401332628579126400
401,332,628,579,126,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 401332628579126400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 576 divisors.
401332628579126400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 401332628579126400:
27 × 32 × 52 × 13 × 307 × 3491646383
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 307 × 3491646383)See below for interesting mathematical facts about the number 401332628579126400 from the Numbermatics database.
Names of 401332628579126400
- Cardinal: 401332628579126400 can be written as Four hundred one quadrillion, three hundred thirty-two trillion, six hundred twenty-eight billion, five hundred seventy-nine million, one hundred twenty-six thousand, four hundred.
Scientific notation
- Scientific notation: 4.013326285791264 × 1017
Factors of 401332628579126400
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 3491646713
Divisors of 401332628579126400
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 128 130 144 150 156 160 180 192 195 200 208 225 234 240 260 288 300 307 312 320 325 360 384 390 400 416 450 468 480 520 576 585 600 614 624 640 650 720 780 800 832 900 921 936 960 975 1040 1152 1170 1200 1228 1248 1300 1440 1535 1560 1600 1664 1800 1842 1872 1920 1950 2080 2340 2400 2456 2496 2600 2763 2880 2925 3070 3120 3200 3600 3684 3744 3900 3991 4160 4605 4680 4800 4912 4992 5200 5526 5760 5850 6140 6240 7200 7368 7488 7675 7800 7982 8320 9210 9360 9600 9824 10400 11052 11700 11973 12280 12480 13815 14400 14736 14976 15350 15600 15964 18420 18720 19648 19955 20800 22104 23025 23400 23946 24560 24960 27630 28800 29472 30700 31200 31928 35919 36840 37440 39296 39910 41600 44208 46050 46800 47892 49120 55260 58944 59865 61400 62400 63856 69075 71838 73680 74880 79820 88416 92100 93600 95784 98240 99775 110520 117888 119730 122800 124800 127712 138150 143676 147360 159640 176832 179595 184200 187200 191568 196480 199550 221040 239460 245600 255424 276300 287352 294720 299325 319280 353664 359190 368400 374400 383136 399100 442080 478920 491200 510848 552600 574704 589440 598650 638560 718380 736800 766272 798200 884160 897975 957840 982400 1105200 1149408 1197300 1277120 1436760 1473600 1532544 1596400 1768320 1795950 1915680 2210400 2298816 2394600 2554240 2873520 2947200 3192800 3591900 3831360 4420800 4597632 4789200 5747040 6385600 7183800 7662720 8841600 9578400 11494080 12771200 14367600 19156800 22988160 28735200 38313600 57470400 114940800 3491646383 6983292766 10474939149 13966585532 17458231915 20949878298 27933171064 31424817447 34916463830 41899756596 45391402979 52374695745 55866342128 62849634894 69832927660 83799513192 87291159575 90782805958 104749391490 111732684256 125699269788 136174208937 139665855320 157124087235 167599026384 174582319150 181565611916 209498782980 223465368512 226957014895 251398539576 261873478725 272348417874 279331710640 314248174470 335198052768 349164638300 363131223832 408522626811 418997565960 446930737024 453914029790 502797079152 523746957450 544696835748 558663421280 628496348940 670396105536 680871044685 698329276600 726262447664 785620436175 817045253622 837995131920 907828059580 1005594158304 1047493914900 1071935439581 1089393671496 1117326842560 1134785074475 1256992697880 1340792211072 1361742089370 1396658553200 1452524895328 1571240872350 1634090507244 1675990263840 1815656119160 2011188316608 2042613134055 2094987829800 2143870879162 2178787342992 2234653685120 2269570148950 2513985395760 2723484178740 2793317106400 2905049790656 3142481744700 3215806318743 3268181014488 3351980527680 3404355223425 3631312238320 4022376633216 4085226268110 4189975659600 4287741758324 4357574685984 4539140297900 5027970791520 5359677197905 5446968357480 5586634212800 5810099581312 6284963489400 6431612637486 6536362028976 6703961055360 6808710446850 7262624476640 8170452536220 8379951319200 8575483516648 8715149371968 9078280595800 9647418956229 10055941583040 10213065670275 10719354395810 10893936714960 11173268425600 12569926978800 12863225274972 13072724057952 13617420893700 13935160714553 14525248953280 16079031593715 16340905072440 16759902638400 17150967033296 17430298743936 18156561191600 19294837912458 20111883166080 20426131340550 