27942434919168
27,942,434,919,168 is an even composite number composed of seven prime numbers multiplied together.
27942434919168 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 27942434919168:
28 × 3 × 7 × 113 × 17 × 29 × 892
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 11 × 11 × 17 × 29 × 89 × 89)See below for interesting mathematical facts about the number 27942434919168 from the Numbermatics database.
Names of 27942434919168
- Cardinal: 27942434919168 can be written as Twenty-seven trillion, nine hundred forty-two billion, four hundred thirty-four million, nine hundred nineteen thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 2.7942434919168 × 1013
Factors of 27942434919168
Divisors of 27942434919168
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 17 21 22 24 28 29 32 33 34 42 44 48 51 56 58 64 66 68 77 84 87 88 89 96 102 112 116 119 121 128 132 136 154 168 174 176 178 187 192 203 204 224 231 232 238 242 256 264 267 272 308 319 336 348 352 356 357 363 374 384 406 408 448 462 464 476 484 493 528 534 544 561 609 616 623 638 672 696 704 712 714 726 748 768 812 816 847 896 924 928 952 957 968 979 986 1056 1068 1088 1122 1218 1232 1246 1276 1309 1331 1344 1392 1408 1424 1428 1452 1479 1496 1513 1624 1632 1694 1792 1848 1856 1869 1904 1914 1936 1958 1972 2057 2112 2136 2176 2233 2244 2436 2464 2492 2541 2552 2581 2618 2662 2688 2784 2816 2848 2856 2904 2937 2958 2992 3026 3248 3264 3388 3451 3509 3696 3712 3738 3808 3828 3872 3916 3927 3944 3993 4114 4224 4272 4352 4466 4488 4539 4872 4928 4984 5082 5104 5162 5236 5324 5376 5423 5568 5696 5712 5808 5874 5916 5984 6052 6171 6496 6528 6699 6776 6853 6902 7018 7392 7424 7476 7616 7656 7743 7744 7832 7854 7888 7921 7986 8228 8448 8544 8932 8976 9078 9317 9744 9856 9968 10164 10208 10324 10353 10472 10527 10591 10648 10769 10846 11136 11392 11424 11616 11748 11832 11968 12104 12342 12992 13056 13398 13552 13706 13804 14036 14399 14784 14952 15232 15312 15486 15488 15664 15708 15776 15842 15972 16269 16456 16643 17088 17864 17952 18067 18156 18634 19488 19712 19936 20328 20416 20559 20648 20706 20944 21054 21182 21296 21538 21692 22272 22627 22784 22848 23232 23496 23664 23763 23936 24208 24563 24684 25984 26796 27104 27412 27608 27951 28072 28391 28798 29568 29904 30464 30624 30972 30976 31328 31416 31552 31684 31773 31944 32307 32538 32912 33286 34176 35728 35904 36134 36312 37268 37961 38599 38976 39872 40656 40832 41118 41296 41412 41888 42108 42364 42592 43076 43197 43384 43877 45254 45696 46464 46992 47328 47526 47872 48416 49126 49368 49929 51968 53592 54201 54208 54824 55216 55447 55902 56144 56782 57596 59136 59653 59808 61248 61944 62656 62832 63104 63368 63546 63888 64614 65076 65824 66572 67881 68352 71456 71808 72268 72624 73689 74536 75383 75922 77198 77952 79744 81312 81664 82236 82592 82824 83776 84216 84728 85173 85184 86152 86394 86768 87131 87754 90508 91392 92928 93984 94656 95052 96832 98252 98736 99858 107184 108402 108416 109648 110432 110894 111804 112288 113564 113883 115192 115797 116501 118459 119306 119616 122496 123888 125312 125664 126208 126736 127092 127776 129228 130152 131631 131648 133144 134657 135762 142912 143616 144536 145248 147378 149072 150766 151844 154396 155904 158389 159488 162624 164472 165184 165648 166341 167552 168432 169456 170346 170368 172304 172788 173536 174262 175508 178959 181016 183073 187968 189312 190104 193664 196504 197472 198737 199716 214368 216804 216832 219296 220864 221788 223608 224576 226149 227128 227766 229709 230384 231594 233002 236918 238612 239232 244992 247776 250624 251328 253472 254184 255552 