40948892006400

Names of 40948892006400

• Cardinal: 40948892006400 can be written as Forty trillion, nine hundred forty-eight billion, eight hundred ninety-two million, six thousand, four hundred.

Scientific notation

• Scientific notation: 4.09488920064 × 10¹³

Factors of 40948892006400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 526

Divisors of 40948892006400

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 49 50 56 60 63 64 70 72 75 80 84 90 96 98 100 105 112 120 126 128 140 144 147 150 160 168 175 180 192 196 200 210 224 225 240 245 252 256 280 288 294 300 315 320 336 343 350 360 384 392 400 420 441 448 450 480 490 504 509 512 525 560 576 588 600 630 640 672 686 700 720 735 768 784 800 840 882 896 900 960 980 1008 1018 1024 1029 1050 1120 1152 1176 1200 1225 1260 1280 1344 1372 1400 1440 1470 1527 1536 1568 1575 1600 1680 1715 1764 1792 1800 1920 1960 2016 2036 2048 2058 2100 2205 2240 2304 2352 2400 2450 2520 2545 2560 2688 2744 2800 2880 2940 3054 3072 3087 3136 3150 3200 3360 3430 3528 3563 3584 3600 3675 3840 3920 4032 4072 4116 4200 4410 4480 4581 4608 4704 4800 4900 5040 5090 5120 5145 5376 5488 5600 5760 5880 6108 6144 6174 6272 6300 6400 6720 6860 7056 7126 7168 7200 7350 7635 7680 7840 8064 8144 8232 8400 8575 8820 8960 9162 9216 9408 9600 9800 10080 10180 10240 10290 10689 10752 10976 11025 11200 11520 11760 12216 12348 12544 12600 12725 12800 13440 13720 14112 14252 14336 14400 14700 15270 15360 15435 15680 16128 16288 16464 16800 17150 17640 17815 17920 18324 18432 18816 19200 19600 20160 20360 20580 21378 21504 21952 22050 22400 22905 23040 23520 24432 24696 24941 25088 25200 25450 25600 25725 26880 27440 28224 28504 28800 29400 30540 30720 30870 31360 32067 32256 32576 32928 33600 34300 35280 35630 35840 36648 37632 38175 38400 39200 40320 40720 41160 42756 43008 43904 44100 44800 45810 46080 47040 48864 49392 49882 50176 50400 50900 51200 51450 53445 53760 54880 56448 57008 57600 58800 61080 61740 62720 64134 64512 65152 65856 67200 68600 70560 71260 71680 73296 74823 75264 76350 76800 77175 78400 80640 81440 82320 85512 87808 88200 89075 89600 91620 92160 94080 97728 98784 99764 100352 100800 101800 102900 106890 107520 109760 112896 114016 114525 115200 117600 122160 123480 124705 125440 128268 129024 130304 131712 134400 137200 141120 142520 146592 149646 150528 152700 153600 154350 156800 160335 161280 162880 164640 171024 174587 175616 176400 178150 179200 183240 188160 195456 197568 199528 201600 203600 205800 213780 215040 219520 224469 225792 228032 229050 230400 235200 244320 246960 249410 250880 256536 259081 260608 263424 267225 268800 274400 282240 285040 293184 299292 301056 305400 308700 313600 320670 322560 325760 329280 342048 349174 351232 352800 356300 358400 366480 374115 376320 390912 395136 399056 403200 407200 411600 427560 439040 448938 451584 456064 458100 460800 470400 488640 493920 498820 501760 513072 518162 521216 523761 526848 534450 537600 548800 564480 570080 586368 598584 610800 617400 623525 627200 641340 645120 651520 658560 684096 698348 702464 705600 712600 732960 748230 752640 777243 781824 790272 798112 801675 806400 814400 823200 855120 872935 878080 897876 903168 912128 916200 940800 977280 987840 997640 1026144 1036324 1042432 1047522 1053696 1068900 1075200 1097600 1122345 1128960 1140160 1172736 1197168 1221600 1234800 1247050 1254400 1282680 1295405 1303040 1317120 1368192 1396696 1411200 1425200 1465920 1496460 1505280 1554486 1563648 1571283 1580544 1596224 1603350 1612800 1628800 1646400 1710240 1745870 1756160 1795752 1813567 1824256 1832400 1870575 1881600 1954560 1975680 1995280 2052288 2072648 2095044 2107392 2137800 2195200 2244690 2257920 2280320 2331729 2345472 2394336 2443200 2469600 2494100 2508800 2565360 2590810 2606080 2618805 2634240 2736384 