123138002257920
123,138,002,257,920 is an even composite number composed of seven prime numbers multiplied together.
What does the number 123138002257920 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
123138002257920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 123138002257920:
211 × 32 × 5 × 13 × 61 × 127 × 13267
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 61 × 127 × 13267)See below for interesting mathematical facts about the number 123138002257920 from the Numbermatics database.
Names of 123138002257920
- Cardinal: 123138002257920 can be written as One hundred twenty-three trillion, one hundred thirty-eight billion, two million, two hundred fifty-seven thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.2313800225792 × 1014
Factors of 123138002257920
Divisors of 123138002257920
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 61 64 65 72 78 80 90 96 104 117 120 122 127 128 130 144 156 160 180 183 192 195 208 234 240 244 254 256 260 288 305 312 320 360 366 381 384 390 416 468 480 488 508 512 520 549 576 585 610 624 635 640 720 732 762 768 780 793 832 915 936 960 976 1016 1024 1040 1098 1143 1152 1170 1220 1248 1270 1280 1440 1464 1524 1536 1560 1586 1651 1664 1830 1872 1905 1920 1952 2032 2048 2080 2196 2286 2304 2340 2379 2440 2496 2540 2560 2745 2880 2928 3048 3072 3120 3172 3302 3328 3660 3744 3810 3840 3904 3965 4064 4160 4392 4572 4608 4680 4758 4880 4953 4992 5080 5120 5490 5715 5760 5856 6096 6144 6240 6344 6604 6656 7137 7320 7488 7620 7680 7747 7808 7930 8128 8255 8320 8784 9144 9216 9360 9516 9760 9906 9984 10160 10240 10980 11430 11520 11712 11895 12192 12480 12688 13208 13267 13312 14274 14640 14859 14976 15240 15360 15494 15616 15860 16256 16510 16640 17568 18288 18432 18720 19032 19520 19812 19968 20320 21960 22860 23040 23241 23424 23790 24384 24765 24960 25376 26416 26534 26624 28548 29280 29718 29952 30480 30720 30988 31232 31720 32512 33020 33280 35136 35685 36576 37440 38064 38735 39040 39624 39801 39936 40640 43920 45720 46080 46482 46848 47580 48768 49530 49920 50752 52832 53068 57096 58560 59436 59904 60960 61976 62464 63440 65024 66040 66335 66560 69723 70272 71370 73152 74295 74880 76128 77470 78080 79248 79602 79872 81280 87840 91440 92160 92964 93696 95160 97536 99060 99840 100711 101504 105664 106136 114192 116205 117120 118872 119403 119808 121920 123952 124928 126880 130048 132080 132670 133120 139446 140544 142740 146304 148590 149760 152256 154940 156160 158496 159204 162560 172471 175680 182880 185928 187392 190320 195072 198120 199005 199680 201422 203008 211328 212272 228384 232410 234240 237744 238806 239616 243840 247904 253760 260096 264160 265340 278892 281088 285480 292608 297180 299520 302133 304512 309880 312320 316992 318408 325120 344942 348615 351360 365760 371856 374784 380640 390144 396240 398010 399360 402844 406016 422656 424544 456768 464820 468480 475488 477612 487680 495808 503555 507520 517413 528320 530680 557784 562176 570960 585216 594360 597015 599040 604266 609024 619760 624640 633984 636816 650240 689884 697230 702720 731520 743712 761280 780288 792480 796020 805688 809287 812032 845312 849088 862355 906399 913536 929640 936960 950976 955224 975360 991616 1007110 1015040 1034826 1056640 1061360 1115568 1124352 1141920 1170432 1188720 1194030 1198080 1208532 1218048 1239520 1267968 1273632 1300480 1379768 1394460 1405440 1463040 1487424 1510665 1522560 1552239 1584960 1592040 1611376 1618574 1624064 1684909 1690624 1698176 1724710 1812798 1827072 1859280 1873920 1901952 1910448 1950720 1983232 2014220 2030080 2069652 2113280 2122720 2231136 2283840 2340864 2377440 2388060 2417064 2427861 2436096 2479040 2535936 2547264 2587065 2759536 2788920 2810880 2926080 2974848 3021330 3045120 3104478 3169920 3184080 3222752 3237148 3369818 3381248 3396352 3449420 3625596 3654144 3718560 3803904 3820896 3901440 3966464 4028440 4046435 4060160 4139304 4226560 4245440 4462272 4531995 4567680 4754880 4776120 4834128 4855722 4872192 4958080 5054727 5071872 5094528 5174130 5519072 5577840 5621760 5852160 5949696 