149916 152880 156065 157976 159495 161448 169260 170128 174902 178360 178746 182280 187278 187395 188356 192080 197470 199888 201810 208537 212660 214032 223293 225680 230640 235445 236964 238328 249704 249860 255192 262353 267540 269080 276458 282534 288120 296205 297724 297910 299832 312130 315952 318990 322896 329623 338520 349804 356720 357492 364560 372155 374556 374790 376712 387283 394940 403620 414687 417074 425320 437255 446586 446865 468195 470890 473928 476656 499408 499720 510384 524706 535080 538160 552916 565068 576240 592410 595448 595820 599664 612157 624260 625611 637980 659246 677040 691145 699608 706335 714984 744310 749112 749580 753424 774566 789880 807240 829374 834148 850640 874510 893172 893730 923521 936390 941780 947856 967603 988869 999440 1042685 1049412 1070160 1105832 1116465 1130136 1161849 1184820 1190896 1191640 1224314 1248520 1251222 1275960 1311765 1318492 1382290 1399216 1412670 1429968 1459759 1488620 1498224 1499160 1549132 1579760 1614480 1648115 1658748 1668296 1749020 1786344 1787460 1836471 1847042 1872780 1883560 1935206 1936415 1977738 2073435 2085370 2098824 2211664 2232930 2260272 2307361 2323698 2369640 2383280 2448628 2497040 2502444 2551920 2623530 2636984 2710981 2764580 2770563 2825340 2902809 2919518 2977240 2998320 3060785 3098264 3128055 3296230 3317496 3336592 3498040 3572688 3574920 3672942 3694084 3745560 3767120 3870412 3872830 3955476 4146870 4170740 4197648 4285099 4379277 4465860 4614722 4617605 4647396 4739280 4838015 4897256 4944345 5004888 5247060 5273968 5421962 5529160 5541126 5650680 5805618 5809245 5839036 5954480 6121570 6196528 6256110 6464647 6592460 6634992 6922083 6996080 7149840 7298795 7345884 7388168 7491120 7740824 7745660 7910952 8132943 8293740 8341480 8570198 8758554 8931720 9182355 9229444 9235210 9294792 9676030 9794512 9888690 10009776 10218313 10494120 10843924 11058320 11082252 11301360 11536805 11611236 11618490 11678072 12005773 12243140 12512220 12855297 12929294 13184920 13554905 13844166 13852815 14514045 14597590 14691768 14776336 15481648 15491320 15821904 16265886 16587480 16682960 17140396 17517108 17863440 18364710 18458888 18470420 18589584 18976867 19352060 19393941 19777380 20436626 20988240 21425495 21687848 21896385 22164504 23073610 23222472 23236980 23356144 24011546 24486280 25024440 25710594 25858588 26369840 27109810 27688332 27705630 28629151 29028090 29195180 29383536 29995693 30654939 30982640 32323235 32531772 33174960 34280792 34610415 35034216 36017319 36729420 36917776 36940840 37953734 38704120 38787882 39554760 40664715 40873252 42850990 43375696 43792770 44329008 45252529 46147220 46444944 46473960 48023092 48972560 50048880 51091565 51421188 51717176 54219620 55376664 55411260 56930601 57258302 58056180 58390360 59991386 60028865 61309878 64276485 64646470 65063544 68561584 69220830 70068432 71528191 72034638 73458840 73881680 75907468 77408240 77575764 79109520 81329430 81746504 84040411 85701980 85887453 87585540 89987079 90505058 92294440 92947920 94884335 96046184 96969705 102183130 102842376 103434352 108439240 110753328 110822520 113861202 114516604 116112360 116780720 119982772 120057730 122619756 128552970 129292940 130127088 132838069 135757587 138441660 143056382 143145755 144069276 146917680 149978465 151814936 153274695 155151528 162658860 163493008 168080822 171403960 171774906 175171080 179974158 180086595 181010116 184588880 189768670 192092368 193939410 200404057 204366260 205684752 214584573 216878480 221645040 226262645 227722404 229033208 232224720 239965544 240115460 245239512 252121233 257105940 258585880 265676138 271515174 276883320 284653005 286112764 286291510 288138552 299956930 303629872 306549390 310303056 316767703 325317720 336161644 342807920 343549812 350342160 357640955 359948316 360173190 362020232 372178963 379537340 387878820 398514207 400808114 408732520 420202055 429169146 429437265 449935395 452525290 455444808 458066416 479931088 480230920 490479024 504242466 514211880 517171760 531352276 543030348 553766640 569306010 572225528 572583020 576277104 588282877 599913860 601212171 613098780 633535406 650635440 664190345 672323288 678787935 687099624 715281910 719896632 720346380 724040464 744357926 759074680 775757640 797028414 801616228 817465040 840404110 858338292 858874530 899870790 905050580 910889616 929866483 950303109 960461840 1002020285 1008484932 1028423760 1062704552 1072922865 1086060696 1116536889 1138612020 1144451056 1145166040 1176565754 1199827720 1202424342 1226197560 1260606165 1267070812 1328380690 1344646576 1357575870 1374199248 1402828399 1430563820 1439793264 1440692760 1488715852 1518149360 1551515280 1583838515 1594056828 1603232456 1680808220 1716676584 1717749060 1764848631 1799741580 1810101160 1859732966 1860894815 1900606218 1992571035 2004040570 2016969864 2125409104 2145845730 2172121392 2217373921 2233073778 2277224040 2290332080 2353131508 2399655440 2404848684 2452395120 2521212330 2534141624 2605252741 2656761380 2715151740 2789599449 2805656798 2861127640 2881385520 2941414385 2977431704 3006060855 3167677030 3188113656 3206464912 3361616440 3433353168 3435498120 3529697262 3599483160 3620202320 3719465932 3721789630 3801212436 3985142070 4008081140 4033939728 4117980139 4208485197 