13972146624000
13,972,146,624,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13972146624000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1920 divisors.
13972146624000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 13972146624000:
29 × 33 × 53 × 41 × 53 × 612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 41 × 53 × 61 × 61)See below for interesting mathematical facts about the number 13972146624000 from the Numbermatics database.
Names of 13972146624000
- Cardinal: 13972146624000 can be written as Thirteen trillion, nine hundred seventy-two billion, one hundred forty-six million, six hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.3972146624 × 1013
Factors of 13972146624000
Divisors of 13972146624000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 41 45 48 50 53 54 60 61 64 72 75 80 82 90 96 100 106 108 120 122 123 125 128 135 144 150 159 160 164 180 183 192 200 205 212 216 225 240 244 246 250 256 265 270 288 300 305 318 320 328 360 366 369 375 384 400 410 424 432 450 477 480 488 492 500 512 530 540 549 576 600 610 615 636 640 656 675 720 732 738 750 768 795 800 820 848 864 900 915 954 960 976 984 1000 1025 1060 1080 1098 1107 1125 1152 1200 1220 1230 1272 1280 1312 1325 1350 1431 1440 1464 1476 1500 1525 1536 1590 1600 1640 1647 1696 1728 1800 1830 1845 1908 1920 1952 1968 2000 2050 2120 2160 2173 2196 2214 2250 2304 2385 2400 2440 2460 2501 2544 2560 2624 2650 2700 2745 2862 2880 2928 2952 3000 3050 3075 3180 3200 3233 3280 3294 3375 3392 3456 3600 3660 3690 3721 3816 3840 3904 3936 3975 4000 4100 4240 4320 4346 4392 4428 4500 4575 4608 4770 4800 4880 4920 5002 5088 5125 5248 5300 5400 5490 5535 5724 5760 5856 5904 6000 6100 6150 6360 6400 6466 6519 6560 6588 6625 6750 6784 6912 7155 7200 7320 7380 7442 7503 7625 7632 7680 7808 7872 7950 8000 8200 8235 8480 8640 8692 8784 8856 9000 9150 9225 9540 9600 9699 9760 9840 10004 10176 10250 10496 10600 10800 10865 10980 11070 11163 11448 11520 11712 11808 11925 12000 12200 12300 12505 12720 12800 12932 13038 13120 13176 13250 13500 13568 13725 13824 14310 14400 14640 14760 14884 15006 15250 15264 15375 15616 15744 15900 16000 16165 16400 16470 16960 17280 17384 17568 17712 18000 18300 18450 18605 19080 19200 19398 19520 19557 19680 19875 20008 20352 20500 20992 21200 21600 21730 21960 22140 22326 22509 22875 22896 23040 23424 23616 23850 24000 24400 24600 25010 25440 25864 26076 26240 26352 26500 27000 27136 27450 27675 28620 28800 29097 29280 29520 29768 30012 30500 30528 30750 31232 31488 31800 32000 32330 32595 32800 32940 33489 33920 34560 34768 35136 35424 35775 36000 36600 36900 37210 37515 38160 38400 38796 39040 39114 39360 39750 40016 40704 41000 41175 42400 43200 43460 43920 44280 44652 45018 45750 45792 46125 46848 47232 47700 48000 48495 48800 49200 50020 50880 51728 52152 52480 52704 53000 54000 54325 54900 55350 55815 57240 57600 58194 58560 58671 59040 59536 59625 60024 61000 61056 61500 62525 62976 63600 64000 64660 65190 65600 65880 66978 67527 67840 68625 69120 69536 70272 70848 71550 72000 73200 73800 74420 75030 76320 77592 78080 78228 78720 79500 80032 80825 81408 82000 82350 84800 86400 86920 87291 87840 88560 89304 90036 91500 91584 92250 93025 93696 94464 95400 96000 96990 97600 97785 98400 100040 100467 101760 103456 104304 104960 105408 106000 108000 108650 109800 110700 111630 112545 114480 115200 116388 117120 117342 118080 119072 119250 120048 122000 122112 123000 125050 127200 129320 130380 131200 131760 132553 133956 135054 135680 137250 138375 139072 140544 141696 143100 144000 145485 146400 147600 148840 150060 152561 152640 155184 156160 156456 157440 159000 160064 161650 162975 164000 164700 167445 169600 172800 173840 174582 175680 177120 178608 178875 180072 183000 183168 184500 186050 187575 188928 190800 192000 193980 195200 195570 196800 197213 200080 200934 203520 205875 206912 208608 210816 212000 216000 217300 219600 221400 223260 225090 228960 232776 234240 234684 236160 238144 238500 240096 242475 244000 244224 246000 250100 254400 258640 260760 262400 263520 265106 267912 270108 271625 274500 276750 278144 279075 281088 283392 286200 288000 290970 292800 293355 295200 297680 300120 305122 305280 310368 312625 312912 314880 318000 320128 