164408444606406
164,408,444,606,406 is an even composite number composed of six prime numbers multiplied together.
What does the number 164408444606406 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 576 divisors.
164408444606406 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 164408444606406:
2 × 3 × 7 × 113 × 135 × 892
(2 × 3 × 7 × 11 × 11 × 11 × 13 × 13 × 13 × 13 × 13 × 89 × 89)See below for interesting mathematical facts about the number 164408444606406 from the Numbermatics database.
Names of 164408444606406
- Cardinal: 164408444606406 can be written as One hundred sixty-four trillion, four hundred eight billion, four hundred forty-four million, six hundred six thousand, four hundred six.
Scientific notation
- Scientific notation: 1.64408444606406 × 1014
Factors of 164408444606406
Divisors of 164408444606406
- Number of divisors d(n): 576
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Complete list of divisors:
1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 89 91 121 143 154 169 178 182 231 242 267 273 286 338 363 429 462 507 534 546 623 726 847 858 979 1001 1014 1157 1183 1246 1331 1573 1694 1859 1869 1958 2002 2197 2314 2366 2541 2662 2937 3003 3146 3471 3549 3718 3738 3993 4394 4719 5082 5577 5874 6006 6591 6853 6942 7098 7921 7986 8099 9317 9438 10769 11011 11154 12727 13013 13182 13706 15041 15379 15842 16198 17303 18634 20449 20559 21538 22022 23763 24167 24297 25454 26026 27951 28561 30082 30758 32307 33033 34606 38181 39039 40898 41118 45123 46137 47526 48334 48594 51909 55447 55902 57122 61347 64614 66066 72501 75383 76362 78078 85683 87131 89089 90246 92274 102973 103818 105287 110894 118459 121121 122694 139997 143143 145002 150766 165451 166341 169169 171366 174262 178178 195533 199927 205946 210574 224939 226149 236918 242242 261393 265837 267267 279994 286286 308919 314171 315861 330902 332682 338338 355377 363363 371293 391066 399854 419991 429429 449878 452298 496353 507507 522786 531674 534534 586599 599781 609917 617838 628342 631722 674817 710754 720811 726726 742586 797511 829213 839982 858858 942513 958441 979979 992706 1015014 1113879 1132703 1158157 1173198 1199562 1219834 1338649 1349634 1368731 1441622 1539967 1574573 1595022 1658426 1819961 1829751 1860859 1885026 1916882 1959958 2150863 2162433 2199197 2227758 2265406 2316314 2487639 2541929 2599051 2677298 2737462 2875323 2924207 2939937 3079934 3149146 3398109 3455881 3474471 3639922 3659502 3721718 4015947 4084223 4106193 4301726 4324866 4398394 4619901 4723719 4975278 5083858 5198102 5459883 5582577 5750646 5848414 5879874 6452589 6597591 6709087 6796218 6911762 6948942 7625787 7797153 7928921 8031894 8168446 8212386 8772621 9239802 9370543 9447438 10367643 10542851 10779769 10919766 11165154 12252669 12459733 12739727 12905178 13195182 13418174 14725139 15056041 15251574 15594306 15857842 17402437 17545242 17793503 18741086 20019571 20127261 20469449 20735286 21085702 21559538 23659493 23786763 24191167 24505338 24919466 25479454 27961219 28111629 28589561 29450278 30112082 31628553 32339307 33045077 34804874 35587006 37379199 38014691 38219181 40039142 40254522 40938898 44175417 44926453 45168123 47318986 47573526 48382334 52207311 53380509 55922438 56223258 57179122 60058713 61408347 63257106 64678614 66090154 70978479 72573501 73799957 74758398 76029382 76438362 83883657 85768683 87218131 88350834 89852906 90336246 99135231 103075973 104414622 106761018 114044073 120117426 121817059 122816694 134779359 137057063 140136997 141956958 145147002 147599914 161976529 165616451 167767314 171537366 174436262 191426807 195728533 198270462 206151946 221399871 226231681 228088146 231315539 243634118 260254423 261654393 266102837 269558718 274114126 280273994 307573409 309227919 314485171 323953058 331232902 363495847 365451177 382853614 391457066 411171189 420410991 442799742 452463362 462631078 485929587 494190983 496849353 520508846 523308786 532205674 574280421 587185599 615146818 618455838 628970342 678695043 693946617 726991694 730902354 780763269 798308511 822342378 840821982 922720227 943455513 959399441 971859174 988381966 993698706 1090487541 1133835703 1148560842 1174371198 1339987649 1357390086 1387893234 1482572949 1561526538 1583621767 1596617022 1781741819 1821780961 1845440454 1886911026 1918798882 2105694877 2153013863 2180975082 2267671406 2488548491 2544470929 2679975298 2878198323 2941011853 2965145898 3167243534 3383307499 3401507109 3459336881 3563483638 3643561922 3998454317 4019962947 4211389754 4306027726 4750865301 4977096982 5088941858 5345225457 5465342883 5756396646 5882023706 6317084631 6459041589 6766614998 6803014218 6918673762 7465645473 7633412787 7996908634 8039925894 8823035559 9501730602 10149922497 10378010643 10690450914 10930685766 11995362951 12472192733 12634169262 12918083178 14739864139 14931290946 15266825574 17419839437 17646071118 20299844994 20587082971 20756021286 23162643647 23683152493 23990725902 24944385466 27374033401 27989180219 29479728278 32351130383 34839678874 37416578199 41174165942 43982997487 44219592417 46325287294 47366304986 52259518311 54748066802 55978360438 61761248913 64702260766 69487930941 71049457479 74833156398 82122100203 83967540657 87965994974 88439184834 97053391149 104519036622 123522497826 131948992461 138975861882 142098914958 162138505529 164244200406 167935081314 191618233807 194106782298 226457912681 263897984922 301114367411 307880982409 324277011058 355862434213 383236467614 452915825362 486415516587 574854701421 602228734822 615761964818 679373738043 711724868426 903343102233 923642947227 972831033174 1067587302639 1149709402842 1358747476086 1806686204466 1847285894454 2107800571877 2135174605278 2491037039491 3914486776343 4215601143754 4982074078982 6323401715631 7473111118473 7828973552686 11743460329029 12646803431262 14946222236946 23486920658058 27401407434401 54802814868802 82204222303203 164408444606406
- Sum of all divisors σ(n): 452874449696256
- Sum of proper divisors (its aliquot sum) s(n): 288466005089850
- 164408444606406 is an abundant number, because the sum of its proper divisors (288466005089850) is greater than itself. Its abundance is 124057560483444
Bases of 164408444606406
- Binary: 1001010110000111010100101111000001010111110001102
- Hexadecimal: 0x958752F057C6
- Base-36: 1MA0730NUU
Squares and roots of 164408444606406
- 164408444606406 squared (1644084446064062) is 27030136657897670152256236836
- 164408444606406 cubed (1644084446064063) is 4443982725423553311126785553851338738771416
-
The
square root of 164408444606406 is 12822185.6407714671 -
The
cube root of 164408444606406 is 54782.4402294357
Scales and comparisons
How big is 164408444606406?- 164,408,444,606,406 seconds is equal to 5,227,679 years, 51 weeks, 3 days, 6 hours, 40 minutes, 6 seconds.
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To count from 1 to 164,408,444,606,406 would take you about thirteen million, sixty-nine thousand, one hundred ninety-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 164408444606406 cubic inches would be around 4565.2 feet tall.
Recreational maths with 164408444606406
- 164408444606406 backwards is 604606444804461
- The number of decimal digits it has is: 15
- The sum of 164408444606406's digits is 57
- More coming soon!
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