40957009932800

Names of 40957009932800

• Cardinal: 40957009932800 can be written as Forty trillion, nine hundred fifty-seven billion, nine million, nine hundred thirty-two thousand, eight hundred.

Scientific notation

• Scientific notation: 4.09570099328 × 10¹³

Factors of 40957009932800

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 1076

Divisors of 40957009932800

• Number of divisors d(n): 1440
• Complete list of divisors:
  1 2 4 5 8 10 13 16 17 20 25 26 31 32 34 37 40 50 52 62 64 65 68 74 80 85 100 104 124 128 130 136 148 155 160 169 170 185 200 208 221 248 256 260 272 296 310 320 325 338 340 370 400 403 416 425 442 481 496 512 520 527 544 592 620 629 640 650 676 680 740 775 800 806 832 845 850 884 925 962 971 992 1040 1054 1088 1105 1147 1184 1240 1258 1280 1300 1352 1360 1480 1550 1600 1612 1664 1690 1700 1768 1850 1924 1942 1984 2015 2080 2108 2176 2210 2294 2368 2405 2480 2516 2560 2600 2635 2704 2720 2873 2960 3100 3145 3200 3224 3328 3380 3400 3536 3700 3848 3884 3968 4030 4160 4216 4225 4352 4420 4588 4736 4810 4855 4960 5032 5200 5239 5270 5408 5440 5525 5735 5746 5920 6200 6253 6290 6400 6448 6656 6760 6800 6851 7072 7400 7696 7768 7936 8060 8177 8320 8432 8450 8704 8840 9176 9472 9620 9710 9920 10064 10075 10400 10478 10540 10816 10880 11050 11470 11492 11840 12025 12400 12506 12580 12623 12800 12896 13175 13520 13600 13702 14144 14365 14800 14911 15392 15536 15725 15872 16120 16354 16507 16640 16864 16900 17680 18352 18944 19240 19420 19499 19840 20128 20150 20800 20956 21080 21632 21760 22100 22940 22984 23680 24050 24275 24800 25012 25160 25246 25792 26195 26350 27040 27200 27404 28288 28675 28730 29600 29822 30101 30784 31072 31265 31450 32240 32708 33014 33280 33728 33800 34255 35360 35927 36704 38480 38840 38998 39680 40256 40300 40885 41600 41912 42160 43264 43520 44200 45880 45968 47360 48100 48550 49600 50024 50320 50492 51584 52390 52700 54080 54400 54808 56576 57350 57460 59200 59644 60202 61568 62144 62530 62900 63115 64480 65416 66028 67456 67600 68510 70720 71825 71854 73408 74555 76960 77680 77996 79360 80512 80600 81770 82535 83200 83824 84320 86528 88400 89063 91760 91936 94720 96200 97100 97495 99200 100048 100640 100984 103168 104780 105400 106301 108160 108800 109616 113152 114700 114920 118400 119288 120404 123136 124288 125060 125800 126230 128960 130832 130975 132056 134912 135200 137020 141440 143650 143708 146816 149110 150505 153920 155360 155992 156325 161024 161200 163540 164099 165070 166400 167648 168640 171275 176800 178126 179635 183520 183872 192400 193843 194200 194990 198400 200096 201280 201968 204425 206336 209560 210800 212602 214591 216320 217600 219232 229400 229840 236800 238576 240808 246272 248576 250120 251600 252460 253487 257920 261664 261950 264112 269824 270400 274040 282880 287300 287416 293632 298220 301010 307840 310720 311984 312650 315575 322048 322400 327080 328198 330140 335296 337280 342550 353600 356252 359270 367040 367744 372775 384800 387686 388400 389980 391313 396800 400192 402560 403936 408850 412675 419120 421600 425204 429182 432640 438464 445315 458800 459680 467051 473600 477152 481616 487475 497152 500240 503200 504920 506974 511717 515840 523328 523900 528224 531505 540800 548080 565760 574600 574832 587264 596440 602020 610759 615680 621440 623968 625300 631150 644800 654160 656396 660280 670592 674560 685100 707200 712504 718540 734080 735488 745550 752525 769600 775372 776800 779960 782626 800384 805120 807872 817700 820495 825350 838240 843200 850408 858364 876928 890630 898175 917600 919360 934102 954304 963232 969215 974950 1000480 1006400 1009840 1013948 1023434 1031680 1046656 1047800 1056448 1063010 1072955 1081600 1096160 1113737 1149200 1149664 1192880 1204040 1221518 1231360 1242880 1247936 1250600 1262300 1267435 1289600 1308320 1312792 1320560 1341184 1349120 1370200 1414400 1425008 1437080 1468160 1470976 1491100 1505050 1539200 1550744 1553600 1559920 1565252 1600768 1610240 1615744 1635400 1640990 1650700 1676480 1686400 1700816 1716728 1753856 1781260 1796350 1835200 1838720 1868204 1908608 1926464 1938430 1949900 1956565 2000960 2012800 2019680 2027896 2046868 2093312 2095600 2112896 2126020 2145910 2163200 2192320 2226575 2227474 2298400 2299328 2335255 2385760 2408080 2443036 2485760 2495872 2501200 2524600 2534870 2558585 2579200 2616640 2625584 2641120 2657525 2682368 2740400 2789683 2828800 2850016 2874160 2936320 2982200 3010100 3053795 3078400 3101488 3107200 3119840 3130504 3201536 3231488 3270800 3281980 3295331 3301400 3352960 3372800 3401632 3433456 3507712 