90164047978125

Names of 90164047978125

• Cardinal: 90164047978125 can be written as Ninety trillion, one hundred sixty-four billion, forty-seven million, nine hundred seventy-eight thousand, one hundred twenty-five.

Scientific notation

• Scientific notation: 9.0164047978125 × 10¹³

Factors of 90164047978125

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 122

Divisors of 90164047978125

• Number of divisors d(n): 768
• Complete list of divisors:
  1 3 5 9 11 15 17 19 25 27 33 45 51 55 57 67 75 85 95 99 125 135 153 165 171 187 201 209 225 255 275 285 297 323 335 375 425 459 475 495 513 561 603 625 627 675 737 765 825 855 935 969 1005 1045 1125 1139 1273 1275 1375 1425 1485 1615 1675 1683 1809 1875 1881 2125 2211 2295 2375 2475 2565 2805 2907 3015 3125 3135 3375 3417 3553 3685 3819 3825 4125 4275 4489 4675 4845 5025 5049 5225 5625 5643 5695 6365 6375 6633 6875 7125 7425 8075 8375 8415 8721 9045 9375 9405 10251 10625 10659 11055 11457 11475 11875 12375 12529 12825 13467 14003 14025 14535 15075 15675 16875 17085 17765 18425 19095 19125 19899 20625 21375 21641 22445 23375 24225 25125 25245 26125 28125 28215 28475 30753 31825 31875 31977 33165 34371 34375 35625 37125 37587 40375 40401 41875 42009 42075 43605 45225 47025 49379 51255 53125 53295 55275 57285 57375 59375 61875 62645 64125 64923 67335 70015 70125 72675 75375 76313 78375 84375 85291 85425 88825 92125 95475 95625 95931 99495 103125 106875 108205 112225 112761 116875 121125 121203 125625 126027 126225 130625 141075 142375 148137 153765 159125 159375 159885 165825 171855 178125 185625 187935 194769 201875 202005 209375 210045 210375 218025 226125 228939 235125 238051 246895 255873 256275 266475 276375 286425 286875 300763 309375 313225 320625 324615 336675 338283 350075 350625 363375 376875 378081 381565 391875 426455 427125 444125 444411 460625 477375 478125 479655 497475 534375 541025 561125 563805 584307 584375 605625 606015 628125 630135 631125 653125 686817 705375 711875 714153 740685 767619 768825 795625 799425 829125 839443 859275 902289 928125 938201 939675 973845 1009375 1010025 1050225 1051875 1090125 1130625 1144695 1175625 1190255 1234475 1279365 1281375 1332375 1333233 1381875 1432125 1434375 1449947 1503815 1566125 1603125 1623075 1683375 1691415 1750375 1753125 1816875 1884375 1890405 1907825 1959375 2060451 2132275 2135625 2142459 2220625 2222055 2302857 2303125 2386875 2398275 2487375 2518329 2705125 2706867 2805625 2814603 2819025 2921535 3028125 3030075 3150675 3155625 3308393 3434085 3526875 3559375 3570765 3703425 3838095 3844125 3978125 3997125 4145625 4197215 4296375 4349841 4511445 4691005 4698375 4869225 5050125 5112971 5251125 5259375 5450625 5653125 5714497 5723475 5878125 5951275 6172375 6396825 6406875 6427377 6661875 6666165 6909375 7160625 7249735 7519075 7554987 7830625 8115375 8120601 8416875 8443809 8457075 8751875 9084375 9452025 9539125 9925179 10302255 10661375 10678125 10712295 11103125 11110275 11514285 11934375 11991375 12436875 12591645 13049523 13525625 13534335 14028125 14073015 14095125 14607675 15150375 15338913 15753375 15778125 15949417 16541965 17143491 17170425 17634375 17853825 18517125 19190475 19220625 19985625 20728125 20986075 21481875 21749205 22557225 22664961 23455025 23491875 24346125 25250625 25331427 25564855 26255625 27253125 28572485 28617375 29756375 29775537 30861875 31984125 32034375 32136885 33309375 33330825 35803125 36248675 37595375 37774935 39148569 39153125 40576875 40603005 42084375 42219045 42285375 43759375 46016739 47260125 47695625 47848251 49625895 51430473 51511275 53306875 53561475 55551375 56242681 57571425 59956875 62184375 62859467 62958225 65247615 67628125 67671675 70365075 70475625 73038375 75751875 76694565 78766875 79747085 82709825 85717455 85852125 89269125 89326611 92585625 95952375 96103125 97146449 99928125 104930375 107409375 108746025 112786125 113324805 117275125 117459375 121730625 126253125 126657135 127824275 131278125 138050217 142862425 143086875 143544753 148781875 148877685 154291419 154309375 159920625 160684425 166654125 168728043 181243375 187976875 188578401 188874675 195742845 202884375 