90368220149025

Names of 90368220149025

• Cardinal: 90368220149025 can be written as Ninety trillion, three hundred sixty-eight billion, two hundred twenty million, one hundred forty-nine thousand and twenty-five.

Scientific notation

• Scientific notation: 9.0368220149025 × 10¹³

Factors of 90368220149025

• Number of distinct prime factors ω(n): 9
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 1477

Divisors of 90368220149025

• Number of divisors d(n): 768
• Complete list of divisors:
  1 3 5 7 13 15 17 21 25 31 35 39 51 65 75 85 91 93 105 119 127 155 175 181 195 217 221 255 273 325 357 381 403 425 455 465 525 527 543 595 635 651 663 775 889 905 975 1085 1093 1105 1209 1267 1275 1365 1547 1581 1651 1785 1905 2015 2159 2275 2325 2353 2635 2667 2715 2821 2975 3077 3175 3255 3279 3315 3689 3801 3937 4445 4525 4641 4953 5425 5465 5525 5611 6045 6335 6477 6825 6851 7059 7651 7735 7905 8255 8463 8925 9231 9525 10075 10795 11067 11557 11765 11811 13175 13335 13575 14105 14209 15113 15385 16275 16395 16471 16575 16833 18445 18581 19005 19685 20553 21539 22225 22953 22987 23205 24765 27325 27559 28055 28067 30225 31675 32385 33883 34255 34671 35295 38255 38675 39277 39525 40001 41275 42315 42627 45339 46155 47957 49413 51181 53975 55335 55743 57785 58825 59055 64617 66675 66929 68961 70525 71045 72943 75565 76925 81975 82355 82677 84165 84201 92225 92905 95025 95387 98425 99463 101649 102765 107695 114765 114935 116025 117831 120003 123825 130067 137795 138811 140275 140335 143871 153543 160909 161925 169415 171275 173355 176475 191275 196385 196469 197833 200005 200787 211575 213135 218829 226695 230775 237181 239785 241553 247065 255905 276675 278715 280007 286161 288925 295275 298389 298831 323085 334645 344805 355225 358267 364715 377825 390201 390779 411775 413385 416433 420825 421005 440479 464525 468503 476935 482727 497315 508245 510601 513825 538475 573825 574675 576011 589155 589407 593499 600015 650335 667709 688975 694055 701675 711543 712597 719355 724659 767715 804545 840021 847075 866775 870077 896493 971677 981925 982345 989165 1000025 1003935 1065675 1074801 1094145 1133475 1172337 1185905 1198925 1207765 1235325 1240031 1279525 1321437 1384831 1393575 1400035 1405509 1430805 1491945 1494155 1531803 1615425 1673225 1690871 1724025 1728033 1791335 1804543 1823575 1951005 1953895 2003127 2066925 2082165 2091817 2105025 2137791 2202395 2342515 2359787 2384675 2413635 2486575 2541225 2553005 2571829 2610231 2735453 2880055 2915031 2945775 2947035 2967495 3000075 3083353 3251675 3338545 3363161 3470275 3557715 3562985 3596775 3623295 3720093 3838575 4022725 4032077 4154493 4200105 4303141 4350385 4482465 4858385 4911725 4945825 4988179 5019675 5072613 5080127 5374005 5413629 5470725 5861685 5929525 6038825 6090539 6132823 6200155 6275451 6607185 6924155 7000175 7027545 7079361 7154025 7459725 7470775 7488143 7659015 7715487 8206359 8454355 8640165 8680217 8956675 9022715 9250059 9263761 9755025 9769475 10015635 10089483 10410825 10459085 10688955 11011975 11712575 11798935 12068175 12096231 12114149 12631801 12765025 12859145 12909423 13051155 13677265 14400275 14575155 14735175 14837475 14964537 15240381 15416765 16518509 16692725 16815805 17788575 17814925 18002803 18116475 18271617 18398469 18600465 20160385 20772465 21000525 21515705 21751925 22412325 22464429 23542127 24291925 24940895 25124791 25363065 25400635 26040651 26870025 27068145 27791283 29308425 30121987 30452695 30664115 30677231 31000775 31377255 33035925 34620775 35137725 35396805 35560889 36342447 37440715 37895403 38295075 38577435 41031795 42271775 42929761 43200825 43401085 43721093 45113575 46250295 46318805 49555527 50078175 50447415 52295425 52417001 53444775 54008409 55940833 58994675 60481155 60570745 63159005 64295725 64547115 64846327 65255775 68386325 70626381 72875775 73153397 74822685 75374373 76201905 77083825 79726699 82592545 84079025 84799043 90014015 90365961 91358085 91992345 92031693 93002325 100801925 103862325 104257991 106682667 107578525 112322145 117710635 124704475 125623955 126815325 127003175 128789283 130203255 131163279 135340725 138956415 150609935 152263475 153320575 