135727731390048
135,727,731,390,048 is an even composite number composed of eight prime numbers multiplied together.
What does the number 135727731390048 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1152 divisors.
135727731390048 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 135727731390048:
25 × 3 × 7 × 312 × 41 × 43 × 97 × 1229
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 31 × 31 × 41 × 43 × 97 × 1229)See below for interesting mathematical facts about the number 135727731390048 from the Numbermatics database.
Names of 135727731390048
- Cardinal: 135727731390048 can be written as One hundred thirty-five trillion, seven hundred twenty-seven billion, seven hundred thirty-one million, three hundred ninety thousand and forty-eight.
Scientific notation
- Scientific notation: 1.35727731390048 × 1014
Factors of 135727731390048
Divisors of 135727731390048
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 41 42 43 48 56 62 82 84 86 93 96 97 112 123 124 129 164 168 172 186 194 217 224 246 248 258 287 291 301 328 336 344 372 388 434 492 496 516 574 582 602 651 656 672 679 688 744 776 861 868 903 961 984 992 1032 1148 1164 1204 1229 1271 1302 1312 1333 1358 1376 1488 1552 1722 1736 1763 1806 1922 1968 2037 2064 2296 2328 2408 2458 2542 2604 2666 2716 2883 2976 3007 3104 3444 3472 3526 3612 3687 3813 3844 3936 3977 3999 4074 4128 4171 4592 4656 4816 4916 5084 5208 5289 5332 5432 5766 6014 6727 6888 6944 7052 7224 7374 7626 7688 7954 7998 8148 8342 8603 8897 9021 9184 9312 9331 9632 9832 10168 10416 10578 10664 10864 11532 11931 12028 12341 12513 13454 13776 14104 14448 14748 15252 15376 15908 15996 16296 16684 17206 17794 18042 18662 19664 20181 20336 20832 21049 21156 21328 21728 23064 23862 24056 24682 25026 25809 26691 26908 27552 27839 27993 28208 28896 29197 29496 30504 30752 31816 31992 32592 33368 34412 35588 36084 37023 37324 38099 39328 39401 40362 40672 41323 42098 42312 42656 46128 47724 48112 49364 50052 50389 51618 52847 53382 53816 54653 55678 55986 56416 58394 58992 61008 63147 63632 63984 65184 66736 68824 71176 72168 74046 74648 76198 78802 80724 82646 83517 84196 84624 87591 92256 93217 95448 96224 98728 100104 100778 103236 105694 106764 107632 109306 111356 111972 114297 116788 117984 118203 119213 122016 123287 123969 126294 127264 127968 129301 133472 137648 142352 144336 148092 149296 151167 152396 157604 158541 161448 163959 165292 167034 168392 169248 171011 175182 186434 190896 197456 200208 201556 206472 211388 213528 215264 218612 222712 223944 228594 233576 236406 238426 246574 247938 252588 258602 266693 275296 275807 279651 284704 288672 289261 296184 298592 302334 304792 315208 317082 322896 327918 330584 334068 336784 342022 350364 352723 357639 369861 369929 372868 381792 382571 387903 394912 400416 403112 412944 422776 427056 437224 445424 447888 457188 467152 472812 476852 493148 495876 505176 513033 517204 533386 551614 559302 578522 592368 604668 609584 630416 634164 645792 652519 655836 661168 668136 673568 684044 700728 705446 715278 739722 739858 745736 765142 775806 800079 806224 825888 827421 834491 845552 854112 863009 867783 874448 890848 895776 905107 914376 934304 945624 953704 986296 991752 1010352 1026066 1034408 1058169 1066772 1103228 1109787 1118604 1147713 1157044 1181069 1184736 1197077 1209336 1219168 1260832 1268328 1305038 1311672 1322336 1336272 1368088 1401456 1410892 1430556 1479444 1479716 1491472 1530284 1551612 1562059 1600158 1612448 1638257 1654842 1668982 1691104 1694243 1726018 1735566 1748896 1810214 1828752 1891248 1907408 1957557 1972592 1983504 2020704 2052132 2068816 2116338 2133544 2166727 2206456 2219574 2237208 2295426 2314088 2362138 2394154 2418672 2503473 2536656 2589027 2610076 2623344 2672544 2715321 2736176 2802912 2821784 2861112 2958888 2959432 2982944 3060568 3103224 3124118 3200316 3276514 3309684 3337964 3388486 3452036 3471132 3543207 3591231 3620428 3657504 3695603 3782496 3814816 3821897 3915114 3945184 3967008 4008331 4104264 4137632 4232676 4267088 4333454 4412912 4439148 4474416 4590852 4628176 4686177 4724276 4788308 