90148555357985520

Names of 90148555357985520

• Cardinal: 90148555357985520 can be written as Ninety quadrillion, one hundred forty-eight trillion, five hundred fifty-five billion, three hundred fifty-seven million, nine hundred eighty-five thousand, five hundred twenty.

Scientific notation

• Scientific notation: 9.014855535798552 × 10¹⁶

Factors of 90148555357985520

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 39385444167

Divisors of 90148555357985520

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 30 33 34 36 40 44 45 48 51 55 60 66 68 72 80 85 88 90 99 102 110 120 132 136 144 153 165 170 176 180 187 198 204 220 240 255 264 272 289 306 330 340 360 374 396 408 440 495 510 528 561 578 612 660 680 720 748 765 792 816 867 880 935 990 1020 1122 1156 1224 1320 1360 1445 1496 1530 1584 1683 1734 1870 1980 2040 2244 2312 2448 2601 2640 2805 2890 2992 3060 3179 3366 3468 3740 3960 4080 4335 4488 4624 5202 5610 5780 6120 6358 6732 6936 7480 7920 8415 8670 8976 9537 10404 11220 11560 12240 12716 13005 13464 13872 14960 15895 16830 17340 19074 20808 22440 23120 25432 26010 26928 28611 31790 33660 34680 38148 41616 44880 47685 50864 52020 57222 63580 67320 69360 76296 95370 104040 114444 127160 134640 143055 152592 190740 208080 228888 254320 286110 381480 457776 572220 762960 1144440 2288880 39385444129 78770888258 118156332387 157541776516 196927220645 236312664774 315083553032 354468997161 393854441290 433239885419 472625329548 590781661935 630167106064 669552550193 708937994322 787708882580 866479770838 945250659096 1181563323870 1299719656257 1339105100386 1417875988644 1575417765160 1732959541676 1772344985805 1890501318192 2008657650579 2166199427095 2363126647740 2599439312514 2678210200772 2835751977288 3150835530320 3347762750965 3465919083352 3544689971610 3899158968771 4017315301158 4332398854190 4726253295480 5198878625028 5356420401544 5671503954576 6025972951737 6498598281285 6695525501930 6931838166704 7089379943220 7365078052123 7798317937542 8034630602316 8664797708380 9452506590960 10043288252895 10397757250056 10712840803088 11382393353281 12051945903474 12997196562570 13391051003860 14178759886440 14730156104246 15596635875084 16069261204632 17329595416760 19495794843855 20086576505790 20795514500112 22095234156369 22764786706562 24103891806948 25994393125140 26782102007720 28357519772880 29460312208492 30129864758685 31193271750168 32138522409264 34147180059843 34659190833520 36825390260615 38991589687710 40173153011580 44190468312738 45529573413124 48207783613896 51988786250280 53564204015440 56911966766405 58920624416984 60259729517370 62386543500336 66285702469107 68294360119686 73650780521230 77983179375420 80346306023160 88380936625476 91059146826248 96415567227792 102441540179529 103977572500560 110476170781845 113823933532810 117841248833968 120519459034740 125206326886091 132571404938214 136588720239372 147301561042460 155966358750840 160692612046320 170735900299215 176761873250952 182118293652496 204883080359058 220952341563690 227647867065620 241038918069480 250412653772182 265142809876428 273177440478744 294603122084920 311932717501680 331428512345535 341471800598430 353523746501904 375618980658273 409766160718116 441904683127380 455295734131240 482077836138960 500825307544364 512207700897645 530285619752856 546354880957488 589206244169840 626031634430455 662857024691070 682943601196860 751237961316546 819532321436232 883809366254760 910591468262480 1001650615088728 1024415401795290 1060571239505712 1126856941974819 1252063268860910 1325714049382140 1365887202393720 1502475922633092 1639064642872464 1767618732509520 1878094903291365 2003301230177456 2048830803590580 2253713883949638 2504126537721820 2651428098764280 2731774404787440 3004951845266184 3756189806582730 4097661607181160 4507427767899276 5008253075443640 5302856197528560 5634284709874095 6009903690532368 7512379613165460 8195323214362320 9014855535798552 10016506150887280 11268569419748190 15024759226330920 18029711071597104 22537138839496380 30049518452661840 45074277678992760 90148555357985520
• Sum of all divisors σ(n): 350842070390956560
• Sum of proper divisors (its aliquot sum) s(n): 260693515032971040
• 90148555357985520 is an abundant number, because the sum of its proper divisors (260693515032971040) is greater than itself. Its abundance is 170544959674985520

Bases of 90148555357985520

• Binary: 101000000010001011010001000101011001000001001101011110000₂
• Hexadecimal: 0x14045A22B209AF0
• Base-36: ONMZULXF4S0

Squares and roots of 90148555357985520

• 90148555357985520 squared (90148555357985520²) is 8126762033131779806000832529670400
• 90148555357985520 cubed (90148555357985520³) is 732615857024955206436092803723488339838973572608000
• The square root of 90148555357985520 is 300247490.1776624677
• The cube root of 90148555357985520 is 448386.9082595139

Scales and comparisons

• 90,148,555,357,985,520 seconds is equal to 2,866,445,212 years, 30 weeks, 6 days, 2 hours, 12 minutes.
• To count from 1 to 90,148,555,357,985,520 would take you about eight billion, five hundred ninety-nine million, three hundred thirty-five thousand, six hundred thirty-seven 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 90148555357985520 cubic inches would be around 37365.6 feet tall.

Recreational maths with 90148555357985520

• 90148555357985520 backwards is 02558975355584109
• The number of decimal digits it has is: 17
• The sum of 90148555357985520's digits is 81
• More coming soon!