13142425834903120
13,142,425,834,903,120 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13142425834903120 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
13142425834903120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 13142425834903120:
24 × 5 × 73 × 172 × 29 × 109 × 524287
(2 × 2 × 2 × 2 × 5 × 7 × 7 × 7 × 17 × 17 × 29 × 109 × 524287)See below for interesting mathematical facts about the number 13142425834903120 from the Numbermatics database.
Names of 13142425834903120
- Cardinal: 13142425834903120 can be written as Thirteen quadrillion, one hundred forty-two trillion, four hundred twenty-five billion, eight hundred thirty-four million, nine hundred three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.314242583490312 × 1016
Factors of 13142425834903120
Divisors of 13142425834903120
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 28 29 34 35 40 49 56 58 68 70 80 85 98 109 112 116 119 136 140 145 170 196 203 218 232 238 245 272 280 289 290 340 343 392 406 436 464 476 490 493 545 560 578 580 595 680 686 763 784 812 833 872 952 980 986 1015 1090 1156 1160 1190 1360 1372 1421 1445 1526 1624 1666 1715 1744 1853 1904 1960 1972 2023 2030 2180 2312 2320 2380 2465 2744 2842 2890 3052 3161 3248 3332 3430 3451 3706 3815 3920 3944 4046 4060 4165 4360 4624 4760 4930 5341 5488 5684 5780 5831 6104 6322 6664 6860 6902 7105 7412 7630 7888 8092 8120 8330 8381 8720 9265 9520 9860 9947 10115 10682 11368 11560 11662 12208 12644 12971 13328 13720 13804 14161 14210 14824 15260 15805 16184 16240 16660 16762 17255 18530 19720 19894 20230 21364 22127 22736 23120 23324 24157 25288 25942 26705 27440 27608 28322 28420 29155 29648 30520 31501 31610 32368 33320 33524 34510 37060 37387 39440 39788 40460 41905 42728 44254 46648 48314 49735 50576 51884 53410 53737 55216 56644 56840 58310 58667 61040 63002 63220 64855 66640 67048 69020 70805 74120 74774 79576 80920 83810 85456 88508 90797 93296 96628 99127 99470 103768 106820 107474 110635 113288 113680 116620 117334 120785 126004 126440 129710 134096 138040 141610 148240 149548 154889 157505 159152 161840 167620 169099 177016 181594 186935 193256 198254 198940 207536 213640 214948 220507 221270 226576 233240 234668 241570 252008 252880 259420 268685 276080 283220 293335 299096 309778 315010 335240 338198 354032 363188 373870 376159 386512 396508 397880 410669 427280 429896 441014 442540 453985 466480 469336 483140 495635 504016 518840 524287 537370 566440 586670 598192 619556 630020 635579 670480 676396 726376 747740 752318 774445 793016 795760 821338 845495 859792 882028 885080 907970 913529 938672 966280 991270 1037680 1048574 1074740 1084223 1102535 1132880 1173340 1239112 1260040 1271158 1352792 1452752 1495480 1504636 1543549 1548890 1586032 1642676 1690990 1764056 1770160 1815940 1827058 1880795 1932560 1982540 2053345 2097148 2149480 2168446 2205070 2346680 2478224 2520080 2542316 2621435 2633113 2705584 2874683 2990960 3009272 3087098 3097780 3177895 3285352 3381980 3528112 3631880 3654116 3670009 3761590 3965080 4106690 4194296 4298960 4336892 4410140 4567645 4693360 5084632 5242870 5266226 5421115 5749366 6018544 6174196 6195560 6355790 6394703 6570704 6763960 7263760 7308232 7340018 7523180 7717745 7930160 8213380 8388592 8673784 8820280 8912879 9135290 10169264 10485740 10532452 10804843 10842230 11498732 12348392 12391120 12711580 12789406 13165565 13527920 14373415 14616464 14680036 15046360 15204323 15435490 16426760 17347568 17640560 17825758 18270580 18350045 18431791 20971480 21064904 21609686 21684460 22997464 24696784 25423160 25578812 25690063 26331130 28746830 29360072 30092720 30408646 30870980 31973515 32853520 35651516 36541160 36700090 36863582 41942960 42129808 43219372 43368920 44564395 44762921 45994928 50846320 51157624 51380126 52662260 54024215 57147283 57493660 58720144 60817292 61741960 62390153 63947030 71303032 73082320 73400180 73727164 76021615 