12988571904000
12,988,571,904,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 12988571904000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
12988571904000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 12988571904000:
211 × 32 × 53 × 72 × 11 × 10459
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 11 × 10459)See below for interesting mathematical facts about the number 12988571904000 from the Numbermatics database.
Names of 12988571904000
- Cardinal: 12988571904000 can be written as Twelve trillion, nine hundred eighty-eight billion, five hundred seventy-one million, nine hundred four thousand.
Scientific notation
- Scientific notation: 1.2988571904 × 1013
Factors of 12988571904000
Divisors of 12988571904000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 28 30 32 33 35 36 40 42 44 45 48 49 50 55 56 60 63 64 66 70 72 75 77 80 84 88 90 96 98 99 100 105 110 112 120 125 126 128 132 140 144 147 150 154 160 165 168 175 176 180 192 196 198 200 210 220 224 225 231 240 245 250 252 256 264 275 280 288 294 300 308 315 320 330 336 350 352 360 375 384 385 392 396 400 420 440 441 448 450 462 480 490 495 500 504 512 525 528 539 550 560 576 588 600 616 630 640 660 672 693 700 704 720 735 750 768 770 784 792 800 825 840 875 880 882 896 900 924 960 980 990 1000 1008 1024 1050 1056 1078 1100 1120 1125 1152 1155 1176 1200 1225 1232 1260 1280 1320 1344 1375 1386 1400 1408 1440 1470 1500 1536 1540 1568 1575 1584 1600 1617 1650 1680 1750 1760 1764 1792 1800 1848 1920 1925 1960 1980 2000 2016 2048 2100 2112 2156 2200 2205 2240 2250 2304 2310 2352 2400 2450 2464 2475 2520 2560 2625 2640 2688 2695 2750 2772 2800 2816 2880 2940 3000 3072 3080 3136 3150 3168 3200 3234 3300 3360 3465 3500 3520 3528 3584 3600 3675 3696 3840 3850 3920 3960 4000 4032 4125 4200 4224 4312 4400 4410 4480 4500 4608 4620 4704 4800 4851 4900 4928 4950 5040 5120 5250 5280 5376 5390 5500 5544 5600 5632 5760 5775 5880 6000 6125 6144 6160 6272 6300 6336 6400 6468 6600 6720 6930 7000 7040 7056 7168 7200 7350 7392 7680 7700 7840 7875 7920 8000 8064 8085 8250 8400 8448 8624 8800 8820 8960 9000 9216 9240 9408 9600 9625 9702 9800 9856 9900 10080 10240 10459 10500 10560 10752 10780 11000 11025 11088 11200 11264 11520 11550 11760 12000 12250 12320 12375 12544 12600 12672 12800 12936 13200 13440 13475 13860 14000 14080 14112 14336 14400 14700 14784 15360 15400 15680 15750 15840 16000 16128 16170 16500 16800 16896 17248 17325 17600 17640 17920 18000 18375 18432 18480 18816 19200 19250 19404 19600 19712 19800 20160 20918 21000 21120 21504 21560 22000 22050 22176 22400 22528 23040 23100 23520 24000 24255 24500 24640 24750 25088 25200 25344 25600 25872 26400 26880 26950 27720 28000 28160 28224 28800 28875 29400 29568 30720 30800 31360 31377 31500 31680 32000 32256 32340 33000 33600 33792 34496 34650 35200 35280 35840 36000 36750 36960 37632 38400 38500 38808 39200 39424 39600 40320 40425 41836 42000 42240 43008 43120 44000 44100 44352 44800 46080 46200 47040 48000 48510 49000 49280 49500 50176 50400 50688 51200 51744 52295 52800 53760 53900 55125 55440 56000 56320 56448 57600 57750 58800 59136 61600 62720 62754 63000 63360 64000 64512 64680 66000 67200 67375 67584 68992 69300 70400 70560 71680 72000 73213 73500 73920 75264 76800 77000 77616 78400 78848 79200 80640 80850 83672 84000 84480 86240 86625 88000 88200 88704 89600 92160 92400 94080 94131 96000 97020 98000 98560 99000 100352 100800 101376 103488 104590 105600 107520 107800 110250 110880 112000 112640 112896 115049 115200 115500 117600 118272 121275 123200 125440 125508 126000 126720 128000 129024 129360 132000 134400 134750 137984 138600 140800 141120 144000 146426 147000 147840 150528 153600 154000 155232 156800 156885 157696 158400 161280 161700 167344 168000 168960 172480 173250 176000 176400 177408 179200 184800 188160 188262 192000 194040 196000 197120 198000 201600 202125 202752 206976 209180 211200 215040 215600 219639 220500 221760 224000 225792 230098 230400 231000 235200 236544 242550 246400 250880 251016 252000 253440 256000 258720 261475 264000 268800 269500 275968 277200 281600 282240 288000 292852 294000 295680 301056 308000 310464 313600 313770 316800 322560 323400 334688 336000 337920 344960 345147 346500 352000 352800 354816 358400 366065 369600 376320 376524 384000 388080 392000 394240 396000 403200 404250 413952 418360 422400 431200 439278 441000 443520 448000 451584 460196 460800 462000 470400 470655 473088 485100 492800 501760 502032 504000 506880 512491 517440 522950 528000 537600 