146013753458826240

Names of 146013753458826240

• Cardinal: 146013753458826240 can be written as One hundred forty-six quadrillion, thirteen trillion, seven hundred fifty-three billion, four hundred fifty-eight million, eight hundred twenty-six thousand, two hundred forty.

Scientific notation

• Scientific notation: 1.4601375345882624 × 10¹⁷

Factors of 146013753458826240

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 510

Divisors of 146013753458826240

• Number of divisors d(n): 660
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 169 192 195 208 240 256 260 312 320 338 384 390 416 480 487 507 512 520 624 640 676 768 780 832 845 960 974 1014 1024 1040 1248 1280 1352 1461 1536 1560 1664 1690 1920 1948 2028 2080 2435 2496 2535 2560 2704 2922 3072 3120 3328 3380 3840 3896 4056 4160 4870 4992 5070 5120 5408 5844 6240 6331 6656 6760 7305 7680 7792 8112 8320 9740 9984 10140 10816 11688 12480 12662 13312 13520 14610 15360 15584 16224 16640 18993 19480 19968 20280 21632 23376 24960 25324 27040 29220 31168 31655 32448 33280 37986 38960 39936 40560 43264 46752 49920 50648 54080 58440 62336 63310 64896 66560 75972 77920 81120 82303 86528 93504 94965 99840 101296 108160 116880 124672 126620 129792 151944 155840 162240 164606 173056 187008 189930 199680 202592 216320 233760 237169 246909 249344 253240 259584 303888 311680 324480 329212 374016 379860 405184 411515 432640 467520 474338 493818 498688 506480 519168 607776 623360 648960 658424 711507 748032 759720 810368 823030 865280 935040 948676 987636 1012960 1185845 1215552 1234545 1246720 1297920 1316848 1423014 1496064 1519440 1620736 1646060 1870080 1897352 1975272 2025920 2371690 2431104 2469090 2493440 2595840 2633696 2846028 3038880 3083197 3241472 3292120 3557535 3740160 3794704 3950544 4051840 4743380 4862208 4938180 5267392 5692056 6077760 6166394 6482944 6584240 7115070 7480320 7589408 7901088 8103680 9249591 9486760 9724416 9876360 10534784 11384112 12155520 12332788 13168480 14230140 15178816 15415985 15802176 16207360 18499182 18973520 19448832 19752720 21069568 22768224 24311040 24665576 26336960 28460280 30357632 30831970 31604352 32414720 36998364 37947040 39505440 40081561 42139136 45536448 46247955 48622080 49331152 52673920 56920560 60715264 61663940 63208704 73996728 75894080 79010880 80163122 84278272 91072896 92495910 97244160 98662304 105347840 113841120 115501303 120244683 121430528 123327880 126417408 147993456 151788160 158021760 160326244 182145792 184991820 197324608 200407805 210695680 227682240 231002606 240489366 242861056 246655760 252834816 295986912 303576320 316043520 320652488 346503909 364291584 369983640 394649216 400815610 421391360 455364480 462005212 480978732 493311520 577506515 591973824 601223415 607152640 632087040 641304976 693007818 728583168 739967280 789298432 801631220 910728960 924010424 961957464 986623040 1155013030 1183947648 1202446830 1214305280 1264174080 1282609952 1386015636 1479934560 1501516939 1578596864 1603262440 1732519545 1821457920 1848020848 1923914928 1973246080 2310026060 2367895296 2404893660 2565219904 2772031272 2959869120 3003033878 3157193728 3206524880 3465039090 3642915840 3696041696 3847829856 3946492160 4504550817 4620052120 4735790592 4809787320 5130439808 5544062544 5919738240 6006067756 6413049760 6930078180 7392083392 7507584695 7695659712 7892984320 9009101634 9240104240 9471581184 9619574640 10260879616 11088125088 11839476480 12012135512 12826099520 13860156360 14784166784 15015169390 15391319424 15785968640 18018203268 18480208480 19239149280 19519720207 20521759232 22176250176 22522754085 23678952960 24024271024 25652199040 27720312720 29568333568 30030338780 30782638848 36036406536 36960416960 38478298560 39039440414 41043518464 44352500352 45045508170 47357905920 48048542048 51304398080 55440625440 56249134561 58559160621 59136667136 60060677560 61565277696 72072813072 73920833920 76956597120 78078880828 88705000704 90091016340 96097084096 97598601035 102608796160 110881250880 112498269122 117118321242 118273334272 120121355120 123130555392 144145626144 147841667840 153913194240 156157761656 168747403683 177410001408 180182032680 192194168192 195197202070 205217592320 221762501760 224996538244 234236642484 240242710240 281245672805 288291252288 