138030864440040
138,030,864,440,040 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138030864440040 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
138030864440040 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 138030864440040:
23 × 33 × 5 × 11 × 132 × 17 × 20112
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 13 × 13 × 17 × 2011 × 2011)See below for interesting mathematical facts about the number 138030864440040 from the Numbermatics database.
Names of 138030864440040
- Cardinal: 138030864440040 can be written as One hundred thirty-eight trillion, thirty billion, eight hundred sixty-four million, four hundred forty thousand and forty.
Scientific notation
- Scientific notation: 1.3803086444004 × 1014
Factors of 138030864440040
Divisors of 138030864440040
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 17 18 20 22 24 26 27 30 33 34 36 39 40 44 45 51 52 54 55 60 65 66 68 72 78 85 88 90 99 102 104 108 110 117 120 130 132 135 136 143 153 156 165 169 170 180 187 195 198 204 216 220 221 234 255 260 264 270 286 297 306 312 330 338 340 351 360 374 390 396 408 429 440 442 459 468 495 507 510 520 540 561 572 585 594 612 660 663 676 680 702 715 748 765 780 792 845 858 884 918 935 936 990 1014 1020 1080 1105 1122 1144 1170 1188 1224 1287 1320 1326 1352 1404 1430 1485 1496 1521 1530 1560 1683 1690 1716 1755 1768 1836 1859 1870 1980 1989 2011 2028 2040 2145 2210 2244 2295 2340 2376 2431 2535 2574 2652 2805 2808 2860 2873 2970 3042 3060 3315 3366 3380 3432 3510 3672 3718 3740 3861 3960 3978 4022 4056 4290 4420 4488 4563 4590 4680 4862 5049 5070 5148 5304 5577 5610 5720 5746 5940 5967 6033 6084 6120 6435 6630 6732 6760 7020 7293 7436 7480 7605 7722 7956 8044 8415 8580 8619 8840 9126 9180 9295 9724 9945 10055 10098 10140 10296 11154 11220 11492 11880 11934 12066 12155 12168 12870 13260 13464 14040 14365 14586 14872 15210 15444 15912 16088 16731 16830 17160 17238 18099 18252 18360 18590 19305 19448 19890 20110 20196 20280 21879 22121 22308 22440 22815 22984 23868 24132 24310 25245 25740 25857 26143 26520 27885 28730 29172 29835 30165 30420 30888 31603 33462 33660 34187 34476 36198 36465 36504 37180 38610 39780 40220 40392 43095 43758 44242 44616 45630 47736 48264 48620 50193 50490 51480 51714 52286 54297 55770 57460 58344 59670 60330 60840 63206 65637 66363 66924 67320 68374 68952 72396 72930 74360 77220 77571 78429 79560 80440 83655 86190 87516 88484 90495 91260 94809 97240 100386 100980 102561 103428 104572 108594 109395 110605 111540 114920 119340 120660 126412 129285 130715 131274 132726 133848 136748 144792 145860 154440 155142 156858 158015 167310 170935 172380 175032 176968 180990 182520 189618 199089 200772 201960 205122 206856 209144 217188 218790 221210 223080 235287 238680 241320 250965 252824 258570 261430 262548 265452 271485 273496 284427 287573 291720 307683 310284 313716 316030 328185 331815 334620 339859 341870 344760 361980 376057 379236 387855 392145 398178 401544 410244 434376 437580 442420 444431 470574 474045 501930 512805 517140 522860 525096 530904 542970 568854 575146 597267 615366 620568 627432 632060 656370 663630 669240 679718 683740 705861 723960 752114 758472 775710 784290 796356 820488 853281 862719 875160 884840 888862 923049 941148 948090 995445 1003860 1019577 1025610 1034280 1045720 1085940 1128171 1137708 1150292 1176435 1194534 1230732 1264120 1312740 1327260 1333293 1359436 1367480 1411722 1422135 1437865 1504228 1538415 1551420 1568580 1592712 1699295 1706562 1725438 1777724 1846098 1880285 1882296 1896180 1990890 2007720 2039154 2051220 2171880 2222155 2256342 2275416 2300584 2352870 2389068 2461464 2588157 2625480 2654520 2666586 2718872 2823444 2844270 2875730 2986335 3008456 3058731 3076830 3102840 3137160 3384513 3398590 3413124 3450876 3529305 3555448 3692196 3738449 3760570 3792360 3981780 3999879 4044121 4078308 4102440 4266405 4313595 4444310 4512684 4615245 4705740 4778136 4888741 5097885 5176314 5333172 5640855 5646888 5688540 5751460 5777603 5972670 6117462 6153660 6666465 6769026 6797180 6826248 6901752 7058610 7384392 7476898 7521140 7764471 7963560 7999758 8088242 8156616 8532810 8627190 8888620 9025368 9176193 