323300 325950 328000 329400 334890 337635 339200 345600 347680 349164 351360 354240 357216 357750 360144 366000 366336 369000 372100 375150 381600 387960 390400 391140 393600 394426 397659 400160 401868 404125 407040 411750 413824 417216 421632 424000 432000 434600 436455 439200 442800 446520 450180 457683 457920 465125 465552 468480 469368 472320 476288 477000 480192 484950 488000 488925 492000 500200 502335 508800 517280 521520 524800 527040 530212 535824 540216 543250 549000 553500 556288 558150 562725 566784 572400 576000 581940 585600 586710 590400 591639 595360 600240 610244 610560 620736 625250 625824 636000 640256 646600 651900 656000 658800 662765 669780 675270 678400 695360 698328 702720 708480 714432 715500 720288 727425 732000 732672 738000 744200 750300 762805 763200 775920 780800 782280 787200 788852 795318 800320 803736 808250 814875 823500 827648 834432 837225 843264 848000 864000 869200 872910 878400 885600 893040 900360 915366 915840 930250 931104 937875 938736 944640 952576 954000 960384 969900 976000 977850 984000 986065 1000400 1004670 1017600 1034560 1043040 1054080 1060424 1071648 1080432 1086500 1098000 1107000 1112576 1116300 1125450 1144800 1163880 1171200 1173420 1180800 1183278 1190720 1192977 1200480 1212375 1220488 1221120 1241472 1250500 1251648 1272000 1280512 1293200 1303800 1312000 1317600 1325530 1339560 1350540 1373049 1390720 1395375 1396656 1405440 1416960 1428864 1431000 1440576 1454850 1464000 1466775 1476000 1488400 1500600 1525610 1526400 1551840 1564560 1574400 1577704 1590636 1600640 1607472 1616500 1629750 1647000 1655296 1668864 1674450 1688175 1696000 1728000 1738400 1745820 1756800 1771200 1774917 1786080 1800720 1830732 1831680 1860500 1862208 1875750 1877472 1905152 1908000 1920768 1939800 1952000 1955700 1968000 1972130 1988295 2000800 2009340 2035200 2069120 2086080 2108160 2120848 2143296 2160864 2173000 2182275 2196000 2214000 2232600 2250900 2288415 2289600 2327760 2342400 2346840 2361600 2366556 2381440 2385954 2400960 2424750 2440976 2444625 2482944 2501000 2503296 2511675 2544000 2586400 2607600 2624000 2635200 2651060 2679120 2701080 2746098 2781440 2790750 2793312 2813625 2833920 2857728 2862000 2881152 2909700 2928000 2933550 2952000 2958195 2976800 3001200 3051220 3052800 3103680 3129120 3155408 3181272 3201280 3214944 3233000 3259500 3294000 3313825 3337728 3348900 3376350 3392000 3476800 3491640 3513600 3542400 3549834 3572160 3578931 3601440 3637125 3661464 3663360 3721000 3724416 3751500 3754944 3814025 3816000 3841536 3879600 3904000 3911400 3936000 3944260 3976590 4001600 4018680 4119147 4138240 4172160 4186125 4216320 4241696 4286592 4321728 4346000 4364550 4392000 4428000 4465200 4501800 4576830 4579200 4655520 4693680 4723200 4733112 4762880 4771908 4801920 4849500 4881952 4889250 4930325 4965888 5002000 5006592 5023350 5088000 5172800 5215200 5270400 5302120 5324751 5358240 5402160 5492196 5562880 5581500 5586624 5627250 5715456 5724000 5762304 5819400 5856000 5867100 5904000 5916390 5953600 5964885 6002400 6102440 6105600 6207360 6258240 6310816 6362544 6402560 6429888 6466000 6519000 6588000 6627650 6697800 6752700 6865245 6953600 6983280 7027200 7084800 7099668 7144320 7157862 7202880 7274250 7322928 7333875 7442000 7448832 7503000 7509888 7628050 7632000 7759200 7822800 7872000 7888520 7953180 8003200 8037360 8085733 8238294 8276480 8344320 8372250 8440875 8483392 8573184 8643456 8692000 8729100 8784000 8856000 8874585 8930400 9003600 9153660 9158400 9311040 9387360 9466224 9525760 9543816 9603840 9699000 9763904 9778500 9860650 9941475 10004000 10013184 10046700 10176000 10345600 10430400 10540800 10604240 10649502 10716480 10804320 10911375 10984392 11163000 11173248 11254500 11442075 11448000 11524608 11638800 11712000 11734200 11808000 11832780 11907200 11929770 12004800 12204880 12414720 12516480 12558375 12621632 12725088 12859776 12932000 13038000 13176000 13255300 13395600 13505400 13730490 13907200 13966560 14169600 14199336 14288640 14315724 14405760 14548500 14645856 14667750 14790975 14884000 14897664 15006000 15019776 15256100 15264000 15518400 15645600 15777040 15906360 16006400 16074720 16171466 16476588 16569125 16688640 16744500 16881750 16966784 17146368 17286912 17384000 