86438744 86737840 89128790 89525842 92158955 102315248 102760252 105324520 106430261 108048430 114294566 114987320 121634584 123483920 124780306 127894060 128450315 142606064 146800360 147454328 151518943 152043230 172877488 178257580 179051684 179830441 184317910 205520504 210649040 212860522 216096860 223814605 228589132 229974640 243269168 249560612 255788120 256900630 258473491 285736415 293600720 294908656 303037886 304086460 311950765 313340447 356515160 358103368 359660882 368635820 400030981 411041008 425721044 432193720 436731071 447629210 457178264 499121224 511576240 513801260 516946982 532151305 571472830 606075772 608172920 623901530 626680894 713030320 716206736 719321764 737271640 745011827 757594715 800061962 851442088 864387440 873462142 895258420 899152205 914356528 971503811 998242448 1027602520 1033893964 1060632601 1064302610 1142945660 1212151544 1216345840 1247803060 1253361788 1292367455 1438643528 1474543280 1490023654 1515189430 1566702235 1600123924 1657271207 1702884176 1746924284 1790516840 1798304410 1809314437 1943007622 2000154905 2055205040 2067787928 2121265202 2128605220 2183655355 2285891320 2424303088 2495606120 2506723576 2584734910 2800216867 2877287056 2980047308 3030378860 3057117497 3133404470 3200247848 3314542414 3493848568 3581033680 3596608820 3618628874 3725059135 3886015244 4000309810 4135575856 4242530404 4257210440 4367310710 4394049347 4571782640 4857519055 4991212240 5013447152 5169469820 5215082789 5303163005 5600433734 5960094616 6060757720 6114234994 6266808940 6400495696 6629084828 6800526677 6987697136 7193217640 7237257748 7424428207 7450118270 7772030488 8000619620 8286356035 8485060808 8514420880 8734621420 8788098694 9046572185 9715038110 10338939640 10430165578 10606326010 11200867468 11600898449 11920189232 12121515440 12228469988 12533617880 12665201059 13258169656 13601053354 14001084335 14386435280 14474515496 14848856414 14900236540 15285587485 15544060976 16001239240 16515564787 16572712070 16970121616 17469242840 17576197388 18093144370 19430076220 19601518069 20677879280 20860331156 21212652020 21970246735 22401734936 23201796898 24456939976 25067235760 25330402118 26075413945 26516339312 27202106708 28002168670 28173610519 28949030992 29697712828 29800473080 30571174970 30758345429 32002478480 33031129574 33145424140 34002633385 34938485680 35152394776 36186288740 37122141035 38860152440 39203036138 41720662312 42425304040 43940493470 44803469872 46403593796 47603686739 48913879952 50660804236 51970997449 52150827890 54404213416 56004337340 56347221038 58004492245 59395425656 59600946160 61142349940 61516690858 63326005295 66062259148 66290848280 68005266770 70304789552 72372577480 74244282070 77720304880 78406072276 81206289143 82577823935 83441324624 84850608080 87880986940 88656407413 92807187592 95207373478 98007590345 101321608472 103941994898 104301655780 108808426832 112008674680 112694442076 115608953509 116008984490 118790851312 122284699880 123033381716 126652010590 132124518296 132581696560 136010533540 140868052595 144745154960 148488564140 153791727145 156812144552 162412578286 165155647870 175761973880 177312814826 185614375184 190414746956 196015180690 197215273633 202643216944 207883989796 208603311560 215308418003 224017349360 225388884152 231217907018 232017968980 238018433695 244569399760 246066763432 253304021180 259854987245 264249036592 272021067080 281736105190 296977128280 307583454290 313624289104 324825156572 330311295740 333225807173 351523947760 354625629652 380829493912 392030361380 394430547266 406031445715 415767979592 417206623120 430616836006 443282037065 450777768304 462435814036 464035937960 476036867390 478951378823 492133526864 506608042360 519709974490 544042134160 563472210380 568444024001 578044767545 593954256560 615166908580 649650313144 660622591480 666451614346 709251259304 761658987824 784060722760 788861094532 809262674563 