137582113633642132

Names of 137582113633642132

• Cardinal: 137582113633642132 can be written as One hundred thirty-seven quadrillion, five hundred eighty-two trillion, one hundred thirteen billion, six hundred thirty-three million, six hundred forty-two thousand, one hundred thirty-two.

Scientific notation

• Scientific notation: 1.37582113633642132 × 10¹⁷

Factors of 137582113633642132

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 4519

Divisors of 137582113633642132

• Number of divisors d(n): 540
• Complete list of divisors:
  1 2 4 7 13 14 26 28 49 52 61 73 91 98 122 146 169 182 196 244 292 338 343 364 427 511 637 676 686 793 854 949 1022 1183 1274 1372 1586 1708 1898 2044 2366 2401 2548 2989 3172 3577 3796 4363 4453 4459 4732 4802 5551 5978 6643 7154 8281 8726 8906 8918 9604 10309 11102 11956 12337 13286 14308 16562 17452 17812 17836 20618 20923 22204 24674 25039 26572 30541 31171 31213 33124 38857 41236 41846 46501 49348 50078 56719 57889 57967 61082 62342 62426 72163 77714 83692 86359 93002 100156 113438 115778 115934 122164 124684 124852 144326 146461 155428 172718 175273 186004 213787 218197 226876 231556 231868 266143 271999 288652 292922 318499 325507 345436 350546 397033 405223 405769 427574 436394 505141 532286 543998 585844 604513 636998 651014 701092 737347 752557 794066 810446 811538 855148 872788 1010282 1064572 1087996 1209026 1273996 1302028 1474694 1496509 1505114 1527379 1588132 1620892 1623076 1863001 1903993 2020564 2229493 2278549 2418052 2779231 2836561 2949388 2993018 3010228 3054758 3459859 3535987 3726002 3807986 4140487 4231591 4458986 4557098 5161429 5267899 5558462 5673122 5986036 6109516 6919718 7071974 7452004 7615972 8280974 8463182 8917972 9114196 10322858 10475563 10535798 10691653 11116924 11346244 13041007 13839436 14143948 15606451 16561948 16926364 19035769 19428439 19454617 19855927 20645716 20951126 21071596 21383306 24219013 24751909 26082014 28983409 29621137 31212902 36130003 36875293 38071538 38856878 38909234 39711854 41902252 42766612 44978167 48438026 49503818 52164028 53826331 57966818 59242274 62425804 72260006 73750586 76143076 77713756 77818468 79423708 89956334 91287049 96876052 99007636 107652662 109245157 115933636 118484548 133250383 135999073 136182319 138991489 144520012 147501172 169533091 179912668 182574098 202883863 215305324 218490314 247464997 252569707 252910021 258127051 266500766 271998146 272364638 277982978 314847169 339066182 365148196 376784317 405767726 436980628 494929994 505139414 505820042 516254102 533001532 543996292 544729276 555965956 629694338 639009343 678132364 753568634 764716099 811535452 932752681 951993511 989859988 1010278828 1011640084 1032508204 1161181909 1186731637 1259388676 1278018686 1389611137 1420187041 1507137268 1529432198 1732254979 1767987949 1770370147 1806889357 1865505362 1903987022 2203930183 2322363818 2373463274 2556037372 2637490219 2779222274 2840374082 3058864396 3217044961 3283406191 3464509958 3535975898 3540740294 3613778714 3731010724 3807974044 4407860366 4644727636 4746926548 5274980438 5558444548 5680748164 6434089922 6529268767 6566812382 6663954577 6929019916 7071951796 7081480588 7227557428 8128273363 8307121459 8815720732 9727277959 9941309287 10549960876 12125784853 12375915643 12868179844 13058537534 13133624764 13327909154 15095364817 15427511281 16256546726 16614242918 18064944781 18462431533 19454555918 19882618574 22519314727 22983843337 24251569706 24751831286 26117075068 26655818308 30190729634 30855022562 32513093452 33228485836 36129889562 36924863066 38909111836 39765237148 45038629454 45704881369 45967686674 46647682039 48503139412 49503662572 56897913541 60381459268 61710045124 68090945713 72259779124 