135937831680

Names of 135937831680

• Cardinal: 135937831680 can be written as One hundred thirty-five billion, nine hundred thirty-seven million, eight hundred thirty-one thousand, six hundred eighty.

Scientific notation

• Scientific notation: 1.3593783168 × 10¹¹

Factors of 135937831680

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 360

Divisors of 135937831680

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 19 20 21 24 28 30 32 34 35 36 38 40 42 45 48 51 56 57 60 63 64 68 70 72 76 80 84 85 90 95 96 102 105 112 114 119 120 126 128 133 136 140 144 152 153 160 168 170 171 180 190 192 204 210 224 228 238 240 252 255 256 266 272 280 285 288 289 304 306 307 315 320 323 336 340 342 357 360 380 384 399 408 420 448 456 476 480 504 510 532 544 560 570 576 578 595 608 612 614 630 640 646 665 672 680 684 714 720 760 765 768 798 816 840 855 867 896 912 921 952 960 969 1008 1020 1064 1071 1088 1120 1140 1152 1156 1190 1197 1216 1224 1228 1260 1280 1292 1330 1344 1360 1368 1428 1440 1445 1520 1530 1535 1596 1615 1632 1680 1710 1734 1785 1792 1824 1842 1904 1920 1938 1995 2016 2023 2040 2128 2142 2149 2176 2240 2261 2280 2304 2312 2380 2394 2432 2448 2456 2520 2584 2601 2660 2688 2720 2736 2763 2856 2880 2890 2907 3040 3060 3070 3192 3230 3264 3360 3420 3468 3570 3648 3684 3808 3840 3876 3990 4032 4046 4080 4256 4284 4298 4335 4352 4480 4522 4560 4605 4624 4760 4788 4845 4864 4896 4912 5040 5168 5202 5219 5320 5355 5376 5440 5472 5491 5526 5712 5760 5780 5814 5833 5985 6069 6080 6120 6140 6384 6447 6460 6528 6720 6783 6840 6936 7140 7296 7368 7616 7752 7980 8064 8092 8160 8512 8568 8596 8670 8960 9044 9120 9210 9248 9520 9576 9690 9792 9824 10080 10115 10336 10404 10438 10640 10710 10745 10880 10944 10982 11052 11305 11424 11520 11560 11628 11666 11970 12138 12160 12240 12280 12768 12894 12920 13005 13056 13440 13566 13680 13815 13872 14280 14535 14592 14736 15232 15504 15657 15960 16128 16184 16320 16473 17024 17136 17192 17340 17499 18088 18207 18240 18420 18496 19040 19152 19341 19380 19584 19648 20160 20230 20349 20672 20808 20876 21280 21420 21490 21760 21888 21964 22104 22610 22848 23120 23256 23332 23940 24276 24320 24480 24560 25536 25788 25840 26010 26095 26880 27132 27360 27455 27630 27744 28560 29070 29165 29472 30345 30464 31008 31314 31920 32235 32368 32640 32946 33915 34048 34272 34384 34680 34998 36176 36414 36480 36533 36840 36992 38080 38304 38437 38682 38760 39168 39296 40320 40460 40698 40831 41344 41616 41752 42560 42840 42980 43776 43928 44208 45220 45696 46240 46512 46664 46971 47880 48552 48960 49120 49419 51072 51576 51680 52020 52190 52497 54264 54720 54910 55260 55488 57120 58140 58330 58944 60690 62016 62628 63840 64470 64736 65280 65892 67830 68544 68768 69360 69996 72352 72828 72960 73066 73680 73984 76160 76608 76874 77364 77520 78285 78592 80640 80920 81396 81662 82365 82688 83232 83504 85120 85680 85960 87495 87856 88416 88723 90440 91035 91392 92480 93024 93328 93942 95760 96705 97104 97920 98240 98838 99161 101745 102144 103152 103360 104040 104380 104994 108528 109440 109599 109820 110520 110976 114240 115311 116280 116660 117888 121380 122493 124032 125256 127680 128940 129472 131784 135660 137088 137536 138720 139992 144704 145656 146132 147360 152320 153216 153748 154728 155040 156570 161840 162792 163324 164730 166464 167008 170240 171360 171920 174990 175712 176832 177446 180880 182070 182665 184960 186048 186656 187884 191520 192185 193410 194208 195840 196480 197676 198322 203490 204155 206304 206720 208080 208760 209988 217056 218880 219198 219640 221040 221952 