258456 260304 261393 263262 263296 266288 269314 270193 271524 285824 289072 290496 294756 298144 301532 303688 307139 308792 312301 316778 325248 328944 330368 331296 332682 335104 336864 338912 340692 340736 344608 345576 347072 348524 349503 351016 355377 357918 362032 366146 375936 378624 380208 387328 393008 394944 397474 399432 403971 417571 428736 433608 438592 441728 443576 447216 449152 452298 454256 455532 459418 460768 463188 466004 473836 475167 477224 478464 482647 495552 502656 506944 508368 511104 516912 520608 522786 526524 526592 532576 538628 540386 543048 549219 571648 578144 580992 589512 596211 596288 603064 607376 609917 614278 617584 624602 633556 650496 656183 657888 660736 662592 665364 673728 677824 681384 689127 689216 691152 694144 697048 699006 702032 710754 715836 724064 732292 751872 760416 786016 789888 794948 798864 807942 810579 829213 835142 857472 867216 877184 883456 887152 894432 898304 904596 908512 911064 918836 921417 921536 926376 932008 936903 942599 947672 950334 954448 958441 965294 991104 1005312 1013888 1016736 1022208 1033824 1041216 1045572 1053048 1065152 1077256 1080772 1086096 1098438 1156288 1161984 1179024 1192422 1192576 1206128 1214752 1219834 1228556 1235168 1249204 1252713 1267112 1281511 1312366 1315776 1325184 1330728 1347456 1355648 1362768 1378254 1378432 1382304 1388288 1394096 1398012 1404064 1421508 1431672 1447941 1448128 1464584 1481227 1520832 1572032 1579776 1589896 1597728 1607963 1615884 1621158 1658426 1670284 1714944 1734432 1754368 1774304 1788864 1809192 1817024 1822128 1829751 1837672 1842834 1843072 1852752 1864016 1873806 1885198 1895344 1900668 1908896 1916882 1930588 1968549 1982208 2013803 2027776 2033472 2067648 2082432 2091144 2106096 2130304 2154512 2161544 2172192 2186107 2196876 2312576 2358048 2384844 2385152 2412256 2429504 2439668 2457112 2470336 2487639 2498408 2505426 2526799 2534224 2563022 2624732 2631552 2650368 2661456 2694912 2711296 2725536 2756508 2756864 2764608 2788192 2796024 2808128 2827797 2843016 2863344 2875323 2895882 2896256 2929168 2962454 3041664 3144064 3179792 3195456 3215926 3231768 3242316 3316852 3340568 3378529 3435311 3468864 3548608 3577728 3618384 3634048 3644256 3659502 3675344 3685668 3686144 3705504 3728032 3747612 3770396 3790688 3801336 3817792 3833764 3844533 3861176 3905053 3937098 4027606 4066944 4135296 4164864 4182288 4212192 4260608 4309024 4323088 4344384 4372214 4393752 4443681 4593281 4625152 4716096 4769688 4823889 4824512 4859008 4879336 4914224 4940672 4975278 4996816 5010852 5053598 5068448 5126044 5249464 5263104 5309117 5322912 5451072 5513016 5529216 5576384 5592048 5616256 5655594 5686032 5726688 5750646 5791764 5792512 5858336 5924908 6041409 6083328 6288128 6359584 6390912 6431852 6463536 6484632 6558321 6633704 6681136 6709087 6757058 6870622 6937728 7097216 7155456 7236768 7268096 7288512 7319004 7350688 7371336 7411008 7456064 7495224 7540792 7580397 7581376 7602672 7635584 7667528 7689066 7722352 7810106 7874196 8055212 8133888 8270592 8364576 8424384 8618048 8646176 8688768 8744428 8787504 8887362 9186562 9432192 9539376 9647778 9649024 9718016 9758672 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6256702848 6420596259 6540832144 6615159782 6792035712 6997854976 7084795872 7115465984 7135453248 7216537944 7299486656 7337824296 7475236736 7527595614 7560182608 7963076352 8096909568 8247471936 8560795012 8602966416 9234115968 9339049104 9446394496 9513937664 9622050592 9783765728 9811248216 9922739673 10036794152 10395251086 10496782464 10673198976 10826204928 10949229984 10996629248 11212855104 