90475309729140480

Names of 90475309729140480

• Cardinal: 90475309729140480 can be written as Ninety quadrillion, four hundred seventy-five trillion, three hundred nine billion, seven hundred twenty-nine million, one hundred forty thousand, four hundred eighty.

Scientific notation

• Scientific notation: 9.047530972914048 × 10¹⁶

Factors of 90475309729140480

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 4135247

Divisors of 90475309729140480

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 53 60 64 72 80 90 96 106 120 128 144 159 160 180 192 212 240 256 265 288 318 320 360 384 424 477 480 530 576 636 640 720 768 795 848 954 960 1060 1152 1272 1280 1440 1590 1696 1908 1920 2120 2304 2385 2544 2880 3180 3392 3816 3840 4240 4770 5088 5760 6360 6784 7632 8480 9540 10176 11520 12720 13568 15264 16960 19080 20352 25440 30528 33920 36151 38160 40704 50880 61056 67840 72302 76320 101760 108453 122112 144604 152640 180755 203520 216906 289208 305280 325359 361510 433812 542265 578416 610560 650718 723020 867624 1084530 1156832 1301436 1446040 1626795 1735248 1916003 2169060 2313664 2602872 2892080 3253590 3470496 3832006 4099033 4338120 4627328 5205744 5748009 5784160 6507180 6940992 7664012 8198066 8676240 9254656 9580015 10411488 11496018 11568320 12297099 13014360 13881984 15328024 16396132 17244027 17352480 19160030 20495165 20822976 22992036 23136640 24594198 26028720 27763968 28740045 30656048 32792264 34488054 34704960 36891297 38320060 40990330 41645952 45984072 46273280 49188396 52057440 57480090 61312096 61485495 65584528 68976108 69409920 73782594 76640120 81980660 83291904 86220135 91968144 98376792 104114880 114960180 122624192 122970990 131169056 137952216 138819840 147565188 153280240 163961320 172440270 183936288 184456485 196753584 208229760 217248749 229920360 245248384 245941980 262338112 275904432 295130376 306560480 327922640 344880540 367872576 368912970 393507168 416459520 434497498 459840720 490496768 491883960 524676224 551808864 590260752 613120960 651746247 655845280 689761080 735745152 737825940 787014336 868994996 919681440 983767920 1049352448 1086243745 1103617728 1180521504 1226241920 1303492494 1311690560 1379522160 1471490304 1475651880 1574028672 1737989992 1839362880 1955238741 1967535840 2172487490 2207235456 2361043008 2452483840 2606984988 2623381120 2759044320 2951303760 3148057344 3258731235 3475979984 3678725760 3910477482 3935071680 4344974980 4414470912 4722086016 5213969976 5246762240 5518088640 5902607520 6517462470 6951959968 7357451520 7820954964 7870143360 8689949960 9444172032 9776193705 10427939952 11036177280 11805215040 13034924940 13903919936 15641909928 15740286720 17379899920 19552387410 20855879904 22072354560 23610430080 26069849880 27807839872 31283819856 34759799840 39104774820 41711759808 47220860160 52139699760 55615679744 62567639712 69519599680 78209549640 83423519616 104279399520 125135279424 139039199360 148184141983 156419099280 166847039232 208558799040 250270558848 278078398720 296368283966 312838198560 417117598080 444552425949 500541117696 592736567932 625676397120 740920709915 834235196160 889104851898 1185473135864 1251352794240 1333657277847 1481841419830 1778209703796 2222762129745 2370946271728 2502705588480 2667314555694 2963682839660 3556419407592 4445524259490 4741892543456 5334629111388 5927365679320 6668286389235 7112838815184 7853759525099 8891048518980 9483785086912 10669258222776 11854731358640 13336572778470 14225677630368 15707519050198 17782097037960 18967570173824 21338516445552 23561278575297 23709462717280 26673145556940 28451355260736 31415038100396 35564194075920 37935140347648 39268797625495 42677032891104 47122557150594 47418925434560 53346291113880 56902710521472 62830076200792 70683835725891 71128388151840 78537595250990 85354065782208 94245114301188 94837850869120 106692582227760 113805421042944 117806392876485 125660152401584 141367671451782 142256776303680 157075190501980 170708131564416 188490228602376 189675701738240 213385164455520 235612785752970 251320304803168 282735342903564 284513552607360 314150381003960 341416263128832 353419178629455 376980457204752 426770328911040 471225571505940 502640609606336 565470685807128 569027105214720 628300762007920 706838357258910 753960914409504 853540657822080 942451143011880 1005281219212672 1130941371614256 1256601524015840 1413676714517820 1507921828819008 1707081315644160 1884902286023760 2010562438425344 2261882743228512 2513203048031680 2827353429035640 3015843657638016 3769804572047520 4523765486457024 5026406096063360 5654706858071280 6031687315276032 7539609144095040 9047530972914048 10052812192126720 11309413716142560 15079218288190080 18095061945828096 22618827432285120 30158436576380160 45237654864570240 90475309729140480
• Sum of all divisors σ(n): 318950370973555776
• Sum of proper divisors (its aliquot sum) s(n): 228475061244415296
• 90475309729140480 is an abundant number, because the sum of its proper divisors (228475061244415296) is greater than itself. Its abundance is 137999751515274816

Bases of 90475309729140480

• Binary: 101000001011011101101000010011001010110010100111100000000₂
• Hexadecimal: 0x1416ED099594F00
• Base-36: OQUTJHTGHS0

Squares and roots of 90475309729140480

• 90475309729140480 squared (90475309729140480²) is 8185781670583901996462479574630400
• 90475309729140480 cubed (90475309729140480³) is 740611132021199520020407928394484659829805678592000
• The square root of 90475309729140480 is 300791139.7118280811
• The cube root of 90475309729140480 is 448927.9992766659

Scales and comparisons

• 90,475,309,729,140,480 seconds is equal to 2,876,834,990 years, 45 weeks, 4 days, 20 hours, 48 minutes.
• To count from 1 to 90,475,309,729,140,480 would take you about eight billion, six hundred thirty million, five hundred four thousand, nine hundred seventy-two 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 90475309729140480 cubic inches would be around 37410.7 feet tall.

Recreational maths with 90475309729140480

• 90475309729140480 backwards is 08404192790357409
• 90475309729140480 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 90475309729140480's digits is 72
• More coming soon!