138558728834566144
138,558,728,834,566,144 is an even composite number composed of five prime numbers multiplied together.
138558728834566144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138558728834566144:
211 × 133 × 173 × 293 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 13 × 13 × 17 × 17 × 17 × 29 × 29 × 29 × 257)See below for interesting mathematical facts about the number 138558728834566144 from the Numbermatics database.
Names of 138558728834566144
- Cardinal: 138558728834566144 can be written as One hundred thirty-eight quadrillion, five hundred fifty-eight trillion, seven hundred twenty-eight billion, eight hundred thirty-four million, five hundred sixty-six thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.38558728834566144 × 1017
Factors of 138558728834566144
Divisors of 138558728834566144
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 4 8 13 16 17 26 29 32 34 52 58 64 68 104 116 128 136 169 208 221 232 256 257 272 289 338 377 416 442 464 493 512 514 544 578 676 754 832 841 884 928 986 1024 1028 1088 1156 1352 1508 1664 1682 1768 1856 1972 2048 2056 2176 2197 2312 2704 2873 3016 3328 3341 3364 3536 3712 3757 3944 4112 4352 4369 4394 4624 4901 4913 5408 5746 6032 6409 6656 6682 6728 7072 7424 7453 7514 7888 8224 8381 8704 8738 8788 9248 9802 9826 10816 10933 11492 12064 12818 13312 13364 13456 14144 14297 14848 14906 15028 15776 16448 16762 17408 17476 17576 18496 19604 19652 21632 21866 22984 24128 24389 25636 26624 26728 26912 28288 28594 29696 29812 30056 31552 32896 33524 34816 34952 35152 36992 37349 39208 39304 43264 43433 43732 45968 48256 48778 48841 51272 53456 53824 56576 56797 57188 59392 59624 60112 63104 63713 63869 65792 67048 69904 70304 73984 74273 74698 78416 78608 83317 86528 86866 87464 91936 96512 96889 97556 97682 102544 106912 107648 108953 113152 113594 114376 119248 120224 126208 126701 127426 127738 131584 134096 139808 140608 142129 142477 147968 148546 149396 156832 157216 166634 173056 173732 174928 183872 185861 193024 193778 195112 195364 205088 213824 215296 216137 217906 226304 227188 228752 238496 240448 243049 252416 253402 254852 255476 263168 268192 279616 281216 284258 284954 295936 297092 298792 313664 314432 317057 333268 346112 347464 349856 367744 371722 386048 387556 390224 390728 410176 414613 427648 430592 432274 435812 452608 454376 457504 476992 480896 486098 504832 506804 509704 510952 526336 536384 559232 562432 564629 568516 569908 591872 594184 597584 627328 628864 634114 634933 666536 694928 699712 735488 738361 743444 772096 775112 780448 781456 820352 829226 830297 855296 861184 864548 871624 908752 915008 953984 961792 965549 972196 1009664 1013608 1019408 1021904 1072768 1083121 1118464 1124864 1129258 1137032 1139816 1188368 1195168 1254656 1257728 1259557 1262641 1268228 1269866 1333072 1389856 1399424 1416389 1470976 1476722 1486888 1550224 1560896 1562912 1640704 1647113 1658452 1660594 1710592 1722368 1729096 1743248 1817504 1830016 1847677 1852201 1907968 1923584 1931098 1944392 2027216 2038816 2043808 2145536 2153917 2166242 2236928 2249728 2258516 2274064 2279632 2376736 2390336 2416193 2509312 2515456 2519114 2525282 2536456 2539732 2666144 2779712 2798848 2809781 2832778 2941952 2953444 2973776 3100448 3121792 3125824 3159637 3281408 3294226 3316904 3321188 3421184 3458192 3486496 3635008 3660032 3674329 3695354 3704402 3815936 3847168 3862196 3888784 4054432 4077632 4087616 4121741 4131833 4291072 4307834 4332484 4473856 4499456 4517032 4548128 4559264 4753472 4780672 4832386 5018624 5030912 5038228 5050564 5072912 5079464 5332288 5389969 5559424 5597696 5619562 5665556 5883904 5906888 5947552 6200896 6243584 6251648 6267973 6319274 6562816 6588452 6633808 6642376 6842368 6916384 6972992 7048421 7270016 7320064 7348658 7390708 7408804 7631872 7694336 7724392 7777568 8108864 8155264 8175232 8243482 8263666 8582144 8615668 8664968 8947712 9034064 9096256 9118528 9506944 9561344 9598693 9664772 10037248 10061824 10076456 10101128 10145824 10158928 10664576 10779938 10793861 11118848 11195392 11239124 11331112 11813776 11895104 12401792 12487168 12503296 12535946 12552137 12638548 13125632 13176904 13267616 13284752 13832768 13945984 14096842 14540032 14640128 14697316 14781416 14817608 15263744 15448784 15555136 16217728 16310528 16350464 16374241 16414333 16486964 16527332 17164288 17231336 17329936 18068128 18192512 18237056 18413057 19013888 19122688 19197386 19329544 20152912 20202256 20291648 20317856 21329152 21412469 21559876 21587722 22237696 22390784 22478248 22662224 23627552 23790208 24078613 24803584 24974336 25006592 25071892 25104274 25277096 26353808 26535232 26569504 27665536 27891968 28000921 28193684 29080064 29280256 29394632 29562832 29635216 30897568 31110272 31410509 32435456 32621056 32700928 32748482 32828666 32973928 33054664 34462672 34659872 36136256 36385024 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440663573792 441742529696 463729714432 466383237632 468205047154 486249460736 487440032768 492712821584 495532189984 516640052032 526502951858 542355167744 543683113472 546794140672 548930055284 570085574656 576252365728 580968774464 605715923072 609885772288 612268138586 635864679424 641068992512 