164431074027168
164,431,074,027,168 is an even composite number composed of six prime numbers multiplied together.
What does the number 164431074027168 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
164431074027168 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 164431074027168:
25 × 33 × 133 × 23 × 1092 × 317
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 13 × 13 × 23 × 109 × 109 × 317)See below for interesting mathematical facts about the number 164431074027168 from the Numbermatics database.
Names of 164431074027168
- Cardinal: 164431074027168 can be written as One hundred sixty-four trillion, four hundred thirty-one billion, seventy-four million, twenty-seven thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 1.64431074027168 × 1014
Factors of 164431074027168
Divisors of 164431074027168
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 23 24 26 27 32 36 39 46 48 52 54 69 72 78 92 96 104 108 109 117 138 144 156 169 184 207 208 216 218 234 276 288 299 312 317 327 338 351 368 414 416 432 436 468 507 552 598 621 624 634 654 676 702 736 828 864 872 897 936 951 981 1014 1104 1196 1242 1248 1268 1308 1352 1404 1417 1521 1656 1744 1794 1872 1902 1962 2028 2197 2208 2392 2484 2507 2536 2616 2691 2704 2808 2834 2853 2943 3042 3312 3488 3588 3744 3804 3887 3924 4056 4121 4251 4394 4563 4784 4968 5014 5072 5232 5382 5408 5616 5668 5706 5886 6084 6591 6624 7176 7291 7521 7608 7774 7848 8073 8112 8242 8502 8559 8788 9126 9568 9936 10028 10144 10464 10764 11232 11336 11412 11661 11772 11881 12168 12363 12753 13182 14352 14582 15042 15216 15548 15696 16146 16224 16484 17004 17118 17576 18252 18421 19773 19872 20056 21528 21873 22563 22672 22824 23322 23544 23762 24336 24726 25506 26364 28704 29164 30084 30432 31096 31392 32292 32591 32968 34008 34236 34553 34983 35152 35643 36504 36842 37089 38259 39546 40112 43056 43746 45126 45344 45648 46644 47088 47524 48672 49452 50531 51012 52728 53573 55263 58328 59319 60168 62192 64584 65182 65619 65936 67689 68016 68472 69106 69966 70304 71286 73008 73684 74178 76518 79092 80224 86112 87492 90252 91296 93288 94176 94783 95048 97773 98904 101062 102024 103659 104949 105456 106929 107146 110526 111267 116656 118638 120336 124384 129168 130364 131238 131872 135378 136032 136944 138212 139932 142572 146016 147368 148356 151593 153036 154453 158184 160719 165789 174984 180504 186576 189566 190096 195546 196857 197808 202124 204048 207318 209898 210912 213858 214292 221052 222534 233312 237276 239473 240672 258336 260728 262476 270756 273263 273888 276424 279864 284349 285144 293319 294736 296712 303186 306072 308906 310977 316368 320787 321438 331578 349968 361008 373152 379132 380192 391092 393714 395616 404248 408096 414636 419796 423683 427716 428584 442104 445068 449189 454779 463359 474552 478946 482157 497367 521456 524952 541512 546526 552848 559728 568698 570288 586638 589472 593424 606372 612144 617812 621954 632736 641574 642876 663156 696449 699936 718419 722016 758264 782184 787428 794719 808496 819789 829272 839592 847366 853047 855432 857168 879957 884208 890136 898378 909558 926718 932931 949104 957892 964314 994734 1042912 1049904 1083024 1093052 1105696 1119456 1137396 1140576 1173276 1186848 1212744 1224288 1232179 1235624 1243908 1271049 1283148 1285752 1326312 1347567 1364337 1390077 1392898 1436838 1446471 1516528 1564368 1574856 1589438 1616992 1639578 1658544 1679184 1694732 1706094 1710864 1714336 1759914 1768416 1780272 1796756 1819116 1853436 1865862 1898208 1915784 1928628 1989468 2007889 2089347 2099808 2155257 2166048 2186104 2274792 2346552 2384157 2425488 2459367 2464358 2471248 2487816 2542098 2559141 2566296 2571504 2652624 2695134 2728674 2780154 2785796 2873676 2892942 3033056 3128736 3149712 3178876 3279156 3317088 3358368 3389464 3412188 3421728 3519828 3552419 3560544 3593512 3638232 3696537 3706872 3731724 3766277 3813147 3831568 3857256 3978936 4015778 4042701 4170231 4178694 4310514 4372208 4549584 4693104 4768314 4850976 4918734 4928716 4942496 4975632 5084196 5118282 5132592 5143008 5305248 5390268 5457348 5507879 5560308 5571592 5747352 5785884 5839457 6023667 6268041 6299424 6357752 6465771 6558312 6778928 6824376 7039656 7104838 7152471 7187024 7276464 7378101 7393074 7413744 7463448 7532554 7626294 7663136 7714512 7957872 8031556 8085402 