34438793039645632

Names of 34438793039645632

• Cardinal: 34438793039645632 can be written as Thirty-four quadrillion, four hundred thirty-eight trillion, seven hundred ninety-three billion, thirty-nine million, six hundred forty-five thousand, six hundred thirty-two.

Scientific notation

• Scientific notation: 3.4438793039645632 × 10¹⁶

Factors of 34438793039645632

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 77477

Divisors of 34438793039645632

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 4 8 11 16 22 32 44 64 88 113 121 176 181 226 242 257 352 362 452 484 514 704 724 904 968 1028 1243 1331 1448 1808 1936 1991 2056 2486 2662 2827 2896 3616 3872 3982 4112 4972 5324 5654 5792 7232 7744 7964 8224 9944 10648 11308 11584 13673 15928 16448 19888 20453 21296 21901 22616 27346 29041 31097 31856 39776 40906 42592 43802 45232 46517 54692 58082 62194 63712 76913 79552 81812 85184 87604 90464 93034 109384 116164 124388 127424 150403 153826 163624 175208 180928 186068 218768 224983 232328 240911 248776 300806 307652 319451 327248 342067 350416 372136 437536 449966 464656 481822 497552 511687 601612 615304 638902 654496 684134 700832 744272 846043 875072 899932 929312 963644 995104 1023374 1203224 1230608 1277804 1308992 1368268 1401664 1488544 1692086 1799864 1858624 1927288 1990208 2046748 2406448 2461216 2474813 2555608 2736536 2977088 3384172 3513961 3599728 3854576 4093496 4812896 4922432 4949626 5111216 5256421 5473072 5628557 6768344 7027922 7199456 7709152 8186992 8691169 9306473 9625792 9899252 10222432 10512842 10946144 11257114 13536688 13921253 14055844 14398912 15418304 16373984 17382338 18612946 19766641 19798504 20444864 21025684 21892288 22514228 27073376 27222943 27842506 28111688 32747968 34764676 37225892 38653571 39533282 39597008 42051368 45028456 54146752 54445886 55685012 56223376 57820631 61914127 69529352 74451784 77307142 79066564 79194016 84102736 90056912 95602859 102371203 108891772 111370024 112446752 115641262 123828254 139058704 148903568 153133783 154614284 158133128 158388032 168205472 180113824 191205718 204742406 217433051 217783544 222740048 224893504 231282524 247656508 278117408 297807136 306267566 309228568 316266256 336410944 360227648 382411436 409484812 434866102 435567088 445480096 462565048 495313016 556234816 595614272 612535132 618457136 632532512 636026941 764822872 818969624 869732204 871134176 890960192 925130096 990626032 1051631449 1225070264 1236914272 1265065024 1272053882 1529645744 1573101589 1637939248 1684471613 1739464408 1742268352 1850260192 1981252064 2103262898 2233630433 2391763561 2450140528 2473828544 2544107764 3059291488 3146203178 3275878496 3368943226 3478928816 3577762021 3700520384 3962504128 4206525796 4467260866 4783527122 4900281056 5088215528 6118582976 6292406356 6551756992 6737886452 6957857632 6996296351 7155524042 8413051592 8934521732 9567054244 9800562112 10176431056 11567945939 12584812712 13475772904 13915715264 13992592702 14311048084 16826103184 17304117479 17869043464 18529187743 19134108488 20352862112 23135891878 24569934763 25169625424 26309399171 26951545808 27985185404 28622096168 33652206368 34608234958 35738086928 37058375486 38268216976 39355382231 40705724224 46271783756 49139869526 50339250848 52618798342 53903091616 55970370808 57244192336 67304412736 69216469916 71476173856 74116750972 76536433952 78710764462 92543567512 98279739052 100678501696 105237596684 107806183232 111940741616 114488384672 138432939832 142952347712 148233501944 153072867904 157421528924 185087135024 190345292269 196559478104 210475193368 223881483232 228976769344 270269282393 276865879664 296467003888 314843057848 370174270048 380690584538 393118956208 404287108373 420950386736 432909204541 447762966464 540538564786 553731759328 592934007776 629686115696 740348540096 761381169076 786237912416 808574216746 841900773472 865818409082 1081077129572 1107463518656 1185868015552 1259372231392 1522762338152 1572475824832 1617148433492 1683801546944 1731636818164 2093798214959 2162154259144 2518744462784 2972962106323 3045524676304 3234296866984 3463273636328 4187596429918 4324308518288 4447158192103 4762001249951 5945924212646 6091049352608 6468593733968 6926547272656 8375192859836 8648617036576 8894316384206 9524002499902 11891848425292 12182098705216 12937187467936 13853094545312 16750385719672 17297234073152 17788632768412 19048004999804 23783696850584 25874374935872 27706189090624 33500771439344 35577265536824 38096009999608 47567393701168 48918740113133 67001542878688 71154531073648 76192019999216 95134787402336 97837480226266 134003085757376 142309062147296 152384039998432 190269574804672 195674960452532 284618124294592 304768079996864 391349920905064 538106141244463 782699841810128 1076212282488926 1565399683620256 2152424564977852 3130799367240512 4304849129955704 8609698259911408 17219396519822816 34438793039645632
• Sum of all divisors σ(n): 76550166718316928
• Sum of proper divisors (its aliquot sum) s(n): 42111373678671296
• 34438793039645632 is an abundant number, because the sum of its proper divisors (42111373678671296) is greater than itself. Its abundance is 7672580639025664

Bases of 34438793039645632

• Binary: 1111010010110011110011001011001100111110000101111000000₂
• Hexadecimal: 0x7A59E6599F0BC0
• Base-36: 9F3J740IOCG

Squares and roots of 34438793039645632

• 34438793039645632 squared (34438793039645632²) is 1186030466027544429176128136679424
• 34438793039645632 cubed (34438793039645632³) is 40845457758237062291616365743345229786870145875968
• The square root of 34438793039645632 is 185576919.4691129471
• The cube root of 34438793039645632 is 325348.8736164195

Scales and comparisons

• 34,438,793,039,645,632 seconds is equal to 1,095,047,092 years, 24 weeks, 6 days, 13 hours, 33 minutes, 52 seconds.
• To count from 1 to 34,438,793,039,645,632 would take you about three billion, two hundred eighty-five million, one hundred forty-one thousand, two 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 34438793039645632 cubic inches would be around 27112.4 feet tall.

Recreational maths with 34438793039645632

• 34438793039645632 backwards is 23654693039783443
• The number of decimal digits it has is: 17
• The sum of 34438793039645632's digits is 79
• More coming soon!