40106998099200

Names of 40106998099200

• Cardinal: 40106998099200 can be written as Forty trillion, one hundred six billion, nine hundred ninety-eight million, ninety-nine thousand, two hundred.

Scientific notation

• Scientific notation: 4.01069980992 × 10¹³

Factors of 40106998099200

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 50488

Divisors of 40106998099200

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 37 38 40 48 50 57 59 60 64 74 75 76 80 95 96 100 111 114 118 120 128 148 150 152 160 177 185 190 192 200 222 228 236 240 256 285 295 296 300 304 320 354 370 380 384 400 444 456 472 475 480 555 570 590 592 600 608 640 703 708 740 760 768 800 885 888 912 925 944 950 960 1110 1121 1140 1180 1184 1200 1216 1280 1406 1416 1425 1475 1480 1520 1600 1770 1776 1824 1850 1888 1900 1920 2109 2183 2220 2242 2280 2360 2368 2400 2432 2775 2812 2832 2850 2950 2960 3040 3200 3363 3515 3540 3552 3648 3700 3776 3800 3840 4218 4366 4425 4440 4484 4560 4720 4736 4800 4864 5550 5605 5624 5664 5700 5900 5920 6080 6400 6549 6726 7030 7080 7104 7296 7400 7552 7600 8436 8732 8850 8880 8968 9120 9440 9472 9600 10545 10915 11100 11210 11248 11328 11400 11800 11840 12160 13098 13452 14060 14160 14208 14592 14800 15104 15200 16815 16872 17464 17575 17700 17760 17936 18240 18880 19200 21090 21830 22200 22420 22496 22656 22800 23600 23680 24320 26196 26904 28025 28120 28320 28416 29600 30400 32745 33630 33744 34928 35150 35400 35520 35872 36480 37760 41477 42180 43660 44400 44840 44992 45312 45600 47200 47360 50363 52392 52725 53808 54575 56050 56240 56640 59200 60800 65490 67260 67488 69856 70300 70800 71040 71744 72960 75520 82954 84075 84360 87320 88800 89680 89984 91200 94400 100726 104784 105450 107616 109150 112100 112480 113280 118400 121600 124431 130980 134520 134976 139712 140600 141600 142080 143488 151089 163725 165908 168150 168720 174640 177600 179360 179968 182400 188800 201452 207385 209568 210900 215232 218300 224200 224960 226560 236800 248862 251815 261960 269040 269952 279424 281200 283200 286976 302178 327450 331816 336300 337440 349280 355200 358720 364800 377600 402904 414770 419136 421800 430464 436600 448400 449920 497724 503630 523920 538080 539904 558848 562400 566400 604356 622155 654900 663632 672600 674880 698560 710400 717440 755445 805808 829540 838272 843600 860928 873200 896800 899840 956897 995448 1007260 1036925 1047840 1076160 1124800 1132800 1208712 1244310 1259075 1309800 1327264 1345200 1349760 1397120 1434880 1510890 1611616 1659080 1676544 1687200 1746400 1793600 1863431 1913794 1990896 2014520 2073850 2095680 2152320 2249600 2417424 2488620 2518150 2619600 2654528 2690400 2699520 2794240 2870691 2971417 3021780 3110775 3223232 3318160 3374400 3492800 3587200 3726862 3777225 3827588 3981792 4029040 4147700 4191360 4304640 4499200 4784485 4834848 4977240 5036300 5239200 5309056 5380800 5590293 5741382 5942834 6043560 6221550 6446464 6636320 6748800 6985600 7174400 7453724 7554450 7655176 7963584 8058080 8295400 8382720 8914251 9317155 9568970 9669696 9954480 10072600 10478400 10618112 10761600 11180586 11482764 11885668 12087120 12443100 12892928 13272640 13497600 13971200 14353455 14857085 14907448 15108900 15310352 15927168 16116160 16590800 17828502 18634310 19137940 19339392 19908960 20145200 20956800 21523200 22361172 22965528 23771336 23922425 24174240 24886200 26545280 27951465 28706910 29714170 29814896 30217800 30620704 31854336 32232320 33181600 35405189 35657004 37268620 38275880 38678784 39817920 40290400 41913600 44571255 44722344 45931056 46585775 47542672 47844850 48348480 49772400 53090560 55902930 56456923 57413820 59428340 59629792 60435600 61241408 64464640 66363200 70810378 71314008 71767275 74285425 74537240 76551760 79635840 80580800 89142510 89444688 91862112 93171550 95085344 95689700 96696960 99544800 106215567 109942429 111805860 112913846 114827640 118856680 119259584 120871200 122482816 132726400 139757325 141620756 142628016 143534550 148570850 149074480 153103520 159271680 161161600 169370769 177025945 178285020 178889376 183724224 186343100 190170688 191379400 193393920 199089600 212431134 219884858 222856275 223611720 225827692 229655280 237713360 238519168 241742400 244965632 265452800 279514650 282284615 283241512 285256032 287069100 297141700 298148960 306207040 322323200 329827287 338741538 354051890 356570040 357778752 367448448 372686200 380341376 382758800 398179200 