12974813030400
12,974,813,030,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 12974813030400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
12974813030400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 12974813030400:
211 × 3 × 52 × 132 × 41 × 73 × 167
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 13 × 41 × 73 × 167)See below for interesting mathematical facts about the number 12974813030400 from the Numbermatics database.
Names of 12974813030400
- Cardinal: 12974813030400 can be written as Twelve trillion, nine hundred seventy-four billion, eight hundred thirteen million, thirty thousand, four hundred.
Scientific notation
- Scientific notation: 1.29748130304 × 1013
Factors of 12974813030400
Divisors of 12974813030400
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 41 48 50 52 60 64 65 73 75 78 80 82 96 100 104 120 123 128 130 146 150 156 160 164 167 169 192 195 200 205 208 219 240 246 256 260 292 300 312 320 325 328 334 338 365 384 390 400 410 416 438 480 492 501 507 512 520 533 584 600 615 624 640 650 656 668 676 730 768 780 800 820 832 835 845 876 949 960 975 984 1002 1014 1024 1025 1040 1066 1095 1168 1200 1230 1248 1280 1300 1312 1336 1352 1460 1536 1560 1599 1600 1640 1664 1670 1690 1752 1825 1898 1920 1950 1968 2004 2028 2048 2050 2080 2132 2171 2190 2336 2400 2460 2496 2505 2535 2560 2600 2624 2665 2672 2704 2847 2920 2993 3072 3075 3120 3198 3200 3280 3328 3340 3380 3504 3650 3796 3840 3900 3936 4008 4056 4100 4160 4175 4225 4264 4342 4380 4672 4745 4800 4920 4992 5010 5070 5120 5200 5248 5330 5344 5408 5475 5694 5840 5986 6144 6150 6240 6396 6400 6513 6560 6656 6680 6760 6847 6929 7008 7300 7592 7680 7800 7872 7995 8016 8112 8200 8320 8350 8450 8528 8684 8760 8979 9344 9490 9600 9840 9984 10020 10140 10240 10400 10496 10660 10688 10816 10855 10950 11388 11680 11972 12191 12300 12337 12480 12525 12675 12792 12800 13026 13120 13312 13325 13360 13520 13694 13858 14016 14235 14600 14965 15184 15360 15600 15744 15990 16032 16224 16400 16640 16700 16900 17056 17368 17520 17958 18688 18980 19200 19680 19968 20040 20280 20541 20787 20800 20992 21320 21376 21632 21710 21900 22776 23360 23725 23944 24382 24600 24674 24960 25050 25350 25584 25600 26052 26240 26624 26650 26720 27040 27388 27716 28032 28223 28470 29200 29930 30368 30720 31200 31488 31980 32064 32448 32565 32800 33280 33400 33800 34112 34235 34645 34736 35040 35916 36573 37011 37376 37960 38400 38909 39360 39936 39975 40080 40560 41082 41574 41600 41984 42640 42752 43264 43420 43800 44895 45552 46720 47450 47888 48764 49200 49348 49920 50100 50700 51168 51200 52104 52480 53300 53440 54080 54275 54776 55432 56064 56446 56940 58400 59860 60736 60955 61685 62400 62976 63960 64128 64896 65130 65600 66560 66800 67600 68224 68470 69290 69472 70080 71175 71832 73146 74022 74752 74825 75920 76800 77818 78720 79872 79950 80160 81120 82164 83148 83200 83968 84669 85280 85504 86528 86840 87600 89011 89790 91104 93440 94900 95776 97528 98400 98696 99840 100200 101400 102336 102705 103935 104208 104960 106600 106880 108160 108550 109552 110864 112128 112892 113880 116727 116800 119720 121472 121910 123370 124800 125952 127920 128256 129792 130260 131200 133120 133600 135200 136448 136940 138580 138944 140160 141115 142350 143664 146292 148044 149504 149650 151840 153600 155636 157440 158483 159900 160320 162240 162825 164328 166296 166400 169338 170560 171008 171175 173056 173225 173680 175200 178022 179580 182208 182865 185055 186880 189800 191552 194545 195056 196800 197392 199680 200400 202800 204672 205410 207870 208416 209920 213200 213760 216320 217100 219104 221728 224256 224475 225784 227760 233454 233600 239440 242944 243820 246740 249600 251904 255840 256512 259584 260520 262400 267033 267200 270400 272896 273880 277160 277888 280320 282230 284700 287328 292584 296088 299300 303680 304775 308425 311272 314880 316966 319800 320640 324480 325650 328656 332592 332800 338676 341120 342016 342350 346112 346450 347360 350400 356044 359160 364416 365730 370110 373760 379600 383104 389090 390112 393600 394784 399360 400800 405600 409344 410820 415740 416832 419840 423345 426400 427520 432640 434200 438208 443456 445055 