42148725945718392
42,148,725,945,718,392 is an even composite number composed of seven prime numbers multiplied together.
42148725945718392 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 42148725945718392:
23 × 33 × 7 × 11 × 13 × 172 × 8773
(2 × 2 × 2 × 3 × 3 × 3 × 7 × 11 × 13 × 17 × 17 × 877 × 877 × 877)See below for interesting mathematical facts about the number 42148725945718392 from the Numbermatics database.
Names of 42148725945718392
- Cardinal: 42148725945718392 can be written as Forty-two quadrillion, one hundred forty-eight trillion, seven hundred twenty-five billion, nine hundred forty-five million, seven hundred eighteen thousand, three hundred ninety-two.
Scientific notation
- Scientific notation: 4.2148725945718392 × 1016
Factors of 42148725945718392
Divisors of 42148725945718392
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 17 18 21 22 24 26 27 28 33 34 36 39 42 44 51 52 54 56 63 66 68 72 77 78 84 88 91 99 102 104 108 117 119 126 132 136 143 153 154 156 168 182 187 189 198 204 216 221 231 234 238 252 264 273 286 289 297 306 308 312 351 357 364 374 378 396 408 429 442 459 462 468 476 504 546 561 572 578 594 612 616 663 693 702 714 728 748 756 792 819 858 867 877 884 918 924 936 952 1001 1071 1092 1122 1144 1156 1188 1224 1287 1309 1326 1386 1404 1428 1496 1512 1547 1638 1683 1716 1734 1754 1768 1836 1848 1989 2002 2023 2079 2142 2184 2244 2312 2376 2431 2457 2574 2601 2618 2631 2652 2772 2808 2856 3003 3094 3179 3213 3276 3366 3432 3468 3508 3672 3757 3861 3927 3978 4004 4046 4158 4284 4488 4641 4862 4914 5049 5148 5202 5236 5262 5304 5544 5967 6006 6069 6139 6188 6358 6426 6552 6732 6936 7016 7293 7514 7722 7803 7854 7893 7956 8008 8092 8316 8568 9009 9282 9537 9647 9724 9828 10098 10296 10404 10472 10524 11271 11401 11781 11934 12012 12138 12278 12376 12716 12852 13464 13923 14586 14909 15028 15444 15606 15708 15786 15912 16184 16632 17017 18018 18207 18417 18564 19074 19294 19448 19656 20196 20808 21048 21879 22253 22542 22802 23562 23679 23868 24024 24276 24556 25432 25704 26299 27027 27846 28611 28941 29172 29818 30056 30888 31212 31416 31572 33813 34034 34203 35343 36036 36414 36834 37128 38148 38588 40392 41327 41769 43758 44506 44727 45084 45604 47124 47358 47736 48552 49112 51051 52598 54054 54621 55251 55692 57222 57882 58344 59636 62424 63144 65637 66759 67529 67626 68068 68406 70686 72072 72828 73668 76296 77176 78897 79807 82654 83538 85833 86823 87516 89012 89454 90168 91208 94248 94716 101439 102102 102609 104363 105196 108108 109242 110502 111384 114444 115764 119272 123981 125411 131274 133518 134181 135058 135252 136136 136812 141372 145656 147336 153153 157794 159614 163999 165308 165753 167076 171666 173646 175032 178024 178908 189432 193817 200277 202587 202878 204204 205218 208726 210392 216216 218484 221004 228888 231528 236691 239421 247962 250822 253453 260469 262548 267036 268362 270116 270504 273624 282744 289289 306306 307827 313089 315588 319228 327998 330616 331506 334152 343332 347292 357816 371943 376233 387634 400554 402543 405174 405756 408408 410436 417452 436968 442008 459459 473382 478842 491997 495924 501644 506906 520938 525096 534072 536724 540232 578578 581451 600831 607761 612612 615654 626178 631176 638456 655996 663012 686664 694584 710073 718263 743886 752466 760359 769129 775268 801108 805086 810348 811512 820872 834904 867867 877877 918918 939267 946764 957684 983994 991848 1003288 1013812 1041876 1073448 1115829 1128699 1147993 1157156 1162902 1201662 1215522 1225224 1231308 1252356 1311992 1326024 1356719 1420146 1436526 1475991 1487772 1504932 1520718 1538258 1550536 1602216 1610172 1620696 1735734 1744353 1755754 1774171 1823283 1837836 1878534 1893528 1915368 1967988 2027624 2083752 2131987 2154789 2231658 2257398 2281077 2295986 2307387 2314312 2325804 2403324 2431044 2462616 2504712 2603601 2633631 2713438 2787983 2817801 2840292 2873052 2951982 2975544 3009864 3041436 3076516 3220344 3294889 3386097 3443979 3471468 3488706 3511508 3548342 3646566 3675672 3757068 3935976 4070157 4263974 4309578 4427973 4463316 4514796 4562154 4591972 4614774 4651608 4806648 4862088 5207202 5233059 5267262 5322513 5383903 5426876 5575966 5635602 5680584 5746104 5903964 6082872 6153032 6395961 6589778 6772194 6843231 6887958 6922161 6942936 