40228880742400

Names of 40228880742400

• Cardinal: 40228880742400 can be written as Forty trillion, two hundred twenty-eight billion, eight hundred eighty million, seven hundred forty-two thousand, four hundred.

Scientific notation

• Scientific notation: 4.02288807424 × 10¹³

Factors of 40228880742400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 747

Divisors of 40228880742400

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 50 56 62 64 70 80 100 112 124 128 140 155 160 175 200 217 224 248 256 271 280 310 320 350 400 431 434 448 496 512 542 560 620 640 700 775 800 862 868 896 961 992 1024 1084 1085 1120 1240 1280 1355 1400 1550 1600 1724 1736 1792 1897 1922 1984 2048 2155 2168 2170 2240 2480 2560 2710 2800 3017 3100 3200 3448 3472 3584 3794 3844 3968 4310 4336 4340 4480 4805 4960 5120 5420 5425 5600 6034 6200 6400 6727 6775 6896 6944 7168 7588 7688 7936 8401 8620 8672 8680 8960 9485 9610 9920 10240 10775 10840 10850 11200 12068 12400 12800 13361 13454 13550 13792 13888 14336 15085 15176 15376 15872 16802 17240 17344 17360 17920 18970 19220 19840 21550 21680 21700 22400 24025 24136 24800 25600 26722 26908 27100 27584 27776 30170 30352 30752 31744 33604 33635 34480 34688 34720 35840 37940 38440 39680 42005 43100 43360 43400 44800 47425 48050 48272 49600 51200 53444 53816 54200 55168 55552 58807 60340 60704 61504 63488 66805 67208 67270 68960 69376 69440 71680 75425 75880 76880 79360 84010 86200 86720 86800 89600 93527 94850 96100 96544 99200 106888 107632 108400 110336 111104 116801 117614 120680 121408 123008 133610 134416 134540 137920 138752 138880 150850 151760 153760 158720 168020 168175 172400 173440 173600 179200 187054 189700 192200 193088 198400 210025 213776 215264 216800 220672 222208 233602 235228 241360 242816 246016 260431 267220 268832 269080 275840 277504 277760 294035 301700 303520 307520 317440 334025 336040 336350 344800 346880 347200 358400 374108 379400 384400 386176 396800 414191 420050 427552 430528 433600 441344 444416 467204 467635 470456 482720 485632 492032 520862 534440 537664 538160 551680 555008 555520 584005 588070 603400 607040 615040 668050 672080 672700 689600 693760 694400 748216 758800 768800 772352 793600 817607 828382 840100 855104 861056 867200 882688 934408 935270 940912 965440 971264 984064 1041724 1068880 1075328 1076320 1103360 1111040 1168010 1176140 1206800 1214080 1230080 1302155 1336100 1344160 1345400 1379200 1387520 1388800 1470175 1496432 1517600 1537600 1544704 1587200 1635214 1656764 1680200 1710208 1722112 1734400 1823017 1868816 1870540 1881824 1930880 1942528 1968128 2070955 2083448 2137760 2150656 2152640 2206720 2222080 2336020 2338175 2352280 2413600 2428160 2460160 2604310 2672200 2688320 2690800 2758400 2775040 2777600 2899337 2920025 2940350 2992864 3035200 3075200 3089408 3270428 3313528 3360400 3420416 3444224 3468800 3620831 3646034 3737632 3741080 3763648 3861760 3885056 4088035 4141910 4166896 4275520 4301312 4305280 4413440 4672040 4676350 4704560 4827200 4856320 4920320 5208620 5344400 5376640 5381600 5516800 5555200 5798674 5840050 5880700 5985728 6070400 6150400 6178816 6510775 6540856 6627056 6720800 6840832 6888448 6937600 7241662 7292068 7475264 7482160 7527296 7723520 8176070 8283820 8333792 8551040 8602624 8610560 9115085 9344080 9352700 9409120 9654400 9712640 9840640 10354775 10417240 10688800 10753280 10763200 11033600 11110400 11597348 11680100 11761400 11971456 12140800 12300800 13021550 13081712 13254112 13441600 13681664 13776896 13875200 14483324 14496685 14584136 14950528 14964320 15054592 15447040 16352140 16567640 16667584 17102080 17205248 17221120 18104155 18230170 18688160 18705400 18818240 19308800 19425280 20440175 20709550 20834480 21377600 21506560 21526400 22067200 23194696 23360200 23522800 23942912 24281600 24601600 25345817 26043100 26163424 26508224 26883200 27363328 28966648 28993370 29168272 29901056 29928640 30109184 30894080 32704280 33135280 33335168 34204160 34442240 36208310 36460340 37376320 37410800 37636480 38617600 40880350 41419100 41668960 42755200 43013120 43052800 45575425 46389392 46720400 47045600 47885824 48563200 49203200 50691634 52086200 52326848 53016448 53766400 57933296 57986740 58336544 59802112 59857280 60218368 65408560 66270560 66670336 68408320 68884480 72416620 72483425 72920680 74752640 74821600 75272960 77235200 81760700 82838200 83337920 85510400 86026240 86105600 90520775 91150850 92778784 93440800 94091200 