2012972488800
2,012,972,488,800 is an even composite number composed of eight prime numbers multiplied together.
What does the number 2012972488800 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1728 divisors.
2012972488800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 2012972488800:
25 × 3 × 52 × 72 × 13 × 17 × 73 × 1061
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 13 × 17 × 73 × 1061)See below for interesting mathematical facts about the number 2012972488800 from the Numbermatics database.
Names of 2012972488800
- Cardinal: 2012972488800 can be written as Two trillion, twelve billion, nine hundred seventy-two million, four hundred eighty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 2.0129724888 × 1012
Factors of 2012972488800
Divisors of 2012972488800
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 17 20 21 24 25 26 28 30 32 34 35 39 40 42 48 49 50 51 52 56 60 65 68 70 73 75 78 80 84 85 91 96 98 100 102 104 105 112 119 120 130 136 140 146 147 150 156 160 168 170 175 182 195 196 200 204 208 210 219 221 224 238 240 245 255 260 272 273 280 292 294 300 312 325 336 340 350 357 364 365 390 392 400 408 416 420 425 438 442 455 476 480 490 510 511 520 525 544 546 560 584 588 595 600 624 637 650 663 672 680 700 714 728 730 735 780 784 800 816 833 840 850 876 884 910 949 952 975 980 1020 1022 1040 1050 1061 1092 1095 1105 1120 1168 1176 1190 1200 1225 1241 1248 1274 1275 1300 1326 1360 1365 1400 1428 1456 1460 1470 1533 1547 1560 1568 1632 1666 1680 1700 1752 1768 1785 1820 1825 1898 1904 1911 1950 1960 2040 2044 2080 2100 2122 2184 2190 2210 2275 2336 2352 2380 2400 2450 2482 2499 2548 2550 2555 2600 2652 2720 2730 2800 2847 2856 2912 2920 2940 2975 3066 3094 3120 3183 3185 3315 3332 3360 3400 3504 3536 3570 3577 3640 3650 3675 3723 3796 3808 3822 3900 3920 4080 4088 4165 4200 4244 4368 4380 4420 4550 4641 4704 4745 4760 4900 4964 4998 5096 5100 5110 5200 5304 5305 5460 5475 5525 5600 5694 5712 5840 5880 5950 6132 6188 6205 6240 6366 6370 6630 6643 6664 6800 6825 7008 7072 7140 7154 7280 7300 7350 7427 7446 7592 7644 7665 7735 7800 7840 8160 8176 8330 8400 8488 8687 8736 8760 8840 8925 9100 9282 9490 9520 9555 9800 9928 9996 10192 10200 10220 10400 10608 10610 10731 10829 10920 10950 11050 11388 11424 11680 11760 11900 12264 12376 12410 12495 12732 12740 12775 13260 13286 13328 13600 13650 13793 14235 14280 14308 14560 14600 14700 14854 14892 15184 15288 15330 15470 15600 15915 15925 16133 16352 16575 16660 16800 16976 17374 17520 17680 17850 17885 18037 18200 18564 18615 18980 19040 19110 19600 19856 19929 19992 20384 20400 20440 20825 21216 21220 21462 21658 21840 21900 22100 22281 22776 23205 23520 23725 23800 24528 24752 24820 24990 25464 25480 25550 26061 26520 26525 26572 26656 27300 27586 28470 28560 28616 29200 29400 29708 29784 30368 30576 30660 30940 31025 31200 31830 31850 32266 32487 33150 33215 33320 33952 34748 35040 35360 35700 35770 36074 36400 37128 37135 37230 37960 38220 38325 38675 39200 39712 39858 39984 40800 40880 41379 41650 42440 42924 43316 43435 43680 43800 44200 44562 45552 46410 46501 47450 47600 47775 48399 49056 49504 49640 49980 50928 50960 51100 51989 52122 53040 53050 53144 53655 54111 54145 54600 55172 56940 57120 57232 58400 58800 59416 59568 60809 61152 61320 61880 62050 62475 63660 63700 64532 64974 66300 66430 66640 68965 69496 71175 71400 71540 72148 72800 74256 74270 74460 75920 76440 76650 77350 77453 79575 79716 79968 80665 81760 82758 83300 84880 85848 86632 86870 87600 88400 89124 89425 90185 91104 92820 93002 93075 94900 95200 95550 96551 96798 99280 99645 99960 101856 101920 102200 103978 104244 106080 106100 106288 107310 108222 108290 109200 110344 111405 112931 113880 114464 116025 117600 118832 119136 121618 122640 123760 124100 124950 126259 127320 127400 129064 129948 130305 132600 132860 133280 137930 138992 139503 142350 142800 143080 144296 148512 148540 148920 151840 152880 153300 154700 154906 155967 159150 159432 161330 162435 165516 166075 166600 169760 