135397857878400

Names of 135397857878400

• Cardinal: 135397857878400 can be written as One hundred thirty-five trillion, three hundred ninety-seven billion, eight hundred fifty-seven million, eight hundred seventy-eight thousand, four hundred.

Scientific notation

• Scientific notation: 1.353978578784 × 10¹⁴

Factors of 135397857878400

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 3111

Divisors of 135397857878400

• Number of divisors d(n): 1536
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 25 26 30 32 34 39 40 48 50 51 52 60 61 64 65 68 75 78 80 85 96 100 102 104 120 122 128 130 136 150 156 160 170 183 192 195 200 204 208 221 240 244 255 260 272 300 305 312 320 325 340 366 384 390 400 401 408 416 425 442 480 488 510 520 544 600 610 624 640 650 663 680 732 780 793 800 802 816 832 850 884 915 960 975 976 1020 1037 1040 1088 1105 1200 1203 1220 1248 1275 1300 1326 1360 1464 1525 1560 1586 1600 1604 1632 1664 1700 1768 1830 1920 1950 1952 2005 2040 2074 2080 2176 2210 2379 2400 2406 2440 2496 2550 2600 2609 2652 2720 2928 3050 3111 3120 3172 3200 3208 3264 3315 3400 3536 3660 3900 3904 3965 4010 4080 4148 4160 4420 4575 4758 4800 4812 4880 4992 5100 5185 5200 5213 5218 5304 5440 5525 5856 6015 6100 6222 6240 6344 6416 6528 6630 6800 6817 7072 7320 7800 7808 7827 7930 8020 8160 8296 8320 8840 9150 9516 9600 9624 9760 10025 10200 10370 10400 10426 10436 10608 10880 11050 11712 11895 12030 12200 12444 12480 12688 12832 13045 13260 13481 13600 13634 14144 14640 15555 15600 15639 15654 15860 16040 16320 16575 16592 17680 18300 19032 19248 19520 19825 20050 20400 20451 20740 20800 20852 20872 21216 22100 23424 23790 24060 24400 24461 24888 24960 25376 25664 25925 26065 26090 26520 26962 27200 27268 28288 29280 30075 31110 31200 31278 31308 31720 32080 32640 33150 33184 33917 34085 35360 36600 38064 38496 39040 39135 39650 40100 40443 40800 40902 41480 41600 41704 41744 42432 44200 44353 47580 48120 48800 48922 49776 50752 51328 51850 52130 52180 53040 53924 54400 54536 58560 59475 60150 62220 62400 62556 62616 63440 64160 65225 66300 66368 67405 67834 68170 70720 73200 73383 76128 76992 77775 78195 78270 79300 80200 80886 81600 81804 82960 83408 83488 84864 88400 88621 88706 95160 96240 97600 97844 99552 101504 101751 102255 103700 104260 104360 106080 107848 109072 117120 118950 120300 122305 124440 124800 125112 125232 126880 128320 130325 130450 132600 132736 133059 134810 135668 136340 141440 146400 146766 152256 153984 155550 156390 156540 158600 159149 160400 161772 163200 163608 165920 166816 166976 169585 170425 176800 177242 177412 190320 192480 195200 195675 195688 199104 202215 203502 204510 207400 208520 208720 212160 215696 218144 221765 237900 240600 244610 248880 250224 250464 253760 256640 260650 260900 265200 265863 266118 269620 271336 272680 292800 293532 304512 311100 312780 313080 317200 317993 318298 320800 323544 327216 331840 333632 333952 337025 339170 340850 353600 354484 354824 366915 380640 384960 390975 391350 391376 398208 404430 407004 409020 414800 415837 417040 417440 424320 431392 436288 443105 443530 475800 477447 481200 489220 497760 500448 500928 507520 508755 511275 521300 521800 530400 531726 532236 539240 542672 545360 576589 585600 587064 611525 622200 625560 626160 634400 635986 636596 641600 647088 654432 663680 665295 667264 674050 678340 681700 707200 708968 709648 733830 761280 769920 781950 782700 782752 795745 808860 814008 818040 829600 831674 834080 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41848360 42538080 42578880 43139200 43244175 43247048 43288528 46127120 46965120 47698950 47744700 49654488 49900440 50044800 50218032 50878880 50927680 51723425 52310450 53172600 53223600 53227136 53356659 54058810 54110660 54267200 54402868 55352544 56717440 57658900 58706400 61054656 61113216 62068110 62375550 62772540 63598600 63659600 63818749 64708800 64870572 64932792 65120640 65443200 66205984 66533920 66957376 67638325 68003585 69190680 70343858 70896800 70964800 