12828175488000
12,828,175,488,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 12828175488000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1188 divisors.
12828175488000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred eighty-eight divisors.
Prime factorization of 12828175488000:
210 × 32 × 53 × 472 × 712
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 47 × 47 × 71 × 71)See below for interesting mathematical facts about the number 12828175488000 from the Numbermatics database.
Names of 12828175488000
- Cardinal: 12828175488000 can be written as Twelve trillion, eight hundred twenty-eight billion, one hundred seventy-five million, four hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 1.2828175488 × 1013
Factors of 12828175488000
Divisors of 12828175488000
- Number of divisors d(n): 1188
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 47 48 50 60 64 71 72 75 80 90 94 96 100 120 125 128 141 142 144 150 160 180 188 192 200 213 225 235 240 250 256 282 284 288 300 320 355 360 375 376 384 400 423 426 450 470 480 500 512 564 568 576 600 639 640 705 710 720 750 752 768 800 846 852 900 940 960 1000 1024 1065 1125 1128 1136 1152 1175 1200 1278 1280 1410 1420 1440 1500 1504 1536 1600 1692 1704 1775 1800 1880 1920 2000 2115 2130 2209 2250 2256 2272 2304 2350 2400 2556 2560 2820 2840 2880 3000 3008 3072 3195 3200 3337 3384 3408 3525 3550 3600 3760 3840 4000 4230 4260 4418 4500 4512 4544 4608 4700 4800 5041 5112 5120 5325 5640 5680 5760 5875 6000 6016 6390 6400 6627 6674 6768 6816 7050 7100 7200 7520 7680 8000 8460 8520 8836 8875 9000 9024 9088 9216 9400 9600 10011 10082 10224 10575 10650 11045 11280 11360 11520 11750 12000 12032 12780 12800 13254 13348 13536 13632 14100 14200 14400 15040 15123 15360 15975 16000 16685 16920 17040 17625 17672 17750 18000 18048 18176 18800 19200 19881 20022 20164 20448 21150 21300 22090 22560 22720 23040 23500 24000 24064 25205 25560 25600 26508 26625 26696 27072 27264 28200 28400 28800 30033 30080 30246 31950 32000 33135 33370 33840 34080 35250 35344 35500 36000 36096 36352 37600 38400 39762 40044 40328 40896 42300 42600 44180 45120 45369 45440 46080 47000 48000 48128 50055 50410 51120 52875 53016 53250 53392 54144 54528 55225 56400 56800 57600 60066 60160 60492 63900 64000 66270 66740 67680 68160 70500 70688 71000 72000 72192 72704 75200 75615 76800 79524 79875 80088 80656 81792 83425 84600 85200 88360 90240 90738 90880 94000 96000 99405 100110 100820 102240 105750 106032 106500 106784 108288 109056 110450 112800 113600 115200 120132 120320 120984 126025 127800 128000 132540 133480 135360 136320 141000 141376 142000 144000 144384 150165 150400 151230 156839 159048 159750 160176 161312 163584 165675 166850 169200 170400 176720 180480 181476 181760 188000 192000 198810 200220 201640 204480 211500 212064 213000 213568 216576 218112 220900 225600 226845 227200 230400 236927 240264 240640 241968 250275 252050 255600 265080 266960 270720 272640 276125 282000 282752 284000 288000 300330 300800 302460 313678 318096 319500 320352 322624 327168 331350 333700 338400 340800 353440 360960 362952 363520 376000 378075 384000 397620 400440 403280 408960 417125 423000 424128 426000 427136 433152 441800 451200 453690 454400 470517 473854 480528 483936 497025 500550 504100 511200 530160 533920 541440 545280 552250 564000 565504 568000 576000 600660 601600 604920 627356 630125 636192 639000 640704 645248 654336 662700 667400 676800 681600 706880 710781 721920 725904 750825 752000 756150 784195 795240 800880 806560 817920 828375 834250 846000 848256 852000 854272 883600 902400 907380 908800 941034 947708 961056 967872 994050 1001100 1008200 1022400 1060320 1067840 1082880 1090560 1104500 1128000 1131008 1134225 1136000 1152000 1184635 1201320 1203200 1209840 1251375 1254712 1260250 1272384 1278000 1281408 1290496 1325400 1334800 1353600 1363200 1411551 1413760 1421562 1451808 1501650 1504000 1512300 1568390 1590480 1601760 1613120 1635840 1656750 