11340273912 11470621888 12452065472 12513405696 12841192518 13081664288 13230319564 13584071424 14169591744 14270906496 14433075888 14598973312 14675648592 14950473472 15055191228 15120365216 15592876629 16494943872 17121590024 17205932832 18468231936 18678098208 18892788992 19244101184 19567531456 19622496432 19845479346 20073588304 20790502172 20993564928 21346397952 21898459968 22425710208 22680547824 22941243776 24904130944 25682385036 26163328576 26460639128 28339183488 28541812992 28866151776 29197946624 29351297184 30110382456 30240730432 31185753258 32989887744 34243180048 34411865664 36383378801 37356196416 38488202368 39135062912 39244992864 39690958692 40147176608 41581004344 43796919936 44851420416 45361095648 45882487552 49808261888 51364770072 52326657152 52921278256 56678366976 57732303552 58702594368 60220764912 60481460864 62371506516 68486360096 68823731328 72766757602 74712392832 76976404736 78270125824 78489985728 79381917384 80294353216 83162008688 87593839872 90722191296 102729540144 104653314304 105842556512 109150136403 115464607104 117405188736 120441529824 120962921728 124743013032 136972720192 137647462656 145533515204 149424785664 156979971456 158763834768 160588706432 166324017376 181444382592 205459080288 211685113024 218300272806 230929214208 234810377472 240883059648 249486026064 273945440384 291067030408 313959942912 317527669536 321177412864 332648034752 362888765184 410918160576 423370226048 436600545612 481766119296 498972052128 547890880768 582134060816 635055339072 665296069504 821836321152 846740452096 873201091224 963532238592 997944104256 1164268121632 1270110678144 1330592139008 1643672642304 1746402182448 1995888208512 2328536243264 2540221356288 3492804364896 3991776417024 4657072486528 6985608729792 9314144973056 13971217459584 27942434919168
- Sum of all divisors σ(n): 103560096568320
- Sum of proper divisors (its aliquot sum) s(n): 75617661649152
- 27942434919168 is an abundant number, because the sum of its proper divisors (75617661649152) is greater than itself. Its abundance is 47675226729984
Bases of 27942434919168
- Binary: 1100101101001110110101110100001010011000000002
- Hexadecimal: 0x1969DAE85300
- Base-36: 9WKKSAQYO
Squares and roots of 27942434919168
- 27942434919168 squared (279424349191682) is 780779669211939194693812224
- 27942434919168 cubed (279424349191683) is 21816885093164129949944723985835210309632
-
The
square root of 27942434919168 is 5286060.4346874431 -
The
cube root of 27942434919168 is 30345.0657404423
Scales and comparisons
How big is 27942434919168?- 27,942,434,919,168 seconds is equal to 888,482 years, 51 weeks, 6 days, 13 hours, 32 minutes, 48 seconds.
-
To count from 1 to 27,942,434,919,168 would take you about two million, two hundred twenty-one thousand, two hundred seven 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 27942434919168 cubic inches would be around 2528.8 feet tall.
Recreational maths with 27942434919168
- 27942434919168 backwards is 86191943424972
- The number of decimal digits it has is: 14
- The sum of 27942434919168's digits is 69
- More coming soon!
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"Number 27942434919168 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 27942434919168 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/27942434919168/
Chicago style:
Numbermatics. 2024. "Number 27942434919168 - Facts about the integer". https://numbermatics.com/n/27942434919168/
The information we have on file for 27942434919168 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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