6977412 7023016 7096684 7293132 7514136 7810803 7900893 8140314 8363949 8460419 8527948 8619156 8855946 8926632 9029592 9124308 9183944 9229548 9884667 9998677 10331937 10414404 10466118 10534524 10645026 10767806 10853752 11151932 11271204 11807928 12210471 12791922 13075193 13179556 13544388 13686462 13775916 13844322 13954824 14193368 14586264 14923909 15621606 15801786 15967539 16151709 16280628 16727898 16920838 17055896 17238312 17711892 18248616 18459096 19187883 19515881 19769334 19997354 20663874 20766483 20828808 20932236 21069048 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84990292758 85668664536 88022199276 89037449556 91735554088 95357382549 96457237019 100966640346 102692565822 103202498349 103877024482 104026235508 104706145544 105226076748 108733304988 112028253624 113320390344 117794413737 121363941426 122763756206 126136386871 127143176732 127485439137 128502996804 132033298914 133556174334 134622187128 136923421096 137603331132 145697644728 149070275393 154038848733 155815536723 156039353262 157059218316 157839115122 160537219654 161818588568 166297995864 168042380436 169980585516 176044398552 178074899112 182045912139 184145634309 190714765098 192914474038 194938052437 200334261501 201933280692 205385131644 206404996698 207754048964 208052471016 210452153496 217466609976 222500559281 235588827474 236758672683 240805829481 242727882852 245527512412 252272773742 254286353464 254970878274 257005993608 264066597828 267112348668 275206662264 286072147647 289371711057 298140550786 308077697466 309607495047 311631073446 312078706524 314118436632 315678230244 321074439308 336084760872 339961171032 353383241211 364091824278 368291268618 378409160613 381429530196 385828948076 389876104874 400668523002 403866561384 410770263288 412809993396 415508097928 445001118562 447210826179 462116546199 467446610169 471177654948 473517345366 481611658962 485455765704 491055024824 504545547484 509941756548 528133195656 534224697336 546137736417 552436902927 572144295294 578743422114 584814157311 596281101572 616155394932 619214990094 623262146892 624157413048 631356460488 642148878616 667501677843 675200659133 706766482422 722417488443 728183648556 736582537236 756818321226 762859060392 771657896152 779752209748 801337046004 825619986792 858216442941 868115133171 882954708097 890002237124 894421652358 924233092398 934893220338 942355309896 947034690732 963223317924 1009091094968 1019883513096 1043491927751 1092275472834 1104873805854 1135227481839 1144288590588 1157486844228 1169628314622 1192562203144 1232310789864 1238429980188 1246524293784 1335003355686 1341632478537 1350401318266 1364566367059 1402339830507 1413532964844 1444834976886 1456367297112 1473165074472 1513636642452 1559504419496 1602674092008 1639773029323 1657310708781 1716432885882 1736230266342 1754442471933 1765909416194 1780004474248 1788843304716 1848466184796 1869786440676 1894069381464 1926446635848 2002505033529 2025601977399 2086983855502 2144318576807 2167252465329 2184550945668 2209747611708 2270454963678 2288577181176 2314973688456 2339256629244 2476859960376 2534194681681 2604345399513 2648864124291 2670006711372 2683264957074 2700802636532 2729132734118 2804679661014 2827065929688 2889669953772 3027273284904 3130475783253 3279546058646 3314621417562 3405682445517 3432865771764 3472460532684 3508884943866 3531818832388 3577686609432 3696932369592 3739572881352 4005010067058 4024897435611 4051203954798 4093699101177 4173967711004 4288637153614 4334504930658 4369101891336 4419495223416 4540909927356 4678513258488 4919319087969 5068389363362 5208690799026 5263327415799 5297728248582 5340013422744 5366529914148 5401605273064 5458265468236 5609359322028 5779339907544 6007515100587 6076805932197 6260951566506 6432955730421 6559092117292 6629242835124 6811364891034 6865731543528 6944921065368 7017769887732 7063637664776 7602584045043 7946592372873 8010020134116 8049794871222 8102407909596 8187398202354 8347935422008 8577274307228 8669009861316 9081819854712 9391427349759 9838638175938 10136778726724 10417381598052 10526654831598 10595456497164 10733059828296 10916530936472 11218718644056 11478411205261 12015030201174 12153611864394 12281097303531 12521903133012 12865911460842 13118184234584 13258485670248 13622729782068 14035539775464 