6042660 6090240 6208956 6339840 6368160 6445504 6474296 6739636 6792704 6898840 7251192 7283583 7308288 7437120 7607808 7641792 7761195 7932928 8056880 8092870 8120320 8278608 8424545 8453120 8490880 8924544 9063990 9135360 9509760 9552240 9668256 9711444 9916160 10109454 10143744 10189056 10348260 10520731 11038144 11155680 11704320 11899392 12085320 12139305 12180480 12417912 12679680 12736320 12891008 12948592 13479272 13585408 13797680 14502384 14567166 14616576 14874240 15164181 15215616 15283584 15522390 15865856 16113760 16185740 16557216 16849090 16906240 16981760 17849088 18127980 18270720 19019520 19104480 19336512 19422888 19832320 20218908 20378112 20696520 21041462 21903817 22076288 22311360 23798784 24170640 24278610 24360960 24835824 25273635 25359360 25472640 25782016 25897184 26958544 27170816 27595360 29004768 29134332 29748480 30328362 30431232 30567168 31044780 31562193 32227520 32371480 33114432 33698180 33963520 35698176 36255960 36417915 36541440 38039040 38208960 38673024 38845776 39664640 40437816 40756224 41393040 42082924 43807634 44152576 44622720 47597568 48341280 48557220 49671648 50547270 50718720 50945280 51564032 51794368 52603655 53917088 55190720 58009536 58268664 59496960 60656724 61134336 62089560 63124386 64455040 64742960 65711451 66228864 67396360 67927040 71396352 72511920 72835830 73082880 75820905 76078080 76417920 77346048 77691552 79329280 80875632 81512448 82786080 84165848 87615268 88305152 89245440 94686579 96682560 97114440 99343296 101094540 101890560 102779449 103128064 103588736 105207310 107834176 109519085 110381440 116019072 116537328 118993920 121313448 122268672 124179120 126248772 128910080 129485920 131422902 132457728 134792720 135854080 142792704 145023840 145671660 151641810 152156160 152835840 154692096 155383104 157810965 161751264 165572160 168331696 175230536 176610304 178490880 189373158 193365120 194228880 197134353 198686592 202189080 203781120 205558898 206256128 207177472 210414620 215668352 219038170 220762880 232038144 233074656 237987840 242626896 244537344 248358240 252497544 257820160 258971840 262845804 264915456 269585440 290047680 291343320 303283620 305671680 308338347 309384192 310766208 315621930 323502528 328557255 331144320 336663392 350461072 353220608 356981760 378746316 386730240 388457760 394268706 397373184 404378160 407562240 411117796 414354944 420829240 431336704 438076340 441525760 464076288 466149312 473432895 485253792 496716480 504995088 513897245 515640320 517943680 525691608 529830912 539170880 580095360 582686640 606567240 611343360 616676694 618768384 621532416 631243860 647005056 657114510 662288640 673326784 700922144 713963520 757492632 773460480 776915520 788537412 794746368 808756320 822235592 828709888 841658480 862673408 876152680 883051520 925015041 928152576 932298624 946865790 970507584 985671765 993432960 1009990176 1027794490 1031280640 1035887360 1051383216 1059661824 1078341760 1160190720 1165373280 1213134480 1222686720 1233353388 1243064832 1262487720 1294010112 1314229020 1324577280 1336132837 1346653568 1401844288 1514985264 1541691735 1546920960 1553831040 1577074824 1589492736 1617512640 1644471184 1657419776 1683316960 1725346816 1752305360 1766103040 1850030082 1856305152 1864597248 1893731580 1941015168 1971343530 1986865920 2019980352 2055588980 2071774720 2102766432 2156683520 2320381440 2330746560 2426268960 2466706776 2486129664 2524975440 2588020224 2628458040 2649154560 2672265674 2693307136 2803688576 3029970528 3083383470 3093841920 3107662080 3154149648 3178985472 3235025280 3288942368 3366633920 3450693632 3504610720 3700060164 3729194496 3787463160 3882030336 3942687060 3973731840 4008398511 4039960704 4111177960 4143549440 4205532864 4313367040 4625075205 4640762880 4661493120 4852537920 4933413552 4972259328 5049950880 5176040448 5256916080 5298309120 5344531348 5386614272 5607377152 6059941056 6166766940 6215324160 6308299296 6470050560 6577884736 6680664185 6733267840 7009221440 7400120328 7458388992 7574926320 7764060672 7885374120 7947463680 8016797022 