46126138032128
46,126,138,032,128 is an even composite number composed of five prime numbers multiplied together.
46126138032128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 46126138032128:
215 × 7 × 11 × 173 × 612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 17 × 17 × 17 × 61 × 61)See below for interesting mathematical facts about the number 46126138032128 from the Numbermatics database.
Names of 46126138032128
- Cardinal: 46126138032128 can be written as Forty-six trillion, one hundred twenty-six billion, one hundred thirty-eight million, thirty-two thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 4.6126138032128 × 1013
Factors of 46126138032128
Divisors of 46126138032128
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 61 64 68 77 88 112 119 122 128 136 154 176 187 224 238 244 256 272 289 308 352 374 427 448 476 488 512 544 578 616 671 704 748 854 896 952 976 1024 1037 1088 1156 1232 1309 1342 1408 1496 1708 1792 1904 1952 2023 2048 2074 2176 2312 2464 2618 2684 2816 2992 3179 3416 3584 3721 3808 3904 4046 4096 4148 4352 4624 4697 4913 4928 5236 5368 5632 5984 6358 6832 7168 7259 7442 7616 7808 8092 8192 8296 8704 9248 9394 9826 9856 10472 10736 11264 11407 11968 12716 13664 14336 14518 14884 15232 15616 16184 16384 16592 17408 17629 18496 18788 19652 19712 20944 21472 22253 22528 22814 23936 25432 26047 27328 28672 29036 29768 30464 31232 32368 32768 33184 34391 34816 35258 36992 37576 39304 39424 40931 41888 42944 44506 45056 45628 47872 50864 52094 54043 54656 57344 58072 59536 60928 62464 63257 64736 66368 68782 69632 70516 73984 75152 78608 78848 79849 81862 83776 85888 89012 90112 91256 95744 101728 104188 108086 109312 114688 116144 119072 121856 123403 124928 126514 129472 132736 137564 139264 141032 147968 150304 157216 157696 159698 163724 167552 171776 178024 180224 182512 191488 193919 203456 208376 216172 218624 229376 232288 238144 243712 246806 249856 253028 258944 265472 275128 278528 282064 286517 295936 299693 300608 314432 315392 319396 327448 335104 343552 356048 360448 365024 378301 382976 387838 406912 416752 432344 437248 442799 464576 476288 487424 493612 499712 506056 517888 530944 550256 557056 564128 573034 591872 599386 601216 628864 630784 638792 654896 670208 687104 695827 712096 730048 756602 765952 775676 813824 833504 864688 874496 885598 929152 952576 974848 987224 999424 1012112 1035776 1061888 1075369 1100512 1128256 1146068 1183744 1198772 1202432 1257728 1261568 1277584 1309792 1340416 1357433 1374208 1391654 1424192 1460096 1513204 1531904 1551352 1627648 1667008 1729376 1748992 1771196 1858304 1905152 1949696 1974448 1998848 2024224 2071552 2097851 2123776 2150738 2201024 2256512 2292136 2367488 2397544 2404864 2515456 2523136 2555168 2619584 2680832 2714866 2748416 2783308 2848384 2920192 3026408 3063808 3102704 3255296 3296623 3334016 3458752 3497984 3542392 3716608 3810304 3899392 3948896 4048448 4143104 4195702 4247552 4301476 4402048 4513024 4584272 4734976 4795088 4809728 4870789 5030912 5110336 5239168 5361664 5429732 5496832 5566616 5696768 5840384 6052816 6127616 6205408 6510592 6593246 6668032 6917504 6995968 7084784 7433216 7527583 7620608 7897792 8096896 8286208 8391404 8495104 8602952 8804096 9026048 9168544 9469952 9590176 9619456 9741578 10061824 10220672 10478336 10723328 10859464 10993664 11133232 11393536 11680768 11829059 12105632 12410816 13021184 13186492 13336064 13835008 13991936 14169568 14866432 15055166 15241216 15795584 16193792 16572416 16782808 16990208 17205904 17608192 18052096 18281273 18337088 19180352 19238912 19483156 20123648 20441344 20956672 21446656 21718928 21987328 22266464 22787072 23076361 23361536 23658118 24211264 24821632 26042368 26372984 26672128 27670016 28339136 29732864 30110332 30482432 31591168 32387584 33144832 33565616 33980416 34411808 35216384 36104192 36562546 36674176 38360704 38477824 38966312 40247296 40882688 41913344 42893312 43437856 44532928 45574144 46152722 46723072 47316236 48422528 49643264 52084736 52745968 53344256 55340032 56678272 59465728 60220664 60964864 63182336 64775168 66289664 67131232 68823616 70432768 72208384 73125092 73348352 76721408 76955648 77932624 80494592 81765376 82803413 83826688 86875712 89065856 91148288 92305444 93446144 94632472 96845056 99286528 104169472 105491936 