146427847742145312
146,427,847,742,145,312 is an even composite number composed of four prime numbers multiplied together.
What does the number 146427847742145312 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 882 divisors.
146427847742145312 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eight hundred eighty-two divisors.
Prime factorization of 146427847742145312:
25 × 36 × 72 × 716
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 71 × 71 × 71 × 71 × 71 × 71)See below for interesting mathematical facts about the number 146427847742145312 from the Numbermatics database.
Names of 146427847742145312
- Cardinal: 146427847742145312 can be written as One hundred forty-six quadrillion, four hundred twenty-seven trillion, eight hundred forty-seven billion, seven hundred forty-two million, one hundred forty-five thousand, three hundred twelve.
Scientific notation
- Scientific notation: 1.46427847742145312 × 1017
Factors of 146427847742145312
Divisors of 146427847742145312
- Number of divisors d(n): 882
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 71 72 81 84 96 98 108 112 126 142 144 147 162 168 189 196 213 216 224 243 252 284 288 294 324 336 378 392 426 432 441 486 497 504 567 568 588 639 648 672 729 756 784 852 864 882 972 994 1008 1134 1136 1176 1278 1296 1323 1458 1491 1512 1568 1701 1704 1764 1917 1944 1988 2016 2268 2272 2352 2556 2592 2646 2916 2982 3024 3402 3408 3479 3528 3834 3888 3969 3976 4473 4536 4704 5041 5103 5112 5292 5751 5832 5964 6048 6804 6816 6958 7056 7668 7776 7938 7952 8946 9072 10082 10206 10224 10437 10584 11502 11664 11907 11928 13419 13608 13916 14112 15123 15336 15876 15904 17253 17892 18144 20164 20412 20448 20874 21168 23004 23328 23814 23856 26838 27216 27832 30246 30672 31311 31752 34506 35287 35721 35784 40257 40328 40824 41748 42336 45369 46008 47628 47712 51759 53676 54432 55664 60492 61344 62622 63504 69012 70574 71442 71568 80514 80656 81648 83496 90738 92016 93933 95256 103518 105861 107352 111328 120771 120984 125244 127008 136107 138024 141148 142884 143136 161028 161312 163296 166992 181476 184032 187866 190512 207036 211722 214704 241542 241968 247009 250488 272214 276048 281799 282296 285768 317583 322056 333984 357911 362313 362952 375732 381024 408321 414072 423444 429408 483084 483936 494018 500976 544428 552096 563598 564592 571536 635166 644112 715822 724626 725904 741027 751464 816642 828144 845397 846888 952749 966168 988036 1001952 1073733 1088856 1127196 1129184 1143072 1224963 1270332 1288224 1431644 1449252 1451808 1482054 1502928 1633284 1656288 1690794 1693776 1905498 1932336 1976072 2147466 2177712 2223081 2254392 2449926 2505377 2536191 2540664 2858247 2863288 2898504 2964108 3005856 3221199 3266568 3381588 3387552 3674889 3810996 3864672 3952144 4294932 4355424 4446162 4508784 4899852 5010754 5072382 5081328 5716494 5726576 5797008 5928216 6442398 6533136 6669243 6763176 7349778 7516131 7621992 7904288 8574741 8589864 8892324 9017568 9663597 9799704 10021508 10144764 10162656 11432988 11453152 11594016 11856432 12884796 13066272 13338486 13526352 14699556 15032262 15243984 17149482 17179728 17537639 17784648 19327194 19599408 20007729 20043016 20289528 22548393 22865976 23712864 25411681 25724223 25769592 26676972 27052704 28990791 29399112 30064524 30487968 34298964 34359456 35075278 35569296 38654388 39198816 40015458 40086032 40579056 45096786 45731952 50823362 51448446 51539184 52612917 53353944 57981582 58798224 60023187 60129048 67645179 68597928 70150556 71138592 76235043 77308776 80030916 80172064 81158112 86972373 90193572 91463904 101646724 102896892 103078368 105225834 106707888 115963164 117596448 120046374 120258096 135290358 137195856 140301112 152470086 154617552 157838751 160061832 173944746 177881767 180069561 180387144 202935537 203293448 205793784 210451668 213415776 228705129 231926328 240092748 240516192 260917119 270580716 274391712 