292795803105 295683335680 307826388480 312315523312 337494807366 354820002816 360364065360 384388336384 390394404140 443525003520 449993076488 468473284968 480485420480 562491345610 576582504576 585591606210 591366671360 615652776960 624631046624 674989614732 720728130720 731238749293 768776672768 780788808280 843737018415 887050007040 899986152976 936946569936 960970840960 1124982691220 1153165009152 1171183212420 1249262093248 1349979229464 1441456261440 1462477498586 1537553345536 1561577616560 1687474036830 1774100014080 1799972305952 1873893139872 1921941681920 2193716247879 2249965382440 2306330018304 2342366424840 2498524186496 2699958458928 2882912522880 2924954997172 3123155233120 3374948073660 3599944611904 3656193746465 3747786279744 3843883363840 4387432495758 4499930764880 4612660036608 4684732849680 4997048372992 5399916917856 5765825045760 5849909994344 6246310466240 6749896147320 7199889223808 7312387492930 7495572559488 7687766727680 8774864991516 8999861529760 9369465699360 9506103740809 9994096745984 10799833835712 10968581239395 11531650091520 11699819988688 12492620932480 13499792294640 14399778447616 14624774985860 14991145118976 17549729983032 17999723059520 18738931398720 19012207481618 19988193491968 21599667671424 21937162478790 23063300183040 23399639977376 24985241864960 26999584589280 28518311222427 28799556895232 29249549971720 29982290237952 35099459966064 35999446119040 37477862797440 38024414963236 43199335342848 43874324957580 46799279954752 47530518704045 49970483729920 53999169178560 57036622444854 57599113790464 58499099943440 59964580475904 70198919932128 71998892238080 74955725594880 76048829926472 86398670685696 87748649915160 93598559909504 95061037408090 99940967459840 107998338357120 114073244889708 116998199886880 140397839864256 142591556112135 143997784476160 149911451189760 152097659852944 172797341371392 175497299830320 187197119819008 190122074816180 215996676714240 228146489779416 233996399773760 280795679728512 285183112224270 287995568952320 299822902379520 304195319705888 350994599660640 374394239638016 380244149632360 431993353428480 456292979558832 467992799547520 561591359457024 570366224448540 608390639411776 701989199321280 748788479276032 760488299264720 863986706856960 912585959117664 935985599095040 1123182718914048 1140732448897080 1216781278823552 1403978398642560 1520976598529440 1825171918235328 1871971198190080 2246365437828096 2281464897794160 2433562557647104 2807956797285120 3041953197058880 3650343836470656 3743942396380160 4562929795588320 4867125115294208 5615913594570240 6083906394117760 7300687672941312 9125859591176640 9734250230588416 11231827189140480 12167812788235520 14601375345882624 18251719182353280 24335625576471040 29202750691765248 36503438364706560 48671251152942080 73006876729413120 146013753458826240
• Sum of all divisors σ(n): 506744111660162904
• Sum of proper divisors (its aliquot sum) s(n): 360730358201336664
• 146013753458826240 is an abundant number, because the sum of its proper divisors (360730358201336664) is greater than itself. Its abundance is 214716604742510424

Bases of 146013753458826240

• Binary: 1000000110101111101011110000110011001111000001110000000000₂
• Hexadecimal: 0x206BEBC333C1C00
• Base-36: 13XPK0BHZMYO

Squares and roots of 146013753458826240

• 146013753458826240 squared (146013753458826240²) is 21320016199134891765078958512537600
• 146013753458826240 cubed (146013753458826240³) is 3113015589038663769256126715125054367036419866624000
• The square root of 146013753458826240 is 382117460.2904534119
• The cube root of 146013753458826240 is 526580.2767106661

Scales and comparisons

• 146,013,753,458,826,240 seconds is equal to 4,642,785,709 years, 41 weeks, 3 days, 1 hour, 4 minutes.
• To count from 1 to 146,013,753,458,826,240 would take you about thirteen billion, nine hundred twenty-eight million, three hundred fifty-seven thousand, one hundred twenty-nine 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 146013753458826240 cubic inches would be around 43881.7 feet tall.

Recreational maths with 146013753458826240

• 146013753458826240 backwards is 042628854357310641
• The number of decimal digits it has is: 18
• The sum of 146013753458826240's digits is 69
• More coming soon!