812062891430 831535959184 861233672012 886564074130 924871628072 928071875920 952073734780 957902757646 986076368165 1013216084720 1039419948980 1076542090015 1126944420760 1136888048002 1156089535090 1230333817160 1299300626288 1321245182960 1332903228692 1380506915431 1418502518608 1507158926021 1568121445520 1577722189064 1618525349126 1624125782860 1666129035865 1722467344024 1773128148260 1849743256144 1904147469560 1915805515292 1972152736330 2078839897960 2153084180030 2253888841520 2273776096004 2312179070180 2394756894115 2460667634320 2665806457384 2761013830862 2842220120005 3014317852042 3155444378128 3237050698252 3248251565720 3332258071730 3352659651761 3444934688048 3546256296520 3808294939120 3831611030584 3944305472660 4046313372815 4157679795920 4306168360060 4547552192008 4624358140360 4789513788230 5331612914768 5522027661724 5664838721941 5684440240010 6028635704084 6474101396504 6496503131440 6664516143460 6705319303522 6902534577155 7092512593040 7535794630105 7663222061168 7888610945320 8092626745630 8612336720120 9095104384016 9248716280720 9579027576460 9663548408017 11044055323448 11329677443882 11368880480020 12057271408168 12948202793008 13329032286920 13410638607044 13805069154310 15071589260210 15777221890640 16185253491260 16763298258805 17224673440240 19158055152920 19327096816034 22088110646896 22659354887764 22737760960040 23468617562327 24114542816336 26658064573840 26821277214088 27610138308620 28324193609705 30143178520420 32370506982520 33526596517610 38316110305840 38654193632068 45318709775528 45475521920080 46937235124654 48317742040085 53642554428176 55220276617240 56648387219410 60286357040840 64741013965040 67053193035220 77308387264136 90637419551056 93874470249308 96635484080170 110440553234480 113296774438820 117343087811635 120572714081680 134106386070440 154616774528272 164280322936289 187748940498616 193270968160340 226593548877640 234686175623270 268212772140880 328560645872578 375497880997232 386541936320680 453187097755280 469372351246540 657121291745156 773083872641360 821401614681445 938744702493080 1314242583490312 1642803229362890 1877489404986160 2628485166980624 3285606458725780 6571212917451560 13142425834903120
- Sum of all divisors σ(n): 39518019256320000
- Sum of proper divisors (its aliquot sum) s(n): 26375593421416880
- 13142425834903120 is an abundant number, because the sum of its proper divisors (26375593421416880) is greater than itself. Its abundance is 13233167586513760
Bases of 13142425834903120
- Binary: 1011101011000011110111011101110110000001010110010100002
- Hexadecimal: 0x2EB0F777605650
- Base-36: 3LELN2UPZKG
Squares and roots of 13142425834903120
- 13142425834903120 squared (131424258349031202) is 172723356825928970795219785734400
- 13142425834903120 cubed (131424258349031203) is 2270003907040279064844761007848302115382051328000
-
The
square root of 13142425834903120 is 114640419.7257804879 -
The
cube root of 13142425834903120 is 235989.0461909557
Scales and comparisons
How big is 13142425834903120?- 13,142,425,834,903,120 seconds is equal to 417,888,489 years, 18 weeks, 4 days, 4 hours, 38 minutes, 40 seconds.
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To count from 1 to 13,142,425,834,903,120 would take you about one billion, two hundred fifty-three million, six hundred sixty-five thousand, four hundred sixty-eight 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 13142425834903120 cubic inches would be around 19665.8 feet tall.
Recreational maths with 13142425834903120
- 13142425834903120 backwards is 02130943852424131
- The number of decimal digits it has is: 17
- The sum of 13142425834903120's digits is 52
- More coming soon!
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The information we have on file for 13142425834903120 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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