3562520 3592700 3670400 3677440 3736408 3817216 3852928 3876860 3899800 3913130 4001920 4025600 4039360 4055792 4093736 4102475 4186624 4191200 4225792 4252040 4291820 4384640 4453150 4454948 4596800 4598656 4670510 4771520 4816160 4846075 4886072 4991744 5002400 5049200 5069740 5087069 5117170 5158400 5233280 5251168 5282240 5315050 5364775 5480800 5568685 5579366 5700032 5748320 5964400 6020200 6071663 6107590 6156800 6202976 6214400 6239680 6261008 6337175 6462976 6541600 6563960 6590662 6602800 6652321 6705920 6745600 6803264 6866912 7125040 7185400 7340800 7354880 7472816 7634432 7705856 7753720 7799600 7826260 7939867 8003840 8051200 8078720 8111584 8187472 8204950 8382400 8451584 8504080 8583640 8769280 8906300 8909896 9193600 9197312 9341020 9543040 9632320 9692150 9772144 9782825 9983488 10004800 10098400 10139480 10174138 10234340 10466560 10502336 10564480 10630100 10729550 10961600 11137370 11158732 11400064 11496640 11676275 11928800 12040400 12143326 12215180 12405952 12428800 12479360 12522016 12674350 12792925 13083200 13127920 13181324 13205600 13304642 13411840 13606528 13733824 13948415 14250080 14370800 14478581 14681600 14945632 15268975 15411712 15507440 15599200 15652520 15879734 16007680 16157440 16223168 16374944 16409900 16476655 16764800 17008160 17167280 17538560 17812600 17819792 18387200 18394624 18682040 18933529 19086080 19264640 19384300 19544288 19565650 20009600 20196800 20278960 20348276 20468680 20933120 21004672 21128960 21260200 21459100 21923200 22274740 22317464 22800128 22993280 23352550 23857600 24080800 24286652 24430360 24811904 24958720 25044032 25348700 25435345 25585850 26166400 26255840 26362648 26411200 26609284 27213056 27467648 27843425 27896830 28500160 28741600 28957162 29891264 30358315 30537950 31014880 31198400 31305040 31759468 32314880 32446336 32749888 32819800 32953310 33261605 33529600 34016320 34334560 35625200 35639584 36774400 37364080 37867058 38172160 38529280 38768600 39088576 39131300 39699335 40019200 40393600 40557920 40696552 40937360 42009344 42257920 42520400 42918200 43846400 44549480 44634928 45600256 45986560 46705100 47715200 48161600 48573304 48860720 49623808 49917440 50088064 50697400 50870690 51171700 52332800 52511680 52725296 52822400 53218568 54426112 54935296 55686850 55793660 57000320 57483200 57914324 59782528 60716630 61075900 62029760 62396800 62610080 63518936 64892672 65499776 65639600 65906620 66523210 67059200 68032640 68669120 69742075 71250400 71279168 72392905 74728160 75734116 77058560 77537200 78177152 78262600 79398670 80038400 80787200 81115840 81393104 81874720 82383275 84018688 85040800 85836400 86480173 87692800 89098960 89269856 91973120 93410200 94667645 95430400 96323200 97146608 97721440 99247616 100176128 101394800 101741380 102343400 103218271 104665600 105023360 105450592 105644800 106437136 109870592 111373700 111587320 114000640 114966400 115828648 119565056 121433260 122151800 124059520 124793600 125220160 127037872 127176725 129785344 130999552 131279200 131813240 133046420 136065280 137338240 139484150 142500800 142558336 144785810 149456320 151468232 151791575 155074400 156354304 156525200 158797340 161574400 162231680 162786208 163749440 164766550 166308025 170081600 171672800 172960346 178197920 178539712 186820400 188221553 189335290 190860800 192646400 194293216 195442880 198496675 200352256 202789600 203482760 204686800 206436542 210046720 210901184 211289600 212874272 222747400 223174640 228001280 229932800 231657296 239130112 242866520 244303600 246135877 248119040 249587200 250440320 254075744 254353450 261999104 262558400 263626480 266092840 272130560 274676480 278968300 285001600 285116672 289571620 298912640 302936464 303583150 310148800 312708608 313050400 317594680 324463360 325572416 327498880 329533100 332616050 340163200 343345600 345920692 356395840 357079424 361964525 373640800 376443106 378670580 385292800 388586432 390885760 396993350 405579200 406965520 409373600 412873084 420093440 421802368 425748544 432400865 445494800 446349280 459865600 463314592 473338225 485733040 488607200 492271754 496238080 500880640 508151488 508706900 516091355 525116800 527252960 532185680 549352960 557936600 570003200 570233344 579143240 597825280 605872928 607166300 620297600 626100800 635189360 648926720 651144832 654997760 659066200 665232100 680326400 686691200 691841384 712791680 714158848 723929050 747281600 752886212 757341160 777172864 781771520 793986700 811158400 813931040 818747200 825746168 843604736 851497088 864801730 890989600 892698560 926629184 