228480 230622 232560 233320 234855 235776 242760 244986 247095 248064 250512 255360 257880 258944 262485 263568 266169 271320 274176 275072 277440 279984 289408 291312 292264 294720 297483 306432 307496 309456 310080 313140 323680 325584 326648 328797 329460 332928 334016 342720 343840 345933 349980 351424 353664 354892 361760 364140 365330 367479 369920 372096 373312 375768 383040 384370 386820 388416 392960 395352 396644 406980 408310 412608 413440 416160 417520 419976 434112 438396 439280 442080 443615 456960 461244 465120 466640 469710 485520 489972 494190 495805 501024 510720 515760 517888 524970 527136 532338 542640 547995 550144 554880 559968 576555 578816 582624 584528 589440 594966 612465 614992 618912 620160 621061 626280 647360 651168 653296 657594 658920 665856 668032 685440 687680 691866 694127 699960 702848 707328 709784 723520 728280 730660 734958 744192 746624 751536 766080 768740 773640 776832 790704 793288 798507 813960 816620 825216 832320 835040 839952 868224 876792 878560 884160 887230 892449 922488 930240 933280 939420 971040 979944 988380 991610 1002048 1031520 1049940 1054272 1064676 1085280 1095990 1109760 1119936 1153110 1165248 1169056 1178880 1189932 1224930 1229984 1237824 1240320 1242122 1252560 1294720 1302336 1306592 1315188 1317840 1330845 1336064 1370880 1375360 1383732 1388254 1399920 1405696 1419568 1447040 1456560 1461320 1469916 1487415 1493248 1503072 1532160 1537480 1547280 1553664 1581408 1586576 1597014 1627920 1633240 1643985 1650432 1664640 1670080 1679904 1685737 1729665 1736448 1753584 1757120 1768320 1774460 1784898 1837395 1844976 1860480 1863183 1866560 1878840 1942080 1959888 1976760 1983220 2004096 2063040 2082381 2099880 2108544 2129352 2170560 2191980 2239872 2306220 2330496 2338112 2379864 2449860 2459968 2475648 2484244 2505120 2589440 2604672 2613184 2630376 2635680 2661690 2750720 2767464 2776508 2799840 2839136 2894080 2913120 2922640 2939832 2974830 3006144 3074960 3094560 3105305 3162816 3173152 3194028 3255840 3266480 3287970 3329280 3340160 3359808 3371474 3459330 3470635 3507168 3514240 3536640 3548920 3569796 3674790 3689952 3720960 3726366 3733120 3757680 3884160 3919776 3953520 3966440 3992535 4008192 4126080 4164762 4199760 4217088 4258704 4341120 4383960 4462245 4479744 4612440 4660992 4676224 4759728 4899720 4919936 4951296 4968488 5010240 5057211 5209344 5226368 5260752 5271360 5323380 5534928 5553016 5589549 5599680 5678272 5826240 5845280 5879664 5949660 6012288 6149920 6189120 6210610 6247143 6325632 6346304 6388056 6511680 6532960 6575940 6680320 6719616 6742948 6918660 6941270 7014336 7028480 7097840 7139592 7349580 7379904 7452732 7466240 7515360 7768320 7839552 7907040 7932880 7985070 8252160 8329524 8399520 8428685 8517408 8682240 8767920 8924490 9224880 9315915 9352448 9519456 9799440 9839872 9936976 10020480 10114422 10411905 10452736 10521504 10542720 10646760 11069856 11106032 11179098 11199360 11356544 11652480 11690560 11759328 11800159 11899320 12024576 12299840 12378240 12421220 12494286 12651264 12692608 12776112 13023360 13065920 13151880 13439232 13485896 13837320 13882540 14028672 14195680 14279184 14699160 14759808 14905464 15030720 15171633 15679104 15814080 15865760 15970140 16659048 16799040 16857370 17034816 17535840 17848980 18449760 18631830 19038912 19598880 19873952 20040960 20228844 20823810 21043008 21085440 21293520 22139712 22212064 22358196 22398720 22713088 23304960 23381120 23518656 23600318 23798640 24599680 24756480 24842440 24988572 25286055 25385216 25552224 26046720 26131840 26303760 26971792 