101008931734998144
101,008,931,734,998,144 is an even composite number composed of five prime numbers multiplied together.
101008931734998144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 101008931734998144:
27 × 35 × 11 × 13 × 22709496077
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 11 × 13 × 22709496077)See below for interesting mathematical facts about the number 101008931734998144 from the Numbermatics database.
Names of 101008931734998144
- Cardinal: 101008931734998144 can be written as One hundred one quadrillion, eight trillion, nine hundred thirty-one billion, seven hundred thirty-four million, nine hundred ninety-eight thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.01008931734998144 × 1017
Factors of 101008931734998144
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 22709496106
Divisors of 101008931734998144
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 39 44 48 52 54 64 66 72 78 81 88 96 99 104 108 117 128 132 143 144 156 162 176 192 198 208 216 234 243 264 286 288 297 312 324 351 352 384 396 416 429 432 468 486 528 572 576 594 624 648 702 704 792 832 858 864 891 936 972 1053 1056 1144 1152 1188 1248 1287 1296 1404 1408 1584 1664 1716 1728 1782 1872 1944 2106 2112 2288 2376 2496 2574 2592 2673 2808 3159 3168 3432 3456 3564 3744 3861 3888 4212 4224 4576 4752 4992 5148 5184 5346 5616 6318 6336 6864 7128 7488 7722 7776 8424 9152 9504 10296 10368 10692 11232 11583 12636 12672 13728 14256 14976 15444 15552 16848 18304 19008 20592 21384 22464 23166 25272 27456 28512 30888 31104 33696 34749 38016 41184 42768 44928 46332 50544 54912 57024 61776 67392 69498 82368 85536 92664 101088 114048 123552 134784 138996 164736 171072 185328 202176 247104 277992 342144 370656 404352 494208 555984 741312 1111968 1482624 2223936 4447872 22709496077 45418992154 68128488231 90837984308 136256976462 181675968616 204385464693 249804456847 272513952924 295223449001 363351937232 408770929386 499608913694 545027905848 590446898002 613156394079 726703874464 749413370541 817541858772 885670347003 999217827388 1090055811696 1180893796004 1226312788158 1453407748928 1498826741082 1635083717544 1771340694006 1839469182237 1998435654776 2180111623392 2248240111623 2361787592008 2452625576316 2657011041009 2906815497856 2997653482164 3247457939011 3270167435088 3542681388012 3678938364474 3996871309552 4360223246784 4496480223246 4723575184016 4905251152632 5314022082018 5518407546711 5995306964328 6494915878022 6540334870176 6744720334869 7085362776024 7357876728948 7971033123027 7993742619104 8720446493568 8992960446492 9447150368032 9742373817033 9810502305264 10628044164036 11036815093422 11990613928656 12989831756044 13080669740352 13489440669738 14170725552048 14715753457896 15942066246054 15987485238208 17985920892984 18894300736064 19484747634066 19621004610528 20234161004607 21256088328072 22073630186844 23913099369081 23981227857312 25979663512088 26161339480704 26978881339476 28341451104096 29227121451099 29431506915792 31884132492108 31974970476416 35971841785968 37788601472128 38969495268132 39242009221056 40468322009214 42512176656144 44147260373688 47826198738162 47962455714624 51959327024176 53957762678952 56682902208192 58454242902198 58863013831584 60702483013821 63768264984216 71739298107243 71943683571936 77938990536264 78484018442112 80936644018428 85024353312288 87681364353297 88294520747376 95652397476324 95924911429248 103918654048352 107915525357904 113365804416384 116908485804396 117726027663168 121404966027642 127536529968432 143478596214486 143887367143872 155877981072528 161873288036856 170048706624576 175362728706594 176589041494752 191304794952648 207837308096704 215831050715808 233816971608792 235452055326336 242809932055284 255073059936864 263044093059891 286957192428972 287774734287744 311755962145056 323746576073712 340097413249152 350725457413188 353178082989504 382609589905296 415674616193408 431662101431616 467633943217584 485619864110568 510146119873728 526088186119782 573914384857944 623511924290112 647493152147424 701450914826376 706356165979008 765219179810592 789132279179673 863324202863232 935267886435168 971239728221136 1020292239747456 1052176372239564 1147828769715888 1247023848580224 1294986304294848 1402901829652752 1530438359621184 1578264558359346 1870535772870336 1942479456442272 2104352744479128 2295657539431776 2589972608589696 2805803659305504 3060876719242368 3156529116718692 3741071545740672 3884958912884544 4208705488958256 4591315078863552 5611607318611008 6313058233437384 7769917825769088 8417410977916512 9182630157727104 11223214637222016 12626116466874768 16834821955833024 25252232933749536 33669643911666048 50504465867499072 101008931734998144
- Sum of all divisors σ(n): 354126431561273280
- Sum of proper divisors (its aliquot sum) s(n): 253117499826275136
- 101008931734998144 is an abundant number, because the sum of its proper divisors (253117499826275136) is greater than itself. Its abundance is 152108568091276992
Bases of 101008931734998144
- Binary: 1011001101101101100010110100101110011010011001100100000002
- Hexadecimal: 0x166DB169734CC80
- Base-36: RMKOEN1OO00
Squares and roots of 101008931734998144
- 101008931734998144 squared (1010089317349981442) is 10202804290245515165070399683444736
- 101008931734998144 cubed (1010089317349981443) is 1030574362058955431293740562418088577607284486569984
-
The
square root of 101008931734998144 is 317819023.5574298407 -
The
cube root of 101008931734998144 is 465714.6781562049
Scales and comparisons
How big is 101008931734998144?- 101,008,931,734,998,144 seconds is equal to 3,211,771,588 years, 1 week, 4 days, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 101,008,931,734,998,144 would take you about nine billion, six hundred thirty-five million, three hundred fourteen thousand, seven hundred sixty-four 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 101008931734998144 cubic inches would be around 38809.6 feet tall.
Recreational maths with 101008931734998144
- 101008931734998144 backwards is 441899437139800101
- 101008931734998144 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 101008931734998144's digits is 72
- More coming soon!
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