11628318838240
11,628,318,838,240 is an even composite number composed of eight prime numbers multiplied together.
What does the number 11628318838240 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 768 divisors.
11628318838240 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 11628318838240:
25 × 5 × 13 × 19 × 37 × 41 × 73 × 2657
(2 × 2 × 2 × 2 × 2 × 5 × 13 × 19 × 37 × 41 × 73 × 2657)See below for interesting mathematical facts about the number 11628318838240 from the Numbermatics database.
Names of 11628318838240
- Cardinal: 11628318838240 can be written as Eleven trillion, six hundred twenty-eight billion, three hundred eighteen million, eight hundred thirty-eight thousand, two hundred forty.
Scientific notation
- Scientific notation: 1.162831883824 × 1013
Factors of 11628318838240
Divisors of 11628318838240
- Number of divisors d(n): 768
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Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 26 32 37 38 40 41 52 65 73 74 76 80 82 95 104 130 146 148 152 160 164 185 190 205 208 247 260 292 296 304 328 365 370 380 410 416 481 494 520 533 584 592 608 656 703 730 740 760 779 820 949 962 988 1040 1066 1168 1184 1235 1312 1387 1406 1460 1480 1517 1520 1558 1640 1898 1924 1976 2080 2132 2336 2405 2470 2657 2665 2701 2774 2812 2920 2960 2993 3034 3040 3116 3280 3515 3796 3848 3895 3952 4264 4745 4810 4940 5314 5330 5402 5548 5624 5840 5920 5986 6068 6232 6560 6935 7030 7585 7592 7696 7790 7904 8528 9139 9490 9620 9880 10127 10628 10660 10804 11096 11248 11680 11972 12136 12464 13285 13505 13870 14060 14965 15170 15184 15392 15580 17056 18031 18278 18980 19240 19721 19760 20254 21256 21320 21608 22192 22496 23944 24272 24928 26570 27010 27740 28120 28823 29930 30340 30368 31160 34541 35113 36062 36556 37960 38480 38909 39442 39520 40508 42512 42640 43216 44384 45695 47888 48544 50483 50635 51319 53140 54020 55480 56240 56867 57646 59860 60680 62320 69082 70226 72124 73112 75920 76960 77818 78884 81016 85024 85280 86432 90155 91390 95776 98309 98605 100966 101270 102638 106280 108040 108937 110741 110960 112480 113734 115292 119720 121360 124640 138164 140452 144115 144248 146224 151840 155636 157768 162032 172705 175565 180310 182780 193961 194545 196618 197210 201932 202540 205276 212560 216080 217874 221482 221920 227468 230584 239440 242720 252415 256595 276328 280904 284335 288230 288496 292448 311272 315536 324064 345410 351130 360620 365560 374699 387922 389090 393236 394420 403864 405080 410552 425120 432160 435748 442964 454936 461168 478880 491545 504830 513190 544685 552656 553705 561808 568670 576460 576992 622544 631072 656279 667147 690820 702260 721240 731120 739271 749398 775844 778180 786472 788840 807728 810160 821104 871496 885928 909872 922336 969805 983090 1009660 1026380 1089370 1105312 1107410 1123616 1137340 1152920 1245088 1278017 1312558 1334294 1381640 1404520 1416181 1439633 1442480 1462240 1478542 1498796 1551688 1556360 1572944 1577680 1615456 1620320 1642208 1742992 1771856 1819744 1867871 1873495 1939610 1966180 2019320 2052760 2069803 2104079 2178740 2214820 2274680 2305840 2521493 2556034 2625116 2668588 2763280 2809040 2832362 2879266 2884960 2957084 2997592 3103376 3112720 3145888 3155360 3281395 3335735 3485984 3543712 3685259 3696355 3735742 3746990 3879220 3932360 4030669 4038640 4105520 4139606 4208158 4357480 4429640 4549360 4611680 5042986 5112068 5250232 5337176 5526560 5618080 5664724 5758532 5914168 5995184 6206752 6225440 6390085 6562790 6671470 7080905 7176557 7198165 7370518 7392710 7471484 7493980 7758440 7864720 7952401 8061338 8077280 8211040 8279212 8416316 8714960 8859280 9098720 9339355 10085972 10224136 10349015 10500464 10520395 10674352 11329448 11517064 11828336 11990368 12607465 12780170 13125580 13342940 14161810 14353114 14396330 14741036 14785420 14942968 14987960 15516880 15729440 15904802 16122676 16558424 16832632 17429920 17718560 18426295 18678710 20153345 20171944 20448272 20698030 21000928 21040790 21348704 22658896 23034128 23656672 24282323 25214930 25560340 26251160 26685880 26907439 27353027 28323620 28706228 28792660 29482072 29570840 29885936 29975920 31033760 31809604 32245352 33116848 33665264 35882785 36852590 37357420 