138400007585103649
138,400,007,585,103,649 is an odd composite number composed of five prime numbers multiplied together.
138400007585103649 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 138400007585103649:
72 × 113 × 193 × 413 × 672
(7 × 7 × 11 × 11 × 11 × 19 × 19 × 19 × 41 × 41 × 41 × 67 × 67)See below for interesting mathematical facts about the number 138400007585103649 from the Numbermatics database.
Names of 138400007585103649
- Cardinal: 138400007585103649 can be written as One hundred thirty-eight quadrillion, four hundred trillion, seven billion, five hundred eighty-five million, one hundred three thousand, six hundred forty-nine.
Scientific notation
- Scientific notation: 1.38400007585103649 × 1017
Factors of 138400007585103649
Divisors of 138400007585103649
- Number of divisors d(n): 576
-
Complete list of divisors:
1 7 11 19 41 49 67 77 121 133 209 287 361 451 469 539 737 779 847 931 1273 1331 1463 1681 2009 2299 2527 2747 3157 3283 3971 4489 4961 5159 5453 5929 6859 8107 8569 8911 9317 10241 11767 14003 14801 16093 17689 18491 19229 22099 24187 25289 27797 30217 31423 31939 34727 36113 38171 43681 48013 49379 52193 54571 56749 59983 62377 65219 68921 75449 82369 85291 89177 94259 98021 103607 112627 112651 129437 134603 154033 162811 169309 177023 184049 194579 203401 211519 219961 223573 243089 266057 281219 305767 332387 336091 345653 351329 365351 381997 397243 419881 459553 480491 482447 528143 543169 574123 597037 606841 624239 659813 686147 725249 758131 788389 829939 906059 938201 991667 1036849 1078231 1139677 1185163 1238897 1239161 1288343 1309499 1423807 1480633 1565011 1620529 1694363 1790921 1862399 1968533 2024539 2139913 2140369 2237411 2326709 2419571 2459303 2557457 2673979 2926627 3093409 3216871 3363437 3377129 3496931 3656257 3697001 3802183 3864619 4018861 4179259 4247887 4369673 4617707 4618691 5055083 5306917 5518723 5809573 5974859 6315353 6567407 6675251 6941669 7257943 7546009 7547617 7977739 8339441 8672279 9018401 9129329 9166493 9966649 10320211 10908337 11343703 11529979 11860541 12536447 13036793 13627867 13779731 14171773 14404489 14979391 15661877 16286963 17215121 17825819 18841673 19700131 20486389 21653863 22269929 22518097 23539043 23544059 24478517 24880481 25593799 26615281 27052333 28132027 29735209 30790051 32192897 32323949 34027499 35385581 37148419 38466241 40658347 40667011 41824013 42510809 44207471 45971849 46726757 48591683 50794777 50805601 52822063 55605913 58376087 60705953 63905303 64165451 66441689 69468883 72241477 73427761 76358359 79405921 80709853 83006099 83023787 87736433 87755129 91733851 95395069 99202411 100831423 104855737 109633139 113522321 119991707 124780733 126829769 131891711 137900917 143374171 143404723 149906537 151577041 155889503 158449379 164773301 171349619 174163367 179156593 189366331 196084009 207258403 215530357 225350279 226267643 238192493 244969219 247699067 258929473 269263687 273685291 284608429 292768091 297575663 309386369 309452297 327087299 338690561 355563439 369754441 374302489 389241391 408632609 423128651 447241817 447337121 465091823 472729139 486282181 505690339 513994327 534508513 558742547 564968971 581042693 611665043 614155031 642136957 667765483 705819961 730858579 772508593 794656247 807705371 839941949 873465131 887808383 913067089 923241977 965100763 965306419 1003619197 1049345759 1091226521 1109145653 1153413107 1219143569 1262392091 1319908777 1372588063 1395127459 1450808821 1508712499 1577115881 1577451953 1666992227 1667347451 1714784533 1742943169 1812506311 1884845809 1915797037 1992259003 2083029641 2156924099 2165704583 2279842433 2370833927 2488944073 2620117423 2724109249 2724689737 2848224203 2961900557 3010538201 3130692719 3255642761 3309103973 3403250059 3403975267 3597960289 3725596171 3911197829 4067298851 4281655301 4299085217 4494958699 4654415161 4919659987 5116010053 5200020529 5407560151 5562593729 5653937597 5878341011 5879593643 6146168017 6214658681 6391469623 6755705341 7025334379 7345420313 7764019571 8039444369 8497594523 8836744637 9239361439 9608116441 9765892213 10043737979 10155661747 10616108393 11039811167 11668945589 