138446403632820
138,446,403,632,820 is an even composite number composed of eight prime numbers multiplied together.
138446403632820 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 138446403632820:
22 × 32 × 5 × 19 × 41 × 149 × 809 × 8191
(2 × 2 × 3 × 3 × 5 × 19 × 41 × 149 × 809 × 8191)See below for interesting mathematical facts about the number 138446403632820 from the Numbermatics database.
Names of 138446403632820
- Cardinal: 138446403632820 can be written as One hundred thirty-eight trillion, four hundred forty-six billion, four hundred three million, six hundred thirty-two thousand, eight hundred twenty.
Scientific notation
- Scientific notation: 1.3844640363282 × 1014
Factors of 138446403632820
Divisors of 138446403632820
- Number of divisors d(n): 576
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Complete list of divisors:
1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 41 45 57 60 76 82 90 95 114 123 149 164 171 180 190 205 228 246 285 298 342 369 380 410 447 492 570 596 615 684 738 745 779 809 820 855 894 1140 1230 1341 1476 1490 1558 1618 1710 1788 1845 2235 2337 2427 2460 2682 2831 2980 3116 3236 3420 3690 3895 4045 4470 4674 4854 5364 5662 6109 6705 7011 7281 7380 7790 8090 8191 8493 8940 9348 9708 11324 11685 12135 12218 13410 14022 14155 14562 15371 15580 16180 16382 16986 18327 23370 24270 24436 24573 25479 26820 28044 28310 29124 30545 30742 32764 33169 33972 35055 36405 36654 40955 42465 46113 46740 48540 49146 50958 54981 56620 61090 61484 66338 70110 72810 73308 73719 76855 81910 84930 91635 92226 98292 99507 101916 109962 116071 120541 122180 122865 127395 132676 138339 140220 145620 147438 153710 155629 163820 165845 169860 183270 184452 199014 219924 230565 232142 241082 245730 254790 274905 276678 294876 298521 307420 311258 331690 335831 348213 361623 366540 368595 398028 461130 464284 466887 482164 491460 497535 509580 549810 553356 580355 597042 602705 622516 630211 663380 671662 691695 696426 723246 737190 778145 922260 933774 995070 1007493 1044639 1084869 1099620 1160710 1194084 1205410 1220459 1260422 1343324 1383390 1392852 1400661 1446492 1474380 1492605 1556290 1679155 1741065 1808115 1867548 1890633 1990140 2014986 2089278 2169738 2290279 2321420 2334435 2410820 2440918 2520844 2766780 2801322 2985210 3022479 3112580 3151055 3358310 3482130 3616230 3661377 3781266 4029972 4178556 4339476 4580558 4668870 4881836 4942181 5037465 5223195 5424345 5602644 5671899 5970420 6044958 6102295 6302110 6380789 6626519 6716620 6870837 6964260 7003305 7232460 7322754 7562532 9161116 9337740 9453165 9884362 10074930 10446390 10848690 10984131 11343798 11451395 12089916 12204590 12604220 12761578 13253038 13741674 14006610 14645508 14826543 15112395 18306885 18906330 19142367 19768724 19879557 20149860 20612511 20892780 21697380 21968262 22687596 22902790 23188721 24409180 24710905 25523156 26506076 27483348 28013220 28359495 29653086 30224790 31903945 33132595 34354185 36613770 37812660 38284734 39759114 41225022 43936524 44479629 45805580 46377442 49421810 50038819 54920655 56718990 57427101 59306172 59638671 60449580 63807890 66265190 68708370 69566163 73227540 74132715 76569468 79518228 82450044 88959258 92754884 93901439 95711835 98843620 99397785 100077638 103062555 109841310 113437980 114854202 115943605 119277342 125903861 127615780 132530380 137416740 139132326 148265430 150116457 177918516 187802878 191423670 198795570 200155276 206125110 208698489 219682620 222398145 229708404 231887210 238554684 250194095 251807722 271687279 278264652 281704317 287135505 296530860 298193355 300232914 347830815 375605756 377711583 382847340 397591140 412250220 417396978 444796290 450349371 463774420 469507195 500388190 503615444 543374558 563408634 574271010 596386710 600465828 