4837344 4887733 4914771 5006946 5073312 5082729 5126159 5178054 5220152 5246688 5301341 5430642 5472352 5643568 5722224 5917776 5918864 6121136 6206448 6248236 6400632 6500181 6553028 6619368 6675928 6776972 6904072 6942264 7086414 7182462 7240856 7391206 7643794 7830228 8016662 8208528 8267483 8465352 8534176 8666908 8825824 8878296 8948832 9181704 9256352 9372354 9448552 9576616 9775466 9829542 10013892 10165458 10252318 10356108 10440304 10602682 10861284 10934413 11086809 11287136 11444448 11465691 11467799 11835552 11837728 11859701 12024993 12242272 12412896 12496472 12801264 13000362 13106056 13238736 13351856 13553944 13808144 13884528 14172828 14364924 14481712 14663199 14782412 15167089 15287588 15378477 15660456 15904023 16033324 16417056 16534966 16930704 17333816 17756592 18363408 18744708 18897104 19153232 19550932 19659084 20027784 20330916 20504636 20712216 20880608 21205364 21722568 21868826 22173618 22931382 22935598 23719402 24049986 24802449 24992944 25602528 25869221 26000724 26212112 26477472 26703712 26753279 27107888 27616288 27769056 28058317 28345656 28729848 28963424 29326398 29564824 30334178 30575176 30756954 31320912 31808046 32066648 32803239 33069932 33861408 34214131 34403397 34667632 35513184 35579103 35883113 36726816 37109387 37489416 37794208 38306464 39101864 39318168 40055568 40661832 41009272 41424432 42410728 43445136 43737652 44347236 45501267 45862764 45871196 47438804 48099972 48423829 49604898 49985888 50785967 51738442 52001448 52424224 53506558 54215776 56116634 56691312 57459696 58652796 59129648 60668356 61150352 61513908 62641824 63616092 64133296 65606478 66139864 67168537 68428262 68806794 69335264 71158206 71766226 74218774 74978832 77607663 78203728 78636336 80111136 80259837 81323664 82018544 82848864 84174951 84821456 86890272 87475304 88694472 91002534 91725528 91742392 94877608 96199944 96847658 99209796 101571934 102642393 103476884 104002896 107013116 107649339 111328161 112233268 113382624 114563693 114919392 117305592 118259296 121336712 122300704 123027816 127232184 128266592 131212956 132279728 134337074 136856524 137613588 142316412 143532452 145271487 148437548 149957664 151519723 152357901 155215326 156407456 157272672 158910929 160519674 162647328 164037088 164341571 168349902 169642912 174950608 177388944 182005068 183451056 183484784 189755216 192399888 193695316 198419592 201505611 203143868 205284786 206953768 208005792 210172519 214026232 215298678 222656322 224466536 229127386 234611184 242673424 246055632 254464368 262425912 264559456 268674148 273713048 275227176 284632824 287064904 290542974 296875096 303039446 304715802 310430652 317821858 321039348 328683142 336699804 338966803 343691079 349901216 354777888 355501769 364010136 366902112 366969568 379510432 384799776 387390632 396839184 403011222 406287736 410569572 413907536 420345038 428052464 430597356 445312644 448933072 454559169 458254772 469222368 470179759 476732787 485346848 492111264 493024713 508928736 524851824 537348296 547426096 550454352 569265648 574129808 581085948 593750192 606078892 609431604 620861304 630517557 635643716 642078696 657366284 673399608 677933606 687382158 711003538 728020272 774781264 793678368 801945851 806022444 812575472 821139144 827815072 840690076 856104928 861194712 890625288 897866144 909118338 916509544 940359518 953465574 986049426 1016900409 1049703648 1060638061 1066505307 1074696592 1094852192 1100908704 1112376503 1138531296 1148259616 1150390997 1162171896 1187500384 1212157784 1218863208 1241722608 1261035114 1271287432 1284157392 1314732568 1346799216 1355867212 1374764316 1410539277 1422007076 1456040544 1471207633 1549562528 1603891702 1612044888 1625150944 1642278288 1681380152 1722389424 1781250576 1818236676 1833019088 1880719036 1906931148 1972098852 2033800818 2082224647 2121276122 2133010614 2149393184 2224753006 2300781994 2324343792 2405837553 2424315568 2437726416 2483445216 2522070228 2542574864 2568314784 2629465136 2693598432 2711734424 2749528632 2821078554 2844014152 2942415266 3181914183 3207783404 3224089776 3284556576 