95771648 97126400 101383268 104172400 104653696 106032896 107532800 112245761 115866592 115973480 116673088 119604224 119714560 120436736 126729085 130817120 132541120 133340672 136816640 144833240 144966850 145841360 149505280 149643200 150545920 154470400 163521400 165676400 166675840 171020800 172211200 181041550 182301700 185557568 186881600 188182400 191543296 202766536 208344800 209307392 212065792 215065600 224491522 231733184 231946960 233346176 239208448 239429120 253458170 261634240 265082240 266681344 289666480 289933700 291682720 299010560 299286400 301091840 327042800 331352800 333351680 342041600 344422400 362083100 364603400 371115136 373763200 376364800 405533072 416689600 418614784 424131584 430131200 448983044 463466368 463893920 466692352 478858240 506916340 523268480 530164480 533362688 561228805 579332960 579867400 583365440 598021120 598572800 602183680 633645425 654085600 662705600 666703360 684083200 724166200 729206800 742230272 747526400 752729600 785720327 811066144 833379200 837229568 848263168 897966088 926932736 927787840 933384704 957716480 1013832680 1046536960 1060328960 1122457610 1158665920 1159734800 1166730880 1196042240 1197145600 1267290850 1308171200 1325411200 1333406720 1448332400 1458413600 1484460544 1495052800 1505459200 1571440654 1622132288 1666758400 1674459136 1795932176 1853865472 1855575680 1866769408 2027665360 2093073920 2120657920 2244915220 2317331840 2319469600 2333461760 2394291200 2534581700 2616342400 2650822400 2666813440 2806144025 2896664800 2916827200 2968921088 2990105600 3010918400 3142881308 3244264576 3333516800 3591864352 3707730944 3711151360 3733538816 3928601635 4055330720 4186147840 4241315840 4489830440 4634663680 4638939200 4666923520 4788582400 5069163400 5232684800 5301644800 5612288050 5793329600 5833654400 5937842176 5980211200 6285762616 6488529152 6667033600 7183728704 7415461888 7422302720 7857203270 8110661440 8372295680 8979660880 9269327360 9277878400 9333847040 10138326800 10465369600 10603289600 11224576100 11586659200 11667308800 12571525232 12977058304 13334067200 14367457408 14844605440 15714406540 16221322880 17959321760 18538654720 18555756800 18667694080 19643008175 20276653600 20930739200 21206579200 22449152200 23173318400 23334617600 25143050464 25954116608 28734914816 29689210880 31428813080 32442645760 35918643520 37077309440 37111513600 39286016350 40553307200 41861478400 44898304400 46346636800 46669235200 50286100928 51908233216 57469829632 62857626160 64885291520 71837287040 74223027200 78572032700 81106614400 89796608800 92693273600 93338470400 100572201856 114939659264 125715252320 129770583040 143674574080 148446054400 157144065400 162213228800 179593217600 185386547200 201144403712 229879318528 251430504640 259541166080 287349148160 314288130800 324426457600 359186435200 402288807424 502861009280 574698296320 628576261600 648852915200 718372870400 804577614848 1005722018560 1149396592640 1257152523200 1297705830400 1436745740800 1609155229696 2011444037120 2514305046400 2873491481600 4022888074240 5028610092800 5746982963200 8045776148480 10057220185600 20114440371200 40228880742400
• Sum of all divisors σ(n): 118497035704320
• Sum of proper divisors (its aliquot sum) s(n): 78268154961920
• 40228880742400 is an abundant number, because the sum of its proper divisors (78268154961920) is greater than itself. Its abundance is 38039274219520

Bases of 40228880742400

• Binary: 1001001001011010000100001001010111100000000000₂
• Hexadecimal: 0x249684257800
• Base-36: E9CW4WXZ4

Squares and roots of 40228880742400

• 40228880742400 squared (40228880742400²) is 1618362845786241575157760000
• 40228880742400 cubed (40228880742400³) is 65104925921065794689738253505921024000000
• The square root of 40228880742400 is 6342624.1211662543
• The cube root of 40228880742400 is 34264.6250056279

Scales and comparisons

• 40,228,880,742,400 seconds is equal to 1,279,153 years, 50 weeks, 3 days, 15 hours, 6 minutes, 40 seconds.
• To count from 1 to 40,228,880,742,400 would take you about three million, one hundred ninety-seven thousand, eight hundred eighty-four 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 40228880742400 cubic inches would be around 2855.4 feet tall.

Recreational maths with 40228880742400

• 40228880742400 backwards is 00424708882204
• The number of decimal digits it has is: 14
• The sum of 40228880742400's digits is 49
• More coming soon!