629519305 695661630 750582285 755423166 815061837 834793956 845112951 889592580 900698742 939014390 950737561 987351331 1000776380 1043492445 1086749116 1126817268 1133134749 1148542020 1192773420 1259038610 1358436395 1391323260 1408521585 1501164570 1510846332 1630123674 1690225902 1801397484 1878028780 1888557915 1901475122 1974702662 2086984890 2251746855 2266269498 2445185511 2518077220 2716872790 2817043170 2852212683 2962053993 3002329140 3260247348 3380451804 3777115830 3802950244 3949405324 4075309185 4173969780 4225564755 4503493710 4532538996 4753687805 4890371022 4936756655 5162058301 5433745580 5634086340 5665673745 5704425366 5924107986 7554231660 8150618370 8451129510 8556638049 8886161979 9006987420 9507375610 9780742044 9873513310 10324116602 11331347490 11408850732 11848215972 12225927555 14261063415 14810269965 15486174903 16301236740 16902259020 17113276098 17772323958 18759675289 19014751220 19747026620 20648233204 22662694980 24451855110 25810291505 28522126830 29620539930 30972349806 34226552196 35544647916 37519350578 40481404571 42783190245 44430809895 46458524709 48903710220 51620583010 56279025867 57044253660 59241079860 61944699612 75038701156 77430874515 80962809142 85566380490 88861619790 92917049418 93798376445 103241166020 112558051734 121444213713 154861749030 161925618284 168837077601 171132760980 177723239580 185834098836 187596752890 202407022855 225116103468 232292623545 242888427426 281395129335 309723498060 337674155202 364332641139 375193505780 404814045710 464585247090 485776854852 562790258670 607221068565 675348310404 728665282278 769146686849 809628091420 844185388005 929170494180 1125580517340 1214442137130 1457330564556 1538293373698 1688370776010 1821663205695 2307440060547 2428884274260 3076586747396 3376741552020 3643326411390 3845733434245 4614880121094 6922320181641 7286652822780 7691466868490 9229760242188 11537200302735 13844640363282 15382933736980 23074400605470 27689280726564 34611600908205 46148801210940 69223201816410 138446403632820
- Sum of all divisors σ(n): 456497233920000
- Sum of proper divisors (its aliquot sum) s(n): 318050830287180
- 138446403632820 is an abundant number, because the sum of its proper divisors (318050830287180) is greater than itself. Its abundance is 179604426654360
Bases of 138446403632820
- Binary: 111110111101010100100001011010101111110101101002
- Hexadecimal: 0x7DEA90B57EB4
- Base-36: 1D2PEE5510
Squares and roots of 138446403632820
- 138446403632820 squared (1384464036328202) is 19167406678861714893381152400
- 138446403632820 cubed (1384464036328203) is 2653658521656098855917419476604278061768000
-
The
square root of 138446403632820 is 11766324.9841579677 -
The
cube root of 138446403632820 is 51732.1537421299
Scales and comparisons
How big is 138446403632820?- 138,446,403,632,820 seconds is equal to 4,402,167 years, 20 weeks, 2 days, 22 hours, 27 minutes.
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To count from 1 to 138,446,403,632,820 would take you about eleven million, five thousand, four 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 138446403632820 cubic inches would be around 4311 feet tall.
Recreational maths with 138446403632820
- 138446403632820 backwards is 028236304644831
- The number of decimal digits it has is: 15
- The sum of 138446403632820's digits is 54
- More coming soon!
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"Number 138446403632820 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 138446403632820 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/138446403632820/
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The information we have on file for 138446403632820 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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