1668500 1692000 1696512 1704000 1708544 1767200 1804800 1814760 1817600 1882068 1890375 1895416 1922112 1935744 1988100 2002200 2016400 2044800 2120640 2132343 2135680 2165760 2209000 2256000 2262016 2268450 2272000 2352585 2369270 2402640 2419680 2485125 2502750 2509424 2520500 2544768 2556000 2562816 2580992 2650800 2669600 2707200 2726400 2823102 2827520 2843124 2903616 3003300 3008000 3024600 3136780 3180960 3203520 3226240 3271680 3313500 3337000 3384000 3393024 3408000 3417088 3534400 3553905 3609600 3629520 3754125 3764136 3780750 3790832 3844224 3871488 3920975 3976200 4004400 4032800 4089600 4241280 4264686 4271360 4418000 4512000 4536900 4544000 4705170 4738540 4805280 4839360 4970250 5005500 5018848 5041000 5089536 5112000 5125632 5161984 5301600 5339200 5414400 5452800 5646204 5655040 5671125 5686248 5807232 5923175 6006600 6016000 6049200 6273560 6361920 6407040 6452480 6627000 6674000 6768000 6786048 6816000 7057755 7068800 7107810 7259040 7508250 7528272 7561500 7581664 7688448 7742976 7841950 7952400 8008800 8065600 8179200 8482560 8529372 8542720 8836000 9024000 9073800 9088000 9410340 9477080 9610560 9678720 9940500 10011000 10037696 10082000 10179072 10224000 10251264 10603200 10661715 10678400 10828800 11135569 11292408 11310080 11342250 11372496 11614464 11762925 11846350 12013200 12098400 12547120 12723840 12814080 12904960 13254000 13348000 13536000 13632000 14115510 14137600 14215620 14518080 15016500 15056544 15123000 15163328 15376896 15485952 15683900 15904800 16017600 16131200 16358400 16965120 17058744 17085440 17672000 17769525 18048000 18147600 18820680 18954160 19221120 19357440 19604875 19881000 20022000 20075392 20164000 20358144 20448000 21206400 21323430 21356800 22271138 22584816 22684500 22744992 23228928 23525850 23692700 24026400 24196800 25094240 25447680 25628160 25809920 26508000 26696000 27072000 27264000 28231020 28275200 28431240 29036160 29615875 30033000 30113088 30246000 30326656 30753792 31367800 31809600 32035200 32262400 33406707 33930240 34117488 35288775 35344000 35539050 36295200 37641360 37908320 38442240 38714880 39209750 39762000 40044000 40150784 40328000 40896000 42412800 42646860 42713600 44542276 45169632 45369000 45489984 46457856 47051700 47385400 48052800 48393600 50188480 50895360 51256320 53016000 53308575 53392000 54144000 55677845 56462040 56550400 56862480 58072320 58814625 59231750 60066000 60226176 60492000 60653312 62735600 63619200 64070400 64524800 66813414 68234976 70577550 70688000 71078100 72590400 75282720 75816640 76884480 77429760 78419500 79524000 80088000 80301568 80656000 81792000 84825600 85293720 85427200 88847625 89084552 90339264 90738000 90979968 94103400 94770800 96105600 96787200 100220121 100376960 101790720 106032000 106617150 106784000 111355690 112924080 113724960 116144640 117629250 118463500 120132000 120452352 120984000 121306624 125471200 127238400 128140800 129049600 133626828 136469952 141155100 141376000 142156200 145180800 150565440 151633280 153768960 156839000 159048000 160176000 160603136 161312000 167033535 169651200 170587440 176443875 177695250 178169104 180678528 181476000 181959936 188206800 189541600 192211200 193574400 200440242 200753920 212064000 213234300 213568000 222711380 225848160 227449920 232289280 235258500 236927000 240264000 240904704 241968000 242613248 250942400 254476800 256281600 266542875 267253656 272939904 278389225 282310200 282752000 284312400 290361600 301130880 303266560 313678000 318096000 320352000 322624000 334067070 341174880 352887750 355390500 356338208 361357056 362952000 363919872 376413600 379083200 384422400 387148800 400880484 401507840 424128000 426468600 427136000 445422760 451696320 454899840 470517000 473854000 480528000 481809408 483936000 501100605 501884800 508953600 533085750 534507312 545879808 556778450 564620400 568624800 580723200 602261760 606533120 627356000 636192000 640704000 645248000 668134140 682349760 705775500 710781000 