90121993111782009

Names of 90121993111782009

• Cardinal: 90121993111782009 can be written as Ninety quadrillion, one hundred twenty-one trillion, nine hundred ninety-three billion, one hundred eleven million, seven hundred eighty-two thousand and nine.

Scientific notation

• Scientific notation: 9.0121993111782009 × 10¹⁶

Factors of 90121993111782009

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 1812

Divisors of 90121993111782009

• Number of divisors d(n): 405
• Complete list of divisors:
  1 3 7 9 21 27 43 49 63 81 129 147 189 243 301 343 387 441 567 729 903 1029 1161 1323 1701 1759 1849 2107 2187 2401 2709 3087 3483 3969 5103 5277 5547 6321 6561 7203 8127 9261 10449 11907 12313 12943 14749 15309 15831 16641 18963 21609 24381 27783 31347 35721 36939 38829 44247 45927 47493 49923 56889 64827 73143 75637 83349 86191 90601 94041 103243 107163 110817 116487 132741 142479 149769 170667 194481 219429 226911 250047 258573 271803 282123 309729 321489 332451 349461 398223 427437 449307 512001 529459 583443 603337 634207 658287 680733 750141 775719 815409 929187 997353 1048383 1194669 1282311 1347921 1536003 1588377 1750329 1810011 1902621 1974861 2042199 2250423 2327157 2446227 2787561 2992059 3094081 3145149 3252391 3584007 3706213 3846933 4043763 4223359 4439449 4608009 4765131 5250987 5430033 5707863 6126597 6981471 7338681 8362683 8976177 9282243 9435447 9757173 10752021 11118639 11540799 12131289 12670077 13318347 13824027 14295393 15752961 16290099 17123589 18379791 20944413 21658567 22016043 22766737 25088049 25943491 26928531 27846729 28306341 29271519 32256063 33355917 38010231 39955041 42886179 48870297 51370767 55139373 62833239 64975701 66048129 68300211 75264147 77830473 80785593 83540187 84919023 87814557 96768189 100067751 114030693 119865123 128658537 133045483 146610891 151609969 154112301 159367159 165418119 181604437 188499717 194927103 198144387 204900633 225792441 233491419 250620561 263443671 300203253 342092079 359595369 385975611 399136449 439832673 454829907 462336903 478101477 496254357 544813311 565499151 584781309 594433161 614701899 677377323 700474257 751861683 790331013 900609759 931318381 1026276237 1061269783 1078786107 1115570113 1157926833 1197409347 1319498019 1364489721 1387010709 1434304431 1634439933 1754343927 1844105697 2101422771 2255585049 2370993039 2701829277 2793955143 3078828711 3183809349 3236358321 3346710339 3473780499 3592228041 3958494057 4093469163 4161032127 4302913293 4903319799 5263031781 5532317091 5720955769 6304268313 6519228667 6766755147 7112979117 7428888481 7808990791 8105487831 8381865429 9236486133 9551428047 9709074963 10040131017 10776684123 12280407489 12908739879 14709959397 15789095343 16596951273 17162867307 18912804939 19557686001 20300265441 21338937351 22286665443 23426972373 24316463493 25145596287 27709458399 28654284141 29127224889 30120393051 32330052369 36841222467 38726219637 40046690383 44129878191 45634600669 47367286029 49790853819 51488601921 56738414817 58673058003 66859996329 70280917119 75436788861 85962852423 90361179153 96990157107 110523667401 116178658911 120140071149 132389634573 136903802007 142101858087 149372561457 154465805763 170215244451 176019174009 200579988987 210842751357 226310366583 257888557269 271083537459 280326832681 290970471321 319442204683 331571002203 348535976733 360420213447 397168903719 410711406021 463397417289 528057522027 601739966961 632528254071 678931099749 773665671807 813250612377 840980498043 872911413963 958326614049 994713006609 1045607930199 1081260640341 1191506711157 1232134218063 1390192251867 1584172566081 1805219900883 1897584762213 1962287828767 2036793299247 2320997015421 2439751837131 2522941494129 2874979842147 3243781921023 3696402654189 4170576755601 4752517698243 5415659702649 5692754286639 5886863486301 6110379897741 6962991046263 7319255511393 7568824482387 8624939526441 9731345763069 11089207962567 12511730266803 13736014801369 14257553094729 16246979107947 17078262859917 17660590458903 22706473447161 25874818579323 29194037289207 33267623887701 37535190800409 41208044404107 42772659284187 48740937323841 51234788579751 52981771376709 68119420341483 77624455737969 87582111867621 99802871663103 123624133212321 158945314130127 204358261024449 232873367213907 262746335602863 299408614989309 370872399636963 476835942390381 613074783073347 698620101641721 1112617198910889 1430507827171143 1839224349220041 2095860304925163 3337851596732667 4291523481513429 10013554790198001 12874570444540287 30040664370594003 90121993111782009
• Sum of all divisors σ(n): 161540566720047333
• Sum of proper divisors (its aliquot sum) s(n): 71418573608265324
• 90121993111782009 is a deficient number, because the sum of its proper divisors (71418573608265324) is less than itself. Its deficiency is 18703419503516685

Bases of 90121993111782009

• Binary: 101000000001011010111100110101001111000001100001001111001₂
• Hexadecimal: 0x1402D79A9E0C279
• Base-36: ONDKW2XUIK9

Squares and roots of 90121993111782009

• 90121993111782009 squared (90121993111782009²) is 8121973642440083877743091536076081
• 90121993111782009 cubed (90121993111782009³) is 731968452658060272946375989195240977122913311026729
• 90121993111782009 is a perfect square number. Its square root is 300203253
• The cube root of 90121993111782009 is 448342.8649084353

Scales and comparisons

• 90,121,993,111,782,009 seconds is equal to 2,865,600,615 years, 16 weeks, 6 days, 23 hours, 9 seconds.
• To count from 1 to 90,121,993,111,782,009 would take you about eight billion, five hundred ninety-six million, eight hundred one thousand, eight hundred forty-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 90121993111782009 cubic inches would be around 37361.9 feet tall.

Recreational maths with 90121993111782009

• 90121993111782009 backwards is 90028711139912109
• 90121993111782009 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 90121993111782009's digits is 63
• More coming soon!