45355129900236800

Names of 45355129900236800

• Cardinal: 45355129900236800 can be written as Forty-five quadrillion, three hundred fifty-five trillion, one hundred twenty-nine billion, nine hundred million, two hundred thirty-six thousand, eight hundred.

Scientific notation

• Scientific notation: 4.53551299002368 × 10¹⁶

Factors of 45355129900236800

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 31
• Sum of prime factors: 14

Divisors of 45355129900236800

• Number of divisors d(n): 702
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 128 140 160 175 196 200 224 245 256 280 320 343 350 392 400 448 490 512 560 640 686 700 784 800 896 980 1024 1120 1225 1280 1372 1400 1568 1600 1715 1792 1960 2048 2240 2401 2450 2560 2744 2800 3136 3200 3430 3584 3920 4096 4480 4802 4900 5120 5488 5600 6272 6400 6860 7168 7840 8192 8575 8960 9604 9800 10240 10976 11200 12005 12544 12800 13720 14336 15680 16384 16807 17150 17920 19208 19600 20480 21952 22400 24010 25088 25600 27440 28672 31360 32768 33614 34300 35840 38416 39200 40960 43904 44800 48020 50176 51200 54880 57344 60025 62720 65536 67228 68600 71680 76832 78400 81920 84035 87808 89600 96040 100352 102400 109760 114688 117649 120050 125440 131072 134456 137200 143360 153664 156800 163840 168070 175616 179200 192080 200704 204800 219520 229376 235298 240100 250880 268912 274400 286720 307328 313600 327680 336140 351232 358400 384160 401408 409600 420175 439040 458752 470596 480200 501760 537824 548800 573440 588245 614656 627200 655360 672280 702464 716800 768320 802816 819200 823543 840350 878080 917504 941192 960400 1003520 1075648 1097600 1146880 1176490 1229312 1254400 1344560 1404928 1433600 1536640 1605632 1638400 1647086 1680700 1756160 1882384 1920800 2007040 2151296 2195200 2293760 2352980 2458624 2508800 2689120 2809856 2867200 2941225 3073280 3211264 3276800 3294172 3361400 3512320 3764768 3841600 4014080 4117715 4302592 4390400 4587520 4705960 4917248 5017600 5378240 5619712 5734400 5764801 5882450 6146560 6422528 6588344 6722800 7024640 7529536 7683200 8028160 8235430 8605184 8780800 9411920 9834496 10035200 10756480 11239424 11468800 11529602 11764900 12293120 13176688 13445600 14049280 15059072 15366400 16056320 16470860 17210368 17561600 18823840 19668992 20070400 20588575 21512960 22478848 22937600 23059204 23529800 24586240 26353376 26891200 28098560 28824005 30118144 30732800 32112640 32941720 34420736 35123200 37647680 39337984 40140800 40353607 41177150 43025920 44957696 46118408 47059600 49172480 52706752 53782400 56197120 57648010 60236288 61465600 65883440 68841472 70246400 75295360 78675968 80281600 80707214 82354300 86051840 92236816 94119200 98344960 105413504 107564800 112394240 115296020 120472576 122931200 131766880 137682944 140492800 144120025 150590720 157351936 160563200 161414428 164708600 172103680 184473632 188238400 196689920 201768035 210827008 215129600 224788480 230592040 240945152 245862400 263533760 275365888 280985600 282475249 288240050 301181440 314703872 322828856 329417200 344207360 368947264 376476800 393379840 403536070 421654016 430259200 461184080 481890304 491724800 527067520 550731776 561971200 564950498 576480100 602362880 645657712 658834400 688414720 737894528 752953600 786759680 807072140 843308032 860518400 922368160 963780608 983449600 1008840175 1054135040 1101463552 1123942400 1129900996 1152960200 1204725760 1291315424 1317668800 1376829440 1412376245 1475789056 1505907200 1573519360 1614144280 1686616064 1721036800 1844736320 1927561216 1966899200 1977326743 2017680350 2108270080 2202927104 2259801992 2305920400 2409451520 2582630848 2635337600 2753658880 2824752490 2951578112 3011814400 3228288560 3373232128 3442073600 3689472640 3855122432 3933798400 3954653486 4035360700 4216540160 4519603984 4611840800 4818903040 5165261696 5270675200 5507317760 5649504980 5903156224 6023628800 6456577120 6746464256 6884147200 7061881225 7378945280 7710244864 7867596800 7909306972 8070721400 8433080320 9039207968 9223681600 9637806080 9886633715 10330523392 10541350400 11014635520 11299009960 11806312448 12047257600 12913154240 13492928512 13768294400 13841287201 14123762450 14757890560 15420489728 15818613944 16141442800 16866160640 18078415936 18447363200 19275612160 19773267430 20661046784 21082700800 22598019920 23612624896 24094515200 25826308480 26985857024 27536588800 27682574402 28247524900 29515781120 