8340462 8357388 8621028 8744416 9099168 9386208 9536628 9837468 9857432 9951264 10168392 10236564 10265184 10331347 10657257 10780536 10914696 11015758 11089611 11120616 11143184 11298831 11439441 11494704 11571768 11678914 12047334 12128103 12536082 12715504 12931542 13116624 13557856 13648752 14079312 14209676 14304942 14374048 14552928 14756202 14786148 14827488 14926896 15065108 15252588 15429024 15915744 16018327 16063112 16170804 16523637 16680924 16714776 17242056 17518371 18071001 18804123 19073256 19674936 19714864 20336784 20473128 20662694 21314514 21457413 21561072 21829392 22031516 22179222 22241232 22286368 22597662 22878882 22989408 23143536 23357828 24094668 24256206 25072164 25431008 25863084 26102557 26233248 27297504 28158624 28419352 28609884 29512404 29572296 29853792 30130216 30505176 30994041 31971771 32036654 32126224 32341608 33047274 33268833 33361848 33429552 33896493 34484112 35036742 36142002 37608246 38146512 39349872 39429728 40673568 40946256 41325388 42629028 42914826 43122144 43658784 44063032 44358444 44482464 45195324 45757764 46181447 46287072 46715656 48054981 48189336 48512412 48961601 49570911 50144328 51726168 52205114 52555113 54213003 56838704 57219768 59024808 59144592 60260432 61010352 61988082 63943542 64073308 64252448 64683216 66094548 66537666 66723696 66859104 67792986 68968224 70073484 72284004 75216492 75912941 76293024 78307671 78699744 81892512 82650776 85258056 85829652 86624371 88126064 88716888 90390648 91515528 92362894 92982123 93431312 95915313 96109962 96378672 97024824 97923202 99141822 100288656 101689479 103452336 104410228 105110226 108426006 113677408 114439536 118049616 118289184 120520864 122020704 123976164 127887084 128146616 129366432 132189096 133075332 133447392 134307511 135585972 138544341 140146968 144164943 144568008 146884803 148712733 150432984 151825882 156615342 157665339 165301552 170516112 171659304 173248742 176252128 177433776 180781296 183031056 184725788 185964246 186862624 191830626 192219924 192757344 194049648 195846404 198283644 200577312 203378958 206904672 208820456 210220452 216852012 227738823 228879072 234923013 236099232 247952328 255774168 256293232 259873113 264378192 266150664 268615022 271171944 277088682 278946369 280293936 288329886 289136016 293769606 297425466 300865968 303651764 313230684 315330678 330603104 341032224 343318608 346497484 354867552 361562592 366062112 369451576 371928492 383661252 384439848 388099296 391692808 396567288 402922533 406757916 415633023 417640912 420440904 432494829 433704024 440654409 455477646 469846026 495904656 511548336 512586464 519746226 528756384 532301328 537230044 542343888 554177364 557892738 560587872 576659772 578272032 587539212 594850932 600358811 601731936 607303528 626461368 630661356 636500813 683216469 686637216 692994968 704769039 738903152 743856984 767322504 768879696 779619339 783385616 793134576 805845066 813515832 831266046 835281824 840881808 864989658 867408048 881308818 910955292 939692052 991809312 1023096672 1039492452 1064602656 1074460088 1084687776 1108354728 1115785476 1126116823 1153319544 1175078424 1189701864 1200717622 1208767599 1214607056 1246899069 1252922736 1261322712 1273001626 1321963227 1366432938 1385989936 1409538078 1477806304 1487713968 1534645008 1537759392 1559238678 1566771232 1586269152 1611690132 1627031664 1662532092 1681763616 1729979316 1734816096 1745997643 1762617636 1801076433 1821910584 1879384104 1909502439 2049649407 2078984904 2148920176 2216709456 2231570952 2252233646 2306639088 2338858017 2350156848 2379403728 2401435244 2417535198 2429214112 2493798138 2505845472 2522645424 2546003252 2643926454 2732865876 2771979872 2819076156 2975427936 3069290016 3118477356 3223380264 3254063328 3325064184 3378350469 3459958632 3491995286 3525235272 3602152866 3626302797 3643821168 3758768208 3819004878 4099298814 4157969808 4297840352 4433418912 4463141904 4504467292 4613278176 4677716034 4700313696 4758807456 4802870488 4835070396 4987596276 5045290848 5092006504 5237992929 5287852908 5403229299 5465731752 5638152312 5728507317 6236954712 6446760528 6650128368 6756700938 6919917264 6983990572 7050470544 7204305732 7252605594 7287642336 7517536416 7638009756 8198597628 8274510569 8315939616 8926283808 9008934584 9355432068 9605740976 9670140792 