40981589196800
40,981,589,196,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 40981589196800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1224 divisors.
40981589196800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred twenty-four divisors.
Prime factorization of 40981589196800:
216 × 52 × 72 × 19 × 67 × 401
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 19 × 67 × 401)See below for interesting mathematical facts about the number 40981589196800 from the Numbermatics database.
Names of 40981589196800
- Cardinal: 40981589196800 can be written as Forty trillion, nine hundred eighty-one billion, five hundred eighty-nine million, one hundred ninety-six thousand, eight hundred.
Scientific notation
- Scientific notation: 4.09815891968 × 1013
Factors of 40981589196800
Divisors of 40981589196800
- Number of divisors d(n): 1224
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 38 40 49 50 56 64 67 70 76 80 95 98 100 112 128 133 134 140 152 160 175 190 196 200 224 245 256 266 268 280 304 320 335 350 380 392 400 401 448 469 475 490 512 532 536 560 608 640 665 670 700 760 784 800 802 896 931 938 950 980 1024 1064 1072 1120 1216 1225 1273 1280 1330 1340 1400 1520 1568 1600 1604 1675 1792 1862 1876 1900 1960 2005 2048 2128 2144 2240 2345 2432 2450 2546 2560 2660 2680 2800 2807 3040 3136 3200 3208 3283 3325 3350 3584 3724 3752 3800 3920 4010 4096 4256 4288 4480 4655 4690 4864 4900 5092 5120 5320 5360 5600 5614 6080 6272 6365 6400 6416 6566 6650 6700 7168 7448 7504 7600 7619 7840 8020 8192 8512 8576 8911 8960 9310 9380 9728 9800 10025 10184 10240 10640 10720 11200 11228 11725 12160 12544 12730 12800 12832 13132 13300 13400 14035 14336 14896 15008 15200 15238 15680 16040 16384 16415 17024 17152 17822 17920 18620 18760 19456 19600 19649 20050 20368 20480 21280 21440 22400 22456 23275 23450 24320 25088 25460 25600 25664 26264 26600 26800 26867 28070 28672 29792 30016 30400 30476 31360 31825 32080 32768 32830 34048 34304 35644 35840 37240 37520 38095 38912 39200 39298 40100 40736 40960 42560 42880 44555 44800 44912 46550 46900 48640 50176 50920 51200 51328 52528 53200 53333 53600 53734 56140 57344 59584 60032 60800 60952 62377 62720 63650 64160 65536 65660 68096 68608 70175 71288 71680 74480 75040 76190 77824 78400 78596 80200 81472 81920 82075 85120 85760 89110 89600 89824 93100 93800 97280 98245 100352 101840 102400 102656 105056 106400 106666 107200 107468 112280 114688 119168 120064 121600 121904 124754 125440 127300 128320 131320 134335 136192 137216 140350 142576 143360 148960 150080 152380 155648 156800 157192 160400 162944 163840 164150 170240 171520 178220 179200 179648 186200 187600 188069 190475 194560 196490 200704 203680 204800 205312 210112 212800 213332 214400 214936 222775 224560 229376 238336 240128 243200 243808 249508 250880 254600 256640 262640 266665 268670 272384 274432 280700 285152 286720 297920 300160 304760 311296 311885 313600 314384 320800 325888 327680 328300 340480 343040 356440 358400 359296 372400 373331 375200 376138 380950 389120 392980 401408 407360 409600 410624 420224 425600 426664 428800 429872 445550 449120 458752 476672 480256 486400 487616 491225 499016 501760 509200 510473 513280 525280 533330 537340 544768 548864 561400 570304 573440 595840 600320 609520 622592 623770 627200 628768 641600 651776 656600 671675 680960 686080 712880 716800 718592 744800 746662 750400 752276 761900 778240 785960 802816 814720 819200 821248 840448 851200 853328 857600 859744 891100 898240 940345 953344 960512 972800 975232 982450 998032 1003520 1018400 1020946 1026560 1050560 1066660 1074680 1089536 1097728 1122800 1140608 1146880 1191680 1200640 1219040 1245184 1247540 1254400 1257536 1283200 1303552 1313200 1316483 1333325 1343350 1361920 1372160 1425760 1433600 1437184 1489600 1493324 1500800 1504552 1523800 1556480 1559425 1571920 1605632 1629440 1638400 1642496 1680896 1702400 1706656 1715200 1719488 1782200 1796480 1866655 1880690 1906688 1921024 1945600 1950464 1964900 1996064 2007040 2036800 2041892 2053120 2101120 2133320 2149360 2179072 2195456 2245600 2281216 2293760 2383360 2401280 2438080 2495080 2508800 2515072 2552365 2566400 2607104 2626400 2632966 2666650 2686700 2723840 2744320 2851520 2867200 2874368 2979200 2986648 3001600 3009104 3047600 3112960 3118850 3143840 3211264 3258880 3284992 3361792 3404800 3413312 3430400 3438976 3564400 3573311 3592960 