2793392 2822400 2850400 2931840 2992920 3108972 3127296 3142566 3161088 3192448 3206700 3225600 3257600 3292800 3420480 3491740 3512320 3591504 3627134 3648512 3664800 3741150 3763200 3886215 3909120 3951360 3990560 4104576 4145296 4190088 4275600 4364675 4390400 4489380 4515840 4560640 4663458 4690944 4788672 4886400 4939200 4988200 5130720 5181620 5212160 5237610 5268480 5440701 5472768 5586784 5611725 5644800 5700800 5863680 5985840 6217944 6285132 6322176 6384896 6413400 6477025 6515200 6585600 6840960 6983480 7183008 7254268 7297024 7329600 7482300 7526400 7772430 7818240 7856415 7902720 7981120 8209152 8290592 8380176 8551200 8729350 8780800 8978760 9067835 9121280 9326916 9381888 9577344 9772800 9878400 9976400 10261440 10363240 10475220 10536960 10881402 10945536 11173568 11223450 11289600 11401600 11658645 11727360 11971680 12435888 12570264 12694969 12769792 12826800 12954050 13030400 13094025 13171200 13681920 13966960 14366016 14508536 14659200 14964600 15544860 15636480 15712830 15805440 15962240 16322103 16418304 16581184 16760352 17102400 17458700 17561600 17957520 18135670 18242560 18653832 19154688 19431075 19545600 19756800 19952800 20522880 20726480 20950440 21762804 21891072 22347136 22446900 22579200 22803200 23317290 23454720 23943360 24871776 25140528 25389938 25539584 25653600 25908100 26060800 26188050 26342400 27203505 27363840 27933920 28732032 29017072 29318400 29929200 31089720 31425660 31610880 31924480 32644206 32836608 33162368 33520704 34204800 34917400 35915040 36271340 36485120 37307664 38084907 38309376 38862150 39091200 39282075 39513600 39905600 41045760 41452960 41900880 43525608 44694272 44893800 45339175 45606400 46634580 46909440 47886720 49743552 50281056 50779876 51079168 51307200 51816200 52376100 52684800 54407010 54727680 55867840 57464064 58034144 58293225 58636800 59858400 62179440 62851320 63474845 63848960 65288412 65673216 66324736 67041408 68409600 69834800 71830080 72542680 74615328 76169814 76618752 77724300 78182400 78564150 79027200 79811200 81610515 82091520 82905920 83801760 87051216 88864783 89388544 89787600 90678350 91212800 93269160 95773440 99487104 100562112 101559752 102614400 103632400 104752200 108814020 109455360 111735680 114254721 114928128 116068288 116586450 117273600 119716800 124358880 125702640 126949690 127697920 130576824 132649472 134082816 136017525 136819200 139669600 143660160 145085360 149230656 152339628 153237504 155448600 157128300 158054400 159622400 163221030 164183040 165811840 167603520 174102432 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812478016 816105150 820915200 829059200 838017600 870512160 888647830 893885440 914037768 928546304 932691600 952122675 957734400 994871040 1005621120 1015597520 1044614592 1066377396 1072662528 1088140200 1117356800 1142547210 1149281280 1160682880 1193845248 1218717024 1243588800 1257026400 1269496900 1276979200 1305768240 1326494720 1332971745 1340828160 1392819456 1421836528 1436601600 1450853600 1492306560 1523396280 1591793664 1599566094 1608993792 1624956032 1632210300 1641830400 1658118400 1676035200 1741024320 1777295660 1787770880 1828075536 1857092608 1865383200 1904245350 1915468800 1989742080 2011242240 2031195040 2089229184 2132754792 2176280400 2221619575 2234713600 2285094420 2298562560 2321365760 2387690496 2437434048 2487177600 2514052800 2538993800 2611536480 2652989440 2665943490 2681656320 2785638912 2843673056 2856368025 2873203200 2901707200 2984613120 3046792560 3199132188 3217987584 3249912064 3264420600 3316236800 3352070400 3482048640 3554591320 3656151072 3714185216 3730766400 3808490700 3830937600 3979484160 3998915235 4022484480 4062390080 4178458368 4265509584 4352560800 4443239150 4469427200 4570188840 4642731520 4775380992 4874868096 4974355200 5028105600 5077987600 5223072960 