27674640 27765080 27947745 28057344 28391360 28558368 29398320 29519616 29810928 30061440 30343266 31235715 31358208 31628160 31731520 31940280 33318096 33598080 33714740 34069632 35071680 35400477 35697960 36899520 37263660 38077824 39197760 39747904 40457688 41647620 42086016 42587040 44279424 44424128 44716392 46762240 47037312 47200636 47597280 49199360 49684880 49977144 50572110 51104448 52263680 52607520 53943584 55349280 55530160 55895490 56782720 57116736 58796640 59000795 59621856 60122880 60686532 62471430 63256320 63463040 63880560 66636192 67196160 67429480 68139264 70143360 70800954 71395920 73799040 74527320 75858165 76155648 78395520 79495808 80915376 83295240 84172032 85174080 88558848 88848256 89432784 94074624 94401272 95194560 99369760 99954288 101144220 102208896 105215040 106201431 107887168 110698560 111060320 111790980 113565440 114233472 117593280 118001590 119243712 121373064 124942860 126926080 127761120 133272384 134858960 140286720 141601908 142791840 147598080 149054640 151716330 156791040 158991616 161830752 166590480 170348160 177002385 177696512 178865568 188802544 190389120 198739520 199908576 202288440 204417792 210430080 212402862 215774336 221397120 222120640 223581960 228466944 235186560 236003180 238487424 242746128 249885720 255522240 266544768 269717920 283203816 285583680 298109280 303432660 323661504 333180960 340696320 354004770 357731136 377605088 380778240 397479040 399817152 404576880 420860160 424805724 431548672 442794240 444241280 447163920 470373120 472006360 476974848 485492256 499771440 511044480 531007155 533089536 539435840 566407632 571167360 596218560 606865320 647323008 666361920 708009540 715462272 755210176 794958080 799634304 809153760 849611448 888482560 894327840 944012720 970984512 999542880 1022088960 1062014310 1078871680 1132815264 1142334720 1192437120 1213730640 1294646016 1332723840 1416019080 1430924544 1510420352 1599268608 1618307520 1699222896 1788655680 1888025440 1941969024 1999085760 2124028620 2157743360 2265630528 2384874240 2427461280 2665447680 2832038160 3020840704 3236615040 3398445792 3577311360 3776050880 3883938048 3998171520 4248057240 4531261056 4854922560 5664076320 6473230080 6796891584 7154622720 7552101760 7996343040 8496114480 9062522112 9709845120 11328152640 13593783168 15104203520 16992228960 19419690240 22656305280 27187566336 33984457920 45312610560 67968915840 135937831680
• Sum of all divisors σ(n): 603010087680
• Sum of proper divisors (its aliquot sum) s(n): 467072256000
• 135937831680 is an abundant number, because the sum of its proper divisors (467072256000) is greater than itself. Its abundance is 331134424320

Bases of 135937831680

• Binary: 1111110100110100001101011001100000000₂
• Hexadecimal: 0x1FA686B300
• Base-36: 1QG5VI80

Squares and roots of 135937831680

• 135937831680 squared (135937831680²) is 18479094081860011622400
• 135937831680 cubed (135937831680³) is 2512007980898770401248654917632000
• The square root of 135937831680 is 368697.4798937471
• The cube root of 135937831680 is 5141.7794723941

Scales and comparisons

• 135,937,831,680 seconds is equal to 4,322 years, 20 weeks, 6 days, 12 hours, 48 minutes.
• To count from 1 to 135,937,831,680 would take you about eight thousand, six hundred forty-four 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 135937831680 cubic inches would be around 428.5 feet tall.

Recreational maths with 135937831680

• 135937831680 backwards is 086138739531
• The number of decimal digits it has is: 12
• The sum of 135937831680's digits is 54
• More coming soon!