137358896236992

Names of 137358896236992

• Cardinal: 137358896236992 can be written as One hundred thirty-seven trillion, three hundred fifty-eight billion, eight hundred ninety-six million, two hundred thirty-six thousand, nine hundred ninety-two.

Scientific notation

• Scientific notation: 1.37358896236992 × 10¹⁴

Factors of 137358896236992

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 524

Divisors of 137358896236992

• Number of divisors d(n): 630
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 81 86 96 103 108 129 144 162 172 192 206 216 258 288 309 324 344 373 387 412 432 516 576 618 648 688 746 774 824 864 927 1032 1119 1161 1236 1296 1376 1492 1548 1648 1728 1849 1854 2064 2238 2322 2472 2592 2752 2781 2984 3096 3296 3357 3483 3698 3708 4128 4429 4476 4644 4944 5184 5547 5562 5968 6192 6592 6714 6966 7396 7416 8256 8343 8858 8952 9288 9888 10071 11094 11124 11936 12384 13287 13428 13932 14792 14832 16039 16641 16686 17716 17904 18576 19776 20142 22188 22248 23872 24768 26574 26856 27864 29584 29664 30213 32078 33282 33372 35432 35808 37152 38419 39861 40284 44376 44496 48117 49923 53148 53712 55728 59168 59328 60426 64156 66564 66744 70864 71616 74304 76838 79722 80568 88752 88992 96234 99846 106296 107424 111456 115257 118336 119583 120852 128312 133128 133488 139129 141728 144351 149769 153676 159444 161136 177504 177984 190447 192468 199692 212592 214848 222912 230514 239166 241704 256624 266256 266976 278258 283456 288702 299538 307352 318888 322272 345771 355008 358749 380894 384936 399384 417387 425184 433053 461028 478332 483408 513248 532512 533952 556516 571341 577404 599076 614704 637776 644544 689677 691542 717498 761788 769872 798768 834774 850368 866106 922056 956664 966816 1026496 1037313 1065024 1113032 1142682 1154808 1198152 1229408 1252161 1275552 1299159 1379354 1383084 1434996 1523576 1539744 1597536 1652017 1669548 1714023 1732212 1844112 1913328 1933632 2069031 2074626 2226064 2285364 2309616 2396304 2458816 2504322 2551104 2598318 2758708 2766168 2869992 3047152 3079488 3111939 3195072 3304034 3339096 3428046 3464424 3688224 3756483 3826656 4138062 4149252 4452128 4570728 4619232 4792608 4956051 5008644 5142069 5196636 5517416 5532336 5739984 5982547 6094304 6207093 6223878 6608068 6678192 6856092 6928848 7376448 7512966 7653312 8276124 8298504 8904256 9141456 9238464 9585216 9912102 10017288 10284138 10393272 11034832 11064672 11269449 11479968 11965094 12188608 12414186 12447756 13216136 13356384 13712184 13857696 14330287 14868153 15025932 15426207 16552248 16597008 17947641 18282912 18621279 19824204 20034576 20568276 20786544 22069664 22129344 22538898 22959936 23930188 24828372 24895512 26432272 26712768 27424368 27715392 28660574 29736306 30051864 30852414 33104496 33194016 35895282 36565824 37242558 39648408 40069152 41136552 41573088 42990861 44139328 44604459 45077796 47860376 49656744 49791024 52864544 53842923 54848736 55863837 57321148 59472612 60103728 61704828 66208992 66388032 71036731 71790564 74485116 79296816 80138304 82273104 83146176 85981722 89208918 90155592 95720752 99313488 99582048 105729088 107685846 109697472 111727674 114642296 118945224 120207456 123409656 128972583 132417984 133813377 142073462 143581128 148970232 158593632 161528769 164546208 171963444 178417836 180311184 191441504 198626976 199164096 213110193 215371692 223455348 229284592 237890448 240414912 246819312 257249521 257945166 267626754 284146924 287162256 297940464 317187264 323057538 329092416 343926888 356835672 360622368 382883008 386917749 397253952 426220386 430743384 446910696 