153386155 156886275 157251003 157483937 167822499 175873537 176984025 177804445 181712235 187203575 189477015 192887175 194538981 205158975 214648805 214740617 217005425 218605465 219460191 231251475 231594025 239180097 247777635 252237075 254397129 262085005 270042045 279704165 302405775 302853725 306047651 312773973 315795025 322735575 324231635 326622283 353131905 365766985 374113425 376871865 381009525 391585831 398633495 412962725 423995215 427121447 450070075 451829805 456790425 459961725 460158465 472451811 512073779 521289955 527620611 533413335 558086893 561610725 588553175 628119775 643946415 644221851 651016275 655816395 694782075 729805937 753049675 766930775 778868521 786255015 787419685 839112495 879367685 889022225 908561175 918142953 947385075 950994161 972694905 979866849 1073244025 1073703085 1093027325 1097300955 1102387559 1174757493 1195900485 1238888175 1271985645 1281364341 1310425025 1350210225 1355353883 1398520825 1530238255 1536221337 1563869865 1621158175 1633111415 1674260679 1765659525 1828834925 1884359325 1957929155 1993167475 2119976075 2135607235 2189417811 2259149025 2286355981 2300792325 2336605563 2362259055 2560368895 2606449775 2638103055 2667066675 2790434465 2852982483 2989850129 3219732075 3221109255 3279081975 3307162677 3649029685 3894342605 3931275075 3937098425 4066061649 4195562475 4396838425 4590714765 4754970805 4863474525 4899334245 5368515425 5452079647 5486504775 5511937795 5552578811 5873787465 5979502425 6359928225 6406821705 6656959127 6776769415 6859067943 7651191275 7681106685 7819349325 8165557075 8371303395 8969550387 9487477181 9789645775 10125290773 10678036175 10947089055 11431779905 11683027815 11811295275 12801844475 13190515275 13240764857 13952172325 14264912415 14949250645 16105546275 16356238941 16535813385 16657736433 18245148425 19471713025 19970877381 20330308245 22953573825 23774854025 24496671225 27260398235 27559688975 27762894055 28462431543 29368937325 30375872319 32034108525 33284795635 33883847075 34295339715 38405533425 38868051677 39722294571 41856516975 44847751935 47437385905 50626453865 54735445275 57158899525 58415139075 66203824285 70877035411 71324562075 74746253225 81781194705 82679066925 83288682165 92685353999 99854386905 101651541225 116604155031 136301991175 138814470275 142312157715 151879361595 166423978175 171476698575 172129943141 194340258385 198611472855 212631106233 224238759675 237186929525 253132269325 278056061997 331019121425 354385177055 408905973525 416443410825 463426769995 499271934525 516389829423 583020775155 711560788575 759396807975 860649715705 971701291925 993057364275 1063155531165 1204909601987 1390280309985 1771925885275 2317133849975 2581949147115 2915103875775 3614728805961 4303248578525 5315777655825 6024548009935 6951401549925 12909745735575 18073644029805 30122740049675 90368220149025
• Sum of all divisors σ(n): 203873543258112
• Sum of proper divisors (its aliquot sum) s(n): 113505323109087
• 90368220149025 is an abundant number, because the sum of its proper divisors (113505323109087) is greater than itself. Its abundance is 23137102960062

Bases of 90368220149025

• Binary: 10100100011000001111101101010010011010100100001₂
• Hexadecimal: 0x52307DA93521
• Base-36: W16L51DSX

Squares and roots of 90368220149025

• 90368220149025 squared (90368220149025²) is 8166415212902647993208450625
• 90368220149025 cubed (90368220149025³) is 737984407787933359535636889127026854390625
• The square root of 90368220149025 is 9506220.0768246997
• The cube root of 90368220149025 is 44875.0807320485

Scales and comparisons

• 90,368,220,149,025 seconds is equal to 2,873,429 years, 45 weeks, 2 days, 22 hours, 43 minutes, 45 seconds.
• To count from 1 to 90,368,220,149,025 would take you about seven million, one hundred eighty-three thousand, five hundred seventy-four 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 90368220149025 cubic inches would be around 3739.6 feet tall.

Recreational maths with 90368220149025

• 90368220149025 backwards is 52094102286309
• 90368220149025 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 90368220149025's digits is 51
• More coming soon!