138932788564224
138,932,788,564,224 is an even composite number composed of five prime numbers multiplied together.
What does the number 138932788564224 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 810 divisors.
138932788564224 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred ten divisors.
Prime factorization of 138932788564224:
28 × 34 × 192 × 2572 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 19 × 19 × 257 × 257 × 281)See below for interesting mathematical facts about the number 138932788564224 from the Numbermatics database.
Names of 138932788564224
- Cardinal: 138932788564224 can be written as One hundred thirty-eight trillion, nine hundred thirty-two billion, seven hundred eighty-eight million, five hundred sixty-four thousand, two hundred twenty-four.
Scientific notation
- Scientific notation: 1.38932788564224 × 1014
Factors of 138932788564224
Divisors of 138932788564224
- Number of divisors d(n): 810
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 128 144 152 162 171 192 216 228 256 257 281 288 304 324 342 361 384 432 456 513 514 562 576 608 648 684 722 768 771 843 864 912 1026 1028 1083 1124 1152 1216 1296 1368 1444 1539 1542 1686 1728 1824 2052 2056 2166 2248 2304 2313 2432 2529 2592 2736 2888 3078 3084 3249 3372 3456 3648 4104 4112 4332 4496 4626 4864 4883 5058 5184 5339 5472 5776 6156 6168 6498 6744 6912 6939 7296 7587 8208 8224 8664 8992 9252 9747 9766 10116 10368 10678 10944 11552 12312 12336 12996 13488 13878 14592 14649 15174 16017 16416 16448 17328 17984 18504 19494 19532 20232 20736 20817 21356 21888 22761 23104 24624 24672 25992 26976 27756 29241 29298 30348 32034 32832 32896 34656 35968 37008 38988 39064 40464 41634 42712 43776 43947 45522 46208 48051 49248 49344 51984 53952 55512 58482 58596 60696 64068 65664 65792 66049 69312 71936 72217 74016 77976 78128 80928 83268 85424 87894 91044 92416 92777 96102 98496 98688 101441 103968 107904 111024 116964 117192 121392 128136 131328 131841 132098 138624 144153 144434 148032 155952 156256 161856 166536 170848 175788 182088 185554 192204 196992 197376 198147 202882 207936 215808 216651 222048 233928 234384 242784 256272 263682 264196 277248 278331 288306 288868 296064 304323 311904 312512 323712 333072 341696 351576 364176 371108 384408 393984 395523 396294 405764 415872 432459 433302 444096 467856 468768 485568 512544 527364 528392 556662 576612 577736 592128 594441 608646 623808 625024 647424 649953 666144 683392 703152 728352 742216 768816 791046 792588 811528 831744 834993 864918 866604 888192 912969 935712 937536 971136 1025088 1054728 1056784 1113324 1153224 1155472 1188882 1217292 1247616 1250048 1254931 1299906 1332288 1366784 1372123 1406304 1456704 1484432 1537632 1582092 1585176 1623056 1669986 1729836 1733208 1776384 1783323 1825938 1871424 1875072 1942272 1949859 2050176 2109456 2113568 2226648 2306448 2310944 2377764 2434584 2495232 2504979 2509862 2599812 2664576 2738907 2744246 2812608 2913408 2968864 3075264 3164184 3170352 3246112 3339972 3459672 3466416 3566646 3651876 3742848 3750144 3764793 3899718 4100352 4116369 4218912 4227136 4453296 4612896 4621888 4755528 4869168 5009958 5019724 5199624 5329152 5349969 5477814 5488492 5625216 5826816 5849577 5937728 6150528 6328368 6340704 6492224 6679944 6919344 6932832 7133292 7303752 7485696 7514937 7529586 7799436 8216721 8232738 8437824 8454272 8906592 9225792 9243776 9511056 9738336 10019916 10039448 10399248 10699938 10955628 10976984 11250432 11294379 11699154 11875456 12301056 12349107 12656736 12681408 12984448 13359888 13838688 13865664 14266584 14607504 15029874 15059172 15598872 16433442 16465476 16875648 16908544 17813184 18451584 18487552 18559769 19022112 19476672 20039832 20078896 20798496 21399876 21911256 21953968 22588758 23398308 23750912 23843689 24698214 25313472 25362816 25968896 26070337 26719776 27677376 27731328 28533168 29215008 30059748 30118344 31197744 32866884 32930952 33751296 33883137 35626368 36903168 37047321 37119538 38044224 38953344 40079664 40157792 41596992 42799752 43822512 43907936 45177516 46796616 47687378 49396428 50626944 50725632 52140674 53439552 55354752 55462656 55679307 57066336 58430016 60119496 60236688 62395488 65733768 65861904 67766274 71252736 71531067 74094642 74239076 76088448 77906688 78211011 80159328 80315584 83193984 85599504 87645024 87815872 90355032 93593232 95374756 98792856 101253888 101649411 104281348 106879104 110709504 111141963 111358614 114132672 116860032 120238992 120473376 124790976 131467536 131723808 135532548 143062134 148189284 148478152 152176896 156422022 160318656 160631168 166387968 167037921 171199008 175290048 175631744 180710064 187186464 190749512 197585712 203298822 208562696 213758208 214593201 