9230490 9411480 9777482 10153539 10195770 10352628 10666344 11215347 11281710 11377080 11502920 11555206 11945340 11999637 12132363 12234924 12307320 12940785 13332930 13538052 13594360 14117220 14666223 14953796 15042280 15293655 15528942 15999516 16176484 16922565 17065620 17254380 17332809 17777240 18352386 18460980 18692245 19554964 19999395 20220605 20307078 20391540 20705256 22430694 22563420 23110412 23890680 23999274 24264726 24443705 24469848 25881570 26665860 27076104 28234440 28888015 29332446 29907592 30587310 31057884 31999032 32352968 33646041 33845130 34131240 34508760 34665618 36397089 36704772 36921960 37384490 38822355 39109928 39998790 40441210 40614156 40783080 43998669 44485331 44861388 45126840 45880965 46220824 47998548 48529452 48887410 50767695 51763140 51998427 52573573 53331720 56076735 57776030 58664892 59998185 60661815 61174620 62115768 63553633 67292082 67690260 68750057 69331236 72794178 73331115 73409544 74768980 77644710 79997580 80882420 81228312 86664045 87997338 88970662 89722776 91761930 95997096 97058904 97774820 100938123 101535390 103526280 103996854 105147146 109191267 112153470 115552060 117329784 119996370 121323630 122349240 127107266 131996007 133455993 134584164 135380520 137500114 138662472 145588356 146662230 149537960 155289420 155995281 157720719 159995160 161764840 168230205 173328090 175994676 177941324 181985445 183523860 190660899 195549640 201876246 203070780 206250171 207993708 210294292 218382534 219993345 222426655 224306940 231104120 239992740 242647260 254214532 259992135 262867865 263992014 266911986 269168328 275000228 291176712 293324460 310578840 311990562 315441438 317768165 336460410 343750285 346656180 351989352 355882648 363970890 367047720 381321798 400367979 403752492 406141560 412500342 415987416 420588584 436765068 439986690 444853310 448613880 473162157 479985480 485294520 504690615 508429064 519984270 525735730 527984028 533823972 545956335 550000456 571982697 578309303 586648920 618750513 623981124 630882876 635536330 659980035 667279965 672920820 683456449 687500570 693312360 727941780 756250627 762643596 779976405 788603595 800735958 807504984 825000684 873530136 879973380 889706620 893750741 946324314 953304495 1009381230 1031250855 1039968540 1051471460 1055968056 1067647944 1091912670 1143965394 1156618606 1201103937 1237501026 1247962248 1261765752 1271072660 1319960070 1334559930 1345841640 1366912898 1375001140 1419486471 1455883560 1512501254 1525287192 1559952810 1577207190 1601471916 1650001368 1715948091 1734927909 1759946760 1779413240 1787501482 1856251539 1892648628 1906608990 2001839895 2018762460 2050369347 2062501710 2079937080 2102942920 2183825340 2268751881 2287930788 2313237212 2365810785 2402207874 2475002052 2542145320 2639920140 2669119860 2681252223 2733825796 2750002280 2838972942 2859913485 2891546515 3025002508 3093752565 3119905620 3154414380 3202943832 3417282245 3431896182 3469855818 3575002964 3712503078 3781253135 3785297256 3813217980 4003679790 4037524920 4100738694 4125003420 4367650680 4468753705 4537503762 4575861576 4626474424 4731621570 4804415748 4950004104 5204783727 5279840280 5338239720 5362504446 5467651592 5677945884 5719826970 5783093030 6005519685 6050005016 6151108041 6187505130 6239811240 6308828760 6806255643 6834564490 6863792364 6939711636 7097432355 7150005928 7425006156 7518020939 7562506270 7626435960 8007359580 8043756669 8201477388 8250006840 8579740455 8674639545 8937507410 9075007524 9281257695 9463243140 9608831496 9831258151 10251846735 10409567454 10725008892 11343759405 11355891768 11439653940 11566186060 11618759633 12011039370 12302216082 12375010260 13406261115 13612511286 13669128980 13727584728 13879423272 14194864710 14850012312 15036041878 15125012540 15614351181 16014719160 16087513338 16402954776 17159480910 17349279090 17875014820 18150015048 18453324123 18562515390 18926486280 19662516302 20418766929 20503693470 20819134908 21450017784 22554062817 22687518810 22879307880 23132372120 23237519266 24022078740 24131270007 24604432164 24750020520 26023918635 26812522230 27225022572 27338257960 28389729420 29493774453 30072083756 