106688512 110680064 113356544 118931456 120441328 121929728 126364672 127968911 129550336 134262464 137647232 140865536 144416768 146250184 146696704 153442816 153911296 155865248 160989184 163530752 165606826 167653376 173751424 178131712 182296576 184610888 186892288 189264944 193690112 198573056 201094003 210983872 213377024 221360128 226713088 237862912 240882656 252729344 255937822 259100672 268524928 275294464 281731072 288833536 292500368 293393408 306885632 311730496 327061504 331213652 335306752 347502848 356263424 364593152 369221776 373784576 378529888 387380224 397146112 402188006 421967744 426754048 442720256 453426176 481765312 505458688 511875644 518201344 537049856 550588928 563462144 577667072 585000736 586786816 613771264 623460992 654123008 662427304 670613504 695005696 712526848 729186304 738443552 757059776 774760448 794292224 804376012 843935488 853508096 885440512 906852352 963530624 1010917376 1023751288 1036402688 1074099712 1101177856 1126924288 1170001472 1173573632 1227542528 1246921984 1308246016 1324854608 1341227008 1390011392 1407658021 1425053696 1476887104 1514119552 1549520896 1588584448 1608752024 1687870976 1770881024 1813704704 1927061248 2021834752 2047502576 2072805376 2148199424 2202355712 2340002944 2347147264 2455085056 2493843968 2616492032 2649709216 2780022784 2815316042 2850107392 2953774208 3028239104 3099041792 3177168896 3217504048 3375741952 3627409408 3854122496 4043669504 4095005152 4296398848 4404711424 4680005888 4694294528 4910170112 4987687936 5299418432 5560045568 5630632084 5700214784 5907548416 6056478208 6198083584 6354337792 6435008096 6751483904 7254818816 7708244992 8190010304 8592797696 8809422848 9360011776 9388589056 9820340224 9975375872 10598836864 11120091136 11261264168 11400429568 11815096832 12112956416 12396167168 12870016192 13502967808 14509637632 15416489984 16380020608 17185595392 17618845696 18720023552 19950751744 21197673728 22240182272 22522528336 22800859136 23630193664 24225912832 25740032384 27005935616 30832979968 32760041216 34371190784 35237691392 37440047104 39901503488 42395347456 44480364544 45045056672 47260387328 48451825664 51480064768 54011871232 61665959936 65520082432 68742381568 74880094208 79803006976 84790694912 90090113344 94520774656 96903651328 102960129536 108023742464 123331919872 131040164864 149760188416 159606013952 169581389824 180180226688 189041549312 193807302656 205920259072 246663839744 262080329728 299520376832 339162779648 360360453376 378083098624 387614605312 411840518144 524160659456 599040753664 678325559296 720720906752 756166197248 823681036288 1048321318912 1356651118592 1441441813504 1647362072576 2096642637824 2713302237184 2882883627008 3294724145152 4193285275648 5765767254016 6589448290304 11531534508032 23063069016064 46126138032128
- Sum of all divisors σ(n): 124237121673600
- Sum of proper divisors (its aliquot sum) s(n): 78110983641472
- 46126138032128 is an abundant number, because the sum of its proper divisors (78110983641472) is greater than itself. Its abundance is 31984845609344
Bases of 46126138032128
- Binary: 10100111110011100101000001001010000000000000002
- Hexadecimal: 0x29F394128000
- Base-36: GCM1ZN4ZK
Squares and roots of 46126138032128
- 46126138032128 squared (461261380321282) is 2127620609758925124360208384
- 46126138032128 cubed (461261380321283) is 98138921925740521968240880024585766961152
-
The
square root of 46126138032128 is 6791622.6361693565 -
The
cube root of 46126138032128 is 35863.1994439083
Scales and comparisons
How big is 46126138032128?- 46,126,138,032,128 seconds is equal to 1,466,668 years, 26 weeks, 4 days, 8 hours, 2 minutes, 8 seconds.
-
To count from 1 to 46,126,138,032,128 would take you about three million, six hundred sixty-six thousand, six hundred seventy-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 46126138032128 cubic inches would be around 2988.6 feet tall.
Recreational maths with 46126138032128
- 46126138032128 backwards is 82123083162164
- The number of decimal digits it has is: 14
- The sum of 46126138032128's digits is 47
- More coming soon!
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The information we have on file for 46126138032128 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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