32973968642048

Names of 32973968642048

• Cardinal: 32973968642048 can be written as Thirty-two trillion, nine hundred seventy-three billion, nine hundred sixty-eight million, six hundred forty-two thousand and forty-eight.

Scientific notation

• Scientific notation: 3.2973968642048 × 10¹³

Factors of 32973968642048

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 3953

Divisors of 32973968642048

• Number of divisors d(n): 624
• Complete list of divisors:
  1 2 4 7 8 14 16 19 28 31 32 38 49 56 62 64 73 76 98 112 124 128 133 146 152 196 217 224 248 256 266 292 304 392 434 448 496 511 512 532 584 589 608 784 868 896 931 992 1022 1024 1064 1168 1178 1216 1387 1519 1568 1736 1792 1862 1984 2044 2048 2128 2263 2336 2356 2432 2774 3038 3136 3472 3577 3584 3724 3821 3968 4088 4096 4123 4256 4526 4672 4712 4864 5548 6076 6272 6944 7154 7168 7448 7642 7936 8176 8246 8512 9052 9344 9424 9709 9728 11096 12152 12544 13888 14308 14336 14896 15284 15841 15872 16352 16492 17024 18104 18688 18848 19418 19456 22192 24304 25088 26747 27776 28616 28672 28861 29792 30568 31682 31744 32704 32984 34048 36208 37376 37696 38836 38912 42997 44384 48608 50176 53494 55552 57232 57722 59584 61136 63364 63488 65408 65968 67963 68096 72416 72599 74752 75392 77672 77824 85994 88768 97216 100352 106988 110887 111104 114464 115444 118451 119168 122272 126728 126976 130816 131936 135926 136192 144832 145198 149504 150784 155344 171988 177536 187229 194432 200704 213976 221774 222208 228928 230888 236902 238336 244544 253456 261632 263872 271852 272384 278933 289664 290396 299008 300979 301568 310688 343976 355072 374458 388864 427952 443548 444416 457856 461776 473804 476672 489088 506912 508193 523264 527744 543704 544768 557866 579328 580792 601958 603136 621376 687952 710144 748916 777728 829157 855904 887096 888832 915712 923552 947608 953344 978176 1013824 1016386 1046528 1055488 1087408 1115732 1158656 1161584 1203916 1206272 1242752 1375904 1420288 1497832 1555456 1658314 1711808 1774192 1831424 1847104 1895216 1906688 1952531 1956352 2027648 2032772 2093056 2106853 2110976 2174816 2231464 2250569 2317312 2323168 2407832 2412544 2485504 2751808 2840576 2995664 3110912 3316628 3423616 3548384 3557351 3662848 3694208 3790432 3813376 3905062 3912704 4055296 4065544 4213706 4221952 4349632 4462928 4501138 4634624 4646336 4815664 4971008 5299727 5503616 5681152 5804099 5991328 6221824 6633256 6847232 7096768 7114702 7325696 7388416 7580864 7810124 7825408 8110592 8131088 8427412 8443904 8646923 8699264 8925856 9002276 9269248 9292672 9631328 9942016 10599454 11007232 11608198 11982656 13266512 13667717 13694464 14193536 14229404 14651392 14776832 15161728 15620248 15650816 15753983 16221184 16262176 16854824 16887808 17293846 17398528 17851712 18004552 18585344 19262656 19884032 21198908 22014464 23216396 23965312 26533024 27335434 27388928 28387072 28458808 29553664 30323456 31240496 31507966 32442368 32524352 33709648 34587692 34797056 35703424 36009104 37098089 37170688 38525312 39768064 42397816 44028928 46432792 47930624 53066048 54670868 54777856 56774144 56917616 59107328 60528461 60646912 62480992 63015932 64884736 65048704 67419296 69175384 69594112 71406848 72018208 74196178 74341376 77050624 84795632 88057856 92865584 95861248 106132096 109341736 109555712 110277881 113548288 113835232 118214656 121056922 121293824 124961984 126031864 130097408 134838592 138350768 139188224 142813696 144036416 148392356 148682752 154101248 164291537 169591264 176115712 185731168 191722496 212264192 218683472 220555762 227096576 227670464 242113844 242587648 249923968 252063728 259686623 260194816 269677184 276701536 278376448 285627392 288072832 296784712 297365504 308202496 328583074 339182528 371462336 383444992 423699227 424528384 437366944 441111524 454193152 455340928 484227688 485175296 499847936 504127456 519373246 520389632 539354368 553403072 571254784 576145664 593569424 616404992 657166148 678365056 742924672 766889984 847398454 849056768 874733888 882223048 910681856 968455376 999695872 1008254912 1038746492 1040779264 1078708736 1106806144 1142509568 1150040759 1152291328 1187138848 1232809984 1314332296 1356730112 1485849344 1694796908 1698113536 1749467776 1764446096 1821363712 1936910752 1999391744 2016509824 2077492984 2081558528 2157417472 2213612288 2300081518 2304582656 2374277696 2628664592 2713460224 2971698688 3389593816 3396227072 3498935552 3528892192 3642727424 3873821504 3998783488 4033019648 4154985968 4314834944 4427224576 4600163036 4609165312 4748555392 5257329184 5426920448 5943397376 6779187632 6997871104 7057784384 7285454848 7747643008 7997566976 8050285313 8066039296 8309971936 8629669888 8854449152 9200326072 9218330624 9497110784 10514658368 10853840896 11886794752 13558375264 13995742208 14115568768 14570909696 15495286016 16100570626 16132078592 16619943872 17708898304 18400652144 18994221568 21029316736 21707681792 23773589504 27116750528 27991484416 28231137536 30990572032 32201141252 32264157184 33239887744 35417796608 36801304288 37988443136 42058633472 54233501056 55982968832 56462275072 61981144064 64402282504 64528314368 66479775488 73602608576 75976886272 84117266944 108467002112 112924550144 123962288128 128804565008 132959550976 147205217152 151953772544 168234533888 216934004224 225849100288 247924576256 257609130016 265919101952 294410434304 336469067776 433868008448 451698200576 515218260032 531838203904 588820868608 672938135552 867736016896 1030436520064 1063676407808 1177641737216 1735472033792 2060873040128 2355283474432 4121746080256 4710566948864 8243492160512 16486984321024 32973968642048
• Sum of all divisors σ(n): 84511178519040
• Sum of proper divisors (its aliquot sum) s(n): 51537209876992
• 32973968642048 is an abundant number, because the sum of its proper divisors (51537209876992) is greater than itself. Its abundance is 18563241234944

Bases of 32973968642048

• Binary: 111011111110101011001101100000001000000000000₂
• Hexadecimal: 0x1DFD59B01000
• Base-36: BOS15KEM8

Squares and roots of 32973968642048

• 32973968642048 squared (32973968642048²) is 1087282608006764825153634304
• 32973968642048 cubed (32973968642048³) is 35852022621459231033668875084038869614592
• The square root of 32973968642048 is 5742296.4606547441
• The cube root of 32973968642048 is 32066.9070940261

Scales and comparisons

• 32,973,968,642,048 seconds is equal to 1,048,470 years, 10 weeks, 5 days, 13 hours, 54 minutes, 8 seconds.
• To count from 1 to 32,973,968,642,048 would take you about two million, six hundred twenty-one thousand, one hundred seventy-five 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 32973968642048 cubic inches would be around 2672.2 feet tall.

Recreational maths with 32973968642048

• 32973968642048 backwards is 84024686937923
• The number of decimal digits it has is: 14
• The sum of 32973968642048's digits is 71
• More coming soon!