90432290144324800

Names of 90432290144324800

• Cardinal: 90432290144324800 can be written as Ninety quadrillion, four hundred thirty-two trillion, two hundred ninety billion, one hundred forty-four million, three hundred twenty-four thousand, eight hundred.

Scientific notation

• Scientific notation: 9.04322901443248 × 10¹⁶

Factors of 90432290144324800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 125579053

Divisors of 90432290144324800

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 113 140 160 175 200 224 226 280 320 350 400 448 452 560 565 569 700 791 800 904 1120 1130 1138 1400 1582 1600 1808 2240 2260 2276 2800 2825 2845 3164 3616 3955 3983 4520 4552 5600 5650 5690 6328 7232 7910 7966 9040 9104 11200 11300 11380 12656 14225 15820 15932 18080 18208 19775 19915 22600 22760 25312 28450 31640 31864 36160 36416 39550 39830 45200 45520 50624 56900 63280 63728 64297 79100 79660 90400 91040 99575 113800 126560 127456 128594 158200 159320 180800 182080 199150 227600 253120 254912 257188 316400 318640 321485 398300 450079 455200 514376 632800 637280 642970 796600 900158 910400 1028752 1265600 1274560 1285940 1593200 1607425 1800316 2057504 2250395 2571880 3186400 3214850 3600632 4115008 4500790 5143760 6372800 6429700 7201264 9001580 10287520 11251975 12859400 14402528 18003160 20575040 22503950 25718800 28805056 36006320 45007900 51437600 72012640 90015800 102875200 125578357 144025280 180031600 251156714 360063200 502313428 627891785 720126400 879048499 1004626856 1255783570 1758096998 2009253712 2511567140 3139458925 3516193996 4018507424 4395242495 5023134280 6278917850 7032387992 8037014848 8790484990 10046268560 12557835700 14064775984 14190354341 17580969980 20092537120 21976212475 25115671400 28129551968 28380708682 35161939960 40185074240 43952424950 50231342800 56259103936 56761417364 70323879920 70951771705 71454085133 87904849900 99332480387 100462685600 113522834728 140647759840 141903543410 142908170266 175809699800 198664960774 200925371200 227045669456 281295519680 283807086820 285816340532 351619399600 354758858525 357270425665 397329921548 454091338912 496662401935 500178595931 567614173640 571632681064 703238799200 709517717050 714540851330 794659843096 908182677824 993324803870 1000357191862 1135228347280 1143265362128 1406477598400 1419035434100 1429081702660 1589319686192 1786352128325 1986649607740 2000714383724 2270456694560 2286530724256 2483312009675 2500892979655 2838070868200 2858163405320 3178639372384 3572704256650 3973299215480 4001428767448 4540913389120 4573061448512 4966624019350 5001785959310 5676141736400 5716326810640 6357278744768 7145408513300 7946598430960 8002857534896 8074311620029 9933248038700 10003571918620 11352283472800 11432653621280 12504464898275 14290817026600 15893196861920 16005715069792 16148623240058 19866496077400 20007143837240 22704566945600 22865307242560 25008929796550 28581634053200 31786393723840 32011430139584 32297246480116 39732992154800 40014287674480 40371558100145 50017859593100 56520181340203 57163268106400 64594492960232 79465984309600 80028575348960 80743116200290 100035719186200 113040362680406 114326536212800 129188985920464 158931968619200 160057150697920 161486232400580 200071438372400 201857790500725 226080725360812 258377971840928 282600906701015 322972464801160 400142876744800 403715581001450 452161450721624 516755943681856 565201813402030 645944929602320 800285753489600 807431162002900 904322901443248 1130403626804060 1291889859204640 1413004533505075 1614862324005800 1808645802886496 2260807253608120 2583779718409280 2826009067010150 3229724648011600 3617291605772992 4521614507216240 5652018134020300 6459449296023200 9043229014432480 11304036268040600 12918898592046400 18086458028864960 22608072536081200 45216145072162400 90432290144324800
• Sum of all divisors σ(n): 257009933312648640
• Sum of proper divisors (its aliquot sum) s(n): 166577643168323840
• 90432290144324800 is an abundant number, because the sum of its proper divisors (166577643168323840) is greater than itself. Its abundance is 76145353023999040

Bases of 90432290144324800

• Binary: 101000001010001111011000001010010010001110000110011000000₂
• Hexadecimal: 0x14147B052470CC0
• Base-36: OQFKKKJE3LS

Squares and roots of 90432290144324800

• 90432290144324800 squared (90432290144324800²) is 8177999100747344356413647895040000
• 90432290144324800 cubed (90432290144324800³) is 739555187478811146184602691172675291322068992000000
• The square root of 90432290144324800 is 300719620.4844718807
• The cube root of 90432290144324800 is 448856.8352652961

Scales and comparisons

• 90,432,290,144,324,800 seconds is equal to 2,875,467,101 years, 7 weeks, 5 days, 13 hours, 46 minutes, 40 seconds.
• To count from 1 to 90,432,290,144,324,800 would take you about eight billion, six hundred twenty-six million, four hundred one thousand, three hundred three 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 90432290144324800 cubic inches would be around 37404.7 feet tall.

Recreational maths with 90432290144324800

• 90432290144324800 backwards is 00842344109223409
• The number of decimal digits it has is: 17
• The sum of 90432290144324800's digits is 55
• More coming soon!