643573168264 648003633056 675606221888 709233680896 710149702912 715038491648 717831610756 745496520704 753560785952 792090053248 797542932992 800658335074 831515350016 881327147584 883485059392 927459428864 932766475264 936410094308 972498921472 974880065536 985425643168 991064379968 1033280104064 1053005903716 1084710335488 1087366226944 1093588281344 1097860110568 1152504731456 1161937548928 1211431846144 1219771544576 1224536277172 1271729358848 1287146336528 1296007266112 1351212443776 1418467361792 1420299405824 1430076983296 1435663221512 1507121571904 1584180106496 1595085865984 1601316670148 1663030700032 1762654295168 1766970118784 1854918857728 1865532950528 1872820188616 1970851286336 1982128759936 2066560208128 2106011807432 2169420670976 2174732453888 2195720221136 2305009462912 2323875097856 2332952734957 2422863692288 2439543089152 2449072554344 2574292673056 2592014532224 2702424887552 2836934723584 2840598811648 2871326443024 3014243143808 3168360212992 3190171731968 3202633340296 3525308590336 3533940237568 3709837715456 3745640377232 3941702572672 3964257519872 3979742900809 4133120416256 4212023614864 4391440442272 4610018925824 4647750195712 4665905469914 4845727384576 4898145108688 5148585346112 5184029064448 5204279177981 5404849775104 5681197623296 5742652886048 6028486287616 6336720425984 6405266680592 7050617180672 7067880475136 7491280754464 7883405145344 7928515039744 7959485801618 8266240832512 8424047229728 8782880884544 9220037851648 9295500391424 9331810939828 9691454769152 9796290217376 10297170692224 10368058128896 10408558355962 10809699550208 11485305772096 12056972575232 12673440851968 12810533361184 14101234361344 14135760950272 14982561508928 15766810290688 15857030079488 15918971603236 16532481665024 16848094459456 17565761769088 18440075703296 18591000782848 18663621879656 19592580434752 20594341384448 20736116257792 20817116711924 21619399100416 22970611544192 24113945150464 25621066722368 28202468722688 28271521900544 29965123017856 31533620581376 31714060158976 31837943206472 33696188918912 35131523538176 36880151406592 37327243759312 39185160869504 41188682768896 41472232515584 41634233423848 45941223088384 48227890300928 51242133444736 59930246035712 63067241162752 63675886412944 67392377837824 67655629313753 70263047076352 74654487518624 78370321739008 82377365537792 83268466847696 91882446176768 102484266889472 119860492071424 127351772825888 134784755675648 135311258627506 140526094152704 149308975037248 156740643478016 164754731075584 166536933695392 183764892353536 204968533778944 239720984142848 254703545651776 269569511351296 270622517255012 281052188305408 298617950074496 313481286956032 333073867390784 367529784707072 409937067557888 479441968285696 509407091303552 539139022702592 541245034510024 597235900148992 626962573912064 666147734781568 819874135115776 1018814182607104 1082490069020048 1194471800297984 1332295469563136 2037628365214208 2164980138040096 2388943600595968 2664590939126272 4075256730428416 4329960276080192 4777887201191936 5329181878252544 8150513460856832 8659920552160384 10658363756505088 17319841104320768 34639682208641536 69279364417283072 138558728834566144
- Sum of all divisors σ(n): 331554111885360000
- Sum of proper divisors (its aliquot sum) s(n): 192995383050793856
- 138558728834566144 is an abundant number, because the sum of its proper divisors (192995383050793856) is greater than itself. Its abundance is 54436654216227712
Bases of 138558728834566144
- Binary: 1111011000100001001101110000001001011011011001000000000002
- Hexadecimal: 0x1EC426E04B6C800
- Base-36: 11WAYXABQJGG
Squares and roots of 138558728834566144
- 138558728834566144 squared (1385587288345661442) is 19198521336250831385510312711028736
- 138558728834566144 cubed (1385587288345661443) is 2660122711854211407815370326321892383085246476713984
-
The
square root of 138558728834566144 is 372234776.4980673377 -
The
cube root of 138558728834566144 is 517461.4051166643
Scales and comparisons
How big is 138558728834566144?- 138,558,728,834,566,144 seconds is equal to 4,405,738,986 years, 33 weeks, 5 days, 19 hours, 29 minutes, 4 seconds.
-
To count from 1 to 138,558,728,834,566,144 would take you about thirteen billion, two hundred seventeen million, two hundred sixteen thousand, nine hundred fifty-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 138558728834566144 cubic inches would be around 43121.8 feet tall.
Recreational maths with 138558728834566144
- 138558728834566144 backwards is 441665438827855831
- The number of decimal digits it has is: 18
- The sum of 138558728834566144's digits is 88
- More coming soon!
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"Number 138558728834566144 - Facts about the integer". Numbermatics.com. 2024. Web. 23 May 2024.
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Numbermatics. (2024). Number 138558728834566144 - Facts about the integer. Retrieved 23 May 2024, from https://numbermatics.com/n/138558728834566144/
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The information we have on file for 138558728834566144 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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