138268807443360
138,268,807,443,360 is an even composite number composed of six prime numbers multiplied together.
What does the number 138268807443360 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
138268807443360 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138268807443360:
25 × 32 × 5 × 11 × 293 × 713
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 29 × 29 × 29 × 71 × 71 × 71)See below for interesting mathematical facts about the number 138268807443360 from the Numbermatics database.
Names of 138268807443360
- Cardinal: 138268807443360 can be written as One hundred thirty-eight trillion, two hundred sixty-eight billion, eight hundred seven million, four hundred forty-three thousand, three hundred sixty.
Scientific notation
- Scientific notation: 1.3826880744336 × 1014
Factors of 138268807443360
Divisors of 138268807443360
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 29 30 32 33 36 40 44 45 48 55 58 60 66 71 72 80 87 88 90 96 99 110 116 120 132 142 144 145 160 165 174 176 180 198 213 220 232 240 261 264 284 288 290 319 330 348 352 355 360 396 426 435 440 464 480 495 522 528 568 580 638 639 660 696 710 720 781 792 841 852 870 880 928 957 990 1044 1056 1065 1136 1160 1276 1278 1305 1320 1392 1420 1440 1562 1584 1595 1682 1704 1740 1760 1914 1980 2059 2088 2130 2272 2320 2343 2523 2552 2556 2610 2640 2784 2840 2871 3124 3168 3190 3195 3364 3408 3480 3828 3905 3960 4118 4176 4205 4260 4640 4686 4785 5041 5046 5104 5112 5220 5280 5680 5742 6177 6248 6380 6390 6728 6816 6960 7029 7569 7656 7810 7920 8236 8352 8410 8520 9251 9372 9570 10082 10092 10208 10224 10295 10440 11360 11484 11715 12354 12496 12615 12760 12780 13456 13920 14058 14355 15123 15138 15312 15620 15840 16472 16820 17040 18502 18531 18744 19140 20164 20184 20448 20590 20880 22649 22968 23430 24389 24708 24992 25205 25230 25520 25560 26912 27753 28116 28710 30246 30276 30624 30885 31240 32944 33640 34080 35145 37004 37062 37488 37845 38280 40328 40368 41180 41760 45298 45369 45936 46255 46860 48778 49416 50410 50460 51040 51120 55451 55506 56232 57420 59711 60492 60552 61770 62480 65888 67280 67947 70290 73167 74008 74124 74976 75615 75690 76560 80656 80736 82360 83259 90596 90738 91872 92510 92655 93720 97556 98832 100820 100920 102240 110902 111012 112464 113245 114840 119422 120984 121104 121945 123540 124960 134560 135894 138765 140580 146189 146334 148016 148248 151230 151380 153120 161312 164720 166353 166518 179133 181192 181476 185020 185310 187440 195112 197664 201640 201840 203841 219501 221804 222024 224928 226490 226845 229680 238844 241968 242208 243890 247080 268279 271788 277255 277530 281160 292378 292668 296032 296496 298555 302460 302760 329440 332706 333036 339735 357911 358266 362384 362952 365835 370040 370620 374880 390224 403280 403680 407682 416295 438567 439002 443608 444048 452980 453690 459360 477688 483936 487780 494160 499059 536558 537399 543576 554510 555060 562320 584756 585336 592992 597110 604920 605520 656821 665412 666072 679470 715822 716532 724768 725904 730945 731670 740080 741240 780448 804837 806560 815364 831765 832590 877134 878004 887216 888096 895665 905960 907380 955376 975560 988320 998118 1019205 1073116 1073733 1074798 1087152 1097505 1109020 1110120 1124640 1169512 1170672 1194220 1209840 1211040 1313642 1315701 1330824 1332144 1341395 1358940 1431644 1433064 1451808 1461890 1463340 1480160 1482480 1608079 1609674 1630728 1663530 1665180 1731619 1754268 1756008 1774432 1789555 1791330 1811920 1814760 1910752 1951120 1970463 1996236 2038410 2146232 2147466 2149596 2174304 2192835 2195010 2218040 2220240 2339024 2341344 2388440 2414511 2419680 2495295 2627284 2631402 2661648 2664288 2682790 2686995 2717880 2863288 2866128 2923780 2926680 2964960 3216158 3219348 3221199 3261456 3284105 3327060 3330360 3463238 3508536 3512016 3579110 3582660 3623840 3629520 3902240 3937021 3940926 3992472 4024185 4076820 4239481 4292464 4294932 4299192 4385670 4390020 4436080 4440480 4678048 4776880 4824237 4829022 4990590 5194857 5254568 5262804 5323296 5365580 5368665 5373990 5435760 5726576 5732256 5847560 