138564514468842
138,564,514,468,842 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138564514468842 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 960 divisors.
138564514468842 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138564514468842:
2 × 3 × 74 × 112 × 31 × 61 × 127 × 331
(2 × 3 × 7 × 7 × 7 × 7 × 11 × 11 × 31 × 61 × 127 × 331)See below for interesting mathematical facts about the number 138564514468842 from the Numbermatics database.
Names of 138564514468842
- Cardinal: 138564514468842 can be written as One hundred thirty-eight trillion, five hundred sixty-four billion, five hundred fourteen million, four hundred sixty-eight thousand, eight hundred forty-two.
Scientific notation
- Scientific notation: 1.38564514468842 × 1014
Factors of 138564514468842
Divisors of 138564514468842
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 6 7 11 14 21 22 31 33 42 49 61 62 66 77 93 98 121 122 127 147 154 183 186 217 231 242 254 294 331 341 343 363 366 381 427 434 462 539 651 662 671 682 686 726 762 847 854 889 993 1023 1029 1078 1281 1302 1342 1397 1519 1617 1694 1778 1891 1986 2013 2046 2058 2317 2387 2401 2541 2562 2667 2794 2989 3038 3234 3641 3751 3773 3782 3937 4026 4191 4557 4634 4697 4774 4802 5082 5334 5673 5929 5978 6223 6951 7161 7203 7282 7381 7502 7546 7747 7874 8382 8967 9114 9394 9779 10261 10633 10923 11253 11319 11346 11811 11858 12446 13237 13902 14091 14322 14406 14762 15367 15494 16219 16709 17787 17934 18669 19558 20191 20522 20801 20923 21266 21846 22143 22506 22638 23241 23622 25487 26257 26411 26474 27559 28182 29337 30734 30783 31899 32438 32879 33418 35574 37338 39711 40051 40382 41503 41602 41846 42037 43307 43561 44286 46101 46482 48657 50127 50974 51667 52514 52822 54229 55118 58674 60573 61566 62403 62769 63798 65758 68453 71827 74431 76461 78771 79233 79422 80102 82677 83006 84074 85217 86614 87122 92202 92659 97314 98637 100254 103334 107569 108458 112871 113533 116963 120153 121146 124509 124806 125538 126111 129921 130683 136906 141337 143654 145607 146461 148862 152922 155001 157542 158466 162687 165354 170434 178409 183799 185318 192913 197274 205359 215138 215481 222101 223293 225742 227066 228811 230153 233926 240157 240306 249018 252222 255651 259842 261366 277977 280357 282674 290521 291214 292922 294259 303149 304927 310002 322707 325374 338613 340599 350889 356818 361669 367598 379603 385826 410718 424011 430962 436821 439383 444202 446586 457622 460306 462407 476377 479171 480314 502789 511302 535227 551397 555954 560714 578739 581042 588518 596519 606298 609854 625921 645414 648613 666303 677226 681198 686433 690459 701778 720471 723338 752983 759206 790097 794731 818741 841071 848022 871563 873642 878766 882777 909447 914781 924814 937387 952754 958342 989359 1005578 1019249 1070454 1085007 1102794 1138809 1157478 1193038 1241581 1248863 1251842 1286593 1297226 1303147 1332606 1350391 1372866 1380918 1387221 1429131 1437513 1440942 1505966 1508367 1554707 1580194 1589462 1601677 1611071 1637482 1681099 1682142 1743126 1765554 1789557 1818894 1829562 1874774 1877763 1945839 1962499 1978718 2038498 2059813 2122043 2170014 2258949 2277618 2370291 2384193 2443111 2456223 2483162 2497726 2531683 2564257 2573186 2606294 2641727 2657221 2700782 2774442 2812161 2858262 2875026 2968077 3016734 3057747 3109414 3203354 3222142 3236849 3334639 3354197 3362198 3519523 3579114 3724743 3746589 3755526 3859779 3891678 3909441 3924998 4051173 4119626 4175633 4244086 4381447 4517898 4540291 4664121 4740582 4768386 4805031 4833213 4886222 4912446 5043297 5063366 5086477 5128514 5270881 5283454 5314442 5530679 5624322 5887497 5936154 6115494 6179439 6366129 6473698 6561709 6669278 6708394 6885131 6925513 7039046 7134743 7329333 7449486 7493178 7595049 7692771 7719558 7818882 7925181 7971663 8102346 8351266 8691067 8742041 8762894 9006151 9080582 9122029 9328242 9452737 9610062 9666426 9710547 10003917 10062591 10086594 10172954 10541762 10558569 10882949 11061358 11211739 11767693 11774994 12358878 12526899 12732258 13123418 13144341 13620873 13737493 13770262 13851026 14269486 14334617 14418691 14658666 14854301 15190098 15259431 15385542 15812643 15850362 15943326 16592037 17101777 17382134 17484082 17721781 17949799 18012302 18244058 18492089 18600547 18905474 19421094 19685127 20007834 20125182 20655393 20776539 21117138 21404229 21765898 22423478 22657943 23342473 23535386 24636661 25053798 26073201 26226123 26288682 27018453 27241746 27366087 27474986 28206827 28358211 28669234 28837382 29058997 29229431 29708602 30518862 30670129 31625286 32648847 33184074 33635217 34203554 35303079 35443562 35605339 35899598 36896167 36984178 37201094 38714753 39370254 41212479 41310786 41553078 42808458 43003851 43256073 44562903 45315886 45931963 46684946 48195917 48478591 49273322 49943201 51305331 52146402 52452246 53165343 53849397 54036906 54732174 55476267 55801641 56413654 56716422 58117994 58458862 60837469 61340258 63854203 65297694 67270434 67973829 70027419 70606158 71210678 73792334 73909983 75736441 76180643 77429506 78482173 79491967 82373851 82424958 84620481 86007702 86512146 87176991 87688293 89125806 91863926 92010387 96162451 96391834 96957182 99886402 100342319 100930837 102610662 103980107 106330686 106816017 107698794 110688501 110952534 111603282 