164435824004028480
164,435,824,004,028,480 is an even composite number composed of seven prime numbers multiplied together.
What does the number 164435824004028480 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2268 divisors.
164435824004028480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, two hundred sixty-eight divisors.
Prime factorization of 164435824004028480:
26 × 32 × 5 × 292 × 61 × 732 × 4572
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 29 × 29 × 61 × 73 × 73 × 457 × 457)See below for interesting mathematical facts about the number 164435824004028480 from the Numbermatics database.
Names of 164435824004028480
- Cardinal: 164435824004028480 can be written as One hundred sixty-four quadrillion, four hundred thirty-five trillion, eight hundred twenty-four billion, four million, twenty-eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.6443582400402848 × 1017
Factors of 164435824004028480
Divisors of 164435824004028480
- Number of divisors d(n): 2268
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 32 36 40 45 48 58 60 61 64 72 73 80 87 90 96 116 120 122 144 145 146 160 174 180 183 192 219 232 240 244 261 288 290 292 305 320 348 360 365 366 435 438 457 464 480 488 522 549 576 580 584 610 657 696 720 730 732 841 870 876 914 915 928 960 976 1044 1095 1098 1160 1168 1220 1305 1314 1371 1392 1440 1460 1464 1682 1740 1752 1769 1828 1830 1856 1952 2088 2117 2190 2196 2285 2320 2336 2440 2523 2610 2628 2742 2745 2784 2880 2920 2928 3285 3364 3480 3504 3538 3656 3660 3904 4113 4176 4205 4234 4380 4392 4453 4570 4640 4672 4880 5046 5220 5256 5307 5329 5484 5490 5568 5840 5856 6351 6570 6728 6855 6960 7008 7076 7312 7320 7569 8226 8352 8410 8468 8760 8784 8845 8906 9140 9280 9760 10092 10440 10512 10585 10614 10658 10968 10980 11680 11712 12615 12702 13140 13253 13359 13456 13710 13920 14016 14152 14624 14640 15138 15921 15987 16452 16704 16820 16936 17520 17568 17690 17812 18280 19053 19520 20184 20565 20880 21024 21170 21228 21316 21936 21960 22265 23360 25230 25404 26280 26506 26535 26645 26718 26912 27420 27840 27877 28304 29248 29280 30276 31755 31842 31974 32904 33361 33640 33872 35040 35136 35380 35624 36560 37845 38106 39759 40077 40368 41130 41760 42048 42340 42456 42632 43872 43920 44530 47961 50460 50808 51301 52560 53012 53070 53290 53436 53824 54840 55754 56608 58560 60552 61393 63510 63684 63948 65808 66265 66722 66795 67280 67744 70080 70760 71248 73120 75690 76212 79518 79605 79935 80154 80736 82260 83520 83631 84680 84912 85264 87744 87840 89060 95265 95922 100083 100920 101616 102602 105120 106024 106140 106580 106872 109680 111508 113216 119277 121104 122786 127020 127368 127896 129137 131616 132530 133444 133590 134560 135488 139385 141520 142496 146240 151380 152424 153903 154541 159036 159210 159870 160308 161472 164520 166805 167262 169360 169824 170528 175680 178120 184179 190530 191844 198795 200166 200385 201840 203232 205204 208849 210240 212048 212280 213160 213744 219360 223016 238554 239805 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375424255716960 378013388515008 449278207661280 450509106860352 456766177788968 472516735643760 513861950012589 539133849193536 563136383575440 567020082772512 570957722236210 630022314191680 673917311491920 685149266683452 708775103465640 750848511433920 856436583354315 898556415322560 913532355577936 945033471287520 1027723900025178 1126272767150880 1134040165545024 1141915444472420 1347834622983840 1370298533366904 1417550206931280 1712873166708630 1827064711155872 1890066942575040 2055447800050356 2252545534301760 2283830888944840 2569309750062945 2695669245967680 2740597066733808 2835100413862560 3425746333417260 3654129422311744 4110895600100712 4567661777889680 5138619500125890 5481194133467616 5670200827725120 6851492666834520 8221791200201424 9135323555779360 10277239000251780 10962388266935232 13702985333669040 16443582400402848 18270647111558720 20554478000503560 27405970667338080 32887164800805696 41108956001007120 54811941334676160 82217912002014240 164435824004028480
- Sum of all divisors σ(n): 604960318528108452
- Sum of proper divisors (its aliquot sum) s(n): 440524494524079972
- 164435824004028480 is an abundant number, because the sum of its proper divisors (440524494524079972) is greater than itself. Its abundance is 276088670520051492
Bases of 164435824004028480
- Binary: 10010010000011000110000010101111100001101111011000010000002
- Hexadecimal: 0x2483182BE1BD840
- Base-36: 18Z3MUP0U4W0
Squares and roots of 164435824004028480
- 164435824004028480 squared (1644358240040284802) is 27039140215883828856551268651110400
- 164435824004028480 cubed (1644358240040284803) is 4446203301759321921878869345762746793705225224192000
-
The
square root of 164435824004028480 is 405506872.9430223603 -
The
cube root of 164435824004028480 is 547854.8108491735
Scales and comparisons
How big is 164435824004028480?- 164,435,824,004,028,480 seconds is equal to 5,228,550,569 years, 48 weeks, 2 days, 48 minutes.
-
To count from 1 to 164,435,824,004,028,480 would take you about fifteen billion, six hundred eighty-five million, six hundred fifty-one thousand, seven hundred 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 164435824004028480 cubic inches would be around 45654.6 feet tall.
Recreational maths with 164435824004028480
- 164435824004028480 backwards is 084820400428534461
- The number of decimal digits it has is: 18
- The sum of 164435824004028480's digits is 63
- More coming soon!
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"Number 164435824004028480 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 164435824004028480 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/164435824004028480/
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The information we have on file for 164435824004028480 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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