458569184 475780896 484586307 493638624 514499042 515890332 535253508 568293848 574324512 595880928 616202341 639330579 646115076 687853776 713671344 721244736 771748563 773835498 852440772 861486768 893821392 917138368 951561792 969172614 987277248 1028998084 1031780664 1070507016 1136587696 1148649024 1160753247 1191761856 1232404682 1278661158 1292230152 1375707552 1427342688 1543497126 1547670996 1704881544 1722973536 1787642784 1848607023 1917991737 1938345228 2057996168 2063561328 2141014032 2273175392 2315245689 2321506494 2464809364 2557322316 2584460304 2751415104 2854685376 3086994252 3095341992 3409763088 3445947072 3575285568 3697214046 3835983474 3876690456 4115992336 4127122656 4282028064 4546350784 4630491378 4643012988 4929618728 5114644632 5168920608 5545821069 5753975211 6173988504 6190683984 6819526176 6945737067 7394428092 7671966948 7753380912 8231984672 8254245312 8564056128 9260982756 9286025976 9859237456 10229289264 10337841216 11091642138 11507950422 12347977008 12381367968 13639052352 13891474134 14788856184 15343933896 15506761824 16463969344 16637463207 18521965512 18572051952 19718474912 20458578528 20837211201 22183284276 23015900844 24695954016 24762735936 26496700663 27782948268 29577712368 30687867792 31013523648 33274926414 37043931024 37144103904 39436949824 40917157056 41674422402 44366568552 46031801688 49391908032 49912389621 52993401326 55565896536 59155424736 61375735584 66549852828 74087862048 74288207808 79490101989 83348844804 88733137104 92063603376 99824779242 105986802652 111131793072 118310849472 122751471168 133099705656 148175724096 158980203978 166697689608 177466274208 184127206752 199649558484 211973605304 222263586144 238470305967 266199411312 317960407956 333395379216 354932548416 368254413504 399299116968 423947210608 444527172288 476940611934 532398822624 635920815912 666790758432 715410917901 798598233936 847894421216 953881223868 1064797645248 1271841631824 1333581516864 1430821835802 1597196467872 1695788842432 1907762447736 2146232753703 2543683263648 2861643671604 3194392935744 3815524895472 4292465507406 5087366527296 5723287343208 7631049790944 8584931014812 11446574686416 15262099581888 17169862029624 22893149372832 34339724059248 45786298745664 68679448118496 137358896236992
• Sum of all divisors σ(n): 422042893344072
• Sum of proper divisors (its aliquot sum) s(n): 284683997107080
• 137358896236992 is an abundant number, because the sum of its proper divisors (284683997107080) is greater than itself. Its abundance is 147325100870088

Bases of 137358896236992

• Binary: 11111001110110101011100001101111000100111000000₂
• Hexadecimal: 0x7CED5C3789C0
• Base-36: 1COTT0BG00

Squares and roots of 137358896236992

• 137358896236992 squared (137358896236992²) is 18867466375444735017829208064
• 137358896236992 cubed (137358896236992³) is 2591614356119648902310958977570717021503488
• The square root of 137358896236992 is 11720021.1705010155
• The cube root of 137358896236992 is 51596.3441409885

Scales and comparisons

• 137,358,896,236,992 seconds is equal to 4,367,588 years, 1 week, 18 hours, 43 minutes, 12 seconds.
• To count from 1 to 137,358,896,236,992 would take you about ten million, nine hundred eighteen thousand, nine hundred seventy 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 137358896236992 cubic inches would be around 4299.7 feet tall.

Recreational maths with 137358896236992

• 137358896236992 backwards is 299632698853731
• 137358896236992 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137358896236992's digits is 81
• More coming soon!