116144259 119712439 121674938 125648593 127708406 129444623 135947658 137795889 140054838 144587751 145435773 147819966 149829603 151472882 152361286 156964346 157680787 158605601 158983934 163397311 164747702 169240962 174353982 175376586 182512407 184020774 191562609 192324902 197447789 200684638 201861674 203412979 204606017 207960214 213632034 214690903 221377002 227209323 228541929 232288518 235446519 238475901 239424878 247121553 249237373 251297186 258889246 271003271 275591778 288487353 289175502 290871546 299659206 301026957 302792511 310275097 311940321 315361574 317211202 321523741 326794622 337371419 359137317 365024814 376945779 383125218 388333869 394895578 406825958 409212034 425862283 429381806 446979421 454418646 457083858 470893038 473042361 475816803 476951802 490191933 494243106 498474746 530155087 533264501 542006542 549375211 556443769 576616957 576974706 592343367 602053914 605585022 610238937 613818051 620550194 623880642 643047482 644072709 674742838 702396233 718274634 747712119 753891558 776667738 813009813 837987073 851724566 874411637 879540151 893958842 906112361 930825291 946084722 951633606 964571223 980383866 1012114257 1060310174 1066529002 1098750422 1103765509 1110239207 1112887538 1143781177 1153233914 1184686734 1220477874 1227636102 1277586849 1288145418 1340938263 1382134523 1404792466 1423890853 1495424238 1502836321 1590465261 1599793503 1626019626 1648125633 1669331307 1675974146 1729850871 1744661611 1748823274 1759080302 1812224722 1861650582 1929142446 2024228514 2107188699 2171925679 2207531018 2220478414 2250666187 2287562354 2361599933 2513961219 2555173698 2623234911 2638620453 2681876526 2718337083 2764269046 2847781706 2981035981 3005672642 3128855947 3180930522 3199587006 3296251266 3311296527 3330717621 3338662614 3431343531 3459701742 3489323222 3711085609 3895106383 4146403569 4214377398 4271672559 4343851358 4501332374 4508508963 4723199866 4916773631 5027922438 5233984833 5246469822 5277240906 5436674166 5865909511 5962071962 6120881459 6156781057 6257711894 6342786527 6515777037 6622593054 6661435242 6751998561 6862687062 7084799799 7422171218 7726358563 7790212766 8292807138 8543345118 8943107943 9017017926 9386567841 9618528007 9674941661 9833547262 9967235971 10467969666 11133256827 11685319149 11731819022 12212631277 12241762918 12313562114 12685573054 13031554074 13503997122 14169599598 14750320893 15203479753 15452717126 16531199531 17597728533 17886215886 18362644377 18470343171 18773135682 19028359581 19237056014 19349883322 19934471942 22266513654 23179075689 23370638298 24425262554 25977599263 27265744681 28855584021 29024824983 29500641786 29901707913 30406959506 33062399062 34417415417 35195457066 36637893831 36725288754 36940686342 38056719162 42846170213 45610439259 46358151378 49593598593 51955198526 54084509941 54531489362 57711168042 58049649966 59803415826 67329696049 67724591627 68834830834 69770651797 73275787662 77932797789 81797234043 85692340426 91220878518 99187197186 103252246251 106424358271 108169019882 128538510639 134659392098 135449183254 139541303594 155865595578 162253529823 163594468086 181843194841 190860212767 201989088147 203173774881 206504492502 209311955391 212848716542 257077021278 299923191491 319273074813 324507059646 363686389682 378591569587 381720425534 403978176294 406347549762 418623910782 471307872343 545529584523 572580638301 599846382982 638546149626 744970507897 757183139174 899769574473 942615744686 1091059169046 1135774708761 1145161276602 1413923617029 1489941015794 1799539148946 2099462340437 2234911523691 2271549417522 2827847234058 3299155106401 4198924680874 4469823047382 6298387021311 6598310212802 9897465319203 12596774042622 19794930638406 23094085744807 46188171489614 69282257234421 138564514468842
- Sum of all divisors σ(n): 376908313657344
- Sum of proper divisors (its aliquot sum) s(n): 238343799188502
- 138564514468842 is an abundant number, because the sum of its proper divisors (238343799188502) is greater than itself. Its abundance is 99779284719660
Bases of 138564514468842
- Binary: 111111000000110000100001010100111010011111010102
- Hexadecimal: 0x7E0610A9D3EA
- Base-36: 1D47NQA9D6
Squares and roots of 138564514468842
- 138564514468842 squared (1385645144688422) is 19200124669985923965388820964
- 138564514468842 cubed (1385645144688423) is 2660455952637834791630595361690497094403688
-
The
square root of 138564514468842 is 11771342.9339579603 -
The
cube root of 138564514468842 is 51746.8607359347
Scales and comparisons
How big is 138564514468842?- 138,564,514,468,842 seconds is equal to 4,405,922 years, 49 weeks, 3 days, 12 hours, 42 seconds.
-
To count from 1 to 138,564,514,468,842 would take you about eleven million, fourteen thousand, eight hundred seven 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 138564514468842 cubic inches would be around 4312.2 feet tall.
Recreational maths with 138564514468842
- 138564514468842 backwards is 248864415465831
- The number of decimal digits it has is: 15
- The sum of 138564514468842's digits is 69
- More coming soon!
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The information we have on file for 138564514468842 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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