71142212 73803392 76318320 76391520 78275200 78465675 79840704 81088215 81165990 81400800 81604302 82757480 83167400 83696720 85076160 85157760 86488350 86494096 86577056 88927765 92254240 95397900 95489400 99308976 99800880 100436064 101757760 101855360 103446850 104620900 105515787 106345200 106447200 106713318 108117620 108221320 108534400 108805736 110705088 115317800 117412800 122109312 124136220 124751100 125545080 127197200 127319200 127637498 129417600 129741144 129865584 132411968 133067840 133914752 135147025 135276650 136007170 138381360 140687716 141793600 141929600 142284424 152636640 152783040 155170275 156931350 159681408 162176430 162331980 162801600 163208604 165514960 166334800 167393440 170152320 172976700 172988192 173154112 175859645 177855530 184508480 190795800 190978800 191456247 198617952 199601760 200872128 202914975 203515520 204010755 206893700 209241800 211031574 212690400 212894400 213426636 216235240 216442640 217611472 221410176 230635600 231212189 234825600 248272440 249502200 251090160 254394400 254638400 255274996 259482288 259731168 264823936 266135680 266783295 270294050 270553300 272014340 276762720 281375432 283587200 284568848 305273280 305566080 310340550 313862700 319093745 324352860 324663960 325603200 326417208 331029920 332669600 334786880 340017925 345953400 345976384 346308224 351719290 355711060 369016960 381591600 381957600 382912494 397235904 399203520 401744256 405441075 405829950 408021510 413787400 418483600 422063148 425380800 425788800 426853272 432470480 432885280 435222944 444638825 461271200 462424378 496544880 499004400 502180320 508788800 509276800 510549992 518964576 519462336 527578935 533566590 540588100 541106600 544028680 553525440 562750864 569137696 610546560 620681100 627725400 638187490 648705720 649327920 652834416 662059840 665339200 669573760 680035850 691906800 691952768 693636567 703438580 711422120 763183200 763915200 765824988 794471808 798407040 810882150 811659900 816043020 827574800 829643737 836967200 844126296 850761600 853706544 864940960 865770560 870445888 879298225 889277650 922542400 924848756 957281235 993089760 998008800 1004360640 1017577600 1020053775 1021099984 1037929152 1038924672 1055157870 1067133180 1081176200 1082213200 1084918733 1088057360 1107050880 1125501728 1138275392 1156060945 1241362200 1255450800 1276374980 1297411440 1298655840 1305668832 1324119680 1330678400 1333916475 1360071700 1383813600 1387273134 1406877160 1422844240 1526366400 1527830400 1531649976 1595468725 1621764300 1623319800 1632086040 1655149600 1659287474 1673934400 1688252592 1707413088 1729881920 1731541120 1740891776 1758596450 1778555300 1845084800 1849697512 1914562470 1986179520 1996017600 2008721280 2040107550 2042199968 2075858304 2110315740 2134266360 2162352400 2164426400 2169837466 2176114720 2251003456 2276550784 2312121890 2482724400 2488931211 2510901600 2552749960 2594822880 2597311680 2611337664 2637894675 2667832950 2720143400 2767627200 2774546268 2813754320 2845688480 3052732800 3063299952 3190937450 3243528600 3246639600 3254756199 3264172080 3310299200 3318574948 3347868800 3376505184 3414826176 3459763840 3468182835 3517192900 3557110600 3699395024 3829124940 3972359040 3992035200 4080215100 4084399936 4148218685 4220631480 4268532720 4324704800 4328852800 4339674932 4352229440 4502006912 4624243780 4786406175 4965448800 4977862422 5021803200 5105499920 5189645760 5194623360 5222675328 5275789350 5335665900 5424593665 5440286800 5535254400 5549092536 5627508640 5691376960 5780304725 6126599904 6381874900 6487057200 6493279200 6509512398 6528344160 6620598400 6637149896 6753010368 6829652352 6936365670 7034385800 7114221200 7398790048 7658249880 8160430200 8168799872 8296437370 8441262960 8537065440 8649409600 8657705600 8679349864 8704458880 9248487560 9572812350 9930897600 9955724844 10043606400 10210999840 10379291520 10551578700 10671331800 10849187330 10880573600 11098185072 11255017280 11382753920 11560609450 12253199808 12444656055 