424862268 439769716 445712550 447223440 451655384 459310560 475426720 477038336 483484800 531077835 549712145 559029300 564569230 566483024 570512064 574138200 594283400 596297920 612414080 659654574 677483076 708103780 713140080 715557504 734896896 745372400 760682752 765517600 796358400 846853845 849724536 879539432 885129725 891425100 894446880 903310768 918621120 950853440 966969600 1062155670 1099424290 1118058600 1129138460 1132966048 1141024128 1148276400 1188566800 1192595840 1224828160 1319309148 1354966152 1411423075 1416207560 1426280160 1431115008 1490744800 1531035200 1649136435 1693707690 1699449072 1759078864 1770259450 1782850200 1788893760 1806621536 1837242240 1901706880 2088906151 2124311340 2198848580 2236117200 2258276920 2265932096 2282048256 2296552800 2377133600 2385191680 2638618296 2655389175 2709932304 2748560725 2822846150 2832415120 2852560320 2981489600 3062070400 3298272870 3387415380 3398898144 3518157728 3540518900 3565700400 3577787520 3613243072 3674484480 3803413760 4177812302 4234269225 4248622680 4397697160 4472234400 4516553840 4531864192 4593105600 4754267200 5277236592 5310778350 5419864608 5497121450 5645692300 5664830240 5705120640 5962979200 6124140800 6266718453 6596545740 6774830760 6797796288 7036315456 7081037800 7131400800 7155575040 7226486144 8245682175 8355624604 8468538450 8497245360 8795394320 8944468800 9033107680 9063728384 9186211200 9508534400 10444530755 10554473184 10621556700 10839729216 10994242900 11291384600 11329660480 11410241280 11925958400 12533436906 13193091480 13549661520 13595592576 14072630912 14162075600 14262801600 14452972288 16491364350 16711249208 16937076900 16994490720 17590788640 17888937600 18066215360 18372422400 19017068800 20889061510 21108946368 21243113400 21679458432 21988485800 22582769200 22659320960 25066873812 26386182960 27099323040 27191185152 28145261824 28324151200 28525603200 31333592265 32982728700 33422498416 33874153800 33988981440 35181577280 35777875200 36132430720 41778123020 42217892736 42486226800 43358916864 43976971600 45165538400 45318641920 50133747624 52222653775 52772365920 54198646080 56648302400 57051206400 62667184530 65965457400 66844996832 67748307600 67977962880 70363154560 72264861440 83556246040 84435785472 84972453600 87953943200 90331076800 100267495248 104445307550 105544731840 108397292160 113296604800 125334369060 131930914800 133689993664 135496615200 135955925760 140726309120 156667961325 167112492080 169944907200 175907886400 180662153600 200534990496 208890615100 211089463680 216794584320 226593209600 250668738120 263861829600 267379987328 270993230400 313335922650 334224984160 339889814400 351815772800 361324307200 401069980992 417781230200 422178927360 501337476240 527723659200 534759974656 541986460800 626671845300 668449968320 679779628800 703631545600 802139961984 835562460400 1002674952480 1055447318400 1083972921600 1253343690600 1336899936640 1604279923968 1671124920800 2005349904960 2110894636800 2506687381200 2673799873280 3342249841600 4010699809920 5013374762400 6684499683200 8021399619840 10026749524800 13368999366400 20053499049600 40106998099200
• Sum of all divisors σ(n): 145521661017600
• Sum of proper divisors (its aliquot sum) s(n): 105414662918400
• 40106998099200 is an abundant number, because the sum of its proper divisors (105414662918400) is greater than itself. Its abundance is 65307664819200

Bases of 40106998099200

• Binary: 1001000111101000100011010111111110110100000000₂
• Hexadecimal: 0x247A235FED00
• Base-36: E7SWF4WLC

Squares and roots of 40106998099200

• 40106998099200 squared (40106998099200²) is 1608571296529232413040640000
• 40106998099200 cubed (40106998099200³) is 64514965932325603947055977772351488000000
• The square root of 40106998099200 is 6333008.6135422239
• The cube root of 40106998099200 is 34229.9858131711

Scales and comparisons

• 40,106,998,099,200 seconds is equal to 1,275,278 years, 24 weeks, 6 days, 21 hours, 20 minutes.
• To count from 1 to 40,106,998,099,200 would take you about three million, one hundred eighty-eight thousand, one hundred ninety-six 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 40106998099200 cubic inches would be around 2852.5 feet tall.

Recreational maths with 40106998099200

• 40106998099200 backwards is 00299089960104
• 40106998099200 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 40106998099200's digits is 57
• More coming soon!