3733310 3761380 3813376 3842048 3891200 3900928 3929800 3992128 4014080 4073600 4083784 4106240 4202240 4266640 4298720 4358144 4390912 4491200 4562432 4701725 4766720 4802560 4876160 4990160 5017600 5030144 5104730 5132800 5214208 5252800 5265932 5333300 5373400 5447680 5488640 5703040 5734400 5748736 5958400 5973296 6003200 6018208 6095200 6225920 6237700 6287680 6517760 6569984 6582415 6723584 6809600 6826624 6860800 6877952 7128800 7146622 7185920 7466620 7522760 7626752 7684096 7782400 7801856 7859600 7984256 8028160 8147200 8167568 8212480 8404480 8533280 8597440 8716288 8982400 9124864 9333275 9403450 9533440 9605120 9752320 9980320 10035200 10060288 10209460 10265600 10428416 10505600 10531864 10666600 10746800 10895360 10977280 11406080 11468800 11497472 11916800 11946592 12006400 12036416 12190400 12475400 12575360 12761825 13035520 13139968 13164830 13447168 13619200 13653248 13721600 13755904 14257600 14293244 14371840 14933240 15045520 15253504 15368192 15564800 15603712 15719200 15968512 16056320 16294400 16335136 16424960 16808960 17066560 17194880 17866555 17964800 18249728 18666550 18806900 19066880 19210240 19504640 19960640 20070400 20120576 20418920 20531200 20856832 21011200 21063728 21333200 21493600 21790720 21954560 22812160 22994944 23833600 23893184 24012800 24072832 24380800 24950800 25013177 25150720 25523650 26071040 26279936 26329660 26894336 27238400 27306496 27443200 27511808 28515200 28586488 28743680 29866480 30091040 30507008 30736384 31129600 31207424 31438400 31937024 32588800 32670272 32849920 32912075 33617920 34133120 34389760 35733110 35929600 36499456 37333100 37613800 38133760 38420480 39009280 39921280 40140800 40241152 40837840 41062400 41713664 42022400 42127456 42666400 42987200 43581440 45624320 45989888 47667200 47786368 48025600 48145664 48761600 49901600 50026354 50301440 51047300 52142080 52659320 53788672 54476800 54612992 54886400 55023616 57030400 57172976 57487360 59732960 60182080 61014016 62414848 62876800 63874048 65177600 65340544 65699840 65824150 67235840 68266240 68779520 71466220 71859200 72998912 74666200 75227600 76267520 76840960 78018560 79842560 80281600 80482304 81675680 82124800 83427328 84044800 84254912 85332800 85974400 89332775 91248640 91979776 95334400 95572736 96051200 96291328 97523200 99803200 100052708 100602880 102094600 104284160 105318640 107577344 108953600 109225984 109772800 110047232 114060800 114345952 114974720 119465920 120364160 124829696 125065885 125753600 127748096 130355200 130681088 131399680 131648300 134471680 136532480 137559040 142932440 143718400 145997824 149332400 150455200 152535040 153681920 156037120 159685120 160964608 163351360 164249600 168089600 168509824 170665600 171948800 178665550 182497280 183959552 190668800 191145472 192102400 192582656 195046400 199606400 200105416 201205760 204189200 208568320 210637280 215154688 217907200 218451968 220094464 228121600 228691904 229949440 238931840 240728320 249659392 250131770 251507200 255496192 260710400 261362176 263296600 268943360 273064960 275118080 285864880 287436800 291995648 298664800 300910400 305070080 312074240 319370240 321929216 326702720 328499200 336179200 337019648 341331200 343897600 357331100 364994560 381337600 382290944 384204800 385165312 390092800 399212800 400210832 402411520 408378400 417136640 421274560 436903936 440188928 456243200 457383808 459898880 477863680 481456640 499318784 500263540 503014400 510992384 521420800 522724352 526593200 537886720 546129920 550236160 571729760 574873600 583991296 597329600 601820800 624148480 625329425 638740480 643858432 653405440 656998400 672358400 674039296 682662400 687795200 714662200 729989120 762675200 764581888 768409600 770330624 780185600 798425600 800421664 804823040 816756800 842549120 873807872 880377856 912486400 914767616 919797760 955727360 962913280 1000527080 1006028800 1021984768 1042841600 1045448704 1053186400 1075773440 1092259840 1100472320 1143459520 1149747200 1194659200 1203641600 1248296960 1250658850 1277480960 1287716864 1306810880 1344716800 1348078592 1365324800 1375590400 1429324400 1459978240 1525350400 1529163776 1540661248 1560371200 1596851200 1600843328 1609646080 1633513600 1685098240 1747615744 1760755712 1824972800 1829535232 1911454720 1925826560 2001054160 2012057600 2043969536 2085683200 2090897408 2106372800 2184519680 2200944640 2286919040 