5331886980 5363312640 5571277824 5687346112 5712736050 5746406400 5803414400 5969226240 6093585120 6398264376 6499824128 6528841200 6632473600 6664858725 6704140800 6964097280 7109182640 7312302144 7461532800 7616981400 7958968320 7997830470 8044968960 8124780160 8356916736 8531019168 8705121600 8886478300 8938854400 9140377680 9285463040 9749736192 9948710400 10056211200 10155975200 10446145920 10663773960 11142555648 11374692224 11425472100 11492812800 11606828800 11938452480 12187170240 12796528752 12999648256 13057682400 13264947200 13329717450 13408281600 13928194560 14218365280 14624604288 14923065600 15233962800 15995660940 16089937920 16249560320 16713833472 17062038336 17410243200 17772956600 18280755360 18570926080 19499472384 19897420800 19994576175 20112422400 20311950400 20892291840 21327547920 22749384448 22850944200 23213657600 23876904960 24374340480 25593057504 25999296512 26115364800 26659434900 26816563200 27856389120 28436730560 29249208576 29846131200 30467925600 31991321880 32499120640 33427666944 34124076672 34820486400 35545913200 36561510720 38998944768 39794841600 39989152350 40224844800 40623900800 41784583680 42655095840 45498768896 45701888400 46427315200 48748680960 51186115008 52230729600 53318869800 55712778240 56873461120 58498417152 59692262400 60935851200 63982643760 64998241280 68248153344 69640972800 71091826400 73123021440 77997889536 79978304700 80449689600 81247801600 83569167360 85310191680 90997537792 91403776800 92854630400 97497361920 102372230016 104461459200 106637739600 113746922240 116996834304 119384524800 121871702400 127965287520 129996482560 136496306688 139281945600 142183652800 146246042880 159956609400 162495603200 167138334720 170620383360 181995075584 182807553600 194994723840 204744460032 208922918400 213275479200 227493844480 233993668608 243743404800 255930575040 272992613376 278563891200 284367305600 292492085760 319913218800 324991206400 341240766720 365615107200 389989447680 409488920064 417845836800 426550958400 454987688960 487486809600 511861150080 545985226752 568734611200 584984171520 639826437600 649982412800 682481533440 731230214400 818977840128 835691673600 853101916800 909975377920 974973619200 1023722300160 1137469222400 1169968343040 1279652875200 1364963066880 1462460428800 1637955680256 1706203833600 1949947238400 2047444600320 2274938444800 2559305750400 2729926133760 2924920857600 3412407667200 4094889200640 4549876889600 5118611500800 5849841715200 6824815334400 8189778401280 10237223001600 13649630668800 20474446003200 40948892006400
• Sum of all divisors σ(n): 171359653374000
• Sum of proper divisors (its aliquot sum) s(n): 130410761367600
• 40948892006400 is an abundant number, because the sum of its proper divisors (130410761367600) is greater than itself. Its abundance is 89461869361200

Bases of 40948892006400

• Binary: 1001010011111000101000001010010111100000000000₂
• Hexadecimal: 0x253E28297800
• Base-36: EIJNT14W0

Squares and roots of 40948892006400

• 40948892006400 squared (40948892006400²) is 1676811756551809817640960000
• 40948892006400 cubed (40948892006400³) is 68663583534101947869050948649222144000000
• The square root of 40948892006400 is 6399132.1291562655
• The cube root of 40948892006400 is 34467.8386849883

Scales and comparisons

• 40,948,892,006,400 seconds is equal to 1,302,048 years, 5 weeks, 2 days, 8 hours.
• To count from 1 to 40,948,892,006,400 would take you about three million, two hundred fifty-five thousand, one hundred twenty 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 40948892006400 cubic inches would be around 2872.3 feet tall.

Recreational maths with 40948892006400

• 40948892006400 backwards is 00460029884904
• The number of decimal digits it has is: 14
• The sum of 40948892006400's digits is 54
• More coming soon!