137107917257481000

Names of 137107917257481000

• Cardinal: 137107917257481000 can be written as One hundred thirty-seven quadrillion, one hundred seven trillion, nine hundred seventeen billion, two hundred fifty-seven million, four hundred eighty-one thousand.

Scientific notation

• Scientific notation: 1.37107917257481 × 10¹⁷

Factors of 137107917257481000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 4674

Divisors of 137107917257481000

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1093 1125 1500 1800 2186 2250 3000 3279 3571 4372 4500 5465 6558 7142 8744 9000 9837 10713 10930 13116 14284 16395 17855 19674 21426 21860 26232 27325 28568 32139 32790 35710 39348 42852 43720 49185 53565 54650 64278 65580 71420 78696 81975 85704 89275 98370 107130 109300 128556 131160 136625 142840 160695 163950 178550 196740 214260 218600 245925 257112 267825 273250 321390 327900 357100 393480 409875 428520 446375 491850 535650 546500 642780 655800 714200 803475 819750 892750 983700 1071300 1093000 1194649 1229625 1285560 1339125 1606950 1639500 1785500 1967400 2142600 2389298 2459250 2678250 3213900 3279000 3571000 3583947 3903103 4017375 4778596 4918500 5356500 5973245 6427800 7167894 7806206 8034750 9557192 9837000 10713000 10751841 11709309 11946490 12752041 14335788 15612412 16069500 17919735 19515515 21503682 23418618 23892980 25504082 28671576 29866225 31224824 32139000 35127927 35839470 38256123 39031030 43007364 46837236 47785960 51008164 53759205 58546545 59732450 63760205 70255854 71678940 76512246 78062060 86014728 89598675 93674472 97577575 102016328 107518410 114768369 117093090 119464900 127520410 140511708 143357880 149331125 153024492 156124120 175639635 179197350 191280615 195155150 215036820 229536738 234186180 238929800 255040820 268796025 281023416 292732725 298662250 306048984 318801025 351279270 358394700 382561230 390310300 430073640 447993375 459073476 468372360 487887875 510081640 537592050 573841845 585465450 597324500 637602050 702558540 716789400 765122460 780620600 878198175 895986750 918146952 956403075 975775750 1075184100 1147683690 1170930900 1194649000 1275204100 1343980125 1405117080 1463663625 1530244920 1594005125 1756396350 1791973500 1912806150 1951551500 2150368200 2295367380 2341861800 2550408200 2687960250 2869209225 2927327250 3188010250 3512792700 3583947000 3825612300 3903103000 4266091579 4390990875 4590734760 4782015375 5375920500 5738418450 5854654500 6376020500 7025585400 7651224600 8532183158 8781981750 9564030750 10751841000 11476836900 11709309000 12752041000 12798274737 13937980813 14346046125 17064366316 17563963500 19128061500 21330457895 22953673800 25596549474 27875961626 28692092250 34128732632 35127927000 38256123000 38394824211 41813942439 42660915790 51193098948 55751923252 57384184500 63991373685 69689904065 76789648422 83627884878 85321831580 102386197896 106652289475 111503846504 114768369000 125441827317 127982747370 139379808130 153579296844 167255769756 170643663160 191974121055 209069712195 213304578950 250883654634 255965494740 278759616260 307158593688 319956868425 334511539512 348449520325 383948242110 418139424390 426609157900 501767309268 511930989480 533261447375 557519232520 627209136585 639913736850 696899040650 767896484220 836278848780 853218315800 959870605275 1003534618536 1045348560975 1066522894750 1254418273170 1279827473700 1393798081300 1535792968440 1599784342125 1672557697560 1742247601625 1919741210550 2090697121950 2133045789500 2508836546340 2559654947400 2787596162600 3136045682925 3199568684250 3484495203250 3839482421100 4181394243900 4266091579000 4799353026375 5017673092680 5226742804875 6272091365850 6399137368500 6968990406500 7678964842200 8362788487800 9598706052750 10453485609750 12544182731700 12798274737000 13937980813000 15234213028609 15680228414625 19197412105500 20906971219500 25088365463400 30468426057218 31360456829250 38394824211000 41813942439000 45702639085827 60936852114436 62720913658500 76171065143045 91405278171654 121873704228872 125441827317000 137107917257481 152342130286090 182810556343308 228513195429135 274215834514962 304684260572180 365621112686616 380855325715225 457026390858270 548431669029924 609368521144360 685539586287405 761710651430450 914052781716540 1096863338059848 1142565977145675 1371079172574810 1523421302860900 1828105563433080 1904276628576125 2285131954291350 2742158345149620 3046842605721800 3427697931437025 3808553257152250 4570263908582700 5484316690299240 5712829885728375 6855395862874050 7617106514304500 9140527817165400 11425659771456750 13710791725748100 15234213028609000 17138489657185125 22851319542913500 27421583451496200 34276979314370250 45702639085827000 68553958628740500 137107917257481000
• Sum of all divisors σ(n): 463979071345062780
• Sum of proper divisors (its aliquot sum) s(n): 326871154087581780
• 137107917257481000 is an abundant number, because the sum of its proper divisors (326871154087581780) is greater than itself. Its abundance is 189763236830100780

Bases of 137107917257481000

• Binary: 111100111000110101110110010100000000001101001101100101000₂
• Hexadecimal: 0x1E71AECA0069B28
• Base-36: 11I0P7NDL2Y0

Squares and roots of 137107917257481000

• 137107917257481000 squared (137107917257481000²) is 18798580974684256220450465361000000
• 137107917257481000 cubed (137107917257481000³) is 2577434284835065531022933083225169308615641000000000
• The square root of 137107917257481000 is 370280862.6670854563
• The cube root of 137107917257481000 is 515648.9976852627

Scales and comparisons

• 137,107,917,257,481,000 seconds is equal to 4,359,607,666 years, 8 weeks, 2 hours, 30 minutes.
• To count from 1 to 137,107,917,257,481,000 would take you about thirteen billion, seventy-eight million, eight hundred twenty-two thousand, nine 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 137107917257481000 cubic inches would be around 42970.7 feet tall.

Recreational maths with 137107917257481000

• 137107917257481000 backwards is 000184752719701731
• The number of decimal digits it has is: 18
• The sum of 137107917257481000's digits is 63
• More coming soon!