137813733290387973

Names of 137813733290387973

• Cardinal: 137813733290387973 can be written as One hundred thirty-seven quadrillion, eight hundred thirteen trillion, seven hundred thirty-three billion, two hundred ninety million, three hundred eighty-seven thousand, nine hundred seventy-three.

Scientific notation

• Scientific notation: 1.37813733290387973 × 10¹⁷

Factors of 137813733290387973

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 296

Divisors of 137813733290387973

• Number of divisors d(n): 432
• Complete list of divisors:
  1 3 7 13 21 39 73 91 97 103 169 219 273 291 309 507 511 679 721 949 1183 1261 1339 1533 2037 2163 2847 3549 3783 4017 5329 6643 7081 7519 8827 9373 9409 9991 10609 12337 15987 16393 17407 19929 21243 22557 26481 28119 28227 29973 31827 37011 37303 49179 49567 52221 52633 65863 69277 69937 74263 86359 92053 97747 111909 114751 121849 122317 129883 137917 148701 157899 197589 207831 209811 222789 259077 276159 293241 344253 365547 366951 389017 389649 413751 484939 516913 548887 644371 684229 686857 729343 774457 856219 900601 909181 965419 969127 1029073 1167051 1196689 1270711 1454817 1550739 1590121 1646661 1688479 1792921 1933113 2052687 2060571 2188029 2323371 2568657 2701803 2723119 2727543 2896257 2907381 3087219 3590067 3618391 3812133 3842209 4770363 4807999 5057221 5065437 5105401 5378763 5421199 6304207 6719869 6783889 7135531 7203511 8169357 8376823 8894977 8929141 9481459 10067941 10855173 11130847 11526627 11819353 12550447 12598651 13377949 14423997 15171663 15316203 16263597 18912621 20159607 20351667 21406593 21610533 25130469 26684931 26787423 28444377 30203823 33392541 35400547 35458059 37651341 37734649 37795953 40068751 40133847 47039083 49948717 50140561 53242039 56535361 62503987 65743873 66370213 70475587 70746271 75122329 87358297 88190557 92761903 93645643 99820081 106201641 113203947 116078833 120206253 123258967 130883233 141117249 149846151 150421683 159726117 163782463 169606083 173913337 187511961 197231619 199110639 211426761 212238813 225366987 262074891 264142543 264571671 278285709 280481257 280936929 299460243 348236499 350983927 369776901 372694273 392649699 395747527 460207111 490550437 491347389 495223897 520893763 521740011 525856303 611508079 649333321 651827293 692146507 698740567 734959693 792427629 812551831 841443771 862812769 916182631 919701523 976590277 1052951781 1118082819 1146477241 1187242581 1217393359 1297661053 1380621333 1471651311 1485671691 1562681289 1577568909 1834524237 1947999963 1955481879 2076439521 2096221701 2204879079 2437655493 2588438307 2748547893 2759104569 2929770831 3433853059 3439431723 3646256341 3652180077 3660260953 3886668847 3892983159 4127081353 4562791051 4845025549 5144717851 5164477783 5483930017 6377155681 6437910661 6771618919 6836131939 7286865913 8473754809 8997904591 9083627371 9554476009 10301559177 10938769023 10980782859 11660006541 11956119799 12381244059 12695673601 13688373153 14535076647 15434153553 15493433349 16451790051 16869593689 19131467043 19313731983 20314856757 20508395817 21860597739 25421264427 25621826671 26993713773 27206681929 27250882113 28663428027 28889569471 35868359397 36151344481 38087020803 38387510119 44640089767 47401332433 47583392389 50526695011 50608781067 51008061391 53652057589 59316283663 62985332137 66881332063 67138211179 71291090221 76865480013 81620045787 83692838593 86668708413 88869715207 94729256869 108454033443 115162530357 118087155823 133920269301 142203997299 142750177167 151580085033 153024184173 160956172767 177948850989 188955996411 200643996189 201414633537 213873270663 251078515779 266609145621 284187770607 333083746723 353686865077 354261467469 375564403123 377006878159 400326891241 469967478253 499037631547 531941211649 618584101057 656847035143 663104798083 697476748657 872796745327 926784172873 999251240169 1061060595231 1126693209369 1131020634477 1200980673723 1231480339297 1409902434759 1497112894641 1595823634947 1855752303171 1970541105429 1989314394249 2092430245971 2618390235981 2639048147113 2780352518619 2802288238687 3694441017891 3723588481543 4330088707399 4597929246001 4882337240599 4901089416067 5204249586133 6109577217289 6487489210111 6915235751437 7917144441339 8406864716061 8620362375079 11170765444629 12990266122197 13793787738003 14647011721797 14703268248201 15612748758399 18328731651867 19462467630333 20745707254311 25861087125237 34307625912469 36429747102931 38831708450377 48406650260059 63714162408871 67655244619729 89898064768681 102922877737407 109289241308793 116495125351131 145219950780177 191142487226613 202965733859187 269694194306043 271821959152639 445999136862097 473586712338103 504812209854901 629286453380767 815465877457917 1337997410586291 1420760137014309 1514436629564703 1887859360142301 3533685468984307 6562558728113713 10601056406952921 19687676184341139 45937911096795991 137813733290387973
• Sum of all divisors σ(n): 235241855139208320
• Sum of proper divisors (its aliquot sum) s(n): 97428121848820347
• 137813733290387973 is a deficient number, because the sum of its proper divisors (97428121848820347) is less than itself. Its deficiency is 40385611441567626

Bases of 137813733290387973

• Binary: 111101001100111001101110000111001111100011010101000000101₂
• Hexadecimal: 0x1E99CDC39F1AA05
• Base-36: 11OYW323Y58L

Squares and roots of 137813733290387973

• 137813733290387973 squared (137813733290387973²) is 18992625083434190239191592863048729
• 137813733290387973 cubed (137813733290387973³) is 2617444567732732116622566697128134914537344014536317
• The square root of 137813733290387973 is 371232721.2011193027
• The cube root of 137813733290387973 is 516532.3178878679

Scales and comparisons

• 137,813,733,290,387,973 seconds is equal to 4,382,050,432 years, 39 weeks, 6 days, 15 hours, 19 minutes, 33 seconds.
• To count from 1 to 137,813,733,290,387,973 would take you about thirteen billion, one hundred forty-six million, one hundred fifty-one thousand, two hundred ninety-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 137813733290387973 cubic inches would be around 43044.4 feet tall.

Recreational maths with 137813733290387973

• 137813733290387973 backwards is 379783092337318731
• The number of decimal digits it has is: 18
• The sum of 137813733290387973's digits is 84
• More coming soon!