123380988446304
123,380,988,446,304 is an even composite number composed of six prime numbers multiplied together.
What does the number 123380988446304 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1080 divisors.
123380988446304 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 123380988446304:
25 × 34 × 192 × 292 × 83 × 1889
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 19 × 19 × 29 × 29 × 83 × 1889)See below for interesting mathematical facts about the number 123380988446304 from the Numbermatics database.
Names of 123380988446304
- Cardinal: 123380988446304 can be written as One hundred twenty-three trillion, three hundred eighty billion, nine hundred eighty-eight million, four hundred forty-six thousand, three hundred four.
Scientific notation
- Scientific notation: 1.23380988446304 × 1014
Factors of 123380988446304
Divisors of 123380988446304
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 29 32 36 38 48 54 57 58 72 76 81 83 87 96 108 114 116 144 152 162 166 171 174 216 228 232 249 261 288 304 324 332 342 348 361 432 456 464 498 513 522 551 608 648 664 684 696 722 747 783 841 864 912 928 996 1026 1044 1083 1102 1296 1328 1368 1392 1444 1494 1539 1566 1577 1653 1682 1824 1889 1992 2052 2088 2166 2204 2241 2349 2407 2523 2592 2656 2736 2784 2888 2988 3078 3132 3154 3249 3306 3364 3778 3984 4104 4176 4332 4408 4482 4698 4731 4814 4959 5046 5472 5667 5776 5976 6156 6264 6308 6498 6612 6723 6728 7221 7556 7569 7968 8208 8352 8664 8816 8964 9396 9462 9628 9747 9918 10092 10469 11334 11552 11952 12312 12528 12616 12996 13224 13446 13456 14193 14442 14877 15112 15138 15979 16416 17001 17328 17632 17928 18792 18924 19256 19494 19836 20184 20938 21663 22668 22707 23904 24624 25056 25232 25992 26448 26892 26912 28386 28884 29241 29754 29963 30224 30276 31407 31958 34002 34656 35856 35891 37584 37848 38512 38988 39672 40368 41876 42579 43326 44631 45336 45414 45733 47937 49248 50464 51003 51984 52896 53784 54781 56772 57768 58482 59508 59926 60448 60552 62814 63916 64989 68004 68121 69803 71712 71782 75168 75696 77024 77976 79344 80736 83752 85158 86652 89262 89889 90672 90828 91466 94221 95874 102006 103968 107568 107673 109562 113544 115536 116964 119016 119852 121104 125628 127737 127832 129978 136008 136242 137199 139606 143564 143811 151392 153009 155952 156787 158688 164343 167504 170316 173304 178524 179778 181344 181656 182932 188442 191748 194967 204012 209409 215136 215346 219124 227088 231072 233928 238032 239704 242208 251256 255474 255664 259956 269667 272016 272484 274398 279212 282663 287128 287622 303601 306018 311904 313574 323019 328686 335008 340632 346608 357048 359556 363312 365864 376884 383496 389934 408024 411597 418818 430692 431433 438248 454176 467856 470361 476064 479408 493029 502512 510948 511328 519912 539334 544032 544968 548796 558424 565326 574256 575244 607202 612036 627148 628227 646038 657372 681264 681929 693216 714096 719112 726624 731728 753768 766992 779868 809001 816048 823194 837636 847989 861384 862866 868927 876496 910803 935712 940722 958816 969057 986058 1005024 1021896 1039824 1040839 1078668 1089936 1097592 1116848 1130652 1148512 1150488 1214404 1224072 1234791 1254296 1256454 1292076 1294299 1314744 1326257 1362528 1363858 1411083 1428192 1438224 1463456 1479087 1507536 1533984 1559736 1588649 1618002 1632096 1646388 1675272 1695978 1722768 1725732 1737854 1752992 1821606 1881444 1884681 1938114 1972116 2043792 2045787 2079648 2081678 2157336 2179872 2195184 2233696 2261304 2300976 2427003 2428808 2448144 2469582 2508592 2512908 2584152 2588598 2606781 2629488 2652514 2727716 2732409 2822166 2876448 2907171 2958174 2978953 3015072 3119472 3122517 3177298 3236004 3292776 3350544 3391956 3445536 3451464 3475708 3643212 3704373 3762888 3769362 3876228 3944232 3978771 4087584 4091574 4163356 4233249 4314672 4390368 4437261 4522608 4546823 4601952 4765947 4854006 4857616 4896288 4939164 5017184 5025816 5168304 5177196 5213562 5258976 5305028 5455432 5464818 5644332 5654043 5814342 5916348 5957906 6137361 