171696 173264 173740 175200 176800 178248 178850 180370 182427 185640 185675 186004 186150 189800 191100 193102 193596 198560 199290 199920 204400 206895 207956 208488 212200 212576 214620 216444 216580 217175 218400 220688 222810 225862 227760 232050 232359 232505 234481 237664 241995 243236 245280 247520 248200 249900 252518 254640 254800 258128 259896 259945 260610 265200 265720 268275 270555 270725 275860 277984 279006 284700 285600 286160 288592 289653 297080 297840 304045 305760 306600 309400 309812 311934 318300 318864 322660 324870 331032 332150 333200 338793 343392 344825 346528 347480 356496 357700 360740 364854 371280 371350 372008 372300 378777 379600 382200 386204 387192 387265 398580 399840 403325 408800 413790 415912 416976 424400 429240 432888 433160 434350 441376 445620 450925 451724 455520 464100 464718 465010 468962 482755 483990 486472 496400 498225 499800 505036 509280 509600 516256 519792 519890 521220 530400 531440 536550 541110 541450 542171 551720 557025 558012 564655 569400 572320 577184 579306 594160 595680 608090 613200 618800 619624 623868 631295 636600 637728 645320 649740 651525 662064 664300 666400 675857 677586 689650 694960 697515 703443 712992 715400 721480 729708 742560 742700 744016 744600 757554 759200 764400 772408 774384 774530 779835 790517 797160 806650 812175 827580 831824 833952 848800 858480 865776 866320 868700 883813 891240 901850 903448 912135 928200 929436 930020 937924 965510 967980 972944 992800 996450 999600 1006889 1010072 1034475 1039584 1039780 1042440 1062880 1073100 1082220 1082900 1084342 1103440 1114050 1116024 1129310 1138800 1158612 1161795 1162525 1172405 1188320 1209975 1216180 1226400 1237600 1239248 1247736 1262590 1273200 1290640 1299480 1299725 1303050 1316701 1324128 1328600 1351714 1352775 1355172 1379300 1389920 1395030 1406886 1430800 1442960 1448265 1459416 1485400 1488032 1489200 1515108 1520225 1528800 1544816 1548768 1549060 1559670 1581034 1594320 1613300 1624350 1626513 1641367 1655160 1663648 1693965 1716960 1731552 1732640 1737400 1767626 1782480 1803700 1806896 1824270 1856400 1858872 1860040 1875848 1893885 1931020 1935960 1936325 1945888 1992900 1999200 2013778 2020144 2027571 2068950 2079560 2084880 2146200 2164440 2165800 2168684 2206880 2228100 2232048 2258620 2277600 2317224 2323590 2325050 2344810 2371551 2413775 2419950 2432360 2478496 2495472 2525180 2546400 2581280 2598960 2599450 2606100 2633402 2651439 2657200 2703428 2705550 2710344 2710855 2758600 2790060 2813772 2823275 2861600 2885920 2896530 2918832 2970800 2978400 3020667 3030216 3040450 3089632 3098120 3119340 3156475 3162068 3188640 3226600 3248700 3253026 3282734 3310320 3379285 3387930 3474800 3487575 3517215 3535252 3564960 3607400 3613792 3648540 3712800 3717744 3720080 3751696 3787770 3795197 3862040 3871920 3872650 3899175 3950103 3952585 3985800 4027556 4040288 4055142 4137900 4159120 4169760 4292400 4328880 4331600 4337368 4419065 4456200 4464096 4517240 4560675 4634448 4647180 4650100 4689620 4743102 4827550 4839900 4864720 4924101 4990944 5034445 5050360 5197920 5198900 5212200 5266804 5302878 5314400 5406856 5411100 5420688 5421710 5517200 5580120 5627544 5646550 5793060 5808975 5837664 5862025 5941600 6041334 6060432 6080900 6196240 6238680 6312950 6324136 6453200 6497400 6506052 6565468 6583505 6620640 6758570 6775860 6949600 6975150 7034430 7048223 7070504 7214800 7241325 7297080 7435488 7440160 7503392 7575540 7590394 7724080 7743840 7745300 7798350 7900206 7905170 7971600 8055112 8110284 8132565 8206835 8275800 8318240 8469825 8584800 8657760 8663200 8674736 8838130 8912400 9034480 9121350 9216907 9268896 9294360 9300200 9379240 9469425 9486204 9655100 9679800 9729440 9848202 10068890 10100720 10137855 10397800 10424400 10533608 10605756 10813712 10822200 10841376 10843420 11034400 11160240 11255088 11293100 11385591 11489569 11586120 11617950 11724050 11857755 12082668 12120864 12161800 12392480 12477360 12625900 12648272 12906400 12994800 13012104 13130936 13167010 