8079921408 8222355920 8287098880 8411065728 8626734080 9250150410 9281525760 9322986240 9705075840 9866827104 10099901760 10352080896 10513832160 10689062696 10773228544 11214754304 12025195533 12119882112 12333533880 12430648320 12616598592 12940101120 13155769472 13361328370 13466535680 14018442880 14800240656 14916777984 15149852640 15528121344 15770748240 15894927360 16033594044 16159842816 16444711840 16822131456 17253468160 18500300820 18645972480 19410151680 19733654208 20041992555 20199803520 21027664320 21378125392 21546457088 22429508608 24050391066 24239764224 24667067760 24861296640 25233197184 25880202240 26311538944 26722656740 26933071360 28036885760 29600481312 30299705280 31056242688 31541496480 32067188088 32319685632 32889423680 33644262912 37000601640 37291944960 38820303360 39467308416 40083985110 40399607040 42055328640 42756250784 44859017216 48100782132 48479528448 49334135520 50466394368 51760404480 52623077888 53445313480 53866142720 56073771520 59200962624 60125977665 60599410560 63082992960 64134376176 64639371264 65778847360 67288525824 74001203280 74583889920 77640606720 78934616832 80167970220 80799214080 84110657280 85512501568 96201564264 96959056896 98668271040 100932788736 105246155776 106890626960 107732285440 112147543040 118401925248 120251955330 121198821120 126165985920 128268752352 131557694720 134577051648 148002406560 155281213440 157869233664 160335940440 161598428160 168221314560 171025003136 192403128528 193918113792 197336542080 201865577472 210492311552 213781253920 224295086080 236803850496 240503910660 242397642240 252331971840 256537504704 263115389440 296004813120 315738467328 320671880880 323196856320 336442629120 342050006272 384806257056 394673084160 403731154944 427562507840 473607700992 481007821320 484795284480 504663943680 513075009408 526230778880 592009626240 631476934656 641343761760 672885258240 684100012544 769612514112 789346168320 855125015680 947215401984 962015642640 969590568960 1009327887360 1026150018816 1052461557760 1184019252480 1282687523520 1368200025088 1539225028224 1578692336640 1710250031360 1894430803968 1924031285280 2018655774720 2052300037632 2368038504960 2565375047040 2736400050176 3078450056448 3157384673280 3420500062720 3848062570560 4104600075264 4736077009920 5130750094080 6156900112896 6841000125440 7696125141120 8209200150528 9472154019840 10261500188160 12313800225792 13682000250880 15392250282240 20523000376320 24627600451584 30784500564480 41046000752640 61569001128960 123138002257920
- Sum of all divisors σ(n): 470851183595520
- Sum of proper divisors (its aliquot sum) s(n): 347713181337600
- 123138002257920 is an abundant number, because the sum of its proper divisors (347713181337600) is greater than itself. Its abundance is 224575179079680
Bases of 123138002257920
- Binary: 110111111111110010011001110001000001000000000002
- Hexadecimal: 0x6FFE4CE20800
- Base-36: 17NCTF7R40
Squares and roots of 123138002257920
- 123138002257920 squared (1231380022579202) is 15162967600071511018202726400
- 123138002257920 cubed (1231380022579203) is 1867137538574373527312913481663499993088000
-
The
square root of 123138002257920 is 11096756.3845440889 -
The
cube root of 123138002257920 is 49750.4906067351
Scales and comparisons
How big is 123138002257920?- 123,138,002,257,920 seconds is equal to 3,915,407 years, 30 weeks, 1 day, 11 hours, 12 minutes.
-
To count from 1 to 123,138,002,257,920 would take you about nine million, seven hundred eighty-eight thousand, five hundred eighteen 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 123138002257920 cubic inches would be around 4145.9 feet tall.
Recreational maths with 123138002257920
- 123138002257920 backwards is 029752200831321
- 123138002257920 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 123138002257920's digits is 45
- More coming soon!
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The information we have on file for 123138002257920 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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