6238944 6245034 6354596 6472008 6585552 6701088 6783912 6902928 6951416 7286424 7408746 7525776 7538724 7752456 7820343 7888464 7957542 8183148 8197227 8326712 8466498 8629344 8874522 8936859 9045216 9093646 9367551 9531894 9708012 9715232 9878328 10051632 10336608 10354392 10427124 10610056 10910864 10929636 11288664 11308086 11628684 11832696 11915812 11936313 12274722 12490068 12699747 12709192 12944016 13171104 13567824 13640469 13805856 13902832 14297841 14572848 14817492 15051552 15077448 15504912 15640686 15776928 15915084 16366296 16394454 16653424 16932996 17749044 17873718 18187292 18412083 18735102 19063788 19416024 19756656 19775941 20103264 20708784 20854248 21220112 21821728 21859272 22577328 22616172 23257368 23461029 23665392 23831624 23872626 24549444 24591681 24980136 25198883 25399494 25418384 25888032 26810577 27135648 27280938 27805664 28102653 28595682 29145696 29634984 30154896 30184331 31009824 31281372 31830168 32732592 32788908 33306848 33865992 35498088 35747436 35808939 36374584 36824166 37470204 38127576 38832048 39513312 39551882 40921407 41417568 41708496 42440224 42893523 43718544 45154656 45232344 46514736 46922058 47330784 47663248 47745252 49098888 49183362 49960272 50397766 50798988 50836768 53621154 54561876 55236249 56205306 56600107 57191364 59269968 59327823 60309792 60368662 62562744 63660336 65465184 65577816 67731984 70383087 70996176 71494872 71617878 72749168 73648332 74940408 75596649 76255152 77664096 79103764 80431731 81842814 83416992 84307959 85787046 86389637 87437088 90464688 90552993 93029472 93844116 95326496 95490504 98197776 98366724 99920544 100795532 101597976 107242308 107426817 109123752 110472498 112410612 113200214 114382728 118539936 118655646 120737324 122764221 125125488 127320672 128680569 131155632 131857867 135463968 140766174 141992352 142989744 143235756 145498336 147296664 149880816 151193298 152510304 158207528 160863462 163685628 168615918 169800321 171574092 172779274 177983469 180929376 181105986 187688232 190981008 196395552 196733448 201591064 203195952 214484616 214853634 218247504 220944996 224821224 226400428 226789947 228765456 237311292 241295193 241474648 245528442 250250976 257361138 259168911 262311264 263715734 271658979 281532348 285979488 286471512 294593328 299761632 302386596 316415056 321726924 327371256 337231836 339600642 343148184 345558548 355966938 362211972 368292663 375376464 381962016 393466896 395573601 403182128 406391904 428969232 429707268 436495008 441889992 449642448 452800856 453579894 457530912 474622584 482590386 482949296 491056884 509400963 514722276 518337822 527431468 533950407 543317958 563064696 572943024 573502289 589186656 604773192 632830112 643453848 654742512 674463672 679201284 680369841 686296368 691117096 711933876 724423944 736585326 750752928 777506733 786933792 791147202 806364256 814976937 857938464 859414536 883779984 899284896 905601712 907159788 949245168 965180772 965898592 982113768 1018801926 1029444552 1036675644 1054862936 1067900814 1086635916 1126129392 1145886048 1147004578 1186720803 1209546384 1286907696 1309485024 1348927344 1358402568 1360739682 1372592736 1382234192 1423867752 1448847888 1473170652 1528202889 1555013466 1582294404 1601851221 1629953874 1641403103 1718829072 1720506867 1767559968 1811203424 1814319576 1898490336 1930361544 1964227536 2037603852 2041109523 2058889104 2073351288 2109725872 2135801628 2173271832 2252258784 2294009156 2332520199 2373441606 2419092768 2444930811 2505299473 2573815392 2697854688 2716805136 2721479364 2764468384 2847735504 2897695776 2946341304 3056405778 3110026932 3164588808 3203702442 3259907748 3282806206 3437658144 3441013734 3560162409 3628639152 3860723088 3928455072 4075207704 4082219046 4117778208 4146702576 4219451744 4271603256 4346543664 4584608667 4588018312 4665040398 4746883212 4889861622 4924209309 5010598946 5161520601 5433610272 5442958728 5695471008 5892682608 6112811556 6220053864 6329177616 6407404884 6519815496 6565612412 6882027468 6997560597 7120324818 7257278304 