4042664956646400

Names of 4042664956646400

• Cardinal: 4042664956646400 can be written as Four quadrillion, forty-two trillion, six hundred sixty-four billion, nine hundred fifty-six million, six hundred forty-six thousand, four hundred.

Scientific notation

• Scientific notation: 4.0426649566464 × 10¹⁵

Factors of 4042664956646400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 5135

Divisors of 4042664956646400

• Number of divisors d(n): 1188
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 30 32 34 35 40 42 48 50 51 56 60 64 68 70 75 80 84 85 96 100 102 105 112 119 120 128 136 140 150 160 168 170 175 192 200 204 210 224 238 240 255 256 272 280 289 300 320 336 340 350 357 384 400 408 420 425 448 476 480 510 512 525 544 560 578 595 600 640 672 680 700 714 768 800 816 840 850 867 896 952 960 1020 1024 1050 1088 1120 1156 1190 1200 1275 1280 1344 1360 1400 1428 1445 1536 1600 1632 1680 1700 1734 1785 1792 1904 1920 2023 2040 2100 2176 2240 2312 2380 2400 2550 2560 2688 2720 2800 2856 2890 2975 3072 3200 3264 3360 3400 3468 3570 3584 3808 3840 4046 4080 4200 4335 4352 4480 4624 4760 4800 5100 5101 5120 5376 5440 5600 5712 5780 5950 6069 6400 6528 6720 6800 6936 7140 7168 7225 7616 7680 8092 8160 8400 8670 8704 8925 8960 9248 9520 9600 10115 10200 10202 10752 10880 11200 11424 11560 11900 12138 12800 13056 13440 13600 13872 14280 14450 15232 15303 15360 16184 16320 16800 17340 17408 17850 17920 18496 19040 19200 20230 20400 20404 21504 21675 21760 22400 22848 23120 23800 24276 25505 25600 26112 26880 27200 27744 28560 28900 30345 30464 30606 32368 32640 33600 34680 35700 35707 35840 36992 38080 38400 40460 40800 40808 43350 43520 44800 45696 46240 47600 48552 50575 51010 52224 53760 54400 55488 57120 57800 60690 60928 61212 64736 65280 67200 69360 71400 71414 73984 76160 76515 76800 80920 81600 81616 86700 86717 87040 89600 91392 92480 95200 97104 101150 102020 107121 107520 108800 110976 114240 115600 121380 121856 122424 127525 129472 130560 134400 138720 142800 142828 147968 151725 152320 153030 161840 163200 163232 173400 173434 178535 179200 182784 184960 190400 194208 202300 204040 214242 217600 221952 228480 231200 242760 244848 255050 258944 260151 261120 268800 277440 285600 285656 295936 303450 304640 306060 323680 326400 326464 346800 346868 357070 365568 369920 380800 382575 388416 404600 408080 428484 433585 435200 443904 456960 462400 485520 489696 510100 517888 520302 535605 537600 554880 571200 571312 606900 607019 609280 612120 647360 652800 652928 693600 693736 714140 739840 761600 765150 776832 809200 816160 856968 867170 887808 892675 913920 924800 971040 979392 1020200 1035776 1040604 1071210 1109760 1142400 1142624 1213800 1214038 1224240 1294720 1300755 1305600 1305856 1387200 1387472 1428280 1474189 1479680 1523200 1530300 1553664 1618400 1632320 1713936 1734340 1785350 1821057 1827840 1849600 1942080 1958784 2040400 2071552 2081208 2142420 2167925 2219520 2284800 2285248 2427600 2428076 2448480 2589440 2601510 2611712 2678025 2774400 2774944 2856560 2948378 3035095 3046400 3060600 3107328 3236800 3264640 3427872 3468680 3570700 3642114 3699200 3884160 3917568 4080800 4162416 4284840 4335850 4422567 4439040 4569600 4570496 4855200 4856152 4896960 5178880 5203020 5223424 5356050 5548800 5549888 5713120 5896756 6070190 6121200 6214656 6473600 6503775 6529280 6855744 6937360 7141400 7284228 7370945 7398400 7768320 7835136 8161600 8324832 8569680 8671700 8845134 9105285 9139200 9140992 9710400 9712304 9793920 10319323 10357760 10406040 10712100 11097600 11099776 11426240 11793512 12140380 12242400 12947200 13007550 13058560 13711488 13874720 14282800 14568456 14741890 15175475 15536640 15670272 16323200 16649664 17139360 17343400 17690268 18210570 18281984 19420800 19424608 19587840 20638646 20812080 21424200 22112835 22195200 22199552 22852480 23587024 24280760 24484800 25894400 26015100 26020201 26117120 27422976 27749440 28565600 29136912 29483780 30350950 30957969 31073280 32646400 33299328 34278720 34686800 35380536 36421140 36563968 36854725 38841600 38849216 39175680 41277292 41624160 42848400 44225670 44399104 45526425 45704960 47174048 48561520 48969600 51596615 51788800 52030200 52040402 54845952 55498880 57131200 58273824 58967560 60701900 61915938 65292800 66598656 68557440 