12763749800 12974114400 12986558400 13019024796 13056688320 13274299792 13506020736 13872731340 14068771600 14103943529 14228442400 14797580096 15316499760 16273780995 16320860400 16592874740 16882525920 17074130880 17298819200 17340914175 17358699728 18496975120 19145624700 19861795200 19911449688 20421999680 20741093425 21103157400 21342663600 21698374660 21761147200 22196370144 22510034560 23121218900 24506399616 24889312110 25527499600 25948228800 25973116800 26038049592 26113376640 26548599584 27122968325 27745462680 28137543200 28207887058 28456884800 29595160192 30632999520 32547561990 32641720800 33185749480 33765051840 34148261760 34681828350 34717399456 36993950240 38291249400 39822899376 40843999360 41482186850 42206314800 42311830587 42685327200 43396749320 43522294400 44392740288 46242437800 49778624220 51054999200 51896457600 52076099184 53097199168 54245936650 55490925360 56275086400 56415774116 56913769600 61265999040 62223280275 65095123980 65283441600 66371498960 67530103680 69363656700 69434798912 70519717645 73987900480 76582498800 79645798752 81368904975 82964373700 84412629600 84623661174 85370654400 86793498640 88785480576 92484875600 99557248440 102109998400 104152198368 106194398336 108491873300 110981850720 112550172800 112831548232 122531998080 124446560550 130190247960 130566883200 132742997920 138727313400 138869597824 141039435290 147975800960 153164997600 159291597504 162737809950 165928747400 168825259200 169247322348 170741308800 173586997280 184969751200 199114496880 204219996800 208304396736 211559152935 216983746600 221963701440 225663096464 248893121100 260380495920 265485995840 277454626800 282078870580 306329995200 318583195008 325475619900 331857494800 337650518400 338494644696 347173994560 352598588225 369939502400 398228993760 416608793472 423118305870 433967493200 443927402880 451326192928 497786242200 520760991840 530971991680 554909253600 564157741160 612659990400 650951239800 663714989600 676989289392 694347989120 705197176450 739879004800 796457987520 846236611740 867934986400 902652385856 995572484400 1041521983680 1057795764675 1109818507200 1128315482320 1301902479600 1327429979200 1353978578784 1410394352900 1592915975040 1692473223480 1735869972800 1805304771712 1991144968800 2083043967360 2115591529350 2219637014400 2256630964640 2603804959200 2654859958400 2707957157568 2820788705800 3384946446960 3471739945600 3982289937600 4231183058700 4513261929280 5207609918400 5415914315136 5641577411600 6769892893920 7964579875200 8462366117400 9026523858560 10415219836800 11283154823200 13539785787840 16924732234800 22566309646400 27079571575680 33849464469600 45132619292800 67698928939200 135397857878400
• Sum of all divisors σ(n): 518347079913600
• Sum of proper divisors (its aliquot sum) s(n): 382949222035200
• 135397857878400 is an abundant number, because the sum of its proper divisors (382949222035200) is greater than itself. Its abundance is 247551364156800

Bases of 135397857878400

• Binary: 11110110010010011000101001110001110000110000000₂
• Hexadecimal: 0x7B24C538E180
• Base-36: 1BZSX0PMDC

Squares and roots of 135397857878400

• 135397857878400 squared (135397857878400²) is 18332579918059404949186560000
• 135397857878400 cubed (135397857878400³) is 2482192050289817228838435424567394304000000
• The square root of 135397857878400 is 11636058.5198940967
• The cube root of 135397857878400 is 51349.6235976665

Scales and comparisons

• 135,397,857,878,400 seconds is equal to 4,305,233 years, 3 weeks, 3 days, 13 hours, 20 minutes.
• To count from 1 to 135,397,857,878,400 would take you about ten million, seven hundred sixty-three thousand and eighty-two 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 135397857878400 cubic inches would be around 4279.1 feet tall.

Recreational maths with 135397857878400

• 135397857878400 backwards is 004878758793531
• 135397857878400 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 135397857878400's digits is 75
• More coming soon!