39762005 40306690 40343888 40896544 41396060 42081580 45317792 46068256 47908367 48564646 50429860 51120680 52398697 52502320 53371760 53814878 54706054 56647240 57412456 57585320 58964144 59141680 59771872 59951840 63619208 64490704 66233696 67330528 71765570 73705180 74714840 76582711 79524010 80613380 80687776 82792120 84163160 93295241 95816734 97129292 100859720 102241360 103381213 104797394 105004640 106743520 107629756 109412108 113294480 114824912 115170640 117928288 118283360 121411615 127238416 128981408 134537195 136354583 136765135 143531140 147410360 149429680 151095619 153165422 159048020 161226760 165584240 168326320 186590482 191633468 194258584 201719440 204482720 206762426 209594788 215259512 218824216 226588960 229649824 230341280 239541835 242823230 254476832 261993485 269074390 272709166 273530270 287062280 294238837 294820720 298859360 302191238 306330844 318096040 322453520 331168480 336652640 373180964 382913555 383266936 388517168 403438880 413524852 419189576 430519024 437648432 466476205 479083670 485646460 516906065 523986970 538148780 545418332 547060540 574124560 588477674 589641440 604382476 612661688 636192080 644907040 681772915 746361928 755478095 765827110 766533872 777034336 827049704 838379152 861038048 875296864 932952410 958167340 971292920 995575243 1033812130 1047973940 1076297560 1090836664 1094121080 1148249120 1176955348 1208764952 1225323376 1272384160 1363545830 1471194185 1492723856 1510956190 1531654220 1533067744 1654099408 1676758304 1772609579 1865904820 1916334680 1942585840 1964243047 1991150486 2067624260 2095947880 2152595120 2181673328 2188242160 2353910696 2417529904 2450646752 2727091660 2942388370 2985447712 3021912380 3063308440 3308198816 3545219158 3731809640 3825104881 3832669360 3885171680 3928486094 3982300972 4135248520 4191895760 4305190240 4363346656 4376484320 4707821392 4835059808 4977876215 5454183320 5590537903 5884776740 6043824760 6126616880 7090438316 7463619280 7650209762 7665338720 7856972188 7964601944 8270497040 8383791520 8863047895 9415642784 9821215235 9955752430 10908366640 11181075806 11769553480 12087649520 12253233760 14180876632 14927238560 15300419524 15713944376 15929203888 16540994080 17726095790 19125524405 19642430470 19911504860 21816733280 22362151612 23539106960 24175299040 27952689515 28361753264 30600839048 31427888752 31858407776 35452191580 38251048810 39284860940 39823009720 44724303224 47078213920 55905379030 56723506528 61201678096 62855777504 70904383160 72676992739 76502097620 78569721880 79646019440 89448606448 111810758060 122403356192 141808766320 145353985478 153004195240 157139443760 159292038880 178897212896 223621516120 283617532640 290707970956 306008390480 314278887520 363384963695 447243032240 581415941912 612016780960 726769927390 894486064480 1162831883824 1453539854780 2325663767648 2907079709560 5814159419120 11628318838240
- Sum of all divisors σ(n): 33225338522880
- Sum of proper divisors (its aliquot sum) s(n): 21597019684640
- 11628318838240 is an abundant number, because the sum of its proper divisors (21597019684640) is greater than itself. Its abundance is 9968700846400
Bases of 11628318838240
- Binary: 101010010011011011011101000001001101111000002
- Hexadecimal: 0xA936DD04DE0
- Base-36: 44DZ4SVDS
Squares and roots of 11628318838240
- 11628318838240 squared (116283188382402) is 135217799003767263286297600
- 11628318838240 cubed (116283188382403) is 1572355679420856772400664312542900224000
-
The
square root of 11628318838240 is 3410032.0875675055 -
The
cube root of 11628318838240 is 22655.4300474451
Scales and comparisons
How big is 11628318838240?- 11,628,318,838,240 seconds is equal to 369,744 years, 29 weeks, 4 days, 14 hours, 10 minutes, 40 seconds.
-
To count from 1 to 11,628,318,838,240 would take you about nine hundred twenty-four thousand, three hundred sixty-one 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 11628318838240 cubic inches would be around 1888 feet tall.
Recreational maths with 11628318838240
- 11628318838240 backwards is 04283881382611
- The number of decimal digits it has is: 14
- The sum of 11628318838240's digits is 55
- More coming soon!
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