137867253495768

Names of 137867253495768

• Cardinal: 137867253495768 can be written as One hundred thirty-seven trillion, eight hundred sixty-seven billion, two hundred fifty-three million, four hundred ninety-five thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.37867253495768 × 10¹⁴

Factors of 137867253495768

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 46520

Divisors of 137867253495768

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 8 9 12 18 24 29 31 36 43 58 62 72 86 87 93 116 124 129 172 174 186 232 248 258 261 279 344 348 372 387 516 522 558 696 744 774 899 1032 1044 1093 1116 1247 1333 1548 1798 2088 2186 2232 2494 2666 2697 3096 3279 3596 3741 3999 4372 4988 5332 5394 6558 7192 7482 7998 8091 8744 9837 9976 10664 10788 11223 11997 13116 14964 15996 16182 19674 21576 22446 23994 26232 29928 31697 31992 32364 33883 38657 39348 44892 45319 46999 47988 63394 64728 67766 77314 78696 89784 90638 93998 95091 95976 101649 115971 126788 135532 135957 140997 154628 181276 187996 190182 203298 231942 253576 271064 271914 281994 285273 304947 309256 347913 362552 375992 380364 406596 407871 422991 463884 543828 563988 570546 609894 695826 760728 813192 815742 845982 927768 982607 1087656 1127976 1141092 1219788 1314251 1362971 1391652 1404889 1456969 1631484 1691964 1948717 1965214 2282184 2439576 2628502 2725942 2783304 2809778 2913938 2947821 3262968 3383928 3897434 3930428 3942753 4088913 4214667 4370907 5257004 5451884 5619556 5827876 5846151 5895642 7794868 7860856 7885506 8177826 8429334 8741814 8843463 10514008 10903768 11239112 11655752 11692302 11791284 11828259 12266739 12644001 13112721 15589736 15771012 16355652 16858668 17483628 17538453 17686926 23384604 23582568 23656518 24533478 25288002 26225442 31542024 32711304 33717336 34967256 35076906 35373852 40741781 42252101 46769208 47313036 49066956 49533667 50576004 52450884 56512793 60410227 70153812 70747704 81483562 84504202 94626072 98133912 99067334 101152008 104901768 113025586 120820454 122225343 126756303 140307624 148601001 162967124 169008404 169538379 181230681 198134668 226051172 241640908 244450686 253512606 297202002 325934248 338016808 339076758 362461362 366676029 380268909 396269336 445803003 452102344 483281816 488901372 507025212 508615137 543692043 594404004 678153516 724922724 733352058 760537818 891606006 977802744 1014050424 1017230274 1087384086 1188808008 1356307032 1436476343 1449845448 1466704116 1521075636 1535543677 1751896583 1783212012 2034460548 2129947681 2174768172 2872952686 2933408232 3042151272 3071087354 3503793166 3566424024 4068921096 4259895362 4309429029 4349536344 4606631031 5255689749 5745905372 6142174708 6389843043 7007586332 8519790724 8618858058 9213262062 10511379498 11491810744 12284349416 12779686086 12928287087 13819893093 14015172664 15767069247 17039581448 17237716116 18426524124 19169529129 21022758996 25559372172 25856574174 27639786186 31534138494 34475432232 36853048248 38339058258 42045517992 44530766633 51118744344 51713148348 55279572372 61768482749 63068276988 66028378111 76678116516 89061533266 103426296696 110559144744 123536965498 126136553976 132056756222 133592299899 153356233032 178123066532 185305448247 198085134333 247073930996 264113512444 267184599798 356246133064 370610896494 396170268666 400776899697 494147861992 528227024888 534369199596 555916344741 594255402999 741221792988 792340537332 801553799394 1068738399192 1111832689482 1188510805998 1482443585976 1584681074664 1603107598788 1914822965219 2223665378964 2377021611996 3206215197576 3829645930438 4447330757928 4754043223992 5744468895657 7659291860876 11488937791314 15318583721752 17233406686971 22977875582628 34466813373942 45955751165256 68933626747884 137867253495768
• Sum of all divisors σ(n): 408381202944000
• Sum of proper divisors (its aliquot sum) s(n): 270513949448232
• 137867253495768 is an abundant number, because the sum of its proper divisors (270513949448232) is greater than itself. Its abundance is 132646695952464

Bases of 137867253495768

• Binary: 11111010110001110111000101010111011011111011000₂
• Hexadecimal: 0x7D63B8ABB7D8
• Base-36: 1CVBCB3RA0

Squares and roots of 137867253495768

• 137867253495768 squared (137867253495768²) is 19007379586466353816393909824
• 137867253495768 cubed (137867253495768³) is 2620495219737642740415546012210569357624832
• The square root of 137867253495768 is 11741688.6986399021
• The cube root of 137867253495768 is 51659.9174644933

Scales and comparisons

• 137,867,253,495,768 seconds is equal to 4,383,752 years, 10 weeks, 6 days, 8 hours, 22 minutes, 48 seconds.
• To count from 1 to 137,867,253,495,768 would take you about ten million, nine hundred fifty-nine thousand, three hundred eighty 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 137867253495768 cubic inches would be around 4305 feet tall.

Recreational maths with 137867253495768

• 137867253495768 backwards is 867594352768731
• The number of decimal digits it has is: 15
• The sum of 137867253495768's digits is 81
• More coming soon!