138331444830768
138,331,444,830,768 is an even composite number composed of five prime numbers multiplied together.
138331444830768 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138331444830768:
24 × 33 × 73 × 233 × 2772
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 7 × 23 × 23 × 23 × 277 × 277)See below for interesting mathematical facts about the number 138331444830768 from the Numbermatics database.
Names of 138331444830768
- Cardinal: 138331444830768 can be written as One hundred thirty-eight trillion, three hundred thirty-one billion, four hundred forty-four million, eight hundred thirty thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38331444830768 × 1014
Factors of 138331444830768
Divisors of 138331444830768
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 36 42 46 48 49 54 56 63 69 72 84 92 98 108 112 126 138 144 147 161 168 184 189 196 207 216 252 276 277 294 322 336 343 368 378 392 414 432 441 483 504 529 552 554 588 621 644 686 756 784 828 831 882 966 1008 1029 1058 1104 1108 1127 1176 1242 1288 1323 1372 1449 1512 1587 1656 1662 1764 1932 1939 2058 2116 2216 2254 2352 2484 2493 2576 2646 2744 2898 3024 3087 3174 3312 3324 3381 3528 3703 3864 3878 4116 4232 4347 4432 4508 4761 4968 4986 5292 5488 5796 5817 6174 6348 6371 6648 6762 7056 7406 7479 7728 7756 7889 8232 8464 8694 9016 9261 9522 9936 9972 10143 10584 11109 11592 11634 12167 12348 12696 12742 13296 13524 13573 14283 14812 14958 15512 15778 16464 17388 17451 18032 18522 19044 19113 19944 20286 21168 22218 23184 23268 23667 24334 24696 25392 25484 25921 27048 27146 28566 29624 29916 30429 31024 31556 33327 34776 34902 36501 37044 38088 38226 39888 40572 40719 44436 44597 46536 47334 48668 49392 50968 51842 52353 54096 54292 57132 57339 59248 59832 60858 63112 66654 69552 69804 71001 73002 74088 76176 76452 76729 77763 81144 81438 85169 88872 89194 93072 94668 95011 97336 99981 101936 103684 104706 108584 109503 114264 114678 119664 121716 122157 126224 133308 133791 139608 142002 146004 146533 148176 152904 153458 155526 162288 162876 170338 172017 177744 178388 181447 189336 190022 194672 199962 207368 209412 213003 217168 219006 228528 229356 230187 233289 243432 244314 255507 266616 267582 279216 284004 285033 292008 293066 305808 306916 311052 312179 325752 328509 340676 344034 356776 362894 366471 378672 380044 399924 401373 414736 418824 426006 438012 439599 458712 460374 466578 486864 488628 511014 533232 535164 537103 544341 568008 570066 584016 586132 596183 613832 622104 624358 651504 657018 681352 688068 690561 699867 713552 725788 732942 760088 766521 799848 802746 837648 852012 855099 876024 879198 917424 920748 933156 936537 977256 1022028 1025731 1070328 1074206 1088682 1136016 1140132 1172264 1192366 1204119 1227664 1244208 1248716 1314036 1318797 1362704 1376136 1381122 1399734 1451576 1465884 1520176 1533042 1599696 1605492 1611309 1633023 1704024 1710198 1752048 1758396 1764767 1788549 1841496 1866312 1873074 1954512 2044056 2051462 2071683 2140656 2148412 2177364 2185253 2280264 2299563 2344528 2384732 2408238 2497432 2565297 2628072 2637594 2752272 2762244 2799468 2809611 2903152 2931768 3066084 3077193 3210984 3222618 3266046 3370259 3408048 3420396 3516792 3529534 3577098 3682992 3732624 3746148 3759721 3956391 4088112 4102924 4143366 4173281 4296824 4354728 4370506 4560528 4599126 4769464 4816476 4833927 4899069 4994864 5130594 5256144 5275188 5294301 5365647 5524488 5598936 5619222 5863536 6132168 6154386 6421968 6445236 6532092 6555759 6740518 6840792 7033584 7059068 7154196 7180117 7492296 7519442 7912782 8205848 8286732 8346562 8428833 8593648 8709456 8741012 9198252 9231579 9538928 9632952 9667854 9798138 10110777 10261188 10550376 10588602 10731294 11048976 11197872 11238444 11279163 12264336 12308772 12353369 12519843 12890472 13064184 13111518 13481036 13681584 14118136 14308392 14360234 14501781 14984592 15038884 15825564 15882903 16096941 16411696 16573464 16693124 16857666 17482024 18396504 18463158 19265904 19335708 19596276 19667277 20221554 20522376 21100752 21177204 21462588 21540351 22476888 22558326 23591813 24617544 24706738 25039686 25780944 26128368 26223036 26318047 26962072 27694737 28236272 28616784 28720468 29003562 30077768 30332331 31651128 31765806 32193882 33146928 33386248 33715332 33837489 34964048 36793008 36926316 37060107 37559529 38671416 39192552 39334554 40443108 40589641 41044752 42354408 42925176 43080702 44953776 45116652 47183626 47648709 49235088 49413476 50079372 50260819 52446072 52636094 53924144 55389474 57440936 58007124 59001831 60155536 60664662 63302256 63531612 64387764 64621053 66772496 67430664 67674978 70775439 73852632 74120214 75119058 77342832 78385104 78669108 78954141 80886216 81179282 84708816 85850352 86161404 86473583 90233304 90996993 94367252 95297418 98826952 100158744 100521638 101512467 104892144 105272188 110778948 111180321 112678587 114881872 116014248 118003662 121329324 121768923 127063224 128775528 129242106 134861328 135349956 141550878 147705264 148240428 150238116 150782457 157338216 157908282 161772432 162358564 165142691 172322808 172947166 180466608 181993986 188734504 190594836 193863159 197653904 200317488 201043276 203024934 210544376 212326317 221557896 222360642 