85321456128000
85,321,456,128,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 85321456128000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1872 divisors.
85321456128000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred seventy-two divisors.
Prime factorization of 85321456128000:
212 × 32 × 53 × 172 × 79 × 811
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 17 × 17 × 79 × 811)See below for interesting mathematical facts about the number 85321456128000 from the Numbermatics database.
Names of 85321456128000
- Cardinal: 85321456128000 can be written as Eighty-five trillion, three hundred twenty-one billion, four hundred fifty-six million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 8.5321456128 × 1013
Factors of 85321456128000
Divisors of 85321456128000
- Number of divisors d(n): 1872
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 30 32 34 36 40 45 48 50 51 60 64 68 72 75 79 80 85 90 96 100 102 120 125 128 136 144 150 153 158 160 170 180 192 200 204 225 237 240 250 255 256 272 288 289 300 306 316 320 340 360 375 384 395 400 408 425 450 474 480 500 510 512 544 576 578 600 612 632 640 680 711 720 750 765 768 790 800 811 816 850 867 900 948 960 1000 1020 1024 1088 1125 1152 1156 1185 1200 1224 1264 1275 1280 1343 1360 1422 1440 1445 1500 1530 1536 1580 1600 1622 1632 1700 1734 1800 1896 1920 1975 2000 2040 2048 2125 2176 2250 2304 2312 2370 2400 2433 2448 2528 2550 2560 2601 2686 2720 2844 2880 2890 3000 3060 3072 3160 3200 3244 3264 3400 3468 3555 3600 3792 3825 3840 3950 4000 4029 4055 4080 4096 4250 4335 4352 4500 4608 4624 4740 4800 4866 4896 5056 5100 5120 5202 5372 5440 5688 5760 5780 5925 6000 6120 6144 6320 6375 6400 6488 6528 6715 6800 6936 7110 7200 7225 7299 7584 7650 7680 7900 8000 8058 8110 8160 8500 8670 8704 9000 9216 9248 9480 9600 9732 9792 9875 10112 10200 10240 10404 10744 10880 11376 11520 11560 11850 12000 12087 12165 12240 12288 12640 12750 12800 12976 13005 13056 13430 13600 13787 13872 14220 14400 14450 14598 15168 15300 15360 15800 16000 16116 16220 16320 17000 17340 17408 17775 18000 18432 18496 18960 19125 19200 19464 19584 19750 20145 20224 20275 20400 20480 20808 21488 21675 21760 22752 22831 23040 23120 23700 24000 24174 24330 24480 25280 25500 25600 25952 26010 26112 26860 27200 27574 27744 28440 28800 28900 29196 29625 30336 30600 30720 31600 32000 32232 32440 32640 33575 34000 34680 34816 35550 36000 36125 36495 36864 36992 37920 38250 38400 38928 39168 39500 40290 40448 40550 40800 41361 41616 42976 43350 43520 45504 45662 46080 46240 47400 48000 48348 48660 48960 50560 51000 51200 51904 52020 52224 53720 54400 55148 55488 56880 57600 57800 58392 59250 60435 60672 60825 61200 61440 63200 64000 64069 64464 64880 65025 65280 67150 68000 68493 68935 69360 69632 71100 72000 72250 72990 73984 75840 76500 76800 77856 78336 79000 80580 80896 81100 81600 82722 83232 85952 86700 87040 88875 91008 91324 92160 92480 94800 96000 96696 97320 97920 100725 101120 101375 102000 102400 103808 104040 104448 107440 108375 108800 110296 110976 113760 114155 115200 115600 116784 118500 120870 121344 121650 122400 124083 126400 128000 128138 128928 129760 130050 130560 134300 136000 136986 137870 138720 142200 144000 144500 145980 147968 151680 153000 153600 155712 156672 158000 161160 161792 162200 163200 165444 166464 167875 171904 173400 174080 177750 182016 182475 182648 184320 184960 189600 192000 192207 193392 194640 195840 201450 202240 202750 204000 205479 206805 207616 208080 208896 214880 216750 217600 220592 221952 227520 228310 230400 231200 233568 234379 237000 241740 242688 243300 244800 248166 252800 256000 256276 257856 259520 260100 261120 268600 272000 273972 275740 277440 284400 288000 289000 291960 295936 302175 303360 304125 306000 307200 311424 313344 316000 320345 322320 323584 324400 325125 326400 330888 332928 335750 342465 343808 344675 346800 348160 355500 364032 364950 365296 369920 379200 384000 384414 386784 389280 391680 402900 404480 405500 408000 410958 413610 415232 416160 429760 433500 435200 441184 443904 455040 456620 460800 462400 467136 468758 474000 483480 485376 486600 489600 496332 503625 505600 512000 512552 515712 519040 520200 522240 537200 544000 547944 551480 554880 568800 570775 576000 576621 578000 583920 591872 604350 606720 608250 612000 620415 622848 626688 632000 640690 644640 648800 650250 652800 661776 665856 671500 684930 687616 689350 693600 703137 711000 728064 729900 730592 739840 758400 768000 768828 773568 778560 783360 805800 808960 811000 816000 821916 827220 830464 832320 859520 867000 870400 882368 887808 910080 912375 913240 921600 924800 934272 937516 948000 961035 966960 970752 973200 979200 992664 1007250 1011200 1025104 1027395 1031424 1034025 1038080 1040400 1044480 1074400 1088000 1089173 1095888 1102960 1109760 1137600 1141550 1152000 1153242 1156000 1167840 1171895 1183744 1208700 1213440 1216500 1224000 1240830 1245696 1264000 1281380 1289280 1297600 1300500 1305600 1323552 1331712 1343000 1369860 1375232 1378700 1387200 1406274 1422000 1456128 1459800 1461184 1479680 1510875 1516800 1536000 1537656 1547136 1557120 1566720 1601725 1611600 