69373600 70761072 72842280 73709450 77683200 77698432 78060603 78351360 82554584 83248320 85696800 88451340 88798208 91052850 91409920 94348096 97123040 97939200 103193230 104060400 104080804 109691904 110564175 110997760 114262400 116547648 117935120 121403800 123831876 130101005 130585600 133197312 137114880 138747200 141522144 145684560 147418900 154789845 155366400 155396864 156121206 165109168 166496640 171393600 176902680 182105700 182141407 182819840 188696192 194246080 195878400 206386460 208120800 208161608 221128350 221995520 228524800 233095296 235870240 242807600 247663752 257983075 260202010 266394624 274229760 277494400 283044288 291369120 294837800 309579690 310793728 312242412 330218336 332993280 342787200 353805360 364211400 364282814 377392384 388492160 390303015 391756800 412772920 416241600 416323216 442256700 442343417 443991040 457049600 466190592 471740480 485615200 495327504 515966150 520404020 546424221 548459520 554988800 566088576 582738240 589675600 619159380 621587456 624484824 650505025 660436672 665986560 685574400 707610720 728422800 728565628 754784768 773949225 776984320 780606030 825545840 832483200 832646432 884513400 884686834 910707035 914099200 932381184 943480960 971230400 990655008 1031932300 1040808040 1092848442 1109977600 1132177152 1165476480 1179351200 1238318760 1248969648 1301010050 1320873344 1327030251 1331973120 1371148800 1415221440 1456845600 1457131256 1509569536 1547898450 1553968640 1561212060 1651091680 1664966400 1665292864 1769026800 1769373668 1821414070 1864762368 1886961920 1942460800 1951515075 1981310016 2063864600 2081616080 2185696884 2211717085 2219955200 2264354304 2330952960 2358702400 2476637520 2497939296 2602020100 2641746688 2654060502 2732121105 2742297600 2830442880 2913691200 2914262512 3095796900 3096403919 3107937280 3122424120 3302183360 3329932800 3330585728 3538053600 3538747336 3642828140 3773923840 3884921600 3903030150 3962620032 4127729200 4163232160 4371393768 4423434170 4528708608 4553535175 4661905920 4717404800 4953275040 4995878592 5204040200 5283493376 5308121004 5464242210 5660885760 5827382400 5828525024 6191593800 6192807838 6244848240 6604366720 6635151255 6659865600 6661171456 7076107200 7077494672 7285656280 7519838089 7547847680 7769843200 7806060300 7925240064 8255458400 8326464320 8742787536 8846868340 9107070350 9289211757 9323811840 9434809600 9906550080 9991757184 10408080400 10566986752 10616242008 10928484420 11058585425 11321771520 11654764800 11657050048 12383187600 12385615676 12489696480 13208733440 13270302510 13322342912 13660605525 14152214400 14154989344 14571312560 15039676178 15482019595 15539686400 15612120600 15850480128 16510916800 16652928640 17485575072 17693736680 18214140700 18578423514 18869619200 19813100160 19983514368 20816160800 21232484016 21856968840 22117170850 22559514267 22643543040 23309529600 23314100096 24766375200 24771231352 24979392960 26417466880 26540605020 26644685824 27321211050 28304428800 28309978688 29142625120 30079352356 30964039190 31224241200 31700960256 33021833600 33175756275 33305857280 34971150144 35387473360 36428281400 37156847028 37599190445 37739238400 39626200320 39967028736 41632321600 42464968032 43713937680 44234341700 45119028534 46446058785 46619059200 46628200192 49532750400 49542462704 49958785920 52638866623 52834933760 53081210040 54642422100 56608857600 56619957376 58285250240 60158704712 61928078380 62448482400 66043667200 66351512550 66611714560 69942300288 70774946720 72856562800 74313694056 75198380890 77410097975 79252400640 79934057472 83264643200 84929936064 87427875360 88468683400 90238057068 92892117570 93256400384 99065500800 99084925408 99917571840 105277733246 106162420080 109284844200 112797571335 113217715200 113239914752 116570500480 120317409424 123856156760 124896964800 132087334400 132703025100 133223429120 139884600576 141549893440 145713125600 148627388112 150396761780 154820195950 157916599869 158504801280 166529286400 169859872128 174855750720 176937366800 180476114136 185784235140 186512800768 187995952225 198131001600 198169850816 199835143680 210555466492 212324840160 218569688400 225595142670 226479829504 232230293925 233141000960 240634818848 247712313520 249793929600 263194333115 264174668800 265406050200 279769201152 