137528922303136
137,528,922,303,136 is an even composite number composed of five prime numbers multiplied together.
137528922303136 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 137528922303136:
25 × 73 × 132 × 192 × 593
(2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 13 × 13 × 19 × 19 × 59 × 59 × 59)See below for interesting mathematical facts about the number 137528922303136 from the Numbermatics database.
Names of 137528922303136
- Cardinal: 137528922303136 can be written as One hundred thirty-seven trillion, five hundred twenty-eight billion, nine hundred twenty-two million, three hundred three thousand, one hundred thirty-six.
Scientific notation
- Scientific notation: 1.37528922303136 × 1014
Factors of 137528922303136
Divisors of 137528922303136
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 7 8 13 14 16 19 26 28 32 38 49 52 56 59 76 91 98 104 112 118 133 152 169 182 196 208 224 236 247 266 304 338 343 361 364 392 413 416 472 494 532 608 637 676 686 722 728 767 784 826 931 944 988 1064 1121 1183 1274 1352 1372 1444 1456 1534 1568 1652 1729 1862 1888 1976 2128 2242 2366 2527 2548 2704 2744 2888 2891 2912 3068 3211 3304 3458 3481 3724 3952 4256 4459 4484 4693 4732 5054 5096 5369 5408 5488 5776 5782 6136 6422 6517 6608 6916 6962 7448 7847 7904 8281 8918 8968 9386 9464 9971 10108 10192 10738 10976 11552 11564 12103 12272 12844 13034 13216 13832 13924 14573 14896 15694 16562 17689 17836 17936 18772 18928 19942 20216 20237 20384 21299 21476 22477 23128 24206 24367 24544 25688 26068 27664 27848 29146 29792 31388 32851 33124 35378 35672 35872 37544 37583 37856 39884 40432 40474 42598 42952 44954 45253 46256 48412 48734 51376 52136 54929 55328 55696 57967 58292 61009 62776 65702 66139 66248 69797 70756 71344 75088 75166 79768 80864 80948 84721 85196 85904 89908 90506 92512 96824 97468 102011 102752 104272 109858 111392 115934 116584 122018 123823 125552 131404 132278 132496 139594 141512 142688 149093 150176 150332 157339 159536 161896 169442 170392 170569 171808 179816 181012 189449 193648 194936 204022 205379 208544 219716 229957 231868 233168 244036 247646 251104 262808 263081 264556 264992 276887 279188 283024 298186 300664 314678 316771 319072 323792 338884 340784 341138 359632 362024 378898 384503 387296 389872 408044 410758 427063 439432 459914 462973 463736 466336 488072 488579 495292 525616 526162 529112 553774 558376 566048 588289 596372 601328 629356 633542 647584 677768 681568 682276 714077 719264 724048 757796 769006 779744 816088 821516 854126 859807 878864 919828 925946 927472 976144 977158 990584 1043651 1051232 1052324 1058224 1101373 1107548 1116752 1176578 1192744 1193983 1202656 1256641 1258712 1267084 1326143 1355536 1364552 1428154 1437653 1448096 1515592 1538012 1609699 1632176 1643032 1708252 1719614 1757728 1839656 1851892 1854944 1938209 1952288 1954316 1981168 2087302 2104648 2116448 2202746 2215096 2217397 2233504 2353156 2385488 2387966 2513282 2517424 2534168 2652286 2669927 2711072 2729104 2856308 2875306 2989441 3031184 3076024 3219398 3240811 3264352 3286064 3416504 3420053 3439228 3599531 3679312 3703784 3876418 3902201 3908632 3962336 4118023 4174604 4209296 4405492 4430192 4434794 4706312 4770976 4775932 4998539 5026564 5034848 5068336 5304572 5339854 5458208 5712616 5750612 5978882 6018649 6062368 6152048 6438796 6481622 6572128 6833008 6840106 6878456 7199062 7305557 7358624 7407568 7752836 7804402 7817264 8236046 8349208 8418592 8796487 8810984 8860384 8869588 9283001 9412624 9551864 9997078 10053128 10063571 10136672 10609144 10679708 11177491 11425232 11501224 11957764 12037298 12304096 12877592 12963244 13567463 13666016 13680212 13756912 14398124 14611114 14815136 15505672 15521779 15608804 15634528 16336333 16472092 16698416 17592974 