146106412962787200
146,106,412,962,787,200 is an even composite number composed of six prime numbers multiplied together.
146106412962787200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 146106412962787200:
27 × 3 × 52 × 73 × 11 × 4033771009
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 7 × 11 × 4033771009)See below for interesting mathematical facts about the number 146106412962787200 from the Numbermatics database.
Names of 146106412962787200
- Cardinal: 146106412962787200 can be written as One hundred forty-six quadrillion, one hundred six trillion, four hundred twelve billion, nine hundred sixty-two million, seven hundred eighty-seven thousand, two hundred.
Scientific notation
- Scientific notation: 1.461064129627872 × 1017
Factors of 146106412962787200
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 4033771037
Divisors of 146106412962787200
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 30 32 33 35 40 42 44 48 49 50 55 56 60 64 66 70 75 77 80 84 88 96 98 100 105 110 112 120 128 132 140 147 150 154 160 165 168 175 176 192 196 200 210 220 224 231 240 245 264 275 280 294 300 308 320 330 336 343 350 352 384 385 392 400 420 440 448 462 480 490 525 528 539 550 560 588 600 616 640 660 672 686 700 704 735 770 784 800 825 840 880 896 924 960 980 1029 1050 1056 1078 1100 1120 1155 1176 1200 1225 1232 1320 1344 1372 1400 1408 1470 1540 1568 1600 1617 1650 1680 1715 1760 1848 1920 1925 1960 2058 2100 2112 2156 2200 2240 2310 2352 2400 2450 2464 2640 2688 2695 2744 2800 2940 3080 3136 3200 3234 3300 3360 3430 3520 3675 3696 3773 3850 3920 4116 4200 4224 4312 4400 4480 4620 4704 4800 4900 4928 5145 5280 5390 5488 5600 5775 5880 6160 6272 6468 6600 6720 6860 7040 7350 7392 7546 7700 7840 8085 8232 8400 8575 8624 8800 9240 9408 9600 9800 9856 10290 10560 10780 10976 11200 11319 11550 11760 12320 12936 13200 13440 13475 13720 14700 14784 15092 15400 15680 16170 16464 16800 17150 17248 17600 18480 18816 18865 19600 20580 21120 21560 21952 22400 22638 23100 23520 24640 25725 25872 26400 26950 27440 29400 29568 30184 30800 31360 32340 32928 33600 34300 34496 35200 36960 37730 39200 40425 41160 43120 43904 45276 46200 47040 49280 51450 51744 52800 53900 54880 56595 58800 60368 61600 64680 65856 67200 68600 68992 73920 75460 78400 80850 82320 86240 90552 92400 94080 94325 102900 103488 105600 107800 109760 113190 117600 120736 123200 129360 131712 137200 147840 150920 156800 161700 164640 172480 181104 184800 188650 205800 206976 215600 219520 226380 235200 241472 246400 258720 274400 282975 301840 323400 329280 344960 362208 369600 377300 411600 431200 452760 470400 482944 517440 548800 565950 603680 646800 658560 724416 739200 754600 823200 862400 905520 1034880 1097600 1131900 1207360 1293600 1448832 1509200 1646400 1724800 1811040 2263800 2414720 2587200 3018400 3292800 3622080 4527600 5174400 6036800 7244160 9055200 12073600 18110400 36220800 4033771009 8067542018 12101313027 16135084036 20168855045 24202626054 28236397063 32270168072 40337710090 44371481099 48405252108 56472794126 60506565135 64540336144 80675420180 84709191189 88742962198 96810504216 100844275225 112945588252 121013130270 129080672288 133114443297 141181985315 161350840360 169418382378 177485924396 193621008432 197654779441 201688550450 221857405495 225891176504 242026260540 258161344576 266228886594 282363970630 302532825675 310600367693 322701680720 338836764756 354971848792 387242016864 395309558882 403377100900 423545955945 443714810990 451782353008 484052521080 516322689152 532457773188 564727941260 592964338323 605065651350 621200735386 645403361440 665572216485 677673529512 705909926575 709943697584 774484033728 790619117764 806754201800 847091911890 887429621980 903564706016 931801103079 968105042160 988273897205 1064915546376 1109287027475 1129455882520 1185928676646 1210131302700 1242401470772 1290806722880 1331144432970 1355347059024 1383583456087 1411819853150 1419887395168 1548968067456 1553001838465 1581238235528 1613508403600 1694183823780 1774859243960 1807129412032 1863602206158 1936210084320 1976547794410 2117729779725 2129831092752 2174202573851 2218574054950 2258911765040 2371857353292 2420262605400 2484802941544 2581613445760 2662288865940 2710694118048 2767166912174 2823639706300 2839774790336 2964821691615 3106003676930 3162476471056 3227016807200 3327861082425 3388367647560 3549718487920 3614258824064 3727204412316 3872420168640 3953095588820 4150750368261 4235459559450 4259662185504 4348405147702 4437148109900 4517823530080 4659005515395 4743714706584 4840525210800 4941369486025 4969605883088 5324577731880 5421388236096 5534333824348 5647279412600 5679549580672 5929643383230 6212007353860 6324952942112 6454033614400 6522607721553 6655722164850 6776735295120 6917917280435 7099436975840 7454408824632 7744840337280 7765009192325 7906191177640 8301500736522 8470919118900 8519324371008 8696810295404 8874296219800 9035647060160 9318011030790 9487429413168 9681050421600 9882738972050 9939211766176 10649155463760 10842776472192 10871012869255 11068667648696 11294558825200 11859286766460 12424014707720 12649905884224 12908067228800 13045215443106 13311444329700 