137818152096768

Names of 137818152096768

• Cardinal: 137818152096768 can be written as One hundred thirty-seven trillion, eight hundred eighteen billion, one hundred fifty-two million, ninety-six thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.37818152096768 × 10¹⁴

Factors of 137818152096768

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 810731

Divisors of 137818152096768

• Number of divisors d(n): 704
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 39 43 44 48 52 54 64 66 72 78 86 88 96 99 104 108 117 128 129 132 143 144 156 172 176 192 198 208 216 234 256 258 264 286 288 297 312 344 351 352 384 387 396 416 429 432 468 473 512 516 528 559 572 576 594 624 688 702 704 768 774 792 832 858 864 936 946 1024 1032 1056 1118 1144 1152 1161 1188 1248 1287 1376 1404 1408 1419 1536 1548 1584 1664 1677 1716 1728 1872 1892 2064 2112 2236 2288 2304 2322 2376 2496 2574 2752 2808 2816 2838 3072 3096 3168 3328 3354 3432 3456 3744 3784 3861 4128 4224 4257 4472 4576 4608 4644 4752 4992 5031 5148 5504 5616 5632 5676 6149 6192 6336 6656 6708 6864 6912 7488 7568 7722 8256 8448 8514 8944 9152 9216 9288 9504 9984 10062 10296 11008 11232 11264 11352 12298 12384 12672 12771 13312 13416 13728 13824 14976 15093 15136 15444 16512 16896 17028 17888 18304 18447 18576 19008 19968 20124 20592 22016 22464 22704 24596 24768 25344 25542 26832 27456 27648 29952 30186 30272 30888 33024 33792 34056 35776 36608 36894 37152 38016 39936 40248 41184 44032 44928 45408 49192 49536 50688 51084 53664 54912 55341 59904 60372 60544 61776 66048 68112 71552 73216 73788 74304 76032 80496 82368 89856 90816 98384 99072 101376 102168 107328 109824 110682 119808 120744 121088 123552 132096 136224 143104 146432 147576 148608 152064 160992 164736 166023 179712 181632 196768 198144 204336 214656 219648 221364 241488 242176 247104 272448 286208 295152 297216 304128 321984 329472 332046 359424 363264 393536 396288 408672 429312 439296 442728 482976 484352 494208 544896 572416 590304 594432 643968 658944 664092 726528 787072 810659 817344 858624 885456 965952 988416 1089792 1180608 1188864 1287936 1317888 1328184 1453056 1574144 1621318 1634688 1717248 1770912 1931904 1976832 2179584 2361216 2431977 2575872 2656368 3148288 3242636 3269376 3541824 3863808 3953664 4359168 4722432 4863954 5151744 5312736 6296576 6485272 6538752 7083648 7295931 7727616 8917249 9444864 9727908 10538567 10625472 12970544 13077504 14167296 14591862 15455232 17834498 18889728 19455816 21077134 21250944 21887793 25941088 26751747 28334592 29183724 31615701 34858337 35668996 38911632 42154268 42501888 43775586 51882176 53503494 56669184 58367448 63231402 69716674 71337992 77823264 80255241 84308536 85003776 87551172 94847103 103764352 104575011 107006988 115924237 116734896 126462804 139433348 142675984 155646528 160510482 168617072 170007552 175102344 189694206 207528704 209150022 214013976 231848474 233469792 240765723 252925608 278866696 284541309 285351968 311293056 313725033 321020964 337234144 347772711 350204688 379388412 383441707 415057408 418300044 428027952 453158381 463696948 466939584 481531446 505851216 557733392 569082618 570703936 622586112 627450066 642041928 674468288 695545422 700409376 758776824 766883414 830114816 836600088 856055904 906316762 927393896 933879168 941175099 963062892 1011702432 1043318133 1115466784 1138165236 1141407872 1150325121 1245172224 1254900132 1284083856 1348936576 1359475143 1391090844 1400818752 1517553648 1533766828 1673200176 1712111808 1812633524 1854787792 1867758336 1882350198 1926125784 2023404864 2086636266 2230933568 2276330472 2282815744 2300650242 2490344448 2509800264 2568167712 2697873152 2718950286 2782181688 2801637504 3035107296 3067533656 3129954399 3346400352 3424223616 3450975363 3625267048 3709575584 3735516672 3764700396 3852251568 4046809728 4078425429 4173272532 4461867136 4552660944 4565631488 4601300484 4984742191 