13257195 13517140 13551720 13554275 13950300 14068860 14096446 14141008 14429600 14482650 14594160 15103335 15151080 15180788 15448160 15490600 15596700 15800412 15810340 15943200 16110224 16220568 16265130 16413670 16551600 16896425 16939650 17117113 17349472 17586075 17676260 17824800 18068960 18242700 18433814 18588720 18600400 18758480 18938850 18972408 18975985 19310200 19359600 19696404 19750515 19762925 20137780 20201440 20275710 20795600 20848800 21067216 21144669 21211512 21627424 21644400 21686840 22095325 22320480 22510176 22586200 22771182 22979138 23172240 23235900 23448100 23715510 24165336 24323600 24620505 24954720 25172225 25251800 25296544 25989600 26024208 26261872 26334020 26514390 27034280 27103440 27108550 27650721 27900600 28137720 28192892 28282016 28965300 29188320 30206670 30302160 30361576 30981200 31193400 31600824 31620680 32220448 32441136 32530260 32827340 32917525 33103200 33792850 33879300 34234226 34468707 35172150 35241115 35352520 36485400 36867628 37177440 37200800 37516960 37877700 37944816 37951970 38620400 38719200 39392808 39501030 39525850 40275560 40551420 40662825 41034175 41591200 42134432 42289338 42423024 43288800 43373680 44190650 45172400 45542364 45958276 46084535 46344480 46471800 46896200 47431020 48330672 48647200 49241010 49337561 50344450 50503600 50689275 51351339 52048416 52523744 52668040 53028780 54068560 54206880 54217100 55301442 55801200 56275440 56385784 56927955 57447845 57930600 59288775 60413340 60604320 60723152 61962400 62386800 63201648 63241360 64518349 64882272 65060520 65654680 65835050 66285975 67585700 67758600 68468452 68937414 70344300 70482230 70705040 72970800 73735256 75516675 75755400 75889632 75903940 77240800 78785616 79002060 79051700 80551120 81102840 81325650 82068350 84578676 84846048 85585565 86747360 88381300 90344800 91084728 91916552 92169070 92943600 93792400 94862040 94879925 96661344 98482020 98675122 98752575 100688900 101007200 101378550 102702678 105336080 105723345 106057560 108137120 108434200 110602884 111602400 112550880 112771568 113855910 114895690 115861200 118577550 119819791 120826680 121446304 123102525 124773600 126403296 126482720 129036698 130121040 131309360 131670100 132571950 135171400 135517200 136936904 137874828 138253605 140688600 140964460 141410080 145941600 147470512 148012683 151033350 151510800 151807880 157571232 158004120 158103400 161102240 162205680 162651300 164136700 169157352 171171130 172343535 176205575 176762600 182169456 183833104 184338140 185887200 187584800 189724080 189759850 193555047 196964040 197350244 197505150 201377800 202757100 205405356 210672160 211446690 212115120 216868400 221205768 225543136 227711820 229791380 230422675 231722400 237155100 239639582 241653360 246205050 246687805 256756695 258073396 260242080 262618720 263340200 265143900 270342800 271034400 273873808 275749656 276507210 281377200 281928920 284639775 287239225 294941024 296025366 302066700 303021600 303615760 316008240 316206800 322591745 324411360 325302600 328273400 338314704 342342260 344687070 352411150 353525200 359459373 364338912 367666208 368676280 379448160 379519700 387110094 393928080 394700488 395010300 402755600 405514200 410810712 422893380 424230240 427927825 433736800 442411536 455423640 459582760 460845350 474310200 479279164 483306720 492410100 493375610 513513390 516146792 526680400 528616725 530287800 540685600 547747616 551499312 553014420 562754400 563857840 569279550 574478450 592050732 599098955 604133400 607231520 632016480 632413600 645183490 650605200 656546800 676629408 684684520 689374140 691268025 704822300 707050400 718918746 737352560 740063415 759039400 774220188 787856160 789400976 790020600 805511200 811028400 821621424 838738537 845786760 855855650 861717675 884823072 910847280 919165520 921690700 948620400 958558328 967775235 984820200 986751220 1027026780 1032293584 1053360800 1057233450 1060575600 1102998624 1106028840 1127715680 1138559100 1148956900 1184101464 1198197910 1208266800 1233439025 