135742590257940
135,742,590,257,940 is an even composite number composed of seven prime numbers multiplied together.
What does the number 135742590257940 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 972 divisors.
135742590257940 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 135742590257940:
22 × 32 × 5 × 372 × 412 × 672 × 73
(2 × 2 × 3 × 3 × 5 × 37 × 37 × 41 × 41 × 67 × 67 × 73)See below for interesting mathematical facts about the number 135742590257940 from the Numbermatics database.
Names of 135742590257940
- Cardinal: 135742590257940 can be written as One hundred thirty-five trillion, seven hundred forty-two billion, five hundred ninety million, two hundred fifty-seven thousand, nine hundred forty.
Scientific notation
- Scientific notation: 1.3574259025794 × 1014
Factors of 135742590257940
Divisors of 135742590257940
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 41 45 60 67 73 74 82 90 111 123 134 146 148 164 180 185 201 205 219 222 246 268 292 333 335 365 369 370 402 410 438 444 492 555 603 615 657 666 670 730 738 740 804 820 876 1005 1095 1110 1206 1230 1314 1332 1340 1369 1460 1476 1517 1665 1681 1845 2010 2190 2220 2412 2460 2479 2628 2701 2738 2747 2993 3015 3034 3285 3330 3362 3690 4020 4107 4380 4489 4551 4891 4958 5043 5402 5476 5494 5986 6030 6068 6570 6660 6724 6845 7380 7437 7585 8103 8214 8241 8405 8978 8979 9102 9782 9916 10086 10804 10988 11972 12060 12321 12395 13140 13467 13505 13653 13690 13735 14673 14874 14965 15129 15170 16206 16428 16482 16810 17956 17958 18204 19564 20172 20535 22311 22445 22755 24309 24455 24642 24723 24790 25215 26934 26937 27010 27306 27380 27470 29346 29748 29930 30258 30340 32412 32964 33620 35916 37185 40401 40515 41070 41205 44019 44622 44890 44895 45510 48618 48910 49284 49446 49580 50430 53868 53874 54020 54612 54940 56129 58692 59860 60516 61605 62197 67335 68265 73365 74370 75645 80802 81030 82140 82410 88038 89244 89780 89790 91020 91723 97236 97820 98892 99937 100860 101639 107748 110741 111555 112258 112627 121545 122713 123210 123615 124394 134670 134685 136530 146730 148740 151290 161604 162060 164820 166093 168387 176076 179580 180967 183446 184049 186591 199874 200531 202005 203278 220095 221482 223110 224516 225254 243090 245426 246420 247230 248788 269340 269370 273060 275169 280645 293460 299811 302580 304917 310985 327697 332186 332223 336774 337881 361934 366892 368098 368139 373182 399748 401062 404010 406556 440190 442964 446220 450508 458615 486180 490852 494460 498279 499685 505161 508195 538740 542901 550338 552147 553705 559773 561290 563135 599622 601593 609834 613565 621970 655394 664372 664446 673548 675762 723868 736196 736278 746364 802124 808020 825507 830465 841935 880380 899433 904835 914751 917230 920245 932955 983091 996558 996669 999370 1002655 1010322 1013643 1016390 1085802 1100676 1104294 1104417 1107410 1119546 1122580 1126270 1199244 1203186 1219668 1227130 1243940 1310788 1328892 1351524 1375845 1472556 1494837 1499055 1524585 1628703 1638485 1651014 1656441 1660930 1661115 1683870 1689405 1798866 1804779 1809670 1829502 1834460 1840490 1840695 1865910 1966182 1993116 1993338 1998740 2005310 2020644 2027286 2032780 2171604 2208588 2208834 2214820 2239092 2252540 2301289 2406372 2454260 2491395 2525805 2714505 2751690 2760735 2798865 2949273 2989674 2998110 3007965 3049170 3257406 3276970 3302028 3312882 3321860 3322230 3367740 3378810 3597732 3609558 3619340 3659004 3680980 3681390 3731820 3760643 3932364 3986676 4010620 4054572 4097417 4127535 4167199 4417668 4497165 4540381 4573755 4602578 4915455 4982790 4983345 5051610 5068215 5429010 5503380 5521470 5522085 5597730 5898546 5979348 5996220 6015930 6098340 6145441 6514812 6553940 6625764 6644460 6695779 6757620 6809813 6903867 7219116 7362780 7419647 7474185 7521286 7546009 8143515 8194834 8221771 8255070 8282205 8334398 8994330 9023895 9080762 9147510 9205156 9830910 9965580 9966690 10103220 10136430 10858020 11042940 11044170 11195460 11281929 11506445 11797092 12031860 12124789 12290882 12292251 12501597 13391558 13435577 13619626 13621143 13807734 14746365 14839294 14948370 15042572 15092018 16287030 16389668 16443542 16510140 16564410 16668796 17988660 18047790 18161524 18295020 18436323 18803215 19661820 19933380 20087337 20272860 20429439 20487085 20711601 20835995 22088340 22258941 22563858 22638027 22701905 23012890 24249578 24581764 24584502 24665313 25003194 26783116 26871154 27239252 27242286 27615468 29492730 29678588 29896740 30184036 30727205 32574060 32887084 33128820 33478895 33845787 34049065 34519335 36095580 36374367 36872646 36876753 37098235 37504791 37606430 37730045 40174674 40306731 40858878 40863429 40974170 41108855 41423202 41671990 44517882 45127716 45276054 45403810 46025780 48499156 49169004 49330626 50006388 53742308 54484572 55308969 56409645 58985460 60262011 60623945 61288317 61454410 61461255 62507985 66776823 66957790 67177885 67691574 67914081 68098130 68105715 69038670 72748734 73745292 73753506 73995939 74196470 75009582 75212860 75460090 80349348 80613462 81717756 81726858 81948340 82217710 82846404 83343980 89035764 90552108 90807620 92181615 98661252 100436685 102147195 103558005 109123101 110617938 111294705 112819290 113190135 120524022 120920193 121247890 122576634 122908820 122922510 123326565 125015970 133553646 133915580 134355770 135383148 