137412408042

Names of 137412408042

• Cardinal: 137412408042 can be written as One hundred thirty-seven billion, four hundred twelve million, four hundred eight thousand and forty-two.

Scientific notation

• Scientific notation: 1.37412408042 × 10¹¹

Factors of 137412408042

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 181

Divisors of 137412408042

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 3 6 7 9 13 14 17 18 21 26 27 29 34 37 39 42 49 51 54 58 63 73 74 78 81 87 91 98 102 111 117 119 126 146 147 153 162 174 182 189 203 219 221 222 234 238 259 261 273 294 306 333 351 357 377 378 406 438 441 442 459 481 493 511 518 522 546 567 609 629 637 657 663 666 702 714 754 777 783 819 833 882 918 949 962 986 999 1022 1053 1071 1073 1131 1134 1218 1241 1258 1274 1314 1323 1326 1377 1421 1443 1479 1533 1547 1554 1566 1638 1666 1813 1827 1887 1898 1911 1971 1989 1998 2106 2117 2142 2146 2262 2331 2349 2457 2482 2499 2639 2646 2701 2754 2842 2847 2886 2958 2997 3066 3094 3213 3219 3367 3393 3451 3577 3626 3654 3723 3774 3822 3942 3969 3978 4234 4263 4329 4403 4437 4599 4641 4662 4698 4914 4998 5278 5402 5439 5481 5661 5694 5733 5913 5967 5994 6351 6409 6426 6438 6643 6734 6786 6902 6993 7154 7371 7446 7497 7511 7917 7938 8103 8177 8526 8541 8658 8687 8806 8874 9198 9282 9639 9657 10101 10179 10353 10731 10829 10878 10962 11169 11322 11466 11826 11934 12702 12789 12818 12987 13209 13286 13311 13797 13923 13949 13986 14742 14819 14994 15022 15834 16133 16206 16317 16354 16443 16983 17082 17199 17374 17901 18241 18473 18907 19053 19227 19278 19314 19929 20202 20358 20706 20979 21462 21658 22338 22491 22533 23569 23751 24157 24309 24531 25578 25623 25974 26061 26418 26622 27521 27594 27846 27898 28971 29638 30303 30537 30821 31059 32193 32266 32487 32634 32886 33507 33966 34398 35113 35802 35989 36482 36946 37814 38106 38367 38454 38961 39627 39858 39933 41391 41769 41847 41958 44457 44863 44982 45066 45917 46501 47138 47502 48314 48399 48618 48951 49062 50949 51246 51597 52122 52577 54723 55042 55419 56721 57159 57239 57681 57942 59787 60606 60809 61074 61642 62118 64386 64974 67014 67473 67599 70226 70707 71253 71978 72471 72927 73593 76734 76869 77922 78183 78329 79254 79866 82563 82782 83538 83694 86913 88914 89726 90909 91834 92463 93002 93177 96579 96798 97461 97643 97902 100521 101898 103194 103733 105154 105339 107967 109446 110838 112931 113442 114318 114478 115101 115362 118881 119574 121618 125307 125541 127687 132349 133371 134589 134946 135198 137751 139503 141414 142506 144942 145197 145854 146853 147186 153738 156366 156658 157731 164169 165126 166257 170163 171477 171717 173043 173826 179361 181818 182427 184926 186354 192647 193158 194922 195286 201042 202797 207466 210678 212121 213759 215934 217413 218781 220779 225862 230202 234549 234987 237133 237762 245791 247689 250614 251082 251923 255374 264698 266742 269178 272727 275502 277389 279006 279531 289737 290394 292383 292929 293706 311199 314041 315462 316017 321419 323901 328338 332514 338793 340326 342954 343434 346086 356643 358722 364854 376623 383061 385294 397047 400113 400673 403767 405594 413253 418509 424242 427518 434826 435591 437562 441558 467857 469098 469974 473193 474266 491582 492507 495378 498771 503846 510489 515151 519129 538083 545454 547281 548303 554778 559062 577941 579474 584766 585858 596921 608391 622398 628082 632034 636363 642838 647802 652239 662337 677586 683501 703647 704961 711399 713286 737373 743067 753246 755769 766122 790517 794094 800226 801346 807534 826506 832167 837018 871182 877149 878787 893809 933597 935714 942123 946386 948051 964257 971703 985014 997542 1016379 1018277 1020978 1030302 1038258 1076166 1094562 1096606 1129869 1149183 1155882 1191141 1193842 1200339 1202019 1211301 1216782 1239759 1255527 1272726 1304478 1306773 1324674 1331593 1348529 1367002 1403571 1407294 1409922 1419579 1422798 1474746 1477521 1486134 1496313 1511538 1531467 1545453 1581034 1641843 1644909 1659931 1664334 1720537 1733823 1754298 1757574 1763461 1787618 1790763 1867194 1884246 1896102 1909089 1928514 1943406 1956717 2032758 2036554 2050503 2114883 2134197 2212119 2229201 2249933 2259738 2267307 2298366 