222283926 222717228 228265344 233720064 234633033 240477984 240946752 249581952 262935072 263447616 271065096 286124268 296378568 296956304 312844044 320637312 321262336 334075842 342398016 350580096 351263488 352635611 361420128 374372928 381499024 395171424 406597644 417125392 429186402 444567852 445434456 456530688 469266066 480955968 481893504 499163904 501113763 525870144 526895232 542130192 572248536 592757136 593912608 625688088 641274624 643779603 668151684 684796032 701160192 703899099 705271222 722840256 748745856 762998048 790342848 813195288 834250784 858372804 889135704 890868912 938532132 961911936 963787008 1002227526 1051740288 1053790464 1057906833 1084260384 1144497072 1185514272 1187825216 1251376176 1287559206 1336303368 1369592064 1407798198 1410542444 1445680512 1497491712 1503341289 1525996096 1580685696 1626390576 1668501568 1716745608 1778271408 1781737824 1877064264 1923823872 1931338809 2004455052 2103480576 2111697297 2115813666 2168520768 2288994144 2371028544 2375650432 2502752352 2575118412 2672606736 2815596396 2821084888 2891361024 3006682578 3051992192 3161371392 3173720499 3252781152 3337003136 3433491216 3556542816 3563475648 3754128528 3862677618 4008910104 4223394594 4231627332 4337041536 4577988288 4742057088 4751300864 5005504704 5150236824 5345213472 5631192792 5642169776 6013365156 6103984384 6347440998 6505562304 6674006272 6700076609 6866982432 7113085632 7126951296 7508257056 7725355236 8017820208 8446789188 8463254664 8674083072 9155976576 9484114176 9521161497 10011009408 10300473648 10690426944 11262385584 11284339552 12026730312 12694881996 13011124608 13400153218 13733964864 14226171264 14253902592 15016514112 15450710472 16035640416 16893578376 16926509328 18311953152 19042322994 20022018816 20100229827 20600947296 21380853888 22524771168 22568679104 24053460624 25389763992 26022249216 26800306436 27467929728 28452342528 28563484491 30033028224 30901420944 32071280832 33787156752 33853018656 38084645988 40200459654 41201894592 42761707776 45049542336 45137358208 48106921248 50779527984 53600612872 54935859456 57126968982 60066056448 60300689481 61802841888 64142561664 67574313504 67706037312 76169291976 80400919308 82403789184 90099084672 90274716416 96213842496 101559055968 107201225744 114253937964 120601378962 123605683776 128285123328 135148627008 135412074624 152338583952 160801838616 164807578368 180198169344 180902068443 192427684992 203118111936 214402451488 228507875928 241202757924 247211367552 270297254016 270824149248 304677167904 321603677232 361804136886 384855369984 406236223872 428804902976 457015751856 482405515848 494422735104 540594508032 542706205329 609354335808 643207354464 723608273772 812472447744 857609805952 914031503712 964811031696 1085412410658 1218708671616 1286414708928 1447216547544 1715219611904 1828063007424 1929622063392 2170824821316 2437417343232 2572829417856 2894433095088 3656126014848 3859244126784 4341649642632 5145658835712 5788866190176 7312252029696 7718488253568 8683299285264 11577732380352 15436976507136 17366598570528 23155464760704 34733197141056 46310929521408 69466394282112 138932788564224
- Sum of all divisors σ(n): 440493732546714
- Sum of proper divisors (its aliquot sum) s(n): 301560943982490
- 138932788564224 is an abundant number, because the sum of its proper divisors (301560943982490) is greater than itself. Its abundance is 162628155418266
Bases of 138932788564224
- Binary: 111111001011011110011111000001010010001000000002
- Hexadecimal: 0x7E5BCF829100
- Base-36: 1D8WUB6800
Squares and roots of 138932788564224
- 138932788564224 squared (1389327885642242) is 19302319738231371071372722176
- 138932788564224 cubed (1389327885642243) is 2681725106990746623992216390435309485031424
-
The
square root of 138932788564224 is 11786975.3781122323 -
The
cube root of 138932788564224 is 51792.6641177261
Scales and comparisons
How big is 138932788564224?- 138,932,788,564,224 seconds is equal to 4,417,632 years, 48 weeks, 2 days, 3 hours, 50 minutes, 24 seconds.
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To count from 1 to 138,932,788,564,224 would take you about eleven million, forty-four thousand and eighty-two 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 138932788564224 cubic inches would be around 4316.1 feet tall.
Recreational maths with 138932788564224
- 138932788564224 backwards is 422465887239831
- 138932788564224 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138932788564224's digits is 72
- More coming soon!
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The information we have on file for 138932788564224 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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