21438708791620 21787873429920 25139853957600 25726450549944 26145448115904 26798385989525 27234841787400 27870321429106 29050497906560 32158063187430 32681810144880 33519805276800 34301934066592 36313122383200 38589675824916 40852262681100 41805482143659 42877417583240 43575746859840 48237094781145 50279707915200 51452901099888 52290896231808 53596771979050 54469683574800 55740642858212 64316126374860 65363620289760 68603868133184 69675803572765 72626244766400 77179351649832 80395157968575 81704525362200 83610964287318 85754835166480 87151493719680 96474189562290 100559415830400 102905802199776 107193543958100 108939367149600 111481285716424 125416446430977 128632252749720 130727240579520 137207736266368 139351607145530 145252489532800 154358703299664 160790315937150 163409050724400 167221928574636 171509670332960 192948379124580 205811604399552 209027410718295 214387087916200 217878734299200 222962571432848 241185473905725 250832892861954 257264505499440 261454481159040 278703214291060 308717406599328 321580631874300 326818101448800 334443857149272 343019340665920 348379017863825 385896758249160 411623208799104 418054821436590 428774175832400 435757468598400 445925142865696 482370947811450 501665785723908 514529010998880 557406428582120 617434813198656 627082232154885 643161263748600 653636202897600 668887714298544 686038681331840 696758035727650 771793516498320 836109642873180 857548351664800 891850285731392 964741895622900 1003331571447816 1029058021997760 1045137053591475 1114812857164240 1234869626397312 1254164464309770 1286322527497200 1307272405795200 1337775428597088 1393516071455300 1543587032996640 1672219285746360 1715096703329600 1783700571462784 1929483791245800 2006663142895632 2058116043995520 2090274107182950 2229625714328480 2508328928619540 2572645054994400 2675550857194176 2787032142910600 3087174065993280 3135411160774425 3344438571492720 3430193406659200 3858967582491600 4013326285791264 4180548214365900 4459251428656960 5016657857239080 5145290109988800 5351101714388352 5574064285821200 6174348131986560 6270822321548850 6688877142985440 7717935164983200 8026652571582528 8361096428731800 8918502857313920 10033315714478160 10290580219977600 11148128571642400 12541644643097700 13377754285970880 15435870329966400 16053305143165056 16722192857463600 20066631428956320 22296257143284800 25083289286195400 26755508571941760 30871740659932800 33444385714927200 40133262857912640 44592514286569600 50166578572390800 66888771429854400 80266525715825280 100333157144781600 133777542859708800 200666314289563200 401332628579126400
- Sum of all divisors σ(n): 1547227703290389120
- Sum of proper divisors (its aliquot sum) s(n): 1145895074711262720
- 401332628579126400 is an abundant number, because the sum of its proper divisors (1145895074711262720) is greater than itself. Its abundance is 744562446132136320
Bases of 401332628579126400
- Binary: 101100100011101000111100110001110110011101110001100100000002
- Hexadecimal: 0x591D1E63B3B8C80
- Base-36: 31ROJKBEM1S0
Squares and roots of 401332628579126400
- 401332628579126400 squared (4013326285791264002) is 161067878762231024447745787176960000
- 401332628579126400 cubed (4013326285791264003) is 64641795163310224967953374600393063693839007744000000
-
The
square root of 401332628579126400 is 633508191.4064934961 -
The
cube root of 401332628579126400 is 737623.6336737217
Scales and comparisons
How big is 401332628579126400?- 401,332,628,579,126,400 seconds is equal to 12,761,136,185 years, 25 weeks, 2 days, 16 hours.
-
To count from 1 to 401,332,628,579,126,400 would take you about thirty-eight billion, two hundred eighty-three million, four hundred eight thousand, five hundred fifty-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 401332628579126400 cubic inches would be around 61468.6 feet tall.
Recreational maths with 401332628579126400
- 401332628579126400 backwards is 004621975826233104
- The number of decimal digits it has is: 18
- The sum of 401332628579126400's digits is 63
- More coming soon!
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The information we have on file for 401332628579126400 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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