941107765 946676450 971466080 977214400 984543508 1001761280 1016302976 1017413800 1032182710 1050233600 1054505920 1064371360 1115873200 1140006400 1158286480 1195650560 1211745856 1214332600 1230679385 1240595200 1252201600 1270378720 1302289664 1309995520 1318132400 1330464200 1360652800 1373382400 1383682768 1425583360 1428317696 1447858100 1494563200 1505772424 1514682320 1554345728 1563543040 1587973400 1622316800 1627862080 1637494400 1651492336 1687209472 1702994176 1729603460 1781979200 1785397120 1853258368 1882215530 1893352900 1942932160 1954428800 1969087016 2032605952 2034827600 2064365420 2100467200 2109011840 2128742720 2162004325 2231746400 2316572960 2423491712 2428665200 2461358770 2481190400 2504403200 2540757440 2580456775 2604579328 2636264800 2660928400 2746764800 2767365536 2851166720 2895716200 2989126400 3011544848 3029364640 3108691456 3175946800 3199766401 3244633600 3255724160 3274988800 3302984672 3405988352 3459206920 3563958400 3570794240 3706516736 3764431060 3786705800 3885864320 3908857600 3938174032 4065211904 4069655200 4128730840 4218023680 4257485440 4324008650 4463492800 4633145920 4705538825 4846983424 4857330400 4922717540 5008806400 5081514880 5160913550 5272529600 5321856800 5534731072 5791432400 5978252800 6023089696 6058729280 6153396925 6351893600 6399532802 6511448320 6549977600 6605969344 6918413840 7127916800 7141588480 7413033472 7528862120 7573411600 7771728640 7817715200 7876348064 8139310400 8257461680 8436047360 8514970880 8648017300 8926985600 9266291840 9411077650 9693966848 9714660800 9845435080 10163029760 10321827100 10545059200 10643713600 11069462144 11582864800 12046179392 12117458560 12306793850 12703787200 12799065604 13022896640 13211938688 13836827680 14255833600 15057724240 15146823200 15543457280 15752696128 15998832005 16278620800 16514923360 17029941760 17296034600 17853971200 18532583680 18822155300 19429321600 19690870160 20326059520 20643654200 21090118400 21287427200 22138924288 23165729600 24092358784 24234917120 24613587700 25407574400 25598131208 26423877376 27673655360 30115448480 30293646400 31505392256 31997664010 32557241600 33029846720 34592069200 35707942400 37065167360 37644310600 38858643200 39381740320 41287308400 42180236800 42574854400 44277848576 46331459200 48184717568 48469834240 49227175400 50815148800 51196262416 52847754752 55347310720 60230896960 60587292800 63010784512 63995328020 65114483200 66059693440 69184138400 75288621200 77717286400 78763480640 79994160025 82574616800 85149708800 92662918400 96369435136 98454350800 101630297600 102392524832 110694621440 120461793920 121174585600 126021569024 127990656040 132119386880 138368276800 150577242400 157526961280 159988320050 165149233600 185325836800 196908701600 204785049664 221389242880 240923587840 242349171200 255981312080 264238773760 276736553600 301154484800 315053922560 319976640100 330298467200 393817403200 409570099328 481847175680 511962624160 553473107200 602308969600 630107845120 639953280200 660596934400 787634806400 819140198656 1023925248320 1106946214400 1204617939200 1279906560400 1321193868800 1575269612800 1638280397312 2047850496640 2409235878400 2559813120800 3150539225600 4095700993280 5119626241600 8191401986560 10239252483200 20478504966400 40957009932800
• Sum of all divisors σ(n): 123469804998144
• Sum of proper divisors (its aliquot sum) s(n): 82512795065344
• 40957009932800 is an abundant number, because the sum of its proper divisors (82512795065344) is greater than itself. Its abundance is 41555785132544

Bases of 40957009932800

• Binary: 1001010100000000001100000001110011001000000000₂
• Hexadecimal: 0x25400C073200
• Base-36: EINE28GZK

Squares and roots of 40957009932800

• 40957009932800 squared (40957009932800²) is 1677476662635477860515840000
• 40957009932800 cubed (40957009932800³) is 68704428333601461358821751811735552000000
• The square root of 40957009932800 is 6399766.3967366809
• The cube root of 40957009932800 is 34470.1162304503

Scales and comparisons

• 40,957,009,932,800 seconds is equal to 1,302,306 years, 11 weeks, 5 days, 19 hours, 33 minutes, 20 seconds.
• To count from 1 to 40,957,009,932,800 would take you about three million, two hundred fifty-five thousand, seven hundred sixty-five 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 40957009932800 cubic inches would be around 2872.5 feet tall.

Recreational maths with 40957009932800

• 40957009932800 backwards is 00823990075904
• The number of decimal digits it has is: 14
• The sum of 40957009932800's digits is 56
• More coming soon!