13228220177874768

Names of 13228220177874768

• Cardinal: 13228220177874768 can be written as Thirteen quadrillion, two hundred twenty-eight trillion, two hundred twenty billion, one hundred seventy-seven million, eight hundred seventy-four thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.3228220177874768 × 10¹⁶

Factors of 13228220177874768

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1054

Divisors of 13228220177874768

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 116 132 174 176 232 264 319 348 464 528 638 696 841 957 1009 1276 1392 1682 1914 2018 2523 2552 3027 3364 3828 4036 5046 5104 6054 6728 7656 8072 9251 10092 11099 12108 13456 15312 16144 18502 20184 22198 24216 24389 27753 29261 33297 37004 40368 44396 48432 48778 55506 58522 66594 73167 74008 87783 88792 97556 111012 117044 133188 146334 148016 175566 177584 195112 222024 234088 266376 268279 292668 321871 351132 390224 444048 468176 532752 536558 585336 643742 702264 804837 848569 965613 1018081 1073116 1170672 1287484 1404528 1609674 1697138 1931226 2036162 2146232 2545707 2574968 3054243 3219348 3394276 3862452 4072324 4292464 5091414 5149936 6108486 6438696 6788552 7724904 8144648 9334259 10182828 11198891 12216972 12877392 13577104 15449808 16289296 18668518 20365656 22397782 24433944 24608501 28002777 29524349 33596673 37337036 40731312 44795564 48867888 49217002 56005554 59048698 67193346 73825503 74674072 88573047 89591128 98434004 112011108 118097396 134386692 147651006 149348144 177146094 179182256 196868008 224022216 236194792 268773384 270693511 295302012 324767839 354292188 393736016 448044432 472389584 537546768 541387022 590604024 649535678 708584376 812080533 856206121 974303517 1027243729 1082774044 1181208048 1299071356 1417168752 1624161066 1712412242 1948607034 2054487458 2165548088 2568618363 2598142712 3081731187 3248322132 3424824484 3897214068 4108974916 4331096176 5137236726 5196285424 6163462374 6496644264 6849648968 7794428136 8217949832 9418267331 10274473452 11299681019 12326924748 12993288528 13699297936 15588856272 16435899664 18836534662 20548946904 22599362038 24653849496 24829977509 28254801993 29790068141 33899043057 37673069324 41097893808 45198724076 49307698992 49659955018 56509603986 59580136282 67798086114 74489932527 75346138648 89370204423 90397448152 99319910036 113019207972 119160272564 135596172228 148979865054 150692277296 178740408846 180794896304 198639820072 226038415944 238320545128 271192344456 273129752599 297959730108 327690749551 357480817692 397279640144 452076831888 476641090256 542384688912 546259505198 595919460216 655381499102 714961635384 819389257797 863911976089 983072248653 1092519010396 1191838920432 1310762998204 1429923270768 1638778515594 1727823952178 1966144497306 2185038020792 2591735928267 2621525996408 3277557031188 3455647904356 3932288994612 4370076041584 5183471856534 5243051992816 6555114062376 6911295808712 7864577989224 9503031736979 10366943713068 13110228124752 13822591617424 15729155978448 19006063473958 20733887426136 25053447306581 28509095210937 38012126947916 41467774852272 50106894613162 57018190421874 75160341919743 76024253895832 100213789226324 114036380843748 150320683839486 152048507791664 200427578452648 228072761687496 275587920372391 300641367678972 400855156905296 456145523374992 551175840744782 601282735357944 826763761117173 1102351681489564 1202565470715888 1653527522234346 2204703362979128 3307055044468692 4409406725958256 6614110088937384 13228220177874768
• Sum of all divisors σ(n): 38649191223801600
• Sum of proper divisors (its aliquot sum) s(n): 25420971045926832
• 13228220177874768 is an abundant number, because the sum of its proper divisors (25420971045926832) is greater than itself. Its abundance is 12192750868052064

Bases of 13228220177874768

• Binary: 101110111111101111111100000100101101100111111101010000₂
• Hexadecimal: 0x2EFEFF04B67F50
• Base-36: 3M90GGFDS9C

Squares and roots of 13228220177874768

• 13228220177874768 squared (13228220177874768²) is 174985809074333158745353091053824
• 13228220177874768 cubed (13228220177874768³) is 2314750810438835569567760032676867862561819512832
• The square root of 13228220177874768 is 115013999.9212042359
• The cube root of 13228220177874768 is 236501.4484868519

Scales and comparisons

• 13,228,220,177,874,768 seconds is equal to 420,616,484 years, 4 weeks, 2 days, 21 hours, 12 minutes, 48 seconds.
• To count from 1 to 13,228,220,177,874,768 would take you about one billion, two hundred sixty-one million, eight hundred forty-nine thousand, four hundred fifty-two 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 13228220177874768 cubic inches would be around 19708.5 feet tall.

Recreational maths with 13228220177874768

• 13228220177874768 backwards is 86747877102282231
• The number of decimal digits it has is: 17
• The sum of 13228220177874768's digits is 75
• More coming soon!