30250025080 30755540205 31228702362 32175026676 34031278215 34318961820 34698558180 34856278899 35750029640 36906648246 37125030780 37590104695 39325032604 40218783345 40837533858 41007386940 41638269816 45108125634 45375037620 46475038532 48044157480 48262540014 49156290755 49208864328 52047837270 53625044460 54450045144 56779458840 58093798165 58987548906 60144167512 61511080410 62457404724 64350053352 67662188451 68062556430 68637923640 69397116360 69712557798 73813296492 74250061560 75180209390 78071755905 78650065208 80437566690 81675067716 82014773880 88481323359 90216251268 90750075240 92266620615 92950077064 96525080028 98312581510 102093834645 104095674540 104568836697 107250088920 112770314085 116187596330 117975097812 120656350035 123022160820 124914809448 127806355963 135324376902 136125112860 139425115596 147468872265 147626592984 150360418780 156143511810 160875133380 163350135432 174281394495 176962646718 180432502536 184533241230 193050160056 196625163020 202986565353 204187669290 208191349080 209137673394 225540628170 232375192660 235950195624 241312700070 246044321640 255612711926 265443970077 270648753804 272250225720 278850231192 294937744530 300720837560 312287023620 313706510091 321750266760 338310942255 348562788990 353925293436 369066482460 383419067889 393250326040 405973130706 408375338580 418275346788 442406616795 451081256340 464750385320 482625400140 511225423852 522844183485 530887940154 541297507608 589875489060 624574047240 627413020182 639031779815 676621884510 697125577980 707850586872 738132964920 766838135778 811946261412 816750677160 836550693576 884813233590 902162512680 965250800280 1014932826765 1022450847704 1045688366970 1061775880308 1150257203667 1179750978120 1254826040364 1278063559630 1327219850385 1353243769020 1394251155960 1533676271556 1568532550455 1623892522824 1769626467180 1917095339445 2029865653530 2091376733940 2123551760616 2300514407334 2509652080728 2556127119260 2654439700770 2706487538040 3067352543112 3137065100910 3450771611001 3539252934360 3834190678890 4059731307060 4182753467880 4601028814668 5112254238520 5308879401540 5751286018335 6274130201820 6901543222002 7668381357780 8119462614120 9202057629336 10617758803080 11502572036670 12548260403640 13803086444004 15336762715560 17253858055005 23005144073340 27606172888008 34507716110010 46010288146680 69015432220020 138030864440040
- Sum of all divisors σ(n): 575767962806400
- Sum of proper divisors (its aliquot sum) s(n): 437737098366360
- 138030864440040 is an abundant number, because the sum of its proper divisors (437737098366360) is greater than itself. Its abundance is 299706233926320
Bases of 138030864440040
- Binary: 111110110001001110100001010010010011010111010002
- Hexadecimal: 0x7D89D0A49AE8
- Base-36: 1CXEI4U3U0
Squares and roots of 138030864440040
- 138030864440040 squared (1380308644400402) is 19052519538064698982755201600
- 138030864440040 cubed (1380308644400403) is 2629835741599821986019611717713781312064000
-
The
square root of 138030864440040 is 11748653.7288337849 -
The
cube root of 138030864440040 is 51680.3448113469
Scales and comparisons
How big is 138030864440040?- 138,030,864,440,040 seconds is equal to 4,388,954 years, 27 weeks, 4 days, 12 hours, 54 minutes.
-
To count from 1 to 138,030,864,440,040 would take you about ten million, nine hundred seventy-two thousand, three hundred eighty-six 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 138030864440040 cubic inches would be around 4306.7 feet tall.
Recreational maths with 138030864440040
- 138030864440040 backwards is 040044468030831
- 138030864440040 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138030864440040's digits is 45
- More coming soon!
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The information we have on file for 138030864440040 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 138030864440040, math, Factors of 138030864440040, curriculum, school, college, exams, university, Prime factorization of 138030864440040, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, thirty billion, eight hundred sixty-four million, four hundred forty thousand and forty.