221152404392009728

Names of 221152404392009728

• Cardinal: 221152404392009728 can be written as Two hundred twenty-one quadrillion, one hundred fifty-two trillion, four hundred four billion, three hundred ninety-two million, nine thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 2.21152404392009728 × 10¹⁷

Factors of 221152404392009728

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 24
• Sum of prime factors: 120

Divisors of 221152404392009728

• Number of divisors d(n): 420
• Complete list of divisors:
  1 2 4 8 11 16 22 32 44 64 88 107 121 128 176 214 242 256 352 428 484 512 704 856 968 1024 1177 1331 1408 1712 1936 2048 2354 2662 2816 3424 3872 4096 4708 5324 5632 6848 7744 8192 9416 10648 11264 11449 12947 13696 14641 15488 18832 21296 22528 22898 25894 27392 29282 30976 37664 42592 45056 45796 51788 54784 58564 61952 75328 85184 90112 91592 103576 109568 117128 123904 125939 142417 150656 161051 170368 183184 207152 219136 234256 247808 251878 284834 301312 322102 340736 366368 414304 438272 468512 495616 503756 569668 602624 644204 681472 732736 828608 876544 937024 991232 1007512 1139336 1205248 1288408 1362944 1385329 1465472 1566587 1657216 1771561 1874048 2015024 2278672 2410496 2576816 2725888 2770658 2930944 3133174 3314432 3543122 3748096 4030048 4557344 4820992 5153632 5451776 5541316 5861888 6266348 6628864 7086244 7496192 8060096 9114688 9641984 10307264 10903552 11082632 11723776 12532696 13257728 14172488 14992384 15238619 16120192 17232457 18229376 19487171 20614528 22165264 23447552 25065392 26515456 28344976 29984768 30477238 32240384 34464914 36458752 38974342 41229056 44330528 46895104 50130784 53030912 56689952 59969536 60954476 64480768 68929828 72917504 77948684 82458112 88661056 93790208 100261568 106061824 113379904 119939072 121908952 128961536 137859656 145835008 155897368 164916224 167624809 177322112 189557027 200523136 214358881 226759808 243817904 257923072 275719312 291670016 311794736 329832448 335249618 354644224 379114054 401046272 428717762 453519616 487635808 515846144 551438624 583340032 623589472 659664896 670499236 709288448 758228108 802092544 857435524 907039232 975271616 1031692288 1102877248 1166680064 1247178944 1319329792 1340998472 1418576896 1516456216 1604185088 1714871048 1814078464 1843872899 1950543232 2085127297 2205754496 2357947691 2494357888 2681996944 2837153792 3032912432 3208370176 3429742096 3628156928 3687745798 3901086464 4170254594 4411508992 4715895382 4988715776 5363993888 5674307584 6065824864 6416740352 6859484192 7256313856 7375491596 7802172928 8340509188 8823017984 9431790764 9977431552 10727987776 11348615168 12131649728 12833480704 13718968384 14512627712 14750983192 15604345856 16681018376 17646035968 18863581528 19954863104 20282601889 21455975552 22936400267 24263299456 27437936768 29501966384 31208691712 33362036752 35292071936 37727163056 39909726208 40565203778 42911951104 45872800534 48526598912 54875873536 59003932768 62417383424 66724073504 70584143872 75454326112 79819452416 81130407556 85823902208 91745601068 97053197824 109751747072 118007865536 124834766848 133448147008 141168287744 150908652224 159638904832 162260815112 171647804416 183491202136 194106395648 219503494144 223108620779 236015731072 252300402937 266896294016 301817304448 324521630224 343295608832 366982404272 388212791296 439006988288 446217241558 472031462144 504600805874 533792588032 603634608896 649043260448 686591217664 733964808544 776425582592 878013976576 892434483116 944062924288 1009201611748 1067585176064 1207269217792 1298086520896 1373182435328 1467929617088 1552851165184 1756027953152 1784868966232 1888125848576 2018403223496 2135170352128 2414538435584 2454194828569 2596173041792 2935859234176 3569737932464 3776251697152 4036806446992 4270340704256 4829076871168 4908389657138 5192346083584 5871718468352 7139475864928 7552503394304 8073612893984 8540681408512 9658153742336 9816779314276 10384692167168 11743436936704 14278951729856 15105006788608 16147225787968 17081362817024 19316307484672 19633558628552 20769384334336 23486873873408 26996143114259 28557903459712 32294451575936 39267117257104 41538768668672 46973747746816 53992286228518 57115806919424 64588903151872 78534234514208 83077537337344 93947495493632 107984572457036 114231613838848 129177806303744 157068469028416 166155074674688 187894990987264 215969144914072 228463227677696 258355612607488 314136938056832 431938289828144 456926455355392 516711225214976 628273876113664 863876579656288 913852910710784 1033422450429952 1256547752227328 1727753159312576 1827705821421568 2066844900859904 2513095504454656 3455506318625152 5026191008909312 6911012637250304 10052382017818624 13822025274500608 20104764035637248 27644050549001216 55288101098002432 110576202196004864 221152404392009728
• Sum of all divisors σ(n): 491094868420234260
• Sum of proper divisors (its aliquot sum) s(n): 269942464028224532
• 221152404392009728 is an abundant number, because the sum of its proper divisors (269942464028224532) is greater than itself. Its abundance is 48790059636214804

Bases of 221152404392009728

• Binary: 1100010001101100001111000010101001000000100110000000000000₂
• Hexadecimal: 0x311B0F0A9026000
• Base-36: 1OHJZG114POG

Squares and roots of 221152404392009728

• 221152404392009728 squared (221152404392009728²) is 48908385968367003630843850846633984
• 221152404392009728 cubed (221152404392009728³) is 10816207151836793887616411860852651250559093783396352
• The square root of 221152404392009728 is 470268438.6518084503
• The cube root of 221152404392009728 is 604733.3063025245

Scales and comparisons

• 221,152,404,392,009,728 seconds is equal to 7,031,962,390 years, 18 weeks, 6 days, 16 hours, 55 minutes, 28 seconds.
• To count from 1 to 221,152,404,392,009,728 would take you about twenty-one billion, ninety-five million, eight hundred eighty-seven thousand, one hundred seventy-one 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 221152404392009728 cubic inches would be around 50394.4 feet tall.

Recreational maths with 221152404392009728

• 221152404392009728 backwards is 827900293404251122
• The number of decimal digits it has is: 18
• The sum of 221152404392009728's digits is 61
• More coming soon!