5853360 5911389 6432316 6438696 6442398 6522912 6568210 6578505 6654120 6660720 6926476 7017072 7024032 7158220 7165320 7259040 7874042 7881852 7984944 8040395 8048370 8153640 8478962 8584928 8589864 8598384 8658095 8771340 8780040 8872160 9553760 9648474 9658044 9852315 9981180 10379419 10389714 10509136 10525608 10731160 10737330 10747980 10871520 11453152 11695120 11706720 11811063 11822778 12072555 12718443 12864632 12877392 12884796 13136420 13157010 13308240 13321440 13852952 14034144 14316440 14330640 14472711 15584571 15748084 15763704 15969888 16080790 16096740 16105995 16307280 16957924 17179728 17196768 17316190 17542680 17560080 19047809 19296948 19316088 19685105 19704630 19962360 20758838 20779428 21018272 21051216 21197405 21462320 21474660 21495960 23390240 23622126 23645556 24121185 24145110 25436886 25729264 25754784 25769592 25974285 26272840 26314020 26616480 27705904 28632880 28661280 28945422 29556945 31138257 31169142 31496168 31527408 32161580 32193480 32211990 32614560 33915848 34359456 34632380 35085360 35120160 35433189 38095618 38155329 38593896 38632176 39370210 39409260 39924720 41517676 41558856 42102432 42394810 42924640 42949320 42991920 46634291 47244252 47291112 48242370 48290220 50873772 51458528 51539184 51897095 51948570 52545680 52628040 55411808 57143427 57265760 57890844 59055315 59113890 62276514 62338284 62992336 63054816 63592215 64323160 64386960 64423980 67831696 69264760 70170720 70866378 72363555 76191236 76310658 77187792 77264352 77922855 78740420 78818520 79849440 83035352 83117712 84789620 85898640 85983840 93268582 93414771 94488504 94582224 95239045 96484740 96580440 101747544 103078368 103794190 103897140 105091360 105256080 114173609 114286854 115781688 118110630 118227780 122944949 124553028 124676568 125984672 127184430 128646320 128773920 128847960 135663392 138529520 139902873 141732756 144727110 152382472 152621316 154375584 155691285 155845710 157480840 157637040 166070704 166235424 169579240 171430281 171797280 177165945 186537164 186829542 188977008 189164448 190478090 190776645 192969480 193160880 203495088 207588380 207794280 210512160 228347218 228573708 231563376 233171455 236221260 236455560 245889898 249106056 249353136 254368860 257292640 257695920 277059040 279805746 283465512 285717135 289454220 301003151 304764944 305242632 311382570 311691420 314961680 315274080 332141408 339158480 342520827 342860562 354331890 368834847 373074328 373659084 377954016 380956180 381553290 385938960 386321760 406990176 415176760 415588560 419708619 456694436 457147416 463126752 466342910 467073855 472442520 472911120 491779796 498212112 498706272 508737720 515391840 559611492 566931024 570868045 571434270 578908440 602006302 609529888 610485264 614724745 622765140 623382840 629923360 678316960 685041654 685721124 699514365 708663780 737669694 746148656 747318168 761912360 763106580 771877920 830353520 831177120 839417238 857151405 903009453 913388872 914294832 932685820 934147710 944885040 945822240 983559592 996424224 1017475440 1027562481 1106504541 1119222984 1133862048 1141736090 1142868540 1157816880 1204012604 1220970528 1229449490 1245530280 1246765680 1352394439 1370083308 1371442248 1399028730 1417327560 1475339388 1492297312 1494636336 1505015755 1523824720 1526213160 1660707040 1678834476 1712604135 1714302810 1806018906 1826777744 1828589664 1844174235 1865371640 1868295420 1889770080 1967119184 2034950880 2055124962 2098543095 2213009082 2238445968 2283472180 2285737080 2315633760 2408025208 2458898980 2491060560 2493531360 2704788878 2709028359 2740166616 2742884496 2798057460 2834655120 2950678776 2989272672 3010031510 3047649440 3052426320 3311034661 3357668952 3425208270 3428605620 3612037812 3653555488 3688348470 3730743280 3736590840 3934238368 4057183317 4110249924 4197086190 4426018164 4476891936 4515047265 4566944360 4571474160 4816050416 4917797960 4982121120 5137812405 5409577756 5418056718 5480333232 5485768992 5532522705 5596114920 5669310240 5901357552 6020063020 6104852640 6622069322 6715337904 6761972195 6850416540 6857211240 7224075624 7376696940 