4009225809624196752
4,009,225,809,624,196,752 is an even composite number composed of six prime numbers multiplied together.
4009225809624196752 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 4009225809624196752:
24 × 33 × 31 × 59 × 131 × 38733948389
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 31 × 59 × 131 × 38733948389)See below for interesting mathematical facts about the number 4009225809624196752 from the Numbermatics database.
Names of 4009225809624196752
- Cardinal: 4009225809624196752 can be written as Four quintillion, nine quadrillion, two hundred twenty-five trillion, eight hundred nine billion, six hundred twenty-four million, one hundred ninety-six thousand, seven hundred fifty-two.
Scientific notation
- Scientific notation: 4.009225809624196752 × 1018
Factors of 4009225809624196752
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 38733948615
Divisors of 4009225809624196752
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 59 62 72 93 108 118 124 131 144 177 186 216 236 248 262 279 354 372 393 432 472 496 524 531 558 708 744 786 837 944 1048 1062 1116 1179 1416 1488 1572 1593 1674 1829 2096 2124 2232 2358 2832 3144 3186 3348 3537 3658 4061 4248 4464 4716 5487 6288 6372 6696 7074 7316 7729 8122 8496 9432 10974 12183 12744 13392 14148 14632 15458 16244 16461 18864 21948 23187 24366 25488 28296 29264 30916 32488 32922 36549 43896 46374 48732 49383 56592 61832 64976 65844 69561 73098 87792 92748 97464 98766 109647 123664 131688 139122 146196 185496 194928 197532 208683 219294 239599 263376 278244 292392 370992 395064 417366 438588 479198 556488 584784 718797 790128 834732 877176 958396 1112976 1437594 1669464 1754352 1916792 2156391 2875188 3338928 3833584 4312782 5750376 6469173 8625564 11500752 12938346 17251128 25876692 34502256 51753384 103506768 38733948389 77467896778 116201845167 154935793556 232403690334 309871587112 348605535501 464807380668 619743174224 697211071002 929614761336 1045816606503 1200752400059 1394422142004 1859229522672 2091633213006 2285302954951 2401504800118 2788844284008 3602257200177 4183266426012 4570605909902 4803009600236 5074147238959 5577688568016 6855908864853 7204514400354 8366532852024 9141211819804 9606019200472 10148294477918 10806771600531 13711817729706 14409028800708 15222441716877 16733065704048 18282423639608 19212038400944 20296588955836 20567726594559 21613543201062 27423635459412 28818057601416 30444883433754 32420314801593 36564847279216 40593177911672 41135453189118 43227086402124 45667325150631 54847270918824 57636115202832 60889766867508 61703179783677 64840629603186 70844391603481 81186355823344 82270906378236 86454172804248 91334650301262 109694541837648 121779533735016 123406359567354 129681259206372 137001975451893 141688783206962 157298564407729 164541812756472 172908345608496 182669300602524 212533174810443 243559067470032 246812719134708 259362518412744 274003950903786 283377566413924 299374687098581 314597128815458 329083625512944 365338601205048 425066349620886 471895693223187 493625438269416 518725036825488 548007901807572 566755132827848 598749374197162 629194257630916 637599524431329 730677202410096 850132699241772 898124061295743 943791386446374 987250876538832 1096015803615144 1133510265655696 1197498748394324 1258388515261832 1275199048862658 1415687079669561 1700265398483544 1796248122591486 1887582772892748 1912798573293987 2192031607230288 2394997496788648 2516777030523664 2550398097725316 2694372183887229 2831374159339122 3400530796967088 3592496245182972 3775165545785496 3825597146587974 4247061239008683 4789994993577296 5100796195450632 5388744367774458 5662748318678244 7184992490365944 7550331091570992 7651194293175948 8083116551661687 8494122478017366 9280615300056011 10201592390901264 10777488735548916 11325496637356488 14369984980731888 15302388586351896 16166233103323374 16988244956034732 18561230600112022 21554977471097832 22650993274712976 27841845900168033 30604777172703792 32332466206646748 33976489912069464 37122461200224044 43109954942195664 55683691800336066 64664932413293496 67952979824138928 74244922400448088 83525537700504099 111367383600672132 129329864826586992 148489844800896176 167051075401008198 222734767201344264 250576613101512297 334102150802016396 445469534402688528 501153226203024594 668204301604032792 1002306452406049188 1336408603208065584 2004612904812098376 4009225809624196752
- Sum of all divisors σ(n): 12172747531152384000
- Sum of proper divisors (its aliquot sum) s(n): 8163521721528187248
- 4009225809624196752 is an abundant number, because the sum of its proper divisors (8163521721528187248) is greater than itself. Its abundance is 4154295911903990496
Bases of 4009225809624196752
- Binary: 110111101000111010000110100001110011101111101001100110100100002
- Hexadecimal: 0x37A3A1A1CEFA6690
- Base-36: UGKFXQF7ERO0
Squares and roots of 4009225809624196752
- 4009225809624196752 squared (40092258096241967522) is 16073891592556795937414366321207349504
- 4009225809624196752 cubed (40092258096241967523) is 64443861033980089494702085582025732407755965014925611008
-
The
square root of 4009225809624196752 is 2002305124.0068774173 -
The
cube root of 4009225809624196752 is 1588620.5365457011
Scales and comparisons
How big is 4009225809624196752?- 4,009,225,809,624,196,752 seconds is equal to 127,480,979,396 years, 19 weeks, 3 days, 1 hour, 19 minutes, 12 seconds.
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To count from 1 to 4,009,225,809,624,196,752 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 4009225809624196752 cubic inches would be around 132385 feet tall.
Recreational maths with 4009225809624196752
- 4009225809624196752 backwards is 2576914269085229004
- The number of decimal digits it has is: 19
- The sum of 4009225809624196752's digits is 81
- More coming soon!
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