539000 551936 554400 563200 564480 575245 576000 585704 588000 591360 606375 616000 620928 627200 627540 633600 645120 646800 658917 669376 672000 689920 690294 693000 704000 705600 709632 732130 739200 752640 753048 768000 776160 784000 784425 788480 792000 805343 806400 808500 827904 836720 844800 862400 878556 882000 887040 896000 903168 920392 924000 940800 941310 970200 985600 1004064 1008000 1013760 1024982 1034880 1035441 1045900 1056000 1075200 1078000 1098195 1103872 1108800 1128960 1150490 1152000 1171408 1176000 1182720 1212750 1232000 1241856 1254400 1255080 1267200 1293600 1307375 1317834 1338752 1344000 1379840 1380588 1386000 1408000 1411200 1419264 1464260 1478400 1505280 1506096 1537473 1552320 1568000 1568850 1584000 1610686 1612800 1617000 1655808 1673440 1689600 1724800 1725735 1757112 1764000 1774080 1792000 1830325 1840784 1848000 1881600 1882620 1940400 1971200 2008128 2016000 2049964 2069760 2070882 2091800 2112000 2156000 2196390 2217600 2257920 2300980 2304000 2342816 2352000 2353275 2365440 2416029 2425500 2464000 2483712 2508800 2510160 2534400 2562455 2587200 2614750 2635668 2677504 2688000 2759680 2761176 2772000 2816000 2822400 2876225 2928520 2956800 3012192 3074946 3104640 3136000 3137700 3168000 3221372 3225600 3234000 3294585 3311616 3346880 3449600 3451470 3514224 3528000 3548160 3660650 3681568 3696000 3763200 3765240 3880800 3922125 3942400 4016256 4026715 4032000 4099928 4139520 4141764 4183600 4224000 4312000 4392780 4435200 4515840 4601960 4612419 4685632 4704000 4706550 4832058 4851000 4928000 4967424 5020320 5068800 5124910 5174400 5177205 5229500 5271336 5355008 5376000 5490975 5519360 5522352 5544000 5637401 5644800 5752450 5857040 5913600 6024384 6149892 6209280 6272000 6275400 6336000 6442744 6468000 6589170 6693760 6899200 6902940 7028448 7056000 7096320 7248087 7321300 7363136 7392000 7526400 7530480 7687365 7761600 7844250 8032512 8053430 8064000 8199856 8279040 8283528 8367200 8448000 8624000 8628675 8785560 8870400 9151625 9203920 9224838 9371264 9408000 9413100 9664116 9702000 9856000 9934848 10040640 10249820 10348800 10354410 10459000 10542672 10710016 10981950 11044704 11088000 11274802 11289600 11504900 11714080 11766375 11827200 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38808000 40162560 40267150 40999280 41395200 41417640 41836000 42170688 43143375 43927800 44178816 44352000 45099208 46019600 46124190 46856320 47065500 48195072 48320580 49199136 49674240 50203200 50736609 51249100 51541952 51744000 51772050 52713360 53550080 54909750 55223520 56227584 56374010 56448000 57524500 57984696 58570400 58905088 59136000 60243840 60400725 61498920 62092800 62754000 64061375 64260096 64427440 65598848 65891700 66268224 66937600 67648812 68992000 69029400 70284480 72480870 73213000 73631360 73798704 74970112 75304800 76873650 77312928 77616000 80325120 80534300 81998560 82364625 82790400 82835280 83672000 84341376 84561015 86286750 87855600 88357632 88704000 90198416 92039200 92248380 93712640 94131000 96390144 96641160 98398272 100406400 100667875 101473218 102498200 103083904 103488000 103544100 105426720 107100160 109819500 110447040 112455168 112748020 112896000 115049000 115310475 115969392 117140800 117810176 120487680 120801450 122997840 124185600 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368156800 368993520 374850560 376524000 384368250 386564640 393593088 401625600 402671500 405892872 409992800 412335616 413952000 414176400 421706880 422805075 439278000 441788160 449820672 450992080 460196000 461241900 463877568 468563200 481950720 483205800 491991360 502032000 507366090 512491000 515419520 517720500 524790784 527133600 530145792 535500800 541190496 552235200 562275840 563740100 576552375 579846960 585704000 589050880 590389632 602438400 604007250 614989200 618503424 620928000 644274400 655988480 658917000 662682240 669376000 674731008 676488120 690294000 702844800 704675125 706861056 721587328 724808700 736313600 737987040 749701120 753048000 768736500 773129280 787186176 803251200 805343000 811785744 819985600 824671232 828352800 843413760 845610150 878556000 883576320 901984160 906010875 920392000 922483800 927755136 937126400 963901440 966411600 983982720 1004064000 1014732180 1024982000 1030839040 1035441000 1049581568 1054267200 1060291584 1082380992 1104470400 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3373655040 3382440600 3514224000 3534305280 3607936640 3624043500 3681568000 3689935200 3711020544 3748505600 3865646400 3935930880 