5019600528 5136335424 5395746304 5437900572 5564363376 5603275008 6070214592 6135067312 6259908798 6692800704 6848447232 6901950726 7250534096 7419151168 7471033344 7529400792 7704503136 8093619456 8156850858 8346545064 8923734272 9105321888 9131262976 9202600968 9969484382 10039201056 10272670848 10352926089 10791492608 10875801144 11128726752 11206550016 12140429184 12235276287 12270134624 12519817596 13385601408 13696894464 13803901452 14501068192 14838302336 14954226573 15058801584 15409006272 16187238912 16313701716 16693090128 17847468544 18210643776 18405201936 19938968764 20078402112 20545341696 20705852178 21751602288 22257453504 22413100032 24280858368 24470552574 24540269248 25039635192 26771202816 27393788928 27607802904 29002136384 29676604672 29908453146 30117603168 30818012544 32374477824 32627403432 33386180256 35694937088 36421287552 36810403872 39877937528 40156804224 41090683392 41411704356 43503204576 44514907008 44862679719 48561716736 48941105148 49080538496 50079270384 53542405632 55215605808 58004272768 59353209344 59816906292 60235206336 61636025088 65254806864 66772360512 72842575104 73620807744 79755875056 80313608448 82181366784 82823408712 87006409152 89029814016 89725359438 97123433472 97882210296 98161076992 100158540768 107084811264 110431211616 116008545536 118706418688 119633812584 120470412672 123272050176 130509613728 133544721024 134588039157 145685150208 147241615488 159511750112 160627216896 165646817424 174012818304 178059628032 179450718876 195764420592 196322153984 200317081536 220862423232 232017091072 239267625168 240940825344 246544100352 261019227456 267089442048 269176078314 291370300416 294483230976 319023500224 321254433792 331293634848 348025636608 356119256064 358901437752 391528841184 392644307968 400634163072 441724846464 464034182144 478535250336 481881650688 522038454912 534178884096 538352156628 588966461952 638047000448 662587269696 696051273216 717802875504 783057682368 801268326144 883449692928 957070500672 963763301376 1044076909824 1068357768192 1076704313256 1177932923904 1276094000896 1325174539392 1392102546432 1435605751008 1566115364736 1602536652288 1766899385856 1914141001344 2088153819648 2153408626512 2552188001792 2650349078784 2871211502016 3132230729472 3205073304576 3533798771712 3828282002688 4176307639296 4306817253024 5104376003584 5300698157568 5742423004032 6264461458944 7656564005376 8613634506048 10601396315136 11484846008064 12528922917888 15313128010752 17227269012096 22969692016128 34454538024192 45939384032256 68909076048384 137818152096768
• Sum of all divisors σ(n): 490657607193600
• Sum of proper divisors (its aliquot sum) s(n): 352839455096832
• 137818152096768 is an abundant number, because the sum of its proper divisors (352839455096832) is greater than itself. Its abundance is 215021303000064

Bases of 137818152096768

• Binary: 11111010101100001001001111111111101010000000000₂
• Hexadecimal: 0x7D5849FFD400
• Base-36: 1CUOS9EDC0

Squares and roots of 137818152096768

• 137818152096768 squared (137818152096768²) is 18993843047367877874836045824
• 137818152096768 cubed (137818152096768³) is 2617696350004285596879285944643131730296832
• The square root of 137818152096768 is 11739597.6122168685
• The cube root of 137818152096768 is 51653.7838459859

Scales and comparisons

• 137,818,152,096,768 seconds is equal to 4,382,190 years, 48 weeks, 5 days, 2 hours, 52 minutes, 48 seconds.
• To count from 1 to 137,818,152,096,768 would take you about ten million, nine hundred fifty-five thousand, four hundred seventy-seven 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 137818152096768 cubic inches would be around 4304.5 feet tall.

Recreational maths with 137818152096768

• 137818152096768 backwards is 867690251818731
• 137818152096768 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137818152096768's digits is 72
• More coming soon!