1617920 1622000 1632000 1643832 1654440 1660928 1664640 1712325 1719040 1723375 1734000 1740800 1764736 1775616 1820160 1824750 1826480 1849600 1868544 1875032 1896000 1922070 1933920 1946400 1958400 1985328 2014500 2022400 2050208 2054790 2062848 2068050 2076160 2080800 2109411 2148800 2176000 2178346 2191776 2205920 2219520 2275200 2283100 2304000 2306484 2312000 2335680 2343790 2417400 2426880 2433000 2448000 2481660 2491392 2528000 2562760 2578560 2595200 2601000 2611200 2647104 2663424 2686000 2739720 2750464 2757400 2774400 2812548 2844000 2853875 2883105 2912256 2919600 2922368 2959360 3021750 3033600 3075312 3094272 3102075 3114240 3133440 3203450 3223200 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21917760 22059200 22195200 22500384 22752000 22831000 23064840 23356800 23378944 23437900 24025875 24174000 24268800 24602496 24754176 24816600 24913920 25627600 25684875 25785600 25952000 26112000 26140152 26301312 26471040 26634240 27229325 27397200 27504640 27574000 27744000 28125480 28235776 28831050 29196000 29223680 29297375 29593600 29896704 30000512 30336000 30753120 30942720 31020750 31142400 31765248 32034500 32232000 32675190 32803328 32876640 33088800 33292800 33750576 34246500 34380800 34853536 35068416 35156850 35294720 36403200 36529600 36903744 36992000 37031882 37370880 37500640 38441400 38678400 38928000 39168000 39210228 39706560 40448000 41004160 41095800 41256960 41361000 41523200 41616000 42188220 42353664 42976000 43566920 43835520 44118400 44390400 45000768 45504000 45662000 46129680 46713600 46757888 46875800 48051750 48348000 49012785 49204992 49508352 49633200 49827840 51255200 51369750 51571200 51904000 52280304 52602624 52735275 52942080 53268480 54458650 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33750576000 34853536000 35068416000 35550606720 36000614400 36903744000 37031882000 37920647168 39210228000 40151273472 41660867250 41824243200 42660728064 43200737280 44438258400 45000768000 47400808960 49204992000 50189091840 52280304000 52602624000 53325910080 54000921600 55547823000 55765657600 56880970752 59045990400 59251011200 60001024000 62736364800 63530496000 66657387600 66918789120 67501152000 69707072000 71101213440 72001228800 73807488000 74063764000 75841294336 78420456000 83321734500 83648486400 85321456128 88876516800 90001536000 94801617920 98409984000 100378183680 104560608000 105205248000 106651820160 108001843200 111095646000 111531315200 113761941504 118502022400 120002048000 125472729600 133314775200 135002304000 139414144000 142202426880 147614976000 148127528000 156840912000 166643469000 167296972800 170642912256 177753033600 180003072000 189603235840 200756367360 209121216000 213303640320 216003686400 222191292000 227523883008 237004044800 250945459200 266629550400 270004608000 278828288000 284404853760 295229952000 296255056000 313681824000 333286938000 334593945600 341285824512 355506067200 360006144000 379206471680 418242432000 426607280640 444382584000 474008089600 501890918400 533259100800 540009216000 557656576000 568809707520 592510112000 627363648000 666573876000 682571649024 711012134400 836484864000 853214561280 888765168000 948016179200 1003781836800 1066518201600 1080018432000 1137619415040 1185020224000 1254727296000 1333147752000 1422024268800 1672969728000 1706429122560 1777530336000 1896032358400 2133036403200 2370040448000 2509454592000 2666295504000 2844048537600 3412858245120 3555060672000 4266072806400 4740080896000 5018909184000 5332591008000 5688097075200 7110121344000 8532145612800 9480161792000 10665182016000 14220242688000 17064291225600 21330364032000 28440485376000 42660728064000 85321456128000
- Sum of all divisors σ(n): 331275461986560
- Sum of proper divisors (its aliquot sum) s(n): 245954005858560
- 85321456128000 is an abundant number, because the sum of its proper divisors (245954005858560) is greater than itself. Its abundance is 160632549730560
Bases of 85321456128000
- Binary: 100110110011001011100110001010110010000000000002
- Hexadecimal: 0x4D9973159000
- Base-36: U8S4W1KW0
Squares and roots of 85321456128000
- 85321456128000 squared (853214561280002) is 7279750875802228752384000000
- 85321456128000 cubed (853214561280003) is 621118944972529437301151631409152000000000
-
The
square root of 85321456128000 is 9236961.4120661995 -
The
cube root of 85321456128000 is 44023.6539702831
Scales and comparisons
How big is 85321456128000?- 85,321,456,128,000 seconds is equal to 2,712,958 years, 20 weeks, 1 day, 8 hours.
-
To count from 1 to 85,321,456,128,000 would take you about six million, seven hundred eighty-two thousand, three hundred ninety-five 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 85321456128000 cubic inches would be around 3668.6 feet tall.
Recreational maths with 85321456128000
- 85321456128000 backwards is 00082165412358
- 85321456128000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 85321456128000's digits is 45
- More coming soon!
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The information we have on file for 85321456128000 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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