9975192552 10135051407 10184013008 10475985858 10575705816 10806458598 10931463504 11276304624 11457014634 12473909424 12893521056 13300256736 13513401876 13839834528 13967981144 14100941088 14408611464 14505211188 14639518699 15276019512 15713978787 16209687897 16397195256 16549021138 17185521951 18017869168 18710864136 19211481952 19340281584 19950385104 20270102814 20368026016 20951971716 21151411632 21612917196 21862927008 22552609248 22914029268 24823531707 24947818848 27026803752 27935962288 28817222928 29010422376 29279037398 30405154221 30552039024 31427957574 32419375794 32794390512 33098042276 34371043902 36035738336 37421728272 38680563168 39900770208 40540205628 41903943432 42302823264 43225834392 43918556097 45828058536 47141936361 49647063414 54053607504 55871924576 57634445856 58020844752 58558074796 60810308442 61104078048 62855915148 64838751588 65588781024 66196084552 68742087804 74470595121 74843456544 81080411256 83807886864 86451668784 87837112194 91656117072 94283872722 99294126828 108107215008 116041689504 117116149592 121620616884 125711830296 129677503176 131755668291 132392169104 137484175608 148941190242 162160822512 167615773728 172903337568 175674224388 183312234144 188567745444 190313743087 198588253656 223411785363 234232299184 243241233768 251423660592 259355006352 263511336582 264784338208 274968351216 297882380484 324321645024 351348448776 377135490888 380627486174 395267004873 397176507312 446823570726 468464598368 486482467536 502847321184 518710012704 527022673164 549936702432 570941229261 595764760968 702696897552 754270981776 761254972348 790534009746 794353014624 893647141452 972964935072 1054045346328 1141882458522 1191529521936 1405393795104 1508541963552 1522509944696 1581068019492 1712823687783 1787294282904 2108090692656 2283764917044 2383059043872 3045019889392 3162136038984 3425647375566 3574588565808 4216181385312 4567529834088 5138471063349 6090039778784 6324272077968 6851294751132 7149177131616 9135059668176 10276942126698 12648544155936 13702589502264 18270119336352 20553884253396 27405179004528 41107768506792 54810358009056 82215537013584 164431074027168
- Sum of all divisors σ(n): 548872235251200
- Sum of proper divisors (its aliquot sum) s(n): 384441161224032
- 164431074027168 is an abundant number, because the sum of its proper divisors (384441161224032) is greater than itself. Its abundance is 220010087196864
Bases of 164431074027168
- Binary: 1001010110001100100101111100000111100110101000002
- Hexadecimal: 0x958C97C1E6A0
- Base-36: 1MAALBZOO0
Squares and roots of 164431074027168
- 164431074027168 squared (1644310740271682) is 27037578105728002837602100224
- 164431074027168 cubed (1644310740271683) is 4445818007018297980438379305579934434885632
-
The
square root of 164431074027168 is 12823068.0426787099 -
The
cube root of 164431074027168 is 54784.9535594125
Scales and comparisons
How big is 164431074027168?- 164,431,074,027,168 seconds is equal to 5,228,399 years, 27 weeks, 5 days, 20 hours, 52 minutes, 48 seconds.
-
To count from 1 to 164,431,074,027,168 would take you about thirteen million, seventy thousand, nine hundred ninety-eight 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 164431074027168 cubic inches would be around 4565.4 feet tall.
Recreational maths with 164431074027168
- 164431074027168 backwards is 861720470134461
- 164431074027168 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 164431074027168's digits is 54
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 164431074027168 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
APA style:
Numbermatics. (2024). Number 164431074027168 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/164431074027168/
Chicago style:
Numbermatics. 2024. "Number 164431074027168 - Facts about the integer". https://numbermatics.com/n/164431074027168/
The information we have on file for 164431074027168 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!
Keywords: Divisors of 164431074027168, math, Factors of 164431074027168, curriculum, school, college, exams, university, Prime factorization of 164431074027168, STEM, science, technology, engineering, physics, economics, calculator, one hundred sixty-four trillion, four hundred thirty-one billion, seventy-four million, twenty-seven thousand, one hundred sixty-eight.