17458200 17568000 17712000 17749170 17860800 17894655 18007200 18307320 18316800 18622080 18774720 18932448 19070125 19087632 19207680 19398000 19527808 19557000 19721300 19882950 20008000 20093400 20595735 20691200 20860800 21081600 21208480 21299004 21432960 21608640 21822750 21968784 22326000 22346496 22509000 22884150 22896000 23277600 23468400 23616000 23665560 23814400 23859540 24009600 24257199 24409760 24651625 24829440 25032960 25116750 25243264 25450176 25719552 25864000 26076000 26352000 26510600 26623755 26791200 27010800 27460980 27814400 27933120 28398672 28577280 28631448 28811520 29097000 29291712 29335500 29581950 29768000 29824425 30012000 30039552 30512200 30528000 31036800 31291200 31554080 31812720 32012800 32149440 32342932 32953176 33138250 33489000 33763500 33933568 34326225 34573824 34768000 34916400 35136000 35424000 35498340 35721600 35789310 36014400 36614640 37244160 37549440 37864896 38140250 38175264 38796000 39055616 39114000 39442600 39765900 40016000 40186800 40428665 41191470 41382400 41721600 42416960 42598008 42865920 43217280 43645500 43937568 44372925 44652000 44692992 45018000 45768300 45792000 46555200 46936800 47331120 47628800 47719080 48019200 48514398 48819520 49303250 49707375 50065920 50233500 50486528 50900352 51439104 51728000 52152000 52704000 53021200 53247510 53582400 54021600 54921960 55866240 56797344 57210375 57262896 57623040 58194000 58583424 58671000 59163900 59536000 59648850 60024000 61024400 62073600 62582400 63108160 63625440 64298880 64685864 65906352 66276500 66978000 67527000 67867136 68652450 69536000 69832800 70848000 70996680 71443200 71578620 72028800 72771597 73229280 73954875 74488320 75098880 75729792 76280500 76350528 77592000 78111232 78228000 78885200 79531800 80032000 80373600 80857330 82382940 83443200 84833920 85196016 85731840 86434560 87291000 87875136 88745850 89304000 89473275 90036000 91536600 91584000 93110400 93873600 94662240 95438160 96038400 97028796 97639040 98606500 99414750 100467000 100973056 101800704 102978675 103456000 104304000 105408000 106042400 106495020 107164800 108043200 109843920 111732480 113594688 114420750 114525792 116388000 117166848 117342000 118327800 119072000 119297700 120048000 121285995 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305122000 305402112 310368000 312912000 315540800 318127200 321494400 323429320 329531760 339335680 340784064 343262250 349164000 351500544 354983400 357216000 357893100 360144000 363857985 366146400 372441600 375494400 378648960 381752640 388115184 390556160 394426000 397659000 401868000 404286650 411914700 417216000 424169600 425980080 428659200 432172800 436629582 439375680 443729250 447366375 454378752 457683000 458103168 465552000 469368000 473311200 477190800 480192000 485143980 488195200 504865280 509003520 514893375 517486912 527250816 530212000 532475100 535824000 540216000 549219600 558662400 567973440 572628960 582172776 585834240 591639000 596488500 606429975 610244000 610804224 620736000 625824000 631081600 636254400 642988800 646858640 659063520 665593875 681568128 686524500 698328000 703001088 709966800 714432000 715786200 720288000 727715970 732292800 750988800 757297920 763505280 776230368 788852000 795318000 803736000 808573300 823829400 848339200 851960160 864345600 873259164 878751360 887458500 894732750 908757504 915366000 916206336 931104000 938736000 946622400 954381600 970287960 976390400 1010716625 1018007040 1029786750 1034973824 1054501632 1060424000 1064950200 1071648000 1080432000 1091573955 1098439200 1117324800 1135946880 1145257920 1164345552 1171668480 1183278000 1192977000 1212859950 1220488000 1251648000 1262163200 1272508800 1285977600 1293717280 1318127040 1331187750 1363136256 1373049000 1396656000 1419933600 1431572400 1440576000 1455431940 1464585600 1514595840 1527010560 1552460736 1577704000 1590636000 1607472000 1617146600 1647658800 1696678400 1703920320 1746518328 1757502720 1774917000 1789465500 1819289925 1830732000 1832412672 1862208000 1877472000 1893244800 1908763200 1940575920 1952780800 2021433250 2059573500 2069947648 2109003264 2120848000 2129900400 2143296000 2160864000 2183147910 2196878400 2271893760 2290515840 2328691104 2366556000 2385954000 2425719900 2440976000 