280602224 304940172 309235104 315677502 320123664 347889492 355763534 360139122 360774288 405871074 406586896 411587568 420903336 457410258 463852656 473516253 480185496 521834238 533645301 541161432 561204448 608806611 609880344 631355004 640247328 686115387 695778984 711527068 720278244 721548576 811742148 813173792 823175136 841806672 914820516 927705312 947032506 960370992 1043668476 1067290602 1082322864 1217613222 1219760688 1245172369 1262710008 1372230774 1391557968 1420548759 1423054136 1440556488 1600935903 1623484296 1683613344 1804229351 1826419833 1829641032 1894065012 1920741984 2058346161 2087336952 2134581204 2164645728 2435226444 2439521376 2490344738 2525420016 2744461548 2783115936 2841097518 2846108272 2881112976 3201871806 3246968592 3608458702 3652839666 3659282064 3735517107 3788130024 4116692322 4174673904 4261646277 4269162408 4802807709 4870452888 4980689476 5050840032 5412688053 5488923096 5682195036 5692216544 5762225952 6175038483 6403743612 6493937184 7216917404 7305679332 7318564128 7471034214 7576260048 8233384644 8349347808 8523292554 8538324816 9605615418 9740905776 9961378952 10825376106 10977846192 11206551321 11364390072 12350076966 12629605457 12784938831 12807487224 14408423127 14433834808 14611358664 14942068428 15152520096 16238064159 16466769288 17046585108 17076649632 18525115449 19211230836 19481811552 19922757904 21650752212 21955692384 22413102642 22728780144 24700153932 25259210914 25569877662 25614974448 28816846254 28867669616 29222717328 29884136856 32476128318 32933538576 33619653963 34093170216 37050230898 37888816371 38422461672 39845515808 43225269381 43301504424 44826205284 45457560288 48714192477 49400307864 50518421828 51139755324 51229948896 57633692508 57735339232 58445434656 59768273712 64952256636 65867077152 67239307926 68186340432 74100461796 75777632742 76844923344 86450538762 86603008848 88407238199 89652410568 97428384954 98800615728 100858961889 101036843656 102279510648 113666449113 115267385016 119536547424 128100283921 129675808143 129904513272 134478615852 136372680864 146142577431 148200923592 151555265484 153689846688 172901077524 173206017696 176814476398 179304821136 194856769908 197601231456 201717923778 202073687312 204559021296 227332898226 230534770032 256200567842 259351616286 259809026544 265221714597 268957231704 292285154862 296401847184 302576885667 303110530968 340999347339 345802155048 353628952796 358609642272 384300851763 389713539816 403435847556 404147374624 409118042592 438427732293 454665796452 461069540064 512401135684 518703232572 519618053088 530443429194 537914463408 584570309724 592803694368 605153771334 606221061936 681998694678 691604310096 707257905592 768601703526 779427079632 795665143791 806871695112 876855464586 896701987447 907730657001 909331592904 1022998042017 1024802271368 1037406465144 1060886858388 1075828926816 1152902555289 1169140619448 1210307542668 1212442123872 1315283196879 1363997389356 1383208620192 1414515811184 1537203407052 1558854159264 1591330287582 1613743390224 1753710929172 1793403974894 1815461314002 1818663185808 2045996084034 2049604542736 2074812930288 2121773716776 2305805110578 2338281238896 2386995431373 2420615085336 2630566393758 2690105962341 2727994778712 2829031622368 3068994126051 3074406814104 3182660575164 3227486780448 3458707665867 3507421858344 3586807949788 3630922628004 3637326371616 4091992168068 4099209085472 4149625860576 4243547433552 4611610221156 4676562477792 4773990862746 4841230170672 5261132787516 5380211924682 5455989557424 6137988252102 6148813628208 6276913912129 6365321150328 6917415331734 7014843716688 7160986294119 7173615899576 7261845256008 8070317887023 8183984336136 8487094867104 9206982378153 9223220442312 9547981725492 9682460341344 10376122997601 10522265575032 10760423849364 10911979114848 12275976504204 12297627256416 12553827824258 12730642300656 13834830663468 