164198368110438144
164,198,368,110,438,144 is an even composite number composed of six prime numbers multiplied together.
164198368110438144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 164198368110438144:
28 × 32 × 72 × 233 × 193 × 7872
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 23 × 23 × 23 × 193 × 787 × 787)See below for interesting mathematical facts about the number 164198368110438144 from the Numbermatics database.
Names of 164198368110438144
- Cardinal: 164198368110438144 can be written as One hundred sixty-four quadrillion, one hundred ninety-eight trillion, three hundred sixty-eight billion, one hundred ten million, four hundred thirty-eight thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.64198368110438144 × 1017
Factors of 164198368110438144
Divisors of 164198368110438144
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 49 56 63 64 69 72 84 92 96 98 112 126 128 138 144 147 161 168 184 192 193 196 207 224 252 256 276 288 294 322 336 368 384 386 392 414 441 448 483 504 529 552 576 579 588 644 672 736 768 772 784 787 828 882 896 966 1008 1058 1104 1127 1152 1158 1176 1288 1344 1351 1449 1472 1544 1568 1574 1587 1656 1737 1764 1792 1932 2016 2116 2208 2254 2304 2316 2352 2361 2576 2688 2702 2898 2944 3088 3136 3148 3174 3312 3381 3474 3528 3703 3864 4032 4053 4232 4416 4439 4508 4632 4704 4722 4761 5152 5376 5404 5509 5796 5888 6176 6272 6296 6348 6624 6762 6948 7056 7083 7406 7728 8064 8106 8464 8832 8878 9016 9264 9408 9444 9457 9522 10143 10304 10808 11018 11109 11592 12159 12167 12352 12544 12592 12696 13248 13317 13524 13896 14112 14166 14812 15456 16128 16212 16527 16928 17664 17756 18032 18101 18528 18816 18888 18914 19044 20286 20608 21616 22036 22218 23184 24318 24334 24704 25184 25392 25921 26496 26634 27048 27792 28224 28332 28371 29624 30912 31073 32424 33054 33327 33856 35512 36064 36202 36501 37056 37632 37776 37828 38088 38563 39951 40572 41216 43232 44072 44436 46368 48636 48668 49408 49581 50368 50784 51842 52992 53268 54096 54303 55584 56448 56664 56742 59248 61824 62146 64848 66108 66654 67712 71024 72128 72404 73002 74112 75552 75656 76176 77126 77763 79902 81144 85113 85169 86464 88144 88872 92736 93219 97272 97336 99162 100736 101568 102097 103684 106536 108192 108606 109503 111168 112896 113328 113484 115689 118496 123648 124292 126707 129696 132216 133308 135424 142048 144256 144808 146004 148224 151104 151312 151891 152352 154252 155526 159804 162288 162909 170226 170338 172928 176288 177744 185472 186438 194544 194672 198324 201472 203136 204194 207368 213072 216384 217212 217511 219006 222336 226656 226968 231378 233289 236992 248584 253414 255507 259392 264432 266616 279657 284096 288512 289616 292008 302208 302624 303782 304704 306291 308504 311052 319608 324576 325818 340452 340676 345856 347067 352576 355488 370944 372876 380121 389088 389344 396648 406272 408388 414736 416323 426144 432768 434424 435022 438012 444672 453312 453936 455673 462756 466578 473984 497168 506828 511014 518784 528864 533232 559314 568192 579232 584016 596183 604416 605248 607564 609408 612582 617008 619369 622104 639216 649152 651636 652533 680904 681352 694134 705152 710976 714679 745752 760242 766521 778176 778688 793296 816776 829472 832646 852288 865536 868848 870044 876024 886949 906624 907872 911346 918873 925512 933156 947968 994336 1013656 1022028 1037568 1057728 1063237 1066464 1118628 1136384 1140363 1158464 1168032 1192366 1210496 1215128 1218816 1225164 1234016 1238738 1244208 1248969 1278432 1298304 1303272 1305066 1361808 1362704 1367019 1388268 1410304 1421952 1429358 1491504 1520484 1533042 1556352 1557376 1586592 1633552 1658944 1665292 1704576 1737696 1740088 1752048 1773898 1788549 1813248 1815744 1822692 1837746 1851024 1858107 1866312 1957599 1988672 2027312 2044056 2115456 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1027498486336 1055761532544 1064481291072 1077756564472 1081027632384 1085164217712 1086657984636 1107771805581 1124615545536 1133903983968 1138242902274 1155935797128 1212476135031 1231721787968 1241894839584 1266024920664 1295890267392 1321069482432 1327950052653 1385687011464 1419308388096 1446885623616 1448877312848 