31269013321728

Names of 31269013321728

• Cardinal: 31269013321728 can be written as Thirty-one trillion, two hundred sixty-nine billion, thirteen million, three hundred twenty-one thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 3.1269013321728 × 10¹³

Factors of 31269013321728

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 78518

Divisors of 31269013321728

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 7 8 12 13 14 16 21 23 24 26 28 31 32 39 42 46 48 52 56 62 64 69 78 84 91 92 93 96 104 112 124 128 138 156 161 168 182 184 186 192 208 217 224 248 256 273 276 299 312 322 336 364 368 372 384 403 416 434 448 483 496 512 546 552 598 624 644 651 672 713 728 736 744 768 806 832 868 896 897 966 992 1024 1092 1104 1196 1209 1248 1288 1302 1344 1426 1456 1472 1488 1536 1612 1664 1736 1792 1794 1932 1984 2048 2093 2139 2184 2208 2392 2418 2496 2576 2604 2688 2821 2852 2912 2944 2976 3072 3224 3328 3472 3584 3588 3864 3968 4186 4278 4368 4416 4784 4836 4991 4992 5152 5208 5376 5642 5704 5824 5888 5952 6144 6279 6448 6656 6944 7168 7176 7728 7936 8372 8463 8556 8736 8832 9269 9568 9672 9982 9984 10304 10416 10752 11284 11408 11648 11776 11904 12558 12896 13312 13888 14336 14352 14973 15456 15872 16744 16926 17112 17472 17664 18538 19136 19344 19964 19968 20608 20832 21504 22568 22816 23296 23552 23808 25116 25792 26624 27776 27807 28704 29946 30912 31744 33488 33852 34224 34944 35328 37076 38272 38688 39928 39936 41216 41664 43008 45136 45632 46592 47104 47616 50232 51584 55552 55614 57408 59892 61824 63488 64883 66976 67704 68448 69888 70656 74152 76544 77376 78439 79856 79872 82432 83328 90272 91264 93184 95232 100464 103168 111104 111228 114816 119784 123648 129766 133952 135408 136896 139776 141312 148304 153088 154752 156878 159712 164864 166656 180544 182528 186368 190464 194649 200928 206336 222208 222456 229632 235317 239568 247296 259532 267904 270816 273792 279552 296608 306176 309504 313756 319424 329728 333312 361088 365056 389298 401856 412672 444416 444912 459264 470634 479136 494592 519064 535808 541632 547584 549073 559104 593216 612352 619008 627512 638848 666624 722176 730112 778596 803712 825344 889824 918528 941268 958272 989184 1019707 1038128 1071616 1083264 1095168 1098146 1186432 1238016 1255024 1277696 1333248 1444352 1460224 1557192 1607424 1647219 1779648 1804097 1837056 1882536 1916544 2039414 2076256 2143232 2166528 2190336 2196292 2372864 2431609 2476032 2510048 2555392 2888704 3059121 3114384 3214848 3294438 3559296 3608194 3765072 3833088 4078828 4152512 4286464 4333056 4380672 4392584 4745728 4863218 5020096 5110784 5412291 5777408 6118242 6228768 6429696 6588876 7118592 7137949 7216388 7294827 7530144 7666176 8157656 8305024 8666112 8785168 9491456 9726436 10040192 10221568 10824582 12236484 12457536 12628679 12859392 13177752 14237184 14275898 14432776 14589654 15060288 15332352 16315312 16610048 17021263 17332224 17570336 18982912 19452872 20080384 21413847 21649164 23453261 24472968 24915072 25257358 26355504 28474368 28551796 28865552 29179308 30120576 30664704 31610917 32630624 33220096 34042526 35140672 37886037 38905744 40160768 42827694 43298328 46906522 48945936 49830144 50514716 51063789 52711008 55927007 56948736 57103592 57731104 58358616 60241152 63221834 65261248 66440192 68085052 70281344 70359783 75772074 77811488 80321536 85655388 86596656 93813044 94832751 97891872 99660288 101029432 102127578 105422016 111854014 114207184 115462208 116717232 120482304 126443668 130522496 132880384 136170104 140562688 140719566 151544148 155622976 160643072 164172827 167781021 171310776 173193312 187626088 189665502 195783744 199320576 202058864 204255156 210844032 221276419 223708028 228414368 230924416 233434464 240964608 252887336 261044992 272340208 281125376 281439132 303088296 311245952 328345654 335562042 342621552 346386624 375252176 379331004 391489049 391567488 398641152 404117728 408510312 421688064 442552838 447416056 456828736 461848832 466868928 481929216 492518481 505774672 522089984 