138536313988320
138,536,313,988,320 is an even composite number composed of six prime numbers multiplied together.
138536313988320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138536313988320:
25 × 33 × 5 × 41 × 973 × 857
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 41 × 97 × 97 × 97 × 857)See below for interesting mathematical facts about the number 138536313988320 from the Numbermatics database.
Names of 138536313988320
- Cardinal: 138536313988320 can be written as One hundred thirty-eight trillion, five hundred thirty-six billion, three hundred thirteen million, nine hundred eighty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3853631398832 × 1014
Factors of 138536313988320
Divisors of 138536313988320
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 41 45 48 54 60 72 80 82 90 96 97 108 120 123 135 144 160 164 180 194 205 216 240 246 270 288 291 328 360 369 388 410 432 480 485 492 540 582 615 656 720 738 776 820 857 864 873 970 984 1080 1107 1164 1230 1312 1440 1455 1476 1552 1640 1714 1746 1845 1940 1968 2160 2214 2328 2460 2571 2619 2910 2952 3104 3280 3428 3492 3690 3880 3936 3977 4285 4320 4365 4428 4656 4920 5142 5238 5535 5820 5904 6560 6856 6984 7380 7713 7760 7954 8570 8730 8856 9312 9409 9840 10284 10476 11070 11640 11808 11931 12855 13095 13712 13968 14760 15426 15520 15908 17140 17460 17712 18818 19680 19885 20568 20952 22140 23139 23280 23862 25710 26190 27424 27936 28227 29520 30852 31816 34280 34920 35137 35424 35793 37636 38565 39770 41136 41904 44280 46278 46560 47045 47724 51420 52380 56454 59040 59655 61704 63632 68560 69840 70274 71586 75272 77130 79540 82272 83129 83808 84681 88560 92556 94090 95448 102840 104760 105411 107379 112908 115695 119310 123408 127264 137120 139680 140548 141135 143172 150544 154260 159080 166258 169362 175685 177120 178965 185112 188180 190896 205680 209520 210822 214758 225816 231390 238620 246816 249387 254043 281096 282270 286344 301088 308520 316233 318160 332516 338724 351370 357930 370224 376360 381792 385769 411360 415645 419040 421644 423405 429516 451632 462780 477240 498774 508086 527055 536895 562192 564540 572688 617040 632466 636320 665032 677448 702740 715860 740448 748161 752720 771538 831290 843288 846810 859032 903264 912673 925560 948699 954480 997548 1016172 1054110 1073790 1124384 1129080 1145376 1157307 1234080 1246935 1264932 1270215 1330064 1354896 1405480 1431720 1496322 1505440 1543076 1581165 1662580 1686576 1693620 1718064 1825346 1851120 1897398 1908960 1928845 1995096 2032344 2108220 2147580 2244483 2258160 2314614 2493870 2529864 2540430 2660128 2709792 2738019 2810960 2863440 2992644 3086152 3162330 3325160 3373152 3387240 3408289 3436128 3471921 3650692 3702240 3740805 3794796 3857690 3990192 4064688 4216440 4295160 4488966 4516320 4563365 4629228 4743495 4987740 5059728 5080860 5476038 5621920 5726880 5786535 5985288 6172304 6324660 6650320 6774480 6816578 6943842 7301384 7481610 7589592 7715380 7980384 8063513 8129376 8214057 8432880 8590320 8977932 9126730 9258456 9486990 9975480 10119456 10161720 10224867 10415763 10952076 11222415 11573070 11970576 12344608 12649320 13300640 13548960 13633156 13690095 13887684 14602768 14963220 15179184 15430760 16127026 16428114 16865760 17041445 17180640 17359605 17955864 18253460 18516912 18973980 19950960 20323440 20449734 20831526 21904152 22444830 23146140 23941152 24190539 24642171 25298640 27266312 27380190 27775368 29205536 29926440 30358368 30674601 30861520 32254052 32856228 34082890 34719210 35911728 36506920 37033824 37419593 37947960 39901920 40317565 40646880 40899468 41070285 41663052 43808304 44889660 46292280 48381078 49284342 50597280 51124335 52078815 54532624 54760380 55550736 59852880 61349202 61723040 64508104 65712456 68165780 69438420 71823456 72571617 73013840 74839186 75895920 80635130 81798936 82140570 83326104 87616608 89779320 92023803 92584560 96762156 98568684 102248670 104157630 109065248 109520760 111101472 112258779 119705760 120952695 122698404 123210855 129016208 131424912 136331560 138876840 145143234 146027680 149678372 151791840 153373005 161270260 163597872 164281140 166652208 179558640 184047606 185169120 187097965 193524312 197137368 204497340 208315260 217714851 219041520 224517558 241905390 245396808 246421710 258032416 262849824 272663120 277753680 290286468 299356744 306746010 322540520 327195744 328562280 330604033 333304416 336776337 