225357174 232028496 236007324 236862423 242658648 243537846 254126448 257551056 258484212 259420749 270699912 283101756 284127487 296480856 300476232 301564914 314676432 315816564 324717128 330285382 333540963 344645616 345894332 363987972 365306769 377469008 381189672 387726318 402086552 406049868 421088752 424652634 443115792 444721284 450714348 452347371 472014648 473724846 485317296 487075692 495428073 516968424 518841498 541399824 566203512 568254974 592961712 600952464 603129828 605315081 631633128 636978951 649434256 660570764 667081926 691788664 710587269 727975944 730613538 762379344 775452636 778262247 804173104 812099736 849305268 852382461 889442568 901428696 904694742 933561743 944029296 947449692 974151384 990856146 1033936848 1037682996 1095920307 1132407024 1136509948 1155998837 1206259656 1210630162 1263266256 1273957902 1321141528 1334163852 1357042113 1383577328 1421174538 1455951888 1461227076 1486284219 1550905272 1556524494 1624199472 1698610536 1704764922 1778885136 1802857392 1809389484 1815945243 1867123486 1894899384 1948302768 1981712292 1988892409 2075365992 2191840614 2273019896 2311997674 2334786741 2412519312 2421260324 2547915804 2557147383 2642283056 2668327704 2714084226 2800685229 2842349076 2922454152 2972568438 3101810544 3113048988 3397221072 3409529844 3467996511 3618778968 3631890486 3734246972 3789798768 3963424584 3977784818 4150731984 4383681228 4458852657 4546039792 4623995348 4669573482 4842520648 5095831608 5114294766 5336655408 5428168452 5447835729 5601370458 5684698152 5844908304 5945136876 5966677227 6226097976 6534932201 6819059688 6935993022 7237557936 7263780972 7468493944 7671442149 7926849168 7955569636 8402055687 8767362456 8917705314 9247990696 9339146964 9685041296 10191663216 10228589532 10403989533 10856336904 10895671458 11202740916 11369396304 11890273752 11933354454 12452195952 13069864402 13638119376 13871986044 13922246863 14527561944 14936987888 15342884298 15911139272 16343507187 16804111374 17534724912 17835410628 17900031681 18495981392 18678293928 19604796603 20457179064 20807979066 21712673808 21791342916 22405481832 23780547504 23866708908 25206167061 26139728804 27743972088 27844493726 29055123888 30685768596 31211968599 31822278544 32687014374 33608222748 35670821256 35800063362 37356587856 39209593206 40914358128 41615958132 41766740589 43582685832 44810963664 45744525407 47733417816 50412334122 52279457608 53700095043 55487944176 55688987452 58814389809 61371537192 62423937198 65374028748 67216445496 71341642512 71600126724 78419186412 83231916264 83533481178 87165371664 91489050814 95466835632 100824668244 104558915216 107400190086 111377974904 117628779618 122743074384 124847874396 125300221767 130748057496 134432890992 137233576221 143200253448 156838372824 166463832528 167066962356 176443169427 182978101628 201649336488 214800380172 222755949808 235257559236 249695748792 250600443534 261496114992 274467152442 286400506896 313676745648 320211677849 334133924712 352886338854 365956203256 375900665301 403298672976 411700728663 429600760344 470515118472 499391497584 501200887068 548934304884 640423355698 668267849424 705772677708 731912406512 751801330602 823401457326 859201520688 941030236944 960635033547 1002401774136 1097868609768 1235102185989 1280846711396 1411545355416 1503602661204 1646802914652 1921270067094 2004803548272 2195737219536 2470204371978 2561693422792 2823090710832 2881905100641 3007205322408 3293605829304 3842540134188 4940408743956 5123386845584 5763810201282 6014410644816 6587211658608 7685080268376 8645715301923 9880817487912 11527620402564 15370160536752 17291430603846 19761634975824 23055240805128 34582861207692 46110481610256 69165722415384 138331444830768
- Sum of all divisors σ(n): 485846403840000
- Sum of proper divisors (its aliquot sum) s(n): 347514959009232
- 138331444830768 is an abundant number, because the sum of its proper divisors (347514959009232) is greater than itself. Its abundance is 209183514178464
Bases of 138331444830768
- Binary: 111110111001111110011001010000101100010001100002
- Hexadecimal: 0x7DCFCCA16230
- Base-36: 1D18L6N1O0
Squares and roots of 138331444830768
- 138331444830768 squared (1383314448307682) is 19135588628967810828159469824
- 138331444830768 cubed (1383314448307683) is 2647053622732332195488465589116732282744832
-
The
square root of 138331444830768 is 11761438.8928722493 -
The
cube root of 138331444830768 is 51717.8312002851
Scales and comparisons
How big is 138331444830768?- 138,331,444,830,768 seconds is equal to 4,398,512 years, 3 weeks, 5 hours, 52 minutes, 48 seconds.
-
To count from 1 to 138,331,444,830,768 would take you about ten million, nine hundred ninety-six thousand, two hundred eighty 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 138331444830768 cubic inches would be around 4309.8 feet tall.
Recreational maths with 138331444830768
- 138331444830768 backwards is 867038444133831
- 138331444830768 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138331444830768's digits is 63
- More coming soon!
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The information we have on file for 138331444830768 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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