2371551 2382282 2400678 2404038 2422602 2479518 2496501 2511054 2613546 2636361 2663186 2681427 2697058 2800791 2807142 2826369 2839158 2844153 2892771 2915109 2955042 2992626 3049137 3054831 3062934 3090906 3274999 3283686 3289818 3319862 3441074 3447549 3467646 3526922 3573423 3581526 3606057 3633903 3719277 3766581 3818178 3838121 3913434 3994779 4045587 4101006 4178447 4210713 4229766 4258737 4268394 4424238 4458402 4499866 4534614 4636359 4743102 4925529 4934727 4979793 4993002 5161611 5201469 5272722 5290383 5362854 5372289 5601582 5652738 5688306 5785542 5830218 6098274 6109662 6151509 6344649 6402591 6549998 6636357 6749799 6801921 6895098 7114653 7127939 7146846 7212114 7267806 7438554 7533162 7676242 7909083 7989558 8044281 8091174 8356894 8402373 8421426 8479107 8517474 8678313 9147411 9164493 9272718 9321151 9824997 9851058 9869454 9959586 10323222 10342647 10402938 10580766 10720269 10744578 10818171 11514363 11619517 11984337 12136761 12303018 12535341 12632139 12689298 12805182 13272714 13499598 13603842 14229306 14255878 14804181 14939379 15484833 15604407 15818166 15871149 16088562 16116867 16804746 16958214 17310709 17356626 18294822 18328986 18454527 18642302 19207773 19649994 19909071 20249397 20405763 20685294 21343959 21383817 21440538 21636342 22924993 23028726 23239034 23968674 24132843 24273522 25070682 25264278 25437321 26034939 27493479 27963453 29249129 29474991 29608362 29878758 30969666 31208814 31742298 32233734 32454513 34543089 34621418 34858551 35953011 36410283 36909054 37606023 37896417 38415546 39818142 40498794 40811526 42687918 42767634 44412543 44818137 45849986 46454499 47613447 48265686 48350601 49895573 50874642 51932127 52069878 54986958 55363581 55926906 58498258 58949982 60748191 64031877 64151451 64909026 65248057 68774979 69086178 69717102 71906022 72398529 72820566 75212046 75792834 82480437 83890359 87747387 88424973 88825086 89636274 92908998 95226894 96701202 99791146 103629267 103864254 104575653 107859033 109230849 110727162 112818069 121174963 121496382 128063754 128302902 130496114 134454411 137549958 139363497 142840341 144797058 149686719 155796381 164960874 167780718 175494774 176849946 182244573 192454353 195744171 206324937 207258534 209151306 215718066 218461698 225636138 242349926 251671077 263242161 265274919 268908822 278726994 285680682 299373438 310887801 311592762 313726959 338454207 363524889 364489146 384908706 391488342 412649874 449060157 467389143 503342154 526484322 530549838 577363059 587232513 618974811 621775602 627453918 676908414 727049778 755013231 789726483 848224741 898120314 934778286 941180877 1090574667 1154726118 1174465026 1237949622 1347180471 1402167429 1510026462 1579452966 1696449482 1761697539 1856924433 1882361754 2181149334 2369179449 2544674223 2694360942 2804334858 3271724001 3523395078 3713848866 4041541413 4738358898 5089348446 5285092617 6543448002 7634022669 8083082826 9815172003 10570185234 15268045338 19630344006 22902068007 45804136014 68706204021 137412408042
• Sum of all divisors σ(n): 439864175520
• Sum of proper divisors (its aliquot sum) s(n): 302451767478
• 137412408042 is an abundant number, because the sum of its proper divisors (302451767478) is greater than itself. Its abundance is 165039359436

Bases of 137412408042

• Binary: 1111111111110011010101111001011101010₂
• Hexadecimal: 0x1FFE6AF2EA
• Base-36: 1R4JSSMI

Squares and roots of 137412408042

• 137412408042 squared (137412408042²) is 18882169883901106273764
• 137412408042 cubed (137412408042³) is 2594644432804982582065664927210088
• The square root of 137412408042 is 370691.7965669055
• The cube root of 137412408042 is 5160.3043513019

Scales and comparisons

• 137,412,408,042 seconds is equal to 4,369 years, 15 weeks, 9 hours, 20 minutes, 42 seconds.
• To count from 1 to 137,412,408,042 would take you about eight thousand, seven hundred thirty-eight 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 137412408042 cubic inches would be around 430 feet tall.

Recreational maths with 137412408042

• 137412408042 backwards is 240804214731
• The number of decimal digits it has is: 12
• The sum of 137412408042's digits is 36
• More coming soon!