3337129509 3362760304 3444778848 3451172991 3562501152 3636473352 3666038176 3761438072 3813862296 3944197704 4067601636 4164449294 4242552244 4266021228 4413622899 4449506012 4601563988 4648687584 4697111413 4811675106 4848631136 4875452832 4926238799 5044140456 5085149728 5258930272 5423468848 5499057264 5642157108 5688028304 5884830532 6246673941 6363828366 6415566808 6448179552 6515348089 6674259018 6725520608 6902345982 7272946704 7522876144 7627724592 7888395408 8135203272 8328898588 8485104488 8532042456 8827245798 8899012024 9203127976 9394222826 9623350212 9852477598 10088280912 10846937696 10998114528 11284314216 11376056608 11769661064 12493347882 12727656732 12831133616 13030696178 13348518036 13804691964 14091334239 14545893408 14575572529 14778716397 15045752288 15255449184 15776790816 16270406544 16657797176 16970208976 17064084912 17654491596 17798024048 18406255952 18788445652 19246700424 19546044267 19704955196 20176561824 22568628432 23539322128 24986695764 25455313464 25662267232 26061392356 26697036072 27609383928 28182668478 29151145058 29557432794 32540813088 32879779891 33315594352 33940417952 34128169824 34483671593 35308983192 35596048096 36812511904 37576891304 38493400848 39092088534 39409910392 43726717587 45137256864 45607436623 47078644256 49973391528 50910626928 52122784712 53394072144 55218767856 56365336956 58302290116 59114865588 65759559782 66631188704 68967343186 70617966384 75153782608 76986801696 78184177068 78819820784 87453435174 91214873246 98639339673 99946783056 101821253856 103451014779 104245569424 106788144288 110437535712 112730673912 116604580232 118229731176 131519119564 136822309869 137934686372 141235932768 150307565216 156368354136 157639641568 174906870348 182429746492 197278679346 199893566112 201975790759 206902029558 208491138848 225461347824 233209160464 236459462352 263038239128 273644619738 275869372744 312736708272 349813740696 364859492984 394557358692 403951581518 413804059116 450922695648 466418320928 472918924704 526076478256 547289239476 551738745488 605927372277 625473416544 699627481392 729718985968 789114717384 807903163036 827608118232 1052152956512 1094578478952 1103477490976 1211854744554 1399254962784 1413830535313 1459437971936 1578229434768 1615806326072 1655216236464 2189156957904 2423709489108 2827661070626 3156458869536 3231612652144 3310432472928 4241491605939 4378313915808 4847418978216 5655322141252 6463225304288 8482983211878 9694837956432 11310644282504 16965966423756 19389675912864 22621288565008 33931932847512 45242577130016 67863865695024 135727731390048
- Sum of all divisors σ(n): 445936406952960
- Sum of proper divisors (its aliquot sum) s(n): 310208675562912
- 135727731390048 is an abundant number, because the sum of its proper divisors (310208675562912) is greater than itself. Its abundance is 174480944172864
Bases of 135727731390048
- Binary: 111101101110001100100110011011100110110011000002
- Hexadecimal: 0x7B7193373660
- Base-36: 1C40GIVSYO
Squares and roots of 135727731390048
- 135727731390048 squared (1357277313900482) is 18422017068289021194313442304
- 135727731390048 cubed (1357277313900483) is 2500378584307611812367069765520901767790592
-
The
square root of 135727731390048 is 11650224.5210145199 -
The
cube root of 135727731390048 is 51391.2912756553
Scales and comparisons
How big is 135727731390048?- 135,727,731,390,048 seconds is equal to 4,315,722 years, 1 week, 2 days, 20 minutes, 48 seconds.
-
To count from 1 to 135,727,731,390,048 would take you about ten million, seven hundred eighty-nine thousand, three hundred 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 135727731390048 cubic inches would be around 4282.6 feet tall.
Recreational maths with 135727731390048
- 135727731390048 backwards is 840093137727531
- The number of decimal digits it has is: 15
- The sum of 135727731390048's digits is 60
- More coming soon!
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The information we have on file for 135727731390048 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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