712676416 722714112 725904000 727839744 752827200 758166400 768844800 801760968 803015680 835167675 848256000 852937200 890845520 903392640 909799680 941034000 947708000 961056000 967872000 1002201210 1003769600 1066171500 1069014624 1091759616 1113556900 1129240800 1137249600 1161446400 1204523520 1213066240 1254712000 1272384000 1281408000 1336268280 1364699520 1391946125 1411551000 1421562000 1425352832 1445428224 1451808000 1505654400 1516332800 1603521936 1670335350 1705874400 1781691040 1806785280 1819599360 1882068000 1895416000 1922112000 1935744000 2004402420 2007539200 2132343000 2138029248 2183519232 2227113800 2258481600 2274499200 2409047040 2505503025 2509424000 2544768000 2672536560 2729399040 2783892250 2823102000 2843124000 2850705664 2903616000 3011308800 3032665600 3207043872 3340670700 3411748800 3563382080 3613570560 3639198720 3764136000 3790832000 3844224000 4008804840 4015078400 4175838375 4264686000 4276058496 4454227600 4516963200 4548998400 5011006050 5018848000 5345073120 5458798080 5567784500 5646204000 5686248000 5701411328 5807232000 6022617600 6065331200 6414087744 6681341400 6823497600 7126764160 7227141120 7528272000 7581664000 8017609680 8351676750 8529372000 8552116992 8908455200 9033926400 9097996800 10022012100 10037696000 10690146240 10917596160 11135569000 11292408000 11372496000 11402822656 12045235200 12527515125 12828175488 13362682800 13646995200 14253528320 15056544000 15163328000 16035219360 16703353500 17058744000 17104233984 17816910400 18067852800 18195993600 20044024200 20075392000 21380292480 22271138000 22584816000 22744992000 25055030250 25656350976 26725365600 27293990400 28507056640 30113088000 30326656000 32070438720 33406707000 34117488000 34208467968 35633820800 36135705600 40088048400 42760584960 44542276000 45169632000 45489984000 50110060500 51312701952 53450731200 54587980800 57014113280 60226176000 64140877440 66813414000 68234976000 71267641600 80176096800 85521169920 89084552000 90339264000 90979968000 100220121000 102625403904 106901462400 128281754880 133626828000 136469952000 142535283200 160352193600 171042339840 178169104000 180678528000 200440242000 213802924800 256563509760 267253656000 272939904000 285070566400 320704387200 356338208000 400880484000 427605849600 513127019520 534507312000 641408774400 712676416000 801760968000 855211699200 1069014624000 1282817548800 1425352832000 1603521936000 2138029248000 2565635097600 3207043872000 4276058496000 6414087744000 12828175488000
- Sum of all divisors σ(n): 47906356843956
- Sum of proper divisors (its aliquot sum) s(n): 35078181355956
- 12828175488000 is an abundant number, because the sum of its proper divisors (35078181355956) is greater than itself. Its abundance is 22250005867956
Bases of 12828175488000
- Binary: 101110101010110010101101011111010100000000002
- Hexadecimal: 0xBAACAD7D400
- Base-36: 4JP6KGZK0
Squares and roots of 12828175488000
- 12828175488000 squared (128281754880002) is 164562086350924038144000000
- 12828175488000 cubed (128281754880003) is 2111031322381063112268837814272000000000
-
The
square root of 12828175488000 is 3581644.2436400631 -
The
cube root of 12828175488000 is 23409.2929996935
Scales and comparisons
How big is 12828175488000?- 12,828,175,488,000 seconds is equal to 407,896 years, 15 weeks, 4 days, 8 hours.
-
To count from 1 to 12,828,175,488,000 would take you about one million, nineteen thousand, seven hundred forty 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 12828175488000 cubic inches would be around 1950.8 feet tall.
Recreational maths with 12828175488000
- 12828175488000 backwards is 00088457182821
- The number of decimal digits it has is: 14
- The sum of 12828175488000's digits is 54
- More coming soon!
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The information we have on file for 12828175488000 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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