359117280 362858085 368095212 374195930 387048624 394274736 408994680 416630520 435429702 438083040 449035116 460119015 483810780 490793616 492843420 545326240 555507360 561293895 580572936 598713488 613492020 645081040 657124560 661208066 673552674 725716170 736190424 748391860 774097248 782160761 788549472 817989360 833261040 870859404 898070232 920238030 967621560 981587232 985686840 991812099 1010329011 1088574255 1122587790 1161145872 1197426976 1226984040 1290162080 1314249120 1322416132 1347105348 1451432340 1472380848 1496783720 1564321522 1635978720 1653020165 1666522080 1683881685 1741718808 1796140464 1840476060 1935243120 1971373680 1983624198 2020658022 2177148510 2245175580 2322291744 2346482283 2453968080 2644832264 2694210696 2902864680 2944761696 2975436297 2993567440 3128643044 3306040330 3367763370 3483437616 3592280928 3680952120 3870486240 3910803805 3942747360 3967248396 4041316044 4354297020 4490351160 4692964566 4907936160 4959060495 5051645055 5289664528 5388421392 5805729360 5950872594 5987134880 6257286088 6612080660 6735526740 6966875232 7039446849 7361904240 7821607610 7934496792 8082632088 8708594040 8926308891 8980702320 9385929132 9918120990 10103290110 10579329056 10776842784 11611458720 11732411415 11901745188 12514572176 13224161320 13471053480 14078893698 14723808480 14877181485 15643215220 15868993584 16165264176 17417188080 17852617782 17961404640 18771858264 19836241980 20206580220 21118340547 23464822830 23803490376 25029144352 26448322640 26942106960 28157787396 29754362970 31286430440 31737987168 32068591201 32330528352 34834376160 35197234245 35705235564 37543716528 39672483960 40413160440 42236681094 44631544455 46929645660 47606980752 52896645280 53884213920 56315574792 59508725940 62572860880 64137182402 70394468490 71410471128 75087433056 79344967920 80826320880 84473362188 89263088910 93859291320 95213961504 96205773603 105591702735 112631149584 119017451880 125145721760 128274364804 140788936980 142820942256 158689935840 160342956005 161652641760 168946724376 178526177820 187718582640 192411547206 211183405470 225262299168 238034903760 256548729608 281577873960 285641884512 288617320809 320685912010 337893448752 357052355640 375437165280 384823094412 422366810940 476069807520 481028868015 513097459216 563155747920 577234641618 641371824020 675786897504 714104711280 769646188824 844733621880 865851962427 962057736030 1026194918432 1126311495840 1154469283236 1282743648040 1428209422560 1443086604045 1539292377648 1689467243760 1731703924854 1924115472060 2308938566472 2565487296080 2886173208090 3078584755296 3378934487520 3463407849708 3848230944120 4329259812135 4617877132944 5130974592160 5772346416180 6926815699416 7696461888240 8658519624270 9235754265888 11544692832360 13853631398832 15392923776480 17317039248540 23089385664720 27707262797664 34634078497080 46178771329440 69268156994160 138536313988320
- Sum of all divisors σ(n): 502462978617600
- Sum of proper divisors (its aliquot sum) s(n): 363926664629280
- 138536313988320 is an abundant number, because the sum of its proper divisors (363926664629280) is greater than itself. Its abundance is 225390350640960
Bases of 138536313988320
- Binary: 111110111111111011111111100100010100100111000002
- Hexadecimal: 0x7DFF7FC8A4E0
- Base-36: 1D3UPCG3C0
Squares and roots of 138536313988320
- 138536313988320 squared (1385363139883202) is 19192310293470387705096422400
- 138536313988320 cubed (1385363139883203) is 2658831924977479596587243245487507386368000
-
The
square root of 138536313988320 is 11770145.0283469319 -
The
cube root of 138536313988320 is 51743.3500118207
Scales and comparisons
How big is 138536313988320?- 138,536,313,988,320 seconds is equal to 4,405,026 years, 13 weeks, 5 days, 1 hour, 12 minutes.
-
To count from 1 to 138,536,313,988,320 would take you about eleven million, twelve thousand, five hundred sixty-five 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 138536313988320 cubic inches would be around 4311.9 feet tall.
Recreational maths with 138536313988320
- 138536313988320 backwards is 023889313635831
- The number of decimal digits it has is: 15
- The sum of 138536313988320's digits is 63
- More coming soon!
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The information we have on file for 138536313988320 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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