135828162 136196260 136211430 138077340 145497468 147507012 147991878 148392940 150019164 150920180 154186363 161226924 163453716 164435420 167994097 169228935 181871835 184363230 184383765 187523955 200873370 201533655 204294390 204317145 207116010 218246202 221235876 222589410 225638580 226380270 241048044 241840386 242495780 245153268 245845020 246653130 250031940 251963081 267107292 268711540 271656324 272422860 274526939 276544845 279202333 295983756 301310055 304205527 306441585 308372726 333884115 335988194 338457870 339570405 363743670 368726460 368767530 369979695 375047910 401746740 403067310 408588780 408634290 414232020 436492404 445178820 448617193 452760540 462559089 483680772 493306260 497116349 503926162 503982291 545615505 549053878 550858657 553089690 558404666 602620110 604600965 608411054 612883170 616745452 667768230 671976388 676915740 679140810 727487340 737535060 739959390 750095820 755889243 770931815 806134620 817268580 823580817 837606999 839970485 897234386 912616581 925118178 994232698 1007852324 1007964582 1091231010 1098107756 1101717314 1106179380 1116809332 1205240220 1209201930 1216822108 1225766340 1259815405 1335536460 1345851579 1358281620 1372634695 1387677267 1396011665 1479918780 1491349047 1511778486 1511946873 1521027635 1541863630 1647161634 1652575971 1675213998 1679940970 1794468772 1825233162 1850236356 1988465396 2015929164 2182462020 2203434628 2243085965 2267667729 2312795445 2418403860 2470742451 2485581745 2512820997 2519630810 2519911455 2691703158 2737849743 2745269390 2754293285 2775354534 2792023330 2982698094 3023556972 3023893746 3042055270 3083727260 3294323268 3305151942 3350427996 3359881940 3650466324 3779446215 4037554737 4117904085 4188034995 4474047141 4486171930 4535335458 4563082905 4625590890 4941484902 4957727913 4971163490 5025641994 5039261620 5039822910 5383406316 5475699486 5490538780 5508586570 5550709068 5584046660 5965396188 6047787492 6084110540 6610303884 6729257895 6938386335 7456745235 7558892430 7559734365 8075109474 8235808170 8262879855 8376069990 8948094282 8972343860 9070670916 9126165810 9251181780 9882969804 9915455826 9942326980 10051283988 10079645820 10330486321 10951398972 11017173140 11255604499 11338338645 12353712255 12564104985 13458515790 13689248715 13876772670 14913490470 15117784860 15119468730 16150218948 16471616340 16525759710 16752139980 17896188564 18252331620 18393304913 19830911652 20187773685 20381770309 20660972642 22370235705 22511208998 22676677290 24707424510 24788639565 25128209970 26917031580 27378497430 27753545340 29826980940 30238937460 30991458963 33051519420 33766813497 36786609826 40375547370 40763540618 41321945284 44740471410 45022417996 45353354580 49414849020 49577279130 50256419940 51652431605 54756994860 55179914739 56278022495 61145310927 61982917926 67533626994 73573219652 80751094740 81527081236 89480942820 91966524565 92974376889 99154558260 101300440491 101908851545 103304863210 110359829478 112556044990 122290621854 123965835852 135067253988 154957294815 165539744217 168834067485 183435932781 183933049130 185948753778 202600880982 203817703090 206609726420 220719658956 225112089980 244581243708 275899573695 305726554635 309914589630 331079488434 337668134970 366871865562 367866098260 371897507556 405201761964 407635406180 464871884445 506502202455 551799147390 611453109270 619829179260 662158976868 675336269940 733743731124 754125501433 827698721085 917179663905 929743768890 1013004404910 1103598294780 1222906218540 1508251002866 1655397442170 1834359327810 1859487537780 2026008809820 2262376504299 3016502005732 3310794884340 3668718655620 3770627507165 4524753008598 6787129512897 7541255014330 9049506017196 11311882521495 13574259025794 15082510028660 22623765042990 27148518051588 33935647564485 45247530085980 67871295128970 135742590257940
- Sum of all divisors σ(n): 446357427460308
- Sum of proper divisors (its aliquot sum) s(n): 310614837202368
- 135742590257940 is an abundant number, because the sum of its proper divisors (310614837202368) is greater than itself. Its abundance is 174872246944428
Bases of 135742590257940
- Binary: 111101101110101000010001101111110001011000101002
- Hexadecimal: 0x7B7508DF8B14
- Base-36: 1C47A9GWT0
Squares and roots of 135742590257940
- 135742590257940 squared (1357425902579402) is 18426050809934987395733043600
- 135742590257940 cubed (1357425902579403) is 2501199865164988466628788935702305266184000
-
The
square root of 135742590257940 is 11650862.2109241341 -
The
cube root of 135742590257940 is 51393.1665704973
Scales and comparisons
How big is 135742590257940?- 135,742,590,257,940 seconds is equal to 4,316,194 years, 25 weeks, 3 days, 15 hours, 39 minutes.
-
To count from 1 to 135,742,590,257,940 would take you about ten million, seven hundred ninety thousand, four hundred eighty-six 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 135742590257940 cubic inches would be around 4282.8 feet tall.
Recreational maths with 135742590257940
- 135742590257940 backwards is 049752095247531
- The number of decimal digits it has is: 15
- The sum of 135742590257940's digits is 63
- More coming soon!
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The information we have on file for 135742590257940 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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