2299494400 2389318400 2407283200 2496593920 2501317700 2554961920 2613621760 2689433600 2696157184 2730649600 2751180800 2858648800 2919956480 3058327552 3081322496 3120742400 3193702400 3201686656 3219292160 3267027200 3370196480 3495231488 3649945600 3659070464 3822909440 3851653120 4002108320 4024115200 4087939072 4181794816 4212745600 4369039360 4401889280 4573838080 4598988800 4778636800 4814566400 5002635400 5109923840 5227243520 5378867200 5392314368 5461299200 5502361600 5717297600 6116655104 6162644992 6241484800 6387404800 6403373312 6438584320 6534054400 6740392960 7299891200 7318140928 7645818880 7703306240 8004216640 8048230400 8363589632 8425491200 8738078720 8803778560 9147676160 9557273600 9629132800 10005270800 10219847680 10454487040 10784628736 10922598400 11004723200 11434595200 12233310208 12325289984 12482969600 12774809600 12806746624 13068108800 13480785920 14599782400 14636281856 15291637760 15406612480 16008433280 16096460800 16727179264 16850982400 17476157440 18295352320 19114547200 19258265600 20010541600 20439695360 20908974080 21569257472 21845196800 22009446400 22869190400 24466620416 25549619200 25613493248 26136217600 26961571840 29272563712 30583275520 30813224960 32016866560 32192921600 33454358528 33701964800 36590704640 38229094400 38516531200 40021083200 41817948160 43138514944 43690393600 44018892800 45738380800 51099238400 51226986496 52272435200 53923143680 58545127424 61166551040 61626449920 64033733120 67403929600 73181409280 76458188800 77033062400 80042166400 83635896320 86277029888 87380787200 91476761600 102198476800 102453972992 104544870400 107846287360 117090254848 122333102080 128067466240 134807859200 146362818560 152916377600 154066124800 160084332800 167271792640 182953523200 204907945984 209089740800 215692574720 234180509696 256134932480 269615718400 292725637120 305832755200 308132249600 320168665600 365907046400 409815891968 418179481600 431385149440 512269864960 539231436800 585451274240 611665510400 640337331200 731814092800 819631783936 836358963200 1024539729920 1078462873600 1170902548480 1280674662400 1463628185600 1639263567872 2049079459840 2156925747200 2561349324800 2927256371200 4098158919680 5122698649600 5854512742400 8196317839360 10245397299200 20490794598400 40981589196800
- Sum of all divisors σ(n): 126621695291040
- Sum of proper divisors (its aliquot sum) s(n): 85640106094240
- 40981589196800 is an abundant number, because the sum of its proper divisors (85640106094240) is greater than itself. Its abundance is 44658516897440
Bases of 40981589196800
- Binary: 10010101000101110001010001000100000000000000002
- Hexadecimal: 0x2545C5110000
- Base-36: EIYOK3EGW
Squares and roots of 40981589196800
- 40981589196800 squared (409815891968002) is 1679490653095274469130240000
- 40981589196800 cubed (409815891968003) is 68828196005015876665238698676191232000000
-
The
square root of 40981589196800 is 6401686.4338078915 -
The
cube root of 40981589196800 is 34477.0102937613
Scales and comparisons
How big is 40981589196800?- 40,981,589,196,800 seconds is equal to 1,303,087 years, 40 weeks, 1 day, 53 minutes, 20 seconds.
-
To count from 1 to 40,981,589,196,800 would take you about three million, two hundred fifty-seven thousand, seven hundred nineteen 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 40981589196800 cubic inches would be around 2873.1 feet tall.
Recreational maths with 40981589196800
- 40981589196800 backwards is 00869198518904
- The number of decimal digits it has is: 14
- The sum of 40981589196800's digits is 68
- 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 40981589196800 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
APA style:
Numbermatics. (2024). Number 40981589196800 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/40981589196800/
Chicago style:
Numbermatics. 2024. "Number 40981589196800 - Facts about the integer". https://numbermatics.com/n/40981589196800/
The information we have on file for 40981589196800 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 40981589196800, math, Factors of 40981589196800, curriculum, school, college, exams, university, Prime factorization of 40981589196800, STEM, science, technology, engineering, physics, economics, calculator, forty trillion, nine hundred eighty-one billion, five hundred eighty-nine million, one hundred ninety-six thousand, eight hundred.