31637227888 32282885600 33732321280 36156831872 36894726400 38551224320 39546534860 41322093568 42165401600 45196039840 47225249792 48189030400 49433168575 51652616960 53971714048 55073177600 55365148804 56495049800 59031562240 63274455776 64565771200 67464642560 69206436005 72313663744 73789452800 77102448640 79093069720 82644187136 84330803200 90392079680 94450499584 96378060800 98866337150 103305233920 107943428096 110730297608 112990099600 118063124480 126548911552 129131542400 134929285120 138412872010 144627327488 147578905600 158186139440 165288374272 168661606400 180784159360 188900999168 192756121600 197732674300 206610467840 221460595216 225980199200 236126248960 253097823104 258263084800 269858570240 276825744020 289254654976 295157811200 316372278880 330576748544 337323212800 346032180025 361568318720 377801998336 385512243200 395465348600 413220935680 442921190432 451960398400 472252497920 506195646208 516526169600 539717140480 553651488040 578509309952 590315622400 632744557760 661153497088 674646425600 692064360050 723136637440 755603996672 790930697200 826441871360 885842380864 903920796800 944504995840 1012391292416 1033052339200 1107302976080 1157018619904 1180631244800 1265489115520 1322306994176 1349292851200 1384128720100 1446273274880 1581861394400 1652883742720 1771684761728 1807841593600 1889009991680 2024782584832 2066104678400 2214605952160 2314037239808 2361262489600 2530978231040 2644613988352 2698585702400 2768257440200 2892546549760 3163722788800 3305767485440 3543369523456 3615683187200 3778019983360 4049565169664 4132209356800 4429211904320 4628074479616 4722524979200 5061956462080 5289227976704 5536514880400 5785093099520 6327445577600 6611534970880 7086739046912 7231366374400 8099130339328 8264418713600 8858423808640 9256148959232 9445049958400 10123912924160 11073029760800 11570186199040 12654891155200 13223069941760 14173478093824 14462732748800 16198260678656 16528837427200 17716847617280 18512297918464 18890099916800 20247825848320 22146059521600 23140372398080 25309782310400 26446139883520 28346956187648 28925465497600 32396521357312 33057674854400 35433695234560 37024595836928 40495651696640 44292119043200 46280744796160 50619564620800 56693912375296 57850930995200 64793042714624 66115349708800 70867390469120 80991303393280 88584238086400 92561489592320 101239129241600 113387824750592 115701861990400 129586085429248 132230699417600 141734780938240 161982606786560 177168476172800 185122979184640 202478258483200 226775649501184 231403723980800 259172170858496 283469561876480 323965213573120 354336952345600 404956516966400 453551299002368 462807447961600 566939123752960 647930427146240 708673904691200 809913033932800 907102598004736 925614895923200 1133878247505920 1295860854292480 1417347809382400 1619826067865600 1814205196009472 2267756495011840 2834695618764800 3239652135731200 4535512990023680 5669391237529600 6479304271462400 9071025980047360 11338782475059200 22677564950118400 45355129900236800
• Sum of all divisors σ(n): 131227008583443633
• Sum of proper divisors (its aliquot sum) s(n): 85871878683206833
• 45355129900236800 is an abundant number, because the sum of its proper divisors (85871878683206833) is greater than itself. Its abundance is 40516748782970033

Bases of 45355129900236800

• Binary: 10100001001000100100000000010110011100100000000000000000₂
• Hexadecimal: 0xA1224016720000
• Base-36: CEL1V17UKU8

Squares and roots of 45355129900236800

• 45355129900236800 squared (45355129900236800²) is 2057087808267354199520696074240000
• 45355129900236800 cubed (45355129900236800³) is 93299484760159262041569397660021744606380032000000
• The square root of 45355129900236800 is 212967438.5915292921
• The cube root of 45355129900236800 is 356622.5532641371

Scales and comparisons

• 45,355,129,900,236,800 seconds is equal to 1,442,152,838 years, 10 weeks, 2 days, 14 hours, 13 minutes, 20 seconds.
• To count from 1 to 45,355,129,900,236,800 would take you about four billion, three hundred twenty-six million, four hundred fifty-eight thousand, five hundred fourteen 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 45355129900236800 cubic inches would be around 29718.5 feet tall.

Recreational maths with 45355129900236800

• 45355129900236800 backwards is 00863200992155354
• The number of decimal digits it has is: 17
• The sum of 45355129900236800's digits is 62
• More coming soon!