7515898419 7721446176 8150415408 8164438092 8293405152 8543206512 8693087328 9169217334 9176036624 9330080796 9493766424 9779723244 9848418618 10021197892 10323041202 10680487227 10885917456 11785365216 12225623112 12440107728 12658355232 12814809768 13039630992 13131224824 13764054936 13995121194 14240649636 14772627927 15031796838 15484561803 16300830816 16328876184 17086413024 18338434668 18352073248 18660161592 18987532848 19559446488 19696837236 20042395784 20646082404 21360974454 21771834912 22547695257 24451246224 24880215456 25629619536 26079261984 26262449648 27528109872 27990242388 28481299272 29545255854 30063593676 30969123606 32657752368 36676869336 37320323184 37975065696 39118892976 39393674472 40084791568 41292164808 42721948908 44317883781 45095390514 46453685409 47600689987 48902492448 51259239072 52524899296 55056219744 55980484776 56962598544 59090511708 60127187352 61938247212 65315504736 67643085771 73353738672 74640646368 78237785952 78787348944 80169583136 82584329616 85443897816 88635767562 90190781028 92907370818 95201379974 111960969552 113925197088 118181023416 120254374704 123876494424 132953651343 135286171542 142802069961 146707477344 157574697888 165168659232 170887795632 177271535124 180381562056 185814741636 190402759948 202929257313 223921939104 236362046832 240508749408 247752988848 265907302686 270572343084 285604139922 341775591264 354543070248 360763124112 371629483272 380805519896 405858514626 428406209883 472724093664 495505977696 531814605372 541144686168 571208279844 709086140496 721526248224 743258966544 761611039792 811717029252 856812419766 1063629210744 1082289372336 1142416559688 1285218629649 1418172280992 1486517933088 1523222079584 1623434058504 1713624839532 2127258421488 2164578744672 2284833119376 2570437259298 3246868117008 3427249679064 3855655888947 4254516842976 4569666238752 5140874518596 6493736234016 6854499358128 7711311777894 10281749037192 13708998716256 15422623555788 20563498074384 30845247111576 41126996148768 61690494223152 123380988446304
- Sum of all divisors σ(n): 401615199465480
- Sum of proper divisors (its aliquot sum) s(n): 278234211019176
- 123380988446304 is an abundant number, because the sum of its proper divisors (278234211019176) is greater than itself. Its abundance is 154853222572872
Bases of 123380988446304
- Binary: 111000000110110110111111111110100000110011000002
- Hexadecimal: 0x7036DFFD0660
- Base-36: 17QGFYX200
Squares and roots of 123380988446304
- 123380988446304 squared (1233809884463042) is 15222868309987001135891260416
- 123380988446304 cubed (1233809884463043) is 1878212539074113485523824525644184096702464
-
The
square root of 123380988446304 is 11107699.5118838179 -
The
cube root of 123380988446304 is 49783.1930465481
Scales and comparisons
How big is 123380988446304?- 123,380,988,446,304 seconds is equal to 3,923,133 years, 41 weeks, 14 hours, 38 minutes, 24 seconds.
-
To count from 1 to 123,380,988,446,304 would take you about nine million, eight hundred seven thousand, eight hundred thirty-four 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 123380988446304 cubic inches would be around 4148.6 feet tall.
Recreational maths with 123380988446304
- 123380988446304 backwards is 403644889083321
- The number of decimal digits it has is: 15
- The sum of 123380988446304's digits is 63
- More coming soon!
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"Number 123380988446304 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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The information we have on file for 123380988446304 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!
Keywords: Divisors of 123380988446304, math, Factors of 123380988446304, curriculum, school, college, exams, university, Prime factorization of 123380988446304, STEM, science, technology, engineering, physics, economics, calculator, one hundred twenty-three trillion, three hundred eighty billion, nine hundred eighty-eight million, four hundred forty-six thousand, three hundred four.