42444948853950400
42,444,948,853,950,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42444948853950400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 672 divisors.
42444948853950400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 42444948853950400:
26 × 52 × 17 × 41 × 43 × 19531 × 45319
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 17 × 41 × 43 × 19531 × 45319)See below for interesting mathematical facts about the number 42444948853950400 from the Numbermatics database.
Names of 42444948853950400
- Cardinal: 42444948853950400 can be written as Forty-two quadrillion, four hundred forty-four trillion, nine hundred forty-eight billion, eight hundred fifty-three million, nine hundred fifty thousand, four hundred.
Scientific notation
- Scientific notation: 4.24449488539504 × 1016
Factors of 42444948853950400
Divisors of 42444948853950400
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 32 34 40 41 43 50 64 68 80 82 85 86 100 136 160 164 170 172 200 205 215 272 320 328 340 344 400 410 425 430 544 656 680 688 697 731 800 820 850 860 1025 1075 1088 1312 1360 1376 1394 1462 1600 1640 1700 1720 1763 2050 2150 2624 2720 2752 2788 2924 3280 3400 3440 3485 3526 3655 4100 4300 5440 5576 5848 6560 6800 6880 6970 7052 7310 8200 8600 8815 11152 11696 13120 13600 13760 13940 14104 14620 16400 17200 17425 17630 18275 19531 22304 23392 27200 27880 28208 29240 29971 32800 34400 34850 35260 36550 39062 44075 44608 45319 46784 55760 56416 58480 59942 65600 68800 69700 70520 73100 78124 88150 90638 97655 111520 112832 116960 119884 139400 141040 146200 149855 156248 176300 181276 195310 223040 226595 233920 239768 278800 282080 292400 299710 312496 332027 352600 362552 390620 453190 479536 488275 557600 564160 584800 599420 624992 664054 705200 725104 749275 770423 781240 800771 839833 906380 959072 976550 1115200 1132975 1169600 1198840 1249984 1328108 1410400 1450208 1498550 1540846 1562480 1601542 1660135 1679666 1812760 1858079 1918144 1948717 1953100 2265950 2397680 2656216 2820800 2900416 2997100 3081692 3124960 3203084 3320270 3359332 3625520 3716158 3852115 3897434 3906200 4003855 4199165 4531900 4795360 5312432 5994200 6163384 6249920 6406168 6640540 6718664 7251040 7432316 7704230 7794868 7812400 8007710 8300675 8398330 9063800 9290395 9590720 9743585 10624864 11988400 12326768 12812336 13281080 13437328 13613107 14277161 14502080 14864632 15408460 15589736 15624800 16015420 16601350 16796660 18127600 18580790 19260575 19487170 20019275 20995825 21249728 23976800 24653536 25624672 26562160 26874656 27226214 28554322 29729264 30816920 31179472 31249600 31587343 32030840 33128189 33202700 33593320 34433153 36255200 37161580 38521150 38974340 40038550 41991650 46451975 47953600 48717925 49307072 51249344 53124320 53749312 54452428 57108644 59458528 61633840 62358944 63174686 64061680 66256378 66405400 67186640 68065535 68866306 71385805 72510400 74323160 77042300 77948680 79897397 80077100 83983300 92903950 97435850 106248640 108904856 114217288 118917056 123267680 124717888 126349372 128123360 132512756 132810800 134373280 136131070 137732612 142771610 148646320 154084600 155897360 157936715 159794794 160154200 165640945 167966600 172165765 185807900 194871700 217809712 228434576 246535360 252698744 256246720 265025512 265621600 268746560 272262140 275465224 285543220 297292640 308169200 311794720 315873430 319589588 320308400 331281890 335933200 340327675 344331530 356929025 371615800 389743400 399486985 435619424 456869152 505397488 530051024 531243200 544524280 550930448 571086440 585363601 594585280 616338400 623589440 631746860 639179176 640616800 662563780 671866400 680655350 688663060 713858050 743231600 779486800 789683575 798973970 828204725 860828825 871238848 885125389 913738304 1010794976 1060102048 1089048560 1101860896 1142172880 1170727202 1232676800 1263493720 1278358352 1281233600 1325127560 1343732800 1358255749 1361310700 1377326120 1427716100 1486463200 1558973600 1579367150 1597947940 1656409450 1721657650 1770250778 1997434925 2021589952 2120204096 2178097120 2203721792 2284345760 2341454404 2526987440 2556716704 2650255120 2716511498 2722621400 2754652240 2855432200 2926818005 2972926400 3117947200 3158734300 3195895880 3312818900 3443315300 3540501556 3994869850 4356194240 4425626945 4568691520 4682908808 5053974880 5113433408 5300510240 5433022996 5445242800 5509304480 5710864400 5853636010 6317468600 6391791760 6625637800 6791278745 6886630600 7081003112 7989739700 8851253890 9365817616 10107949760 10601020480 10866045992 10890485600 11018608960 