203015025 211095225 211426875 230083695 236300625 238478125 239241255 248129475 257152365 257556375 266534375 267807375 277756875 281213405 287857125 291439347 299784375 314297335 314791125 326238075 338358375 351825375 352378125 365191875 378759375 383472825 393834375 398735425 413549125 428587275 429260625 430634259 446345625 446633055 462928125 479761875 485732245 506184129 524651875 543730125 563930625 565735203 566624025 586375625 608653125 633285675 639121375 690251085 714312125 715434375 717723765 743909375 744388425 771457095 799603125 803422125 833270625 843640215 874318041 906216875 939884375 942892005 944373375 978714225 1015075125 1055476125 1057134375 1068610939 1150418475 1181503125 1196206275 1240647375 1285761825 1287781875 1339036875 1388784375 1406067025 1439285625 1457196735 1518552387 1571486675 1573955625 1631190375 1691791875 1697205609 1759126875 1825959375 1917364125 1993677125 2067745625 2142936375 2146303125 2153171295 2231728125 2233165275 2398809375 2428661225 2530920645 2622954123 2623259375 2718650625 2819653125 2828676015 2833120125 2931878125 3166428375 3195606875 3205832817 3451255425 3571560625 3588618825 3721942125 3857285475 4017110625 4166353125 4218201075 4371590205 4531084375 4714460025 4721866875 4893571125 5075375625 5277380625 5343054695 5752092375 5981031375 6203236875 6428809125 6438909375 6695184375 7030335125 7196428125 7285983675 7592761935 7857433375 7869778125 8155951875 8458959375 8486028045 8795634375 9586820625 9617498451 9968385625 10338728125 10714681875 10765856475 11165826375 12143306125 12654603225 13114770615 13593253125 14143380075 14165600625 15832141875 15978034375 16029164085 17256277125 17857803125 17943094125 18609710625 19286427375 20085553125 21091005375 21857951025 23572300125 23609334375 24467855625 25376878125 26386903125 26715273475 28760461875 28852495353 29905156875 31016184375 32144045625 35151675625 36429918375 37963809675 39287166875 40779759375 42430140225 47934103125 48087492255 49841928125 53573409375 53829282375 55829131875 60716530625 63273016125 65573853075 70716900375 70828003125 79160709375 80145820425 86281385625 89715470625 93048553125 96432136875 105455026875 109289755125 117861500625 122339278125 133576367375 143802309375 144262476765 149525784375 160720228125 175758378125 182149591875 189819048375 196435834375 212150701125 240437461275 269146411875 279145659375 303582653125 316365080625 327869265375 353584501875 400729102125 431406928125 448577353125 482160684375 527275134375 546448775625 589307503125 667881836875 721312383825 910747959375 949095241875 1060753505625 1202187306375 1345732059375 1581825403125 1639346326875 1767922509375 2003645510625 2732243878125 3339409184375 3606561919125 4745476209375 5303767528125 6010936531875 8196731634375 10018227553125 18032809595625 30054682659375 90164047978125
• Sum of all divisors σ(n): 206077810176000
• Sum of proper divisors (its aliquot sum) s(n): 115913762197875
• 90164047978125 is an abundant number, because the sum of its proper divisors (115913762197875) is greater than itself. Its abundance is 25749714219750

Bases of 90164047978125

• Binary: 10100100000000011110100000011010001111010001101₂
• Hexadecimal: 0x5200F40D1E8D
• Base-36: VYKSI76H9

Squares and roots of 90164047978125

• 90164047978125 squared (90164047978125²) is 8129555547801626900478515625
• 90164047978125 cubed (90164047978125³) is 732993636452818154724675517333282470703125
• The square root of 90164047978125 is 9495475.1317732911
• The cube root of 90164047978125 is 44841.2592864631

Scales and comparisons

• 90,164,047,978,125 seconds is equal to 2,866,937 years, 43 weeks, 1 day, 2 hours, 48 minutes, 45 seconds.
• To count from 1 to 90,164,047,978,125 would take you about seven million, one hundred sixty-seven thousand, three hundred forty-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 90164047978125 cubic inches would be around 3736.8 feet tall.

Recreational maths with 90164047978125

• 90164047978125 backwards is 52187974046109
• The number of decimal digits it has is: 14
• The sum of 90164047978125's digits is 63
• More coming soon!