73849726132 84766279357 84880493971 86631409501 90077258908 91409762738 91935373348 93295364078 105667553719 107992578967 113795827082 126454613467 129237020731 136181891426 157635203089 160886903359 169532558714 169760987942 173262819002 182819525476 186590728156 196239742621 211335107438 215985157934 227591654164 234844282153 252909226934 258474041462 272363782852 315270406178 321773806718 339065117428 339521975884 346525638004 392479485242 398285394787 422670214876 431970315868 469688564306 476636619991 505818453868 516948082924 593363955499 594163457797 606419866507 630540812356 643547613436 739672876033 784958970484 796570789574 885182294269 939377128612 953273239982 1101961631641 1103446421623 1126208323513 1186727910998 1188326915594 1212839733014 1373678198347 1479345752066 1593141579148 1643909975071 1770364588538 1906546479964 2203923263282 2206892843246 2252416647026 2373455821996 2376653831188 2425679466028 2747356396694 2787997763509 2958691504132 3287819950142 3336456339937 3540729177076 4153547688493 4407846526564 4413785686492 4504833294052 5177710132231 5494712793388 5575995527018 6196276059883 6575639900284 6672912679874 7713731421487 7724124951361 7883458264591 8307095376986 9615747388429 10355420264462 11151991054036 11507369825497 12392552119766 13345825359748 14325501211333 15427462842974 15448249902722 15766916529182 16614190753972 19231494776858 20710840528924 23014739650994 24785104239532 28651002422666 29074833819451 30854925685948 30896499805444 31533833058364 36243970925617 38462989553716 43373932419181 46029479301988 53996119950409 57302004845332 58149667638902 67310231719003 72487941851234 80551588778479 86747864838362 100278508479331 107992239900818 116299335277804 134620463438006 144975883702468 161103177556958 173495729676724 200557016958662 203523836736157 215984479801636 269240926876012 322206355113916 377972839652863 401114033917324 407047673472314 471171622033021 563861121449353 701949559355317 755945679305726 814095346944628 942343244066042 1127722242898706 1403899118710634 1511891358611452 1884686488132084 2255444485797412 2645809877570041 2807798237421268 4913646915487219 5291619755140082 9827293830974438 10583239510280164 19654587661948876 34395528408410533 68791056816821066 137582113633642132
• Sum of all divisors σ(n): 313440871018498524
• Sum of proper divisors (its aliquot sum) s(n): 175858757384856392
• 137582113633642132 is an abundant number, because the sum of its proper divisors (175858757384856392) is greater than itself. Its abundance is 38276643751214260

Bases of 137582113633642132

• Binary: 111101000110010100011010000010010100101001010011010010100₂
• Hexadecimal: 0x1E8CA341294A694
• Base-36: 11MOSEGGKBDG

Squares and roots of 137582113633642132

• 137582113633642132 squared (137582113633642132²) is 18928837991900416214272183445505424
• 137582113633642132 cubed (137582113633642132³) is 2604269539554445409809406217255051733586074680923968
• The square root of 137582113633642132 is 370920629.8302133155
• The cube root of 137582113633642132 is 516242.7818534593

Scales and comparisons

• 137,582,113,633,642,132 seconds is equal to 4,374,685,644 years, 6 weeks, 5 days, 10 hours, 48 minutes, 52 seconds.
• To count from 1 to 137,582,113,633,642,132 would take you about thirteen billion, one hundred twenty-four million, fifty-six thousand, nine hundred thirty-two 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 137582113633642132 cubic inches would be around 43020.2 feet tall.

Recreational maths with 137582113633642132

• 137582113633642132 backwards is 231246336311285731
• 137582113633642132 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 137582113633642132's digits is 61
• More coming soon!