1283783475 1290366980 1301210400 1313093600 1369369040 1378748280 1382536050 1409644600 1437837492 1474705120 1480126830 1518078800 1548440376 1578801952 1580041200 1612958725 1622056800 1643242848 1677477074 1691573520 1711711300 1723435350 1797296865 1821694560 1838331040 1843381400 1897240800 1917116656 1935550470 1969640400 1973502440 2054053560 2064587168 2114466900 2121151200 2212057680 2277118200 2297913800 2368202928 2396395820 2416533600 2466878050 2516215611 2567566950 2580733960 2738738080 2757496560 2765072100 2819289200 2875674984 2960253660 2995494775 3036157600 3096880752 3160082400 3225917450 3354954148 3383147040 3423422600 3446870700 3594593730 3686762800 3700317075 3834233312 3871100940 3939280800 3947004880 4108107120 4193692685 4228933800 4424115360 4554236400 4595827600 4736405856 4792791640 4838876175 4933756100 5032431222 5135133900 5161467920 5514993120 5530144200 5638578400 5751349968 5920507320 5990989550 6193761504 6451834900 6709908296 6846845200 6893741400 7189187460 7373525600 7400634150 7742201880 7894009760 8216214240 8387385370 8457867600 8986484325 9108472800 9191655200 9585583280 9677752350 9867512200 10064862444 10270267800 10322935840 11060288400 11502699936 11841014640 11981979100 12581078055 12903669800 13419816592 13693690400 13787482800 14378374920 14801268300 15484403760 16774770740 16915735200 17972968650 19171166560 19355504700 19735024400 20129724888 20540535600 20968463425 22120576800 23682029280 23963958200 25162156110 25807339600 26839633184 27574965600 28756749840 29602536600 30968807520 33549541480 35945937300 38711009400 39470048800 40259449776 41081071200 41936926850 47927916400 50324312220 51614679200 57513499680 59205073200 62905390275 67099082960 71891874600 77422018800 80518899552 83873853700 95855832800 100648624440 118410146400 125810780550 134198165920 143783749200 154844037600 167747707400 201297248880 251621561100 287567498400 335495414800 402594497760 503243122200 670990829600 1006486244400 2012972488800
- Sum of all divisors σ(n): 8818482705984
- Sum of proper divisors (its aliquot sum) s(n): 6805510217184
- 2012972488800 is an abundant number, because the sum of its proper divisors (6805510217184) is greater than itself. Its abundance is 4792537728384
Bases of 2012972488800
- Binary: 111010100101011101000001010011000011000002
- Hexadecimal: 0x1D4AE829860
- Base-36: POQVUGYO
Squares and roots of 2012972488800
- 2012972488800 squared (20129724888002) is 4052058240665666125440000
- 2012972488800 cubed (20129724888003) is 8156681761475315309236809795072000000
-
The
square root of 2012972488800 is 1418792.6165581777 -
The
cube root of 2012972488800 is 12626.3923335581
Scales and comparisons
How big is 2012972488800?- 2,012,972,488,800 seconds is equal to 64,006 years, 15 weeks, 3 days, 16 hours, 40 minutes.
-
To count from 1 to 2,012,972,488,800 would take you about one hundred sixty thousand and fifteen 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 2012972488800 cubic inches would be around 1052.2 feet tall.
Recreational maths with 2012972488800
- 2012972488800 backwards is 0088842792102
- 2012972488800 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 2012972488800's digits is 51
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 2012972488800 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
APA style:
Numbermatics. (2024). Number 2012972488800 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/2012972488800/
Chicago style:
Numbermatics. 2024. "Number 2012972488800 - Facts about the integer". https://numbermatics.com/n/2012972488800/
The information we have on file for 2012972488800 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 2012972488800, math, Factors of 2012972488800, curriculum, school, college, exams, university, Prime factorization of 2012972488800, STEM, science, technology, engineering, physics, economics, calculator, two trillion, twelve billion, nine hundred seventy-two million, four hundred eighty-eight thousand, eight hundred.