11421728800 11707272020 12634937200 12783583520 13251275600 13582557490 13773261200 14162006224 14634090025 15047131613 15979479400 17702507780 18731635232 21732091984 21780971200 22128134725 22843457600 23414544040 25269874400 25567167040 26502551200 27165114980 27546522400 28324012448 29268180050 30094263226 31958958800 33956393725 35405015560 36290140949 37463270464 38060391727 43464183968 44256269450 46829088080 50539748800 53005102400 54330229960 55093044800 56648024896 58536360100 60188526452 63917917600 67912787450 70810031120 72580281898 75235658065 76120783454 86928367936 88512538900 93658176160 108660459920 117072720200 120377052904 127835835200 135825574900 141620062240 145160563796 150471316130 152241566908 177025077800 181450704745 187316352320 190301958635 217320919840 234145440400 240754105808 271651149800 283240124480 290321127592 300942632260 304483133816 354050155600 362901409490 376178290325 380603917270 434641839680 468290880800 481508211616 543302299600 580642255184 601885264520 608966267632 616932396133 647026659359 708100311200 725802818980 752356580650 761207834540 907253523725 936581761600 951509793175 963016423232 1086604599200 1161284510368 1203770529040 1217932535264 1233864792266 1294053318718 1416200622400 1451605637960 1504713161300 1522415669080 1560476060807 1814507047450 1903019586350 2173209198400 2322569020736 2407541058080 2435865070528 2467729584532 2588106637436 2903211275920 3009426322600 3044831338160 3084661980665 3120952121614 3235133296795 3629014094900 3806039172700 4815082116160 4935459169064 5176213274872 5806422551840 6018852645200 6089662676320 6169323961330 6241904243228 6470266593590 7258028189800 7612078345400 7802380304035 9870918338128 10352426549744 11612845103680 12037705290400 12179325352640 12338647922660 12483808486456 12940533187180 14516056379600 15224156690800 15423309903325 15604760608070 16175666483975 19741836676256 20704853099488 24075410580800 24677295845320 24967616972912 25881066374360 26528093033719 29032112759200 30448313381600 30846619806650 31209521216140 32351332967950 39011901520175 39483673352512 41409706198976 49354591690640 49935233945824 51762132748720 53056186067438 58064225518400 60896626763200 61693239613300 62419042432280 64702665935900 78023803040350 98709183381280 99870467891648 103524265497440 106112372134876 123386479226600 124838084864560 129405331871800 132640465168595 156047606080700 197418366762560 207048530994880 212224744269752 246772958453200 249676169729120 258810663743600 265280930337190 312095212161400 424449488539504 493545916906400 499352339458240 517621327487200 530561860674380 624190424322800 663202325842975 848898977079008 987091833812800 1035242654974400 1061123721348760 1248380848645600 1326404651685950 1697797954158016 2122247442697520 2496761697291200 2652809303371900 4244494885395040 5305618606743800 8488989770790080 10611237213487600 21222474426975200 42444948853950400
- Sum of all divisors σ(n): 115924839580408320
- Sum of proper divisors (its aliquot sum) s(n): 73479890726457920
- 42444948853950400 is an abundant number, because the sum of its proper divisors (73479890726457920) is greater than itself. Its abundance is 31034941872507520
Bases of 42444948853950400
- Binary: 100101101100101101110100110000101111001100000111110000002
- Hexadecimal: 0x96CB74C2F307C0
- Base-36: BLXH8BFJDTS
Squares and roots of 42444948853950400
- 42444948853950400 squared (424449488539504002) is 1801573683214465374389685660160000
- 42444948853950400 cubed (424449488539504003) is 76467702840661023074236731828058697047896064000000
-
The
square root of 42444948853950400 is 206021719.3743183961 -
The
cube root of 42444948853950400 is 348825.8583225021
Scales and comparisons
How big is 42444948853950400?- 42,444,948,853,950,400 seconds is equal to 1,349,618,082 years, 36 weeks, 5 days, 21 hours, 46 minutes, 40 seconds.
-
To count from 1 to 42,444,948,853,950,400 would take you about four billion, forty-eight million, eight hundred fifty-four thousand, two hundred forty-eight 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 42444948853950400 cubic inches would be around 29068.8 feet tall.
Recreational maths with 42444948853950400
- 42444948853950400 backwards is 00405935884944424
- The number of decimal digits it has is: 17
- The sum of 42444948853950400's digits is 73
- More coming soon!
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The information we have on file for 42444948853950400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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