2524326400 2545017600 2587434560 2636254080 2662375500 2726272512 2746098000 2793312000 2839867200 2863144800 2910863880 2929171200 3032149875 3054021120 3104921472 3155408000 3181272000 3214944000 3234293200 3295317600 3407840640 3493036656 3515005440 3549834000 3578931000 3638579850 3661464000 3754944000 3786489600 3817526400 3881151840 4042866500 4119147000 4139895296 4241696000 4259800800 4321728000 4366295820 4393756800 4543787520 4581031680 4657382208 4733112000 4771908000 4851439800 4881952000 5090035200 5174869120 5272508160 5324751000 5457869775 5492196000 5586624000 5679734400 5726289600 5821727760 5858342400 6064299750 6209842944 6310816000 6362544000 6429888000 6468586400 6590635200 6815681280 6986073312 7099668000 7157862000 7277159700 7322928000 7572979200 7635052800 7762303680 8085733000 8238294000 8483392000 8519601600 8732591640 8787513600 9096449625 9162063360 9314764416 9466224000 9543816000 9702879600 9763904000 10349738240 10545016320 10649502000 10915739550 10984392000 11359468800 11452579200 11643455520 12128599500 12419685888 12621632000 12725088000 12937172800 13181270400 13631362560 13972146624 14199336000 14315724000 14554319400 14645856000 15270105600 15524607360 16171466000 16476588000 17039203200 17465183280 17575027200 18192899250 18629528832 18932448000 19087632000 19405759200 20699476480 21299004000 21831479100 21968784000 22718937600 22905158400 23286911040 24257199000 25450176000 25874345600 26362540800 27289348875 27944293248 28398672000 28631448000 29108638800 29291712000 31049214720 32342932000 32953176000 34078406400 34930366560 36385798500 37259057664 37864896000 38175264000 38811518400 42598008000 43662958200 43937568000 45810316800 46573822080 48514398000 51748691200 52725081600 54578697750 55888586496 56797344000 57262896000 58217277600 62098429440 64685864000 65906352000 68156812800 69860733120 72771597000 76350528000 77623036800 85196016000 87325916400 87875136000 93147644160 97028796000 103497382400 109157395500 111777172992 113594688000 114525792000 116434555200 129371728000 131812704000 139721466240 145543194000 155246073600 170392032000 174651832800 186295288320 194057592000 218314791000 229051584000 232869110400 258743456000 263625408000 279442932480 291086388000 310492147200 340784064000 349303665600 388115184000 436629582000 465738220800 517486912000 558885864960 582172776000 698607331200 776230368000 873259164000 931476441600 1164345552000 1397214662400 1552460736000 1746518328000 2328691104000 2794429324800 3493036656000 4657382208000 6986073312000 13972146624000
- Sum of all divisors σ(n): 54769605770880
- Sum of proper divisors (its aliquot sum) s(n): 40797459146880
- 13972146624000 is an abundant number, because the sum of its proper divisors (40797459146880) is greater than itself. Its abundance is 26825312522880
Bases of 13972146624000
- Binary: 110010110101001001001101011000010110000000002
- Hexadecimal: 0xCB524D61600
- Base-36: 4YAPRCLC0
Squares and roots of 13972146624000
- 13972146624000 squared (139721466240002) is 195220881282554597376000000
- 13972146624000 cubed (139721466240003) is 2727654777346350007822757658624000000000
-
The
square root of 13972146624000 is 3737933.4697129107 -
The
cube root of 13972146624000 is 24085.4285542891
Scales and comparisons
How big is 13972146624000?- 13,972,146,624,000 seconds is equal to 444,271 years, 2 weeks, 2 days.
-
To count from 1 to 13,972,146,624,000 would take you about one million, one hundred ten thousand, six hundred seventy-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 13972146624000 cubic inches would be around 2007.1 feet tall.
Recreational maths with 13972146624000
- 13972146624000 backwards is 00042664127931
- 13972146624000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13972146624000's digits is 45
- More coming soon!
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"Number 13972146624000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 13972146624000 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/13972146624000/
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The information we have on file for 13972146624000 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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