137229613628501760

Names of 137229613628501760

• Cardinal: 137229613628501760 can be written as One hundred thirty-seven quadrillion, two hundred twenty-nine trillion, six hundred thirteen billion, six hundred twenty-eight million, five hundred one thousand, seven hundred sixty.

Scientific notation

• Scientific notation: 1.3722961362850176 × 10¹⁷

Factors of 137229613628501760

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 620

Divisors of 137229613628501760

• Number of divisors d(n): 540
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 289 320 340 384 408 480 510 544 578 593 640 680 768 816 867 960 1020 1088 1156 1186 1280 1360 1445 1632 1734 1779 1920 2040 2176 2312 2372 2720 2890 2965 3264 3468 3558 3840 4080 4335 4352 4624 4744 5440 5780 5930 6528 6936 7116 8160 8670 8895 9248 9488 10081 10880 11560 11860 13056 13872 14232 16320 17340 17790 18496 18976 20162 21760 23120 23720 27744 28464 30243 32640 34680 35580 36992 37952 40324 46240 47440 50405 55488 56928 60486 65280 69360 71160 73984 75904 80648 92480 94880 100810 110976 113856 120972 138720 142320 151215 151808 161296 171377 184960 189760 201620 221952 227712 241944 277440 284640 302430 322592 342754 351649 369920 379520 403240 455424 483888 514131 554880 569280 604860 645184 685508 703298 759040 806480 856885 967776 1028262 1054947 1109760 1138560 1209720 1290368 1371016 1406596 1612960 1713770 1758245 1935552 2056524 2109894 2277120 2419440 2570655 2580736 2742032 2813192 3225920 3427540 3516490 3871104 4113048 4219788 4838880 5141310 5274735 5484064 5626384 5978033 6451840 6855080 7032980 7742208 8226096 8439576 9677760 10282620 10549470 10968128 11252768 11956066 12903680 13710160 14065960 16452192 16879152 17934099 19355520 20565240 21098940 21936256 22505536 23912132 27420320 28131920 29890165 32904384 33758304 35868198 38711040 41130480 42197880 43872512 45011072 47824264 54840640 56263840 59780330 65808768 67516608 71736396 82260960 84395760 89670495 90022144 95648528 101626561 109681280 112527680 119560660 131617536 135033216 143472792 164521920 168791520 179340990 191297056 203253122 208527857 219362560 225055360 239121320 270066432 286945584 304879683 329043840 337583040 358681980 382594112 406506244 417055714 450110720 478242640 508132805 573891168 609759366 625583571 658087680 675166080 717363960 765188224 813012488 834111428 956485280 1016265610 1042639285 1147782336 1219518732 1251167142 1350332160 1434727920 1524398415 1530376448 1626024976 1668222856 1912970560 2032531220 2085278570 2295564672 2439037464 2502334284 2869455840 3048796830 3127917855 3252049952 3336445712 3544973569 3825941120 4065062440 4170557140 4591129344 4878074928 5004668568 5738911680 6097593660 6255835710 6504099904 6672891424 7089947138 7651882240 8130124880 8341114280 9756149856 10009337136 10634920707 11477823360 12195187320 12511671420 13008199808 13345782848 14179894276 16260249760 16682228560 17724867845 19512299712 20018674272 21269841414 22955646720 24390374640 25023342840 26016399616 26691565696 28359788552 32520499520 33364457120 35449735690 39024599424 40037348544 42539682828 48780749280 50046685680 53174603535 53383131392 56719577104 60264550673 65040999040 66728914240 70899471380 78049198848 80074697088 85079365656 97561498560 100093371360 106349207070 113439154208 120529101346 123657019201 130081998080 133457828480 141798942760 160149394176 170158731312 180793652019 195122997120 200186742720 212698414140 226878308416 241058202692 247314038402 266915656960 283597885520 301322753365 340317462624 361587304038 370971057603 390245994240 400373485440 425396828280 453756616832 482116405384 494628076804 567195771040 602645506730 618285096005 680634925248 723174608076 741942115206 800746970880 850793656560 903968260095 907513233664 964232810768 989256153608 1134391542080 1205291013460 1236570192010 1361269850496 1446349216152 1483884230412 1701587313120 1807936520190 1854855288015 1928465621536 1978512307216 2102169326417 2268783084160 2410582026920 2473140384020 2722539700992 2892698432304 2967768460824 3403174626240 3615873040380 3709710576030 3856931243072 3957024614432 4204338652834 4537566168320 4821164053840 4946280768040 5785396864608 5935536921648 6306507979251 6806349252480 7231746080760 7419421152060 7713862486144 7914049228864 8408677305668 9642328107680 9892561536080 10510846632085 11570793729216 11871073843296 12613015958502 13612698504960 14463492161520 14838842304120 15427724972288 15828098457728 16817354611336 19284656215360 19785123072160 21021693264170 23141587458432 23742147686592 25226031917004 28926984323040 29677684608240 31532539896255 31656196915456 33634709222672 35736878549089 38569312430720 39570246144320 42043386528340 46283174916864 47484295373184 50452063834008 57853968646080 59355369216480 63065079792510 67269418445344 71473757098178 77138624861440 79140492288640 84086773056680 94968590746368 100904127668016 107210635647267 115707937292160 118710738432960 126130159585020 134538836890688 142947514196356 158280984577280 168173546113360 178684392745445 201808255336032 214421271294534 231415874584320 237421476865920 252260319170040 269077673781376 285895028392712 336347092226720 357368785490890 403616510672064 428842542589068 474842953731840 504520638340080 536053178236335 538155347562752 571790056785424 672694184453440 714737570981780 807233021344128 857685085178136 1009041276680160 1072106356472670 1143580113570848 1345388368906880 1429475141963560 1614466042688256 1715370170356272 2018082553360320 2144212712945340 2287160227141696 2690776737813760 2858950283927120 3430740340712544 4036165106720640 4288425425890680 4574320454283392 5717900567854240 6861480681425088 8072330213441280 8576850851781360 9148640908566784 11435801135708480 13722961362850176 17153701703562720 22871602271416960 27445922725700352 34307403407125440 45743204542833920 68614806814250880 137229613628501760
• Sum of all divisors σ(n): 466361056431431448
• Sum of proper divisors (its aliquot sum) s(n): 329131442802929688
• 137229613628501760 is an abundant number, because the sum of its proper divisors (329131442802929688) is greater than itself. Its abundance is 191901829174427928

Bases of 137229613628501760

• Binary: 111100111100010011001101101000100111111011010111100000000₂
• Hexadecimal: 0x1E7899B44FDAF00
• Base-36: 11J7U66US8AO

Squares and roots of 137229613628501760

• 137229613628501760 squared (137229613628501760²) is 18831966856627875984252222323097600
• 137229613628501760 cubed (137229613628501760³) is 2584303535599794219983214284952898623206930251776000
• The square root of 137229613628501760 is 370445156.0332538079
• The cube root of 137229613628501760 is 515801.5151470097

Scales and comparisons

• 137,229,613,628,501,760 seconds is equal to 4,363,477,234 years, 16 weeks, 4 days, 20 hours, 16 minutes.
• To count from 1 to 137,229,613,628,501,760 would take you about thirteen billion, ninety million, four hundred thirty-one thousand, seven hundred 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 137229613628501760 cubic inches would be around 42983.5 feet tall.

Recreational maths with 137229613628501760

• 137229613628501760 backwards is 067105826316922731
• The number of decimal digits it has is: 18
• The sum of 137229613628501760's digits is 69
• More coming soon!