448512 448950 451568 455520 466908 467200 475449 478880 485888 487640 493480 499200 499831 505817 511680 513024 513525 519168 519675 521040 524800 534066 534400 540800 545792 547760 554320 555776 560640 564460 569400 574656 583635 585168 592176 598600 607360 609550 616850 622544 629760 633932 639600 641280 648960 651300 657312 665184 665600 677352 682240 684700 692900 694720 700800 705575 712088 718320 728832 731460 740220 747520 759200 766208 778180 780224 787200 789568 792415 801600 811200 818688 821640 831480 833664 846690 852800 855040 865280 868400 876416 886912 890110 897900 903136 911040 914325 925275 933816 934400 950898 957760 971776 972725 975280 986960 998400 999662 1011634 1023360 1026048 1027050 1038336 1039350 1042080 1049600 1068132 1068800 1081600 1091584 1095520 1108640 1111552 1121280 1128920 1138800 1149312 1157143 1167270 1170336 1184352 1197200 1214720 1219100 1233700 1245088 1259520 1267864 1279200 1282560 1297920 1302600 1314624 1330368 1335165 1354704 1364480 1369400 1385800 1389440 1401600 1411150 1424176 1436640 1457664 1462920 1480440 1499493 1517451 1518400 1532416 1556360 1560448 1574400 1579136 1584830 1603200 1622400 1637376 1643280 1662960 1667328 1693380 1705600 1710080 1730560 1736800 1752832 1773824 1780220 1795800 1806272 1822080 1828650 1850550 1867632 1868800 1901796 1915520 1943552 1945450 1950560 1973920 1996800 1999324 2023268 2046720 2054100 2060279 2078700 2084160 2099200 2116725 2136264 2137600 2163200 2191040 2217280 2223104 2225275 2242560 2257840 2277600 2298624 2314286 2334540 2340672 2368704 2377245 2394400 2429440 2438200 2467400 2490176 2499155 2529085 2535728 2558400 2565120 2595840 2605200 2629248 2660736 2670330 2709408 2728960 2738800 2771600 2778880 2803200 2822300 2848352 2873280 2915328 2918175 2925840 2960880 2998986 3034902 3036800 3064832 3112720 3120896 3148800 3158272 3169660 3206400 3244800 3274752 3286560 3325920 3334656 3386760 3411200 3471429 3473600 3505664 3547648 3560440 3591600 3612544 3644160 3657300 3701100 3735264 3737600 3803592 3831040 3890900 3901120 3947840 3962075 3998648 4046536 4093440 4108200 4120558 4157400 4168320 4233450 4272528 4275200 4326400 4382080 4434560 4446208 4450550 4515680 4555200 4597248 4628572 4669080 4681344 4737408 4754490 4788800 4858880 4876400 4934800 4980352 4998310 5058170 5071456 5116800 5130240 5191680 5210400 5258496 5321472 5340660 5418816 5457920 5477600 5543200 5557760 5606400 5644600 5696704 5746560 5785715 5830656 5836350 5851680 5921760 5997972 6069804 6073600 6129664 6180837 6225440 6241792 6297600 6316544 6339320 6412800 6489600 6497803 6573120 6651840 6669312 6675825 6773520 6822400 6942858 6947200 7011328 7095296 7120880 7183200 7225088 7288320 7314600 7402200 7470528 7497465 7587255 7607184 7662080 7781800 7802240 7895680 7924150 7997296 8093072 8186880 8216400 8241116 8314800 8336640 8466900 8545056 8550400 8652800 8764160 8869120 8901100 9031360 9110400 9194496 9257144 9338160 9362688 9474816 9508980 9577600 9717760 9752800 9869600 9960704 9996620 10116340 10142912 10233600 10301395 10420800 10516992 10642944 10681320 10837632 10955200 11086400 11115520 11212800 11289200 11393408 11493120 11571430 11672700 11703360 11843520 11886225 11995944 12139608 12147200 12361674 12450880 12483584 12495775 12633088 12645425 12678640 12825600 12979200 12995606 13146240 13303680 13338624 13351650 13547040 13644800 13885716 13894400 14022656 14190592 14241760 14366400 14450176 14576640 14629200 14804400 14941056 14994930 15174510 15214368 15324160 15563600 15604480 15791360 15848300 15994592 16186144 16373760 16432800 16482232 16629600 16673280 16933800 17090112 17357145 17528320 17738240 17802200 18062720 18220800 18388992 18514288 18676320 18725376 18949632 19017960 19155200 19493409 19505600 19739200 19921408 19993240 20232680 20285824 20467200 20602790 20841600 21033984 21285888 21362640 21675264 21910400 22172800 22231040 22578400 22786816 22986240 23142860 23345400 23406720 23687040 23772450 23991888 24279216 24294400 24723348 24901760 24967168 24991550 25266176 25290850 25357280 25651200 25958400 25991212 26292480 26607360 26703300 27094080 27289600 27771432 27788800 28483520 28732800 28900352 