12003491731 12200602183 12687544177 13410579259 13886313001 15098468693 15159932081 15346402049 15958897031 16595837489 17348274691 18336914497 18340821961 19068764743 19937569421 20733303899 21073767407 21914849033 23163727811 23822750413 25078266763 26079173197 27378384803 29965201739 29971587107 31672852313 32580906127 33115920211 34437619909 35812070371 36400143703 37435750649 37852921057 39577563179 40981557881 41148387077 43023176119 44740287361 47289937387 51758075731 54116259857 56276110583 57200225819 59483161661 61857212459 64661751121 64675530073 68361245491 70306165853 74312758751 77278678169 81682619123 85404215281 88433888059 93473539753 97204191007 105689280851 107424814343 111688479209 111712279217 116777192323 121437922837 128358401479 133481353201 139562985947 147516371849 152749443011 166759252891 175547867341 182554212379 190831021601 201706059467 209756412173 221709966191 228066342889 231811441477 241063339363 254801005921 262050254543 286870905167 288038709539 301162232833 329617219129 348401375443 362306530117 378813818999 393932774081 400401580733 411793257139 416382131627 452632257847 492143160971 520189311257 569338833041 619037216413 629202484009 654314778271 680429337049 711279262331 751973700401 781819354463 817440346261 850065459859 898508810353 1028208937283 1069246101077 1228573271299 1228835071387 1335817151207 1411942416269 1468294885211 1551969763337 1622680090339 1680243873121 1834351781801 2008096336169 2122081104971 2218766654137 2307320533903 2438809628101 2536145710819 2651696732993 2802811065131 2882552799973 3168425804929 3625789410419 3832415129873 3985371831287 4333260514891 4404417388063 4580203447897 4978954836317 5472735481241 5722082423827 6262727163451 7197462560981 7484722707539 7824071885641 8600012899093 9350720058449 9883596913883 11761707111847 13514305984289 14854567734797 15531366578959 16151243737321 17071667396707 20177869599811 23342892154681 25380525872933 26826905909111 27897602819009 30830921716441 34852683854219 42156566428603 43839090144157 50382237926867 54768503199487 60200090293651 68889998797961 82331949782929 94600141890023 103981974143579 108719566052713 148657365827179 163400245082767 177663681110531 187788341363777 256771813701491 295095965000221 306873631009099 383379522396409 482229991585727 662200993230161 1040601560790253 1143801715579369 1797402695910437 2065671755001547 2824489950716401 3375609941100089 7284210925531771 12581818871373059 19771429655014807 138400007585103649
- Sum of all divisors σ(n): 194495164760252160
- Sum of proper divisors (its aliquot sum) s(n): 56095157175148511
- 138400007585103649 is a deficient number, because the sum of its proper divisors (56095157175148511) is less than itself. Its deficiency is 82304850409955138
Bases of 138400007585103649
- Binary: 1111010111011001000010010110110010000010101111111001000012
- Hexadecimal: 0x1EBB212D9057F21
- Base-36: 11UQPHR1V9K1
Squares and roots of 138400007585103649
- 138400007585103649 squared (1384000075851036492) is 19154562099556747576997366073115201
- 138400007585103649 cubed (1384000075851036493) is 2650991539867992741001422793373773682974911902468449
-
The
square root of 138400007585103649 is 372021514.9492078087 -
The
cube root of 138400007585103649 is 517263.7428385949
Scales and comparisons
How big is 138400007585103649?- 138,400,007,585,103,649 seconds is equal to 4,400,692,141 years, 45 weeks, 3 days, 9 hours, 40 minutes, 49 seconds.
-
To count from 1 to 138,400,007,585,103,649 would take you about thirteen billion, two hundred two million, seventy-six thousand, four hundred twenty-five 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 138400007585103649 cubic inches would be around 43105.3 feet tall.
Recreational maths with 138400007585103649
- 138400007585103649 backwards is 946301585700004831
- The number of decimal digits it has is: 18
- The sum of 138400007585103649's digits is 64
- More coming soon!
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The information we have on file for 138400007585103649 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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