544680416 562250752 562878264 606176592 622491904 656691308 663829257 671124084 685243104 692773248 727051091 750504352 758662008 782978098 783134976 808235456 817020624 843376128 885105676 894832112 913657472 923697664 933737856 985036962 1011549344 1044179968 1089360832 1124501504 1125756528 1174467147 1212353184 1244983808 1313382616 1327658514 1342248168 1370486208 1385546496 1454102182 1501008704 1517324016 1565956196 1566269952 1616470912 1634041248 1686752256 1770211352 1789664224 1827314944 1847395328 1867475712 1970073924 2023098688 2088359936 2178721664 2181153273 2251513056 2348934294 2424706368 2489967616 2626765232 2655317028 2684496336 2740972416 2771092992 2908204364 3002017408 3034648032 3131912392 3132539904 3232941824 3268082496 3373504512 3540422704 3579328448 3654629888 3694790656 3734951424 3940147848 4046197376 4357443328 4362306546 4503026112 4697868588 4849412736 4979935232 5089357637 5253530464 5310634056 5368992672 5481944832 5542185984 5816408728 6004034816 6069296064 6263824784 6265079808 6465883648 6536164992 7080845408 7158656896 7309259776 7469902848 7880295696 8092394752 8714886656 8724613092 9006052224 9395737176 9698825472 10178715274 10507060928 10621268112 10737985344 10963889664 11084371968 11632817456 12008069632 12138592128 12527649568 12931767296 13072329984 14161690816 14317313792 14618519552 14939805696 15268072911 15760591392 16184789504 17429773312 17449226184 18012104448 18791474352 19397650944 20357430548 21014121856 21242536224 21475970688 21927779328 23265634912 24016139264 24277184256 25055299136 25863534592 26144659968 28323381632 28634627584 30536145822 31521182784 32369579008 34859546624 34898452368 36024208896 37582948704 38795301888 40714861096 42028243712 42485072448 42951941376 43855558656 46531269824 48032278528 48554368512 50110598272 52289319936 56646763264 57269255168 61072291644 63042365568 64739158016 69796904736 72048417792 75165897408 77590603776 81429722192 84056487424 84970144896 85903882752 93062539648 97108737024 100221196544 104578639872 113293526528 114538510336 122144583288 126084731136 139593809472 144096835584 150331794816 162859444384 168112974848 169940289792 171807765504 186125079296 194217474048 200442393088 226587053056 244289166576 252169462272 279187618944 300663589632 325718888768 336225949696 339880579584 343615531008 372250158592 400884786176 453174106112 488578333152 504338924544 558375237888 601327179264 651437777536 679761159168 744500317184 801769572352 977156666304 1008677849088 1116750475776 1202654358528 1302875555072 1359522318336 1489000634368 1954313332608 2233500951552 2405308717056 2605751110144 3908626665216 4467001903104 5211502220288 7817253330432 10423004440576 15634506660864 31269013321728
• Sum of all divisors σ(n): 110517416755200
• Sum of proper divisors (its aliquot sum) s(n): 79248403433472
• 31269013321728 is an abundant number, because the sum of its proper divisors (79248403433472) is greater than itself. Its abundance is 47979390111744

Bases of 31269013321728

• Binary: 111000111000001100010011011100111100000000000₂
• Hexadecimal: 0x1C70626E7800
• Base-36: B30SB6TXC

Squares and roots of 31269013321728

• 31269013321728 squared (31269013321728²) is 977751194114403132436905984
• 31269013321728 cubed (31269013321728³) is 30573315114098731215449025886134680420352
• The square root of 31269013321728 is 5591870.2883496859
• The cube root of 31269013321728 is 31504.4130280581

Scales and comparisons

• 31,269,013,321,728 seconds is equal to 994,257 years, 46 weeks, 6 days, 9 hours, 48 minutes, 48 seconds.
• To count from 1 to 31,269,013,321,728 would take you about two million, four hundred eighty-five thousand, six hundred forty-four 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 31269013321728 cubic inches would be around 2625.4 feet tall.

Recreational maths with 31269013321728

• 31269013321728 backwards is 82712331096213
• 31269013321728 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 31269013321728's digits is 48
• More coming soon!