28928575 29153280 29258400 29608800 29882112 29989860 30349020 30428736 30648320 30904185 31127200 31208960 31582720 31696600 31989184 32372288 32489015 32865600 32964464 33259200 33346560 33867600 34180224 34714290 35056640 35476480 35604400 36125440 36441600 37028576 37352640 37450752 37487325 37899264 37936275 38035920 38310400 38986818 39011200 39478400 39842816 39986480 40465360 40571648 40934400 41205580 41683200 42067968 42571776 42725280 43350528 43820800 44345600 45156800 45573632 45972480 46285720 46690800 46813440 47374080 47544900 47983776 48558432 48588800 49446696 49803520 49983100 50581700 50714560 51506975 51982424 52584960 53214720 53406600 54188160 55542864 55577600 56967040 57465600 57800704 57857150 58516800 59217600 59764224 59979720 60698040 60857472 61808370 62254400 62417920 63165440 63393200 63978368 64744576 64978030 65731200 65928928 66518400 66693120 67735200 68360448 69428580 70113280 70952960 71208800 72250880 72883200 74057152 74705280 74901504 74974650 75798528 75872550 76071840 76620800 77973636 78022400 78956800 79685632 79972960 80930720 81143296 81868800 82411160 83366400 84471439 85450560 86701056 86785725 87641600 88691200 90313600 91147264 91944960 92571440 93381600 93626880 94748160 95089800 95967552 97116864 97467045 98893392 99607040 99966200 101163400 101429120 103013950 103964848 105169920 106429440 106813200 108376320 111085728 111155200 113934080 114931200 115714300 117033600 118435200 119528448 119959440 121396080 121714944 123616740 124508800 124835840 126330880 126786400 127956736 129489152 129956060 131462400 131857856 133036800 135470400 136720896 138857160 142417600 144501760 145766400 148114304 149410560 149949300 151745100 152143680 153241600 154520925 155947272 156044800 157913600 159945920 161861440 162286592 162445075 164822320 166732800 168942878 170901120 173402112 173571450 175283200 177382400 180627200 182294528 185142880 186763200 187253760 189496320 190179600 191935104 194233728 194934090 197786784 199214080 199932400 202326800 202858240 206027900 207929696 210339840 212858880 213626400 216752640 222171456 227868160 229862400 231428600 234067200 236870400 239056896 239918880 242792160 243429888 247233480 249017600 253414317 253572800 255913472 258978304 259912120 262924800 263715712 266073600 270940800 273441792 277714320 284835200 289003520 296228608 298821120 299898600 303490200 304287360 309041850 311894544 312089600 315827200 319891840 323722880 324573184 324890150 329644640 333465600 337885756 341802240 347142900 350566400 354764800 361254400 370285760 373526400 374507520 378992640 380359200 383870208 388467456 389868180 395573568 398428160 399864800 404653600 405716480 412055800 415859392 422357195 427252800 433505280 444342912 455736320 459724800 462857200 468134400 473740800 479837760 485584320 486859776 487335225 494466960 498035200 506828634 507145600 511826944 517956608 519824240 525849600 527431424 532147200 541881600 546883584 555428640 569670400 592457216 597642240 599797200 606980400 608574720 618083700 623789088 624179200 631654400 639783680 647445760 649780300 659289280 675771512 683604480 694285800 722508800 740571520 747052800 760718400 767740416 776934912 779736360 791147136 799729600 809307200 811432960 824111600 831718784 844714390 854505600 867010560 888685824 911472640 925714400 936268800 947481600 959675520 971168640 973719552 974670450 988933920 996070400 1013657268 1014291200 1023653888 1035913216 1039648480 1051699200 1054862848 1064294400 1083763200 1110857280 1139340800 1184914432 1195284480 1199594400 1213960800 1217149440 1236167400 1247578176 1267071585 1279567360 1294891520 1299560600 1318578560 1351543024 1367208960 1388571600 1445017600 1481143040 1494105600 1521436800 1535480832 1553869824 1559472720 1582294272 1599459200 1618614400 1622865920 1648223200 1663437568 1689428780 1709011200 1777371648 1851428800 1872537600 1894963200 1919351040 1942337280 1949340900 1977867840 1992140800 2027314536 2028582400 2079296960 2109725696 2111785975 2167526400 2221714560 2278681600 2369828864 2399188800 2427921600 2434298880 2472334800 2495156352 2534143170 2559134720 2589783040 2599121200 2637157120 2703086048 2734417920 