14029687433376 14321972588238 14347231799152 14523690512016 16140635774046 16367968672272 18413964756306 18446440884624 18830741736387 19095963450984 20752245995202 21044531150064 21482958882357 21520847698728 24210953661069 24551953008408 25107655648516 25461284601312 27669661326936 28643945176476 28694463598304 29047381024032 31128368992803 32281271548092 32735937344544 36827929512612 36892881769248 37661483472774 38191926901968 41504491990404 42089062300128 42965917764714 43041695397456 48421907322138 49103906016816 50215311297032 55339322653872 56492225209161 57287890352952 62256737985606 64448876647071 64562543096184 72632860983207 73655859025224 75322966945548 76383853803936 83008983980808 85931835529428 86083390794912 93385106978409 96843814644276 98207812033632 100430622594064 110678645307744 112984450418322 114575780705904 124513475971212 128897753294142 129125086192368 145265721966414 147311718050448 150645933891096 166017967961616 169476675627483 171863671058856 186770213956818 193687629288552 200861245188128 217898582949621 225968900836644 229151561411808 249026951942424 257795506588284 258250172384736 290531443932828 294623436100896 301291867782192 332035935923232 338953351254966 343727342117712 373540427913636 387375258577104 435797165899242 451937801673288 498053903884848 508430026882449 515591013176568 581062887865656 602583735564384 653695748848863 677906702509932 687454684235424 747080855827272 774750517154208 871594331798484 903875603346576 996107807769696 1016860053764898 1031182026353136 1162125775731312 1307391497697726 1355813405019864 1494161711654544 1525290080647347 1743188663596968 1807751206693152 2033720107529796 2062364052706272 2324251551462624 2614782995395452 2711626810039728 2988323423309088 3050580161294694 3486377327193936 4067440215059592 4575870241942041 5229565990790904 5423253620079456 6101160322589388 6972754654387872 8134880430119184 9151740483884082 10459131981581808 12202320645178776 16269760860238368 18303480967768164 20918263963163616 24404641290357552 36606961935536328 48809282580715104 73213923871072656 146427847742145312
- Sum of all divisors σ(n): 509971572889069851
- Sum of proper divisors (its aliquot sum) s(n): 363543725146924539
- 146427847742145312 is an abundant number, because the sum of its proper divisors (363543725146924539) is greater than itself. Its abundance is 217115877404779227
Bases of 146427847742145312
- Binary: 10000010000011011101011010000010011110010101000011001000002
- Hexadecimal: 0x208375A09E54320
- Base-36: 141SC8LUOI00
Squares and roots of 146427847742145312
- 146427847742145312 squared (1464278477421453122) is 21441114594396889945386192123577344
- 146427847742145312 cubed (1464278477421453123) is 3139576263250237538485281036532086933942618519011328
-
The
square root of 146427847742145312 is 382658918.2838227173 -
The
cube root of 146427847742145312 is 527077.5998921033 - Being both a perfect square and a perfect cube, 146427847742145312 is also a
perfect sixth number .
Scales and comparisons
How big is 146427847742145312?- 146,427,847,742,145,312 seconds is equal to 4,655,952,627 years, 6 weeks, 4 days, 19 hours, 55 minutes, 12 seconds.
-
To count from 1 to 146,427,847,742,145,312 would take you about thirteen billion, nine hundred sixty-seven million, eight hundred fifty-seven thousand, eight hundred eighty-one 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 146427847742145312 cubic inches would be around 43923.1 feet tall.
Recreational maths with 146427847742145312
- 146427847742145312 backwards is 213541247748724641
- 146427847742145312 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 146427847742145312's digits is 72
- More coming soon!
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The information we have on file for 146427847742145312 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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