1454421486239 1477029074108 1499487394048 1511871978624 1517657203032 1541247729504 1583642298816 1608258500352 1616634846708 1629986976954 1655859786112 1686923318304 1688033227552 1761425976576 1770600070204 1847582681952 1862842259376 1899037380996 1927912363776 1929180831488 2023542937376 2054996972672 2111523065088 2128962582144 2155513128944 2170328435424 2173315969272 2215543611162 2249231091072 2267807967936 2276485804548 2311871594256 2424952270062 2463443575936 2483789679168 2532049841328 2642138964864 2655900105306 2771374022928 2893771247232 2897754625696 2908842972478 2954058148216 3023743957248 3035314406064 3082495459008 3098550122857 3167284597632 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69812231339472 70897395557184 71266652825711 72847545745536 74365202948568 77598472641984 81447603229384 84988803369792 91628553633057 93082975119296 94529860742912 99153603931424 103464630189312 104319166525056 104718347009208 106346093335776 111547804422852 113318404493056 121538392383744 122171404844076 127483205054688 139624462678944 141794791114368 142533305651422 145695091491072 148730405897136 155196945283968 162895206458768 169977606739584 183257107266114 186165950238592 198307207862848 208638333050112 209436694018416 212692186671552 213799958477133 223095608845704 244342809688152 254966410109376 279248925357888 283589582228736 285066611302844 297460811794272 310393890567936 325790412917536 339955213479168 366514214532228 372331900477184 396614415725696 418873388036832 425384373343104 427599916954266 446191217691408 488685619376304 509932820218752 558497850715776 570133222605688 594921623588544 641399875431399 651580825835072 733028429064456 793228831451392 837746776073664 850768746686208 855199833908532 892382435382816 977371238752608 1019865640437504 1116995701431552 1140266445211376 1189843247177088 1282799750862798 1303161651670144 1466056858128912 1675493552147328 1710399667817064 1784764870765632 1954742477505216 2280532890422752 2379686494354176 2565599501725596 2606323303340288 2932113716257824 3350987104294656 3420799335634128 3569529741531264 3909484955010432 4561065780845504 5131199003451192 5864227432515648 6841598671268256 7139059483062528 7818969910020864 9122131561691008 10262398006902384 11728454865031296 13683197342536512 18244263123382016 20524796013804768 23456909730062592 27366394685073024 41049592027609536 54732789370146048 82099184055219072 164198368110438144
- Sum of all divisors σ(n): 579468188953049760
- Sum of proper divisors (its aliquot sum) s(n): 415269820842611616
- 164198368110438144 is an abundant number, because the sum of its proper divisors (415269820842611616) is greater than itself. Its abundance is 251071452732173472
Bases of 164198368110438144
- Binary: 10010001110101100110001011101110111110101111100111000000002
- Hexadecimal: 0x247598BBBEBE700
- Base-36: 18WRGOYOQ0W0
Squares and roots of 164198368110438144
- 164198368110438144 squared (1641983681104381442) is 26961104090130950031694567650164736
- 164198368110438144 cubed (1641983681104381443) is 4426969294055161197398667121079733808517482738089984
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The
square root of 164198368110438144 is 405213978.1775033287 -
The
cube root of 164198368110438144 is 547590.9712938681
Scales and comparisons
How big is 164198368110438144?- 164,198,368,110,438,144 seconds is equal to 5,221,000,207 years, 4 days, 7 hours, 2 minutes, 24 seconds.
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To count from 1 to 164,198,368,110,438,144 would take you about fifteen billion, six hundred sixty-three million, six hundred twenty-one 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 164198368110438144 cubic inches would be around 45632.6 feet tall.
Recreational maths with 164198368110438144
- 164198368110438144 backwards is 441834011863891461
- 164198368110438144 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 164198368110438144's digits is 72
- More coming soon!
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The information we have on file for 164198368110438144 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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