7461486560 7473181680 8114366634 8220499848 8394172380 8729091379 8852036328 9030094530 9133888720 9142948320 9632100832 9835595920 9933103983 10275624810 10819155512 10836113436 10960666464 11065045410 11192229840 11802715104 12040126040 12171549951 13244138644 13430675808 13523944390 13545141795 13700833080 13714422480 14448151248 14753393880 14946363360 16228733268 16440999696 16555173305 16788344760 17458182758 17704072656 18060189060 18267777440 19671191840 19866207966 20285916585 20551249620 21638311024 21672226872 22130090820 22384459680 24080252080 24343099902 26187274137 26488277288 27047888780 27090283590 27401666160 27428844960 28896302496 29506787760 29799311949 32457466536 32881999392 33110346610 33576689520 34916365516 35408145312 36120378120 39732415932 40571833170 41102499240 43276622048 43344453744 43645456895 44260181640 48160504160 48686199804 49665519915 52374548274 52976554576 54095777560 54180567180 54803332320 59013575520 59598623898 60857749755 64914933072 66220693220 67153379040 69832731032 72240756240 78561822411 79464831864 81143666340 82204998480 86688907488 87290913790 88520363280 96020005169 97372399608 99331039830 104749096548 105953109152 108191555120 108361134360 119197247796 121715499510 129829866144 130936370685 132441386440 139665462064 144481512480 148996559745 157123644822 158929663728 162287332680 164409996960 174581827580 177040726560 192040010338 194744799216 198662079660 209498193096 216383110240 216722268720 238394495592 243430999020 261872741370 264882772880 279330924128 288060015507 297993119490 314247289644 317859327456 324574665360 349163655160 384080020676 389489598432 392809112055 397324159320 418996386192 433444537440 476788991184 480100025845 486861998040 523745482740 529765545760 576120031014 595986238980 628494579288 649149330720 698327310320 768160041352 785618224110 794648318640 837992772384 864180046521 953577982368 960200051690 973723996080 1047490965480 1152240062028 1191972477960 1256989158576 1396654620640 1440300077535 1536320082704 1571236448220 1589296637280 1728360093042 1920400103380 1947447992160 2094981930960 2304480124056 2383944955920 2513978317152 2880600155070 3072640165408 3142472896440 3456720186084 3840800206760 4189963861920 4320900232605 4608960248112 4767889911840 5761200310140 6284945792880 6913440372168 7681600413520 8641800465210 9217920496224 11522400620280 12569891585760 13826880744336 15363200827040 17283600930420 23044801240560 27653761488672 34567201860840 46089602481120 69134403721680 138268807443360
- Sum of all divisors σ(n): 540735748600320
- Sum of proper divisors (its aliquot sum) s(n): 402466941156960
- 138268807443360 is an abundant number, because the sum of its proper divisors (402466941156960) is greater than itself. Its abundance is 264198133713600
Bases of 138268807443360
- Binary: 111110111000001001101110010011010110011101000002
- Hexadecimal: 0x7DC13726B3A0
- Base-36: 1D0FT9YG80
Squares and roots of 138268807443360
- 138268807443360 squared (1382688074433602) is 19118263111808965739608089600
- 138268807443360 cubed (1382688074433603) is 2643459440858206437971106246853749805056000
-
The
square root of 138268807443360 is 11758775.7629508353 -
The
cube root of 138268807443360 is 51710.0239638155
Scales and comparisons
How big is 138268807443360?- 138,268,807,443,360 seconds is equal to 4,396,520 years, 19 weeks, 6 days, 11 hours, 36 minutes.
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To count from 1 to 138,268,807,443,360 would take you about ten million, nine hundred ninety-one thousand, three hundred 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 138268807443360 cubic inches would be around 4309.2 feet tall.
Recreational maths with 138268807443360
- 138268807443360 backwards is 063344708862831
- The number of decimal digits it has is: 15
- The sum of 138268807443360's digits is 63
- More coming soon!
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The information we have on file for 138268807443360 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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