2777143200 2962286080 2988211200 3042873600 3070961664 3107739648 3118945440 3164588544 3198918400 3237228800 3296446400 3326875136 3378857560 3418022400 3554743296 3702857600 3838702080 3884674560 3898681800 3955735680 4054629072 4057164800 4158593920 4219451392 4223571950 4335052800 4443429120 4557363200 4798377600 4855843200 4868597760 4944669600 4990312704 5068286340 5118269440 5179566080 5198242400 5274314240 5406172096 5554286400 5924572160 5976422400 6085747200 6237890880 6329177088 6335357925 6397836800 6474457600 6592892800 6653750272 6757715120 6836044800 7109486592 7405715200 7677404160 7769349120 7797363600 7911471360 8109258144 8114329600 8317187840 8447143900 8886858240 9596755200 9711686400 9889339200 9980625408 10136572680 10396484800 10548628480 10812344192 11108572800 11849144320 12171494400 12475781760 12658354176 12670715850 12795673600 12948915200 13185785600 13307500544 13515430240 13672089600 14811430400 15354808320 15538698240 15594727200 15822942720 16218516288 16634375680 16894287800 17773716480 19193510400 19423372800 19778678400 19961250816 20273145360 20792969600 21097256960 21624688384 22217145600 24342988800 24951563520 25341431700 25591347200 25897830400 26371571200 27030860480 29622860800 31189454400 31645885440 32437032576 33268751360 33788575600 35547432960 38387020800 38846745600 39557356800 39922501632 40546290720 41585939200 43249376768 44434291200 49903127040 50682863400 52743142400 54061720960 59245721600 62378908800 63291770880 64874065152 66537502720 67577151200 76774041600 77693491200 79114713600 81092581440 83171878400 86498753536 88868582400 99806254080 101365726800 105486284800 108123441920 124757817600 129748130304 135154302400 158229427200 162185162880 166343756800 172997507072 177737164800 199612508160 202731453600 216246883840 249515635200 259496260608 270308604800 316458854400 324370325760 332687513600 405462907200 432493767680 499031270400 518992521216 540617209600 648740651520 810925814400 864987535360 998062540800 1081234419200 1297481303040 1621851628800 2162468838400 2594962606080 3243703257600 4324937676800 6487406515200 12974813030400
- Sum of all divisors σ(n): 48519573298560
- Sum of proper divisors (its aliquot sum) s(n): 35544760268160
- 12974813030400 is an abundant number, because the sum of its proper divisors (35544760268160) is greater than itself. Its abundance is 22569947237760
Bases of 12974813030400
- Binary: 101111001100111011110001111100101000000000002
- Hexadecimal: 0xBCCEF1F2800
- Base-36: 4LKJOOFEO
Squares and roots of 12974813030400
- 12974813030400 squared (129748130304002) is 168345773173837631324160000
- 12974813030400 cubed (129748130304003) is 2184254931388671263278582374334464000000
-
The
square root of 12974813030400 is 3602056.7777868243 -
The
cube root of 12974813030400 is 23498.1516762077
Scales and comparisons
How big is 12974813030400?- 12,974,813,030,400 seconds is equal to 412,558 years, 47 weeks, 6 days, 2 hours, 40 minutes.
-
To count from 1 to 12,974,813,030,400 would take you about one million, thirty-one thousand, three hundred ninety-seven 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 12974813030400 cubic inches would be around 1958.2 feet tall.
Recreational maths with 12974813030400
- 12974813030400 backwards is 00403031847921
- The number of decimal digits it has is: 14
- The sum of 12974813030400's digits is 42
- 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 12974813030400 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
APA style:
Numbermatics. (2024). Number 12974813030400 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/12974813030400/
Chicago style:
Numbermatics. 2024. "Number 12974813030400 - Facts about the integer". https://numbermatics.com/n/12974813030400/
The information we have on file for 12974813030400 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 12974813030400, math, Factors of 12974813030400, curriculum, school, college, exams, university, Prime factorization of 12974813030400, STEM, science, technology, engineering, physics, economics, calculator, twelve trillion, nine hundred seventy-four billion, eight hundred thirteen million, thirty thousand, four hundred.