4291691460 4434747842 4466147556 4554448080 4649332415 4706263016 4751515545 4809697368 5042424660 5068283248 5210505482 5313522760 5430303480 5579198898 5582684445 5611313596 5722255280 5882828770 5954863408 6012121710 6335354060 6376227312 6652121763 6723232880 6870996240 7014141995 7059394524 7198966320 7438931864 7443579260 7602424872 7815758223 7970284140 8016162280 8235960278 8416970394 8583382920 8824243155 8869495684 8932295112 9298664830 9412526032 9503031090 9619394736 9819798793 10084849320 10421010964 10627045520 10860606960 11086869605 11158397796 11165368890 11222627192 11765657540 12024243420 12353940417 12670708120 13026263705 13304243526 13947997245 14028283990 14118789048 14877863728 14887158520 15204849744 15631516446 15940568280 16032324560 16471920556 16833940788 17166765840 17648486310 17738991368 17864590224 18236769187 18597329660 19006062180 19639597586 20169698640 20589900695 20842021928 21042425985 22173739210 22316795592 22330737780 22445254384 23531315080 24048486840 24707880834 25341416240 26052527410 26608487052 27895994490 28056567980 28237578096 28825860973 29459396379 29774317040 31263032892 31881136560 32943841112 33260608815 33667881576 35296972620 35477982736 36473538374 37194659320 38012124360 39078791115 39279195172 41179801390 41684043856 42084851970 44347478420 44633591184 44661475560 47062630160 48096973680 49098993965 49415761668 52105054820 53216974104 54710307561 55791988980 56113135960 57651721946 58918792758 61769702085 62526065784 65887682224 66521217630 67335763152 68738591551 70593945240 72947076748 74389318640 76024248720 78157582230 78558390344 82359602780 84169703940 86477582919 88694956840 89322951120 91183845935 98197987930 98831523336 104210109640 106433948208 109420615122 111583977960 112226271920 115303443892 117837585516 123539404170 125052131568 127657384309 133042435260 137477183102 141187890480 144129304865 145894153496 147296981895 156315164460 157116780688 164719205560 168339407880 172955165838 177389913680 182367691870 196395975860 197663046672 206215774653 208420219280 218841230244 223167955920 230606887784 235675171032 247078808340 255314768618 266084870520 273551537805 274954366204 288258609730 291788306992 294593963790 312630328920 329438411120 336678815760 343692957755 345910331676 364735383740 382972152927 392791951720 412431549306 432387914595 437682460488 461213775568 471350342064 494157616680 510629537236 532169741040 547103075610 549908732408 576517219460 589187927580 625260657840 638286921545 687385915510 691820663352 729470767480 765944305854 785583903440 824863098612 864775829190 875364920976 893601690163 988315233360 1021259074472 1031078873265 1094206151220 1099817464816 1153034438920 1178375855160 1276573843090 1374771831020 1383641326704 1458941534960 1531888611708 1649726197224 1729551658380 1787203380326 1914860764635 2042518148944 2062157746530 2188412302440 2306068877840 2356751710320 2553147686180 2680805070489 2749543662040 3063777223416 3299452394448 3459103316760 3574406760652 3829721529270 4124315493060 4376824604880 4468008450815 5106295372360 5361610140978 5499087324080 6127554446832 6918206633520 7148813521304 7659443058540 8248630986120 8936016901630 10212590744720 10723220281956 13404025352445 14297627042608 15318886117080 16497261972240 17872033803260 21446440563912 26808050704890 30637772234160 35744067606520 42892881127824 53616101409780 71488135213040 107232202819560 214464405639120
- Sum of all divisors σ(n): 863103718826496
- Sum of proper divisors (its aliquot sum) s(n): 648639313187376
- 214464405639120 is an abundant number, because the sum of its proper divisors (648639313187376) is greater than itself. Its abundance is 434174907548256
Bases of 214464405639120
- Binary: 1100001100001101111000101011011100001111110100002
- Hexadecimal: 0xC30DE2B70FD0
- Base-36: 240RL5T6MO
Squares and roots of 214464405639120
- 214464405639120 squared (2144644056391202) is 45994981286141006455674374400
- 214464405639120 cubed (2144644056391203) is 9864286323914678135215803625393838166528000
-
The
square root of 214464405639120 is 14644603.2940165367 -
The
cube root of 214464405639120 is 59857.4770585339
Scales and comparisons
How big is 214464405639120?- 214,464,405,639,120 seconds is equal to 6,819,304 years, 37 weeks, 2 days, 2 hours, 52 minutes.
-
To count from 1 to 214,464,405,639,120 would take you about seventeen million, forty-eight thousand, two hundred sixty-one 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 214464405639120 cubic inches would be around 4988.1 feet tall.
Recreational maths with 214464405639120
- 214464405639120 backwards is 021936504464412
- The number of decimal digits it has is: 15
- The sum of 214464405639120's digits is 51
- More coming soon!
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The information we have on file for 214464405639120 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 214464405639120, math, Factors of 214464405639120, curriculum, school, college, exams, university, Prime factorization of 214464405639120, STEM, science, technology, engineering, physics, economics, calculator, two hundred fourteen trillion, four hundred sixty-four billion, four hundred five million, six hundred thirty-nine thousand, one hundred twenty.