283099786880 291426251200 297254776224 300793523560 309640391900 315833199738 333058572800 339719744256 349711501440 353874733600 360952228272 371568470280 375991904450 396262003200 396339701632 399670287360 421110932984 424649680320 437139376800 451190285340 452959659008 464460587850 466282001920 481269637696 495424627040 499587859200 526388666230 530812100400 559538402304 563987856675 566199573760 582852502400 594509552448 601587047120 619280783800 631666399476 666117145600 679439488512 699423002880 707749467200 721904456544 743136940560 751983808900 789582999345 792524006400 792679403264 842221865968 849299360640 874278753600 902380570680 928921175700 932564003840 962539275392 990849254080 999175718400 1052777332460 1061624200800 1127975713350 1132399147520 1165705004800 1189019104896 1203174094240 1238561567600 1263332798952 1315971665575 1358878977024 1398846005760 1415498934400 1443808913088 1486273881120 1503967617800 1579165998690 1585358806528 1684443731936 1698598721280 1748557507200 1804761141360 1857842351400 1925078550784 1981698508160 1998351436800 2105554664920 2123248401600 2255951426700 2264798295040 2331410009600 2378038209792 2406348188480 2477123135200 2526665597904 2631943331150 2797692011520 2830997868800 2887617826176 2972547762240 3007935235600 3158331997380 3170717613056 3368887463872 3397197442560 3497115014400 3609522282720 3715684702800 3850157101568 3947914996725 3963397016320 4211109329840 4246496803200 4511902853400 4662820019200 4756076419584 4812696376960 4954246270400 5053331195808 5263886662300 5661995737600 5775235652352 5945095524480 6015870471200 6316663994760 6737774927744 6794394885120 6994230028800 7219044565440 7431369405600 7700314203136 7895829993450 7926794032640 8422218659680 8492993606400 9023805706800 9512152839168 9625392753920 9908492540800 10106662391616 10527773324600 11323991475200 11550471304704 11890191048960 12031740942400 12633327989520 13475549855488 13988460057600 14438089130880 14862738811200 15791659986900 15853588065280 16844437319360 16985987212800 18047611413600 19250785507840 19816985081600 20213324783232 21055546649200 23100942609408 23780382097920 24063481884800 25266655979040 26951099710976 28876178261760 29725477622400 31583319973800 33688874638720 33971974425600 36095222827200 38501571015680 39633970163200 40426649566464 42111093298400 47560764195840 48126963769600 50533311958080 53902199421952 57752356523520 59450955244800 63166639947600 67377749277440 72190445654400 79267940326400 80853299132928 84222186596800 96253927539200 101066623916160 115504713047040 118901910489600 126333279895200 134755498554880 144380891308800 161706598265856 168444373193600 192507855078400 202133247832320 237803820979200 252666559790400 269510997109760 288761782617600 336888746387200 404266495664640 505333119580800 577523565235200 673777492774400 808532991329280 1010666239161600 1347554985548800 2021332478323200 4042664956646400
• Sum of all divisors σ(n): 16224214697875104
• Sum of proper divisors (its aliquot sum) s(n): 12181549741228704
• 4042664956646400 is an abundant number, because the sum of its proper divisors (12181549741228704) is greater than itself. Its abundance is 8138884784582304

Bases of 4042664956646400

• Binary: 1110010111001100100001001000101011111101010000000000₂
• Hexadecimal: 0xE5CC848AFD400
• Base-36: 13T06N4O5XC

Squares and roots of 4042664956646400

• 4042664956646400 squared (4042664956646400²) is 16343139951696839191534632960000
• 4042664956646400 cubed (4042664956646400³) is 66069839164292550200361269381122536505344000000
• The square root of 4042664956646400 is 63581954.6463176925
• The cube root of 4042664956646400 is 159302.4970181275

Scales and comparisons

• 4,042,664,956,646,400 seconds is equal to 128,544,240 years, 43 weeks, 3 days, 21 hours, 20 minutes.
• To count from 1 to 4,042,664,956,646,400 would take you about three hundred eighty-five million, six hundred thirty-two thousand, seven hundred twenty-two 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 4042664956646400 cubic inches would be around 13275.2 feet tall.

Recreational maths with 4042664956646400

• 4042664956646400 backwards is 0046466594662404
• The number of decimal digits it has is: 16
• The sum of 4042664956646400's digits is 66
• More coming soon!