4016256000 4058928720 4099928000 4123356160 4141764000 4217068800 4228050750 4329523968 4417881600 4509920800 4612419000 4638775680 4685632000 4723117056 4819507200 4832058000 4919913600 4948027392 5073660900 5154195200 5247907840 5271336000 5301457920 5411904960 5522352000 5622758400 5637401000 5772698624 5798469600 5890508800 5903896320 6024384000 6149892000 6185034240 6342076125 6442744000 6494285952 6559884800 6626822400 6747310080 6764881200 7028448000 7215873280 7248087000 7363136000 7379870400 7422041088 7731292800 7871861760 8032512000 8117857440 8199856000 8246712320 8283528000 8434137600 8456101500 8659047936 8835763200 9019841600 9224838000 9277551360 9371264000 9446234112 9664116000 9839827200 10147321800 10308390400 10542672000 10602915840 10823809920 11044704000 11245516800 11274802000 11545397248 11596939200 11807792640 12048768000 12299784000 12370068480 12684152250 12885488000 12988571904 13119769600 13253644800 13529762400 14056896000 14431746560 14496174000 14726272000 14759740800 14844082176 15462585600 15743723520 16235714880 16399712000 16567056000 16868275200 16912203000 17318095872 17671526400 18039683200 18449676000 18555102720 18742528000 19328232000 19679654400 20294643600 20616780800 21085344000 21647619840 22089408000 22549604000 23193878400 23615585280 24097536000 24599568000 24740136960 25368304500 25770976000 25977143808 26239539200 26507289600 27059524800 28113792000 28863493120 28992348000 29452544000 29519481600 30925171200 32471429760 32799424000 33134112000 33736550400 33824406000 34636191744 36079366400 36899352000 37110205440 38656464000 39359308800 40589287200 41233561600 42170688000 43295239680 44178816000 45099208000 46387756800 47231170560 49199136000 50736609000 51541952000 51954287616 53014579200 54119049600 56227584000 57726986240 57984696000 59038963200 61850342400 64942859520 65598848000 66268224000 67648812000 72158732800 73798704000 74220410880 77312928000 78718617600 81178574400 84341376000 86590479360 88357632000 90198416000 92775513600 98398272000 101473218000 103083904000 103908575232 108238099200 115969392000 118077926400 123700684800 129885719040 131197696000 132536448000 135297624000 144317465600 147597408000 154625856000 162357148800 168682752000 173180958720 180396832000 185551027200 196796544000 202946436000 206167808000 216476198400 231938784000 236155852800 259771438080 265072896000 270595248000 288634931200 295194816000 309251712000 324714297600 360793664000 371102054400 393593088000 405892872000 432952396800 463877568000 519542876160 541190496000 590389632000 618503424000 649428595200 721587328000 811785744000 865904793600 927755136000 1082380992000 1180779264000 1298857190400 1443174656000 1623571488000 1855510272000 2164761984000 2597714380800 3247142976000 4329523968000 6494285952000 12988571904000
- Sum of all divisors σ(n): 59416852622400
- Sum of proper divisors (its aliquot sum) s(n): 46428280718400
- 12988571904000 is an abundant number, because the sum of its proper divisors (46428280718400) is greater than itself. Its abundance is 33439708814400
Bases of 12988571904000
- Binary: 101111010000001000110011011011101000000000002
- Hexadecimal: 0xBD02336E800
- Base-36: 4LQV8CU80
Squares and roots of 12988571904000
- 12988571904000 squared (129885719040002) is 168703000105378185216000000
- 12988571904000 cubed (129885719040003) is 2191211047289224135791045771264000000000
-
The
square root of 12988571904000 is 3603966.1352460015 -
The
cube root of 12988571904000 is 23506.4547858159
Scales and comparisons
How big is 12988571904000?- 12,988,571,904,000 seconds is equal to 412,996 years, 21 weeks, 2 days, 8 hours.
-
To count from 1 to 12,988,571,904,000 would take you about one million, thirty-two thousand, four hundred ninety-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 12988571904000 cubic inches would be around 1958.9 feet tall.
Recreational maths with 12988571904000
- 12988571904000 backwards is 00040917588921
- The number of decimal digits it has is: 14
- The sum of 12988571904000's digits is 54
- More coming soon!
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MLA style:
"Number 12988571904000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 12988571904000 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/12988571904000/
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The information we have on file for 12988571904000 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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