14757957263907 15010230037649 15205168090086 15893184745746 16020040268232 16099589742444 16204815819192 16374796404708 17154548614456 17338019722632 17739362771767 18230417796591 18782854699518 19298867191263 19677276351876 20273557453448 20834763196104 21053309663196 21190912994328 22807752135129 22956822410522 23839777118619 24030060402348 24307223728788 24562194607062 25043806266024 25731822921684 27245459564136 27876141498491 28174282049277 29515914527814 30020460075298 30410336180172 31786369491492 32199179484888 32749592809416 34435233615783 35478725543534 36460835593182 36843291910593 37565709399036 38597734382526 39354552703752 42106619326392 44273871791721 45030690112947 45615504270258 45913644821044 47679554237238 48060120804696 48614447457576 49124389214124 51463645843368 53218088315301 55752282996982 56348564098554 57896601573789 59031829055628 60040920150596 60820672360344 63572738982984 68423256405387 68870467231566 70957451087068 72921671186364 73686583821186 75131418798072 77195468765052 83628424495473 88547743583442 90061380225894 91231008540516 91827289642088 95359108474476 98248778428248 103305700847349 106436176630602 111504565993964 112697128197108 115793203147578 118063658111256 120081840301192 135092070338841 136846512810774 137740934463132 141914902174136 145843342372728 147373167642372 154390937530104 159654264945903 167256848990946 177095487166884 180122760451788 182462017081032 190718216948952 195132990489437 206611401694698 212872353261204 223009131987928 225394256394216 231586406295156 250885273486419 270184140677682 273693025621548 275481868926264 294746335284744 309917102542047 319308529891806 334513697981892 354190974333768 360245520903576 390265980978874 405276211016523 413222803389396 425744706522408 463172812590312 478962794837709 501770546972838 540368281355364 547386051243096 585398971468311 619834205084094 638617059783612 669027395963784 752655820459257 780531961957748 810552422033046 826445606778792 957925589675418 1003541093945676 1080736562710728 1170797942936622 1239668410168188 1277234119567224 1505311640918514 1561063923915496 1621104844066092 1756196914404933 1915851179350836 2007082187891352 2341595885873244 2479336820336376 3010623281837028 3242209688132184 3512393828809866 3831702358701672 4683191771746488 5268590743214799 6021246563674056 7024787657619732 10537181486429598 14049575315239464 21074362972859196 42148725945718392
- Sum of all divisors σ(n): 167179553839872000
- Sum of proper divisors (its aliquot sum) s(n): 125030827894153608
- 42148725945718392 is an abundant number, because the sum of its proper divisors (125030827894153608) is greater than itself. Its abundance is 82882101948435216
Bases of 42148725945718392
- Binary: 100101011011111000001010111111011011101011010110011110002
- Hexadecimal: 0x95BE0AFDBAD678
- Base-36: BJ0H5E484U0
Squares and roots of 42148725945718392
- 42148725945718392 squared (421487259457183922) is 1776515098847274758083676967065664
- 42148725945718392 cubed (421487259457183923) is 74877848039744603423476165270768711619176716492288
-
The
square root of 42148725945718392 is 205301548.8147091207 -
The
cube root of 42148725945718392 is 348012.4790349291
Scales and comparisons
How big is 42148725945718392?- 42,148,725,945,718,392 seconds is equal to 1,340,199,110 years, 26 weeks, 1 day, 14 hours, 13 minutes, 12 seconds.
-
To count from 1 to 42,148,725,945,718,392 would take you about four billion, twenty million, five hundred ninety-seven thousand, three hundred thirty-one 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 42148725945718392 cubic inches would be around 29001 feet tall.
Recreational maths with 42148725945718392
- 42148725945718392 backwards is 29381754952784124
- The number of decimal digits it has is: 17
- The sum of 42148725945718392's digits is 81
- More coming soon!
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"Number 42148725945718392 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 42148725945718392 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/42148725945718392/
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The information we have on file for 42148725945718392 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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