13553470590240 13835834560870 14198873951680 14824108458075 14908817649264 15219418016957 15530018384650 15812382355280 16603001473044 16941838237800 17038648742016 17393620590808 17748592439600 18071294120320 18636022061580 18974858826336 19362100843200 19765477944100 19878423532352 20753751841305 21298310927520 21742025738510 22137335297392 22589117650400 23295027576975 23718573532920 24848029415440 25299811768448 26090430886212 26622888659400 27106941180480 27671669121740 28397747903360 29648216916150 29817635298528 30438836033914 31060036769300 31624764710560 32613038607765 33206002946088 33883676475600 34589586402175 34787241181616 35497184879200 37272044123160 37949717652672 38724201686400 39530955888200 39756847064704 41507503682610 42596621855040 43484051477020 44274670594784 45178235300800 45658254050871 46590055153950 47437147065840 49696058830880 52180861772424 53245777318800 54213882360960 54355064346275 55343338243480 59296433832300 59635270597056 60877672067828 62120073538600 63249529421120 65226077215530 66412005892176 67767352951200 69179172804350 69574482363232 70994369758400 74544088246320 75899435305344 76097090084785 79061911776400 83015007365220 85193243710080 86968102954040 88549341189568 90356470601600 91316508101742 93180110307900 94874294131680 99392117661760 103768759206525 104361723544848 106491554637600 108710128692550 110686676486960 118592867664600 119270541194112 121755344135656 124240147077200 126499058842240 130452154431060 132824011784352 135534705902400 138358345608700 139148964726464 141988739516800 149088176492640 152194180169570 158123823552800 163065193038825 166030014730440 173936205908080 177098682379136 182633016203484 186360220615800 189748588263360 198784235323520 207537518413050 208723447089696 212983109275200 217420257385100 221373352973920 228291270254355 237185735329200 243510688271312 248480294154400 260904308862120 265648023568704 271069411804800 276716691217400 278297929452928 298176352985280 304388360339140 316247647105600 326130386077650 332060029460880 347872411816160 365266032406968 372720441231600 379497176526720 380485450423925 415075036826100 417446894179392 425966218550400 434840514770200 442746705947840 456582540508710 474371470658400 487021376542624 496960588308800 521808617724240 531296047137408 553433382434800 596352705970560 608776720678280 632495294211200 652260772155300 664120058921760 695744823632320 730532064813936 745440882463200 760970900847850 830150073652200 834893788358784 869681029540400 885493411895680 913165081017420 948742941316800 974042753085248 993921176617600 1043617235448480 1106866764869600 1141456351271775 1217553441356560 1304521544310600 1328240117843520 1391489647264640 1461064129627872 1490881764926400 1521941801695700 1660300147304400 1739362059080800 1826330162034840 1897485882633600 1948085506170496 2087234470896960 2213733529739200 2282912702543550 2435106882713120 2609043088621200 2656480235687040 2922128259255744 2981763529852800 3043883603391400 3320600294608800 3478724118161600 3652660324069680 4174468941793920 4427467059478400 4565825405087100 4870213765426240 5218086177242400 5844256518511488 6087767206782800 6641200589217600 6957448236323200 7305320648139360 9131650810174200 9740427530852480 10436172354484800 12175534413565600 13282401178435200 14610641296278720 18263301620348400 20872344708969600 24351068827131200 29221282592557440 36526603240696800 48702137654262400 73053206481393600 146106412962787200
- Sum of all divisors σ(n): 612229628813760000
- Sum of proper divisors (its aliquot sum) s(n): 466123215850972800
- 146106412962787200 is an abundant number, because the sum of its proper divisors (466123215850972800) is greater than itself. Its abundance is 320016802888185600
Bases of 146106412962787200
- Binary: 10000001110001001100000010001011000000110110101111100000002
- Hexadecimal: 0x20713022C0DAF80
- Base-36: 13YMEFIA911C
Squares and roots of 146106412962787200
- 146106412962787200 squared (1461064129627872002) is 21347083908852511550011992483840000
- 146106412962787200 cubed (1461064129627872003) is 3118945857138074644529975586988536592017358848000000
-
The
square root of 146106412962787200 is 382238685.8532076943 -
The
cube root of 146106412962787200 is 526691.6414475111
Scales and comparisons
How big is 146106412962787200?- 146,106,412,962,787,200 seconds is equal to 4,645,731,995 years, 21 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 146,106,412,962,787,200 would take you about thirteen billion, nine hundred thirty-seven million, one hundred ninety-five thousand, nine hundred eighty-six 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 146106412962787200 cubic inches would be around 43891 feet tall.
Recreational maths with 146106412962787200
- 146106412962787200 backwards is 002787269214601641
- 146106412962787200 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 146106412962787200's digits is 66
- More coming soon!
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The information we have on file for 146106412962787200 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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