17621968 17739176 18566002 18689489 18825248 19103728 19994156 20106256 20127142 20926087 21218288 21359416 22354982 22685677 22850464 23002448 23915528 24074596 25196717 25755184 25926488 27134926 27315407 27360424 27513824 28796248 28826161 29222228 31011344 31043558 31217608 32672666 32944184 33396832 34709051 35185948 35243936 35478352 37132004 37378978 38207456 39988312 40212512 40254284 41852174 42130543 42436576 42718832 44709964 45371354 46004896 47831056 48149192 50393434 50728613 51510368 51852976 54269852 54630814 54720848 57592496 57652322 58444456 61575409 62022688 62087116 62435216 64981007 65345332 65888368 69418102 70371896 70444997 70956704 74141819 74264008 74757956 78242437 79976624 80508568 83704348 84261086 85437664 89419928 90742708 94972241 95662112 96298384 100786868 101457226 103705952 108539704 109261628 109441696 114354331 115184992 115304644 116888912 123150818 124174232 124870432 129962014 130690664 130826423 131776736 138836204 140743792 140889994 148283638 148528016 149515912 156484874 159953248 161017136 167408696 168522172 176377019 178839856 181485416 189944482 191207849 192596768 201573736 201783127 202914452 212372329 217079408 218523256 228708662 230609288 233777824 242963357 246301636 248348464 259924028 261381328 261652846 277672408 281487584 281779988 294913801 296567276 297056032 299031824 312969748 322034272 334817392 337044344 352754038 355100291 357679712 362970832 379888964 382415698 403147472 403566254 405828904 424744658 431027863 434158816 437046512 457417324 461218576 485926714 492603272 496696928 518992733 519848056 522762656 523305692 547697059 555344816 563559976 589827602 593134552 598063648 625939496 659471969 669634784 674088688 705508076 710200582 725941664 759777928 764831396 800480317 806294944 807132508 811657808 849489316 862055726 874093024 914834648 915784961 922437152 963843647 971853428 985206544 1037985466 1039696112 1046611384 1095394118 1110689632 1127119952 1179655204 1186269104 1234639133 1251878992 1318943938 1338454943 1348177376 1411016152 1420401164 1486606303 1519555856 1529662792 1600960634 1614265016 1623315616 1698978632 1700743499 1724111452 1829669296 1831569922 1927687294 1943706856 1970413088 2075970932 2079392224 2093222768 2190788236 2254239904 2359310408 2372538208 2469278266 2485702037 2503757984 2637887876 2676909886 2822032304 2840802328 2973212606 3039111712 3059325584 3201921268 3228530032 3397957264 3401486998 3448222904 3632949131 3659338592 3663139844 3833879413 3855374588 3887413712 4151941864 4186445536 4381576472 4616303783 4718620816 4938556532 4971404074 5275775752 5353819772 5603362219 5644064608 5681604656 5946425212 6118651168 6403842536 6457060064 6746905529 6795914528 6802973996 6896445808 7265898262 7326279688 7667758826 7710749176 7774827424 8303883728 8763152944 9232607566 9437241632 9877113064 9942808148 10406244121 10551551504 10707639544 11206724438 11363209312 11892850424 11905204493 12529967411 12807685072 13493811058 13605947992 13792891616 14531796524 14652559376 15335517652 15421498352 16607767456 17399914259 17526305888 18465215132 19754226128 19885616296 20812488242 21103103008 21415279088 22413448876 23785700848 23810408986 25059934822 25430643917 25615370144 26987622116 27211895984 29063593048 29305118752 30671035304 30842996704 32314126481 34799828518 36930430264 39508452256 39771232592 41624976484 42830558176 44826897752 47228338703 47571401696 47620817972 50119869644 50861287834 53975244232 54423791968 58127186096 61342070608 64628252962 69599657036 72843708847 73860860528 79542465184 83249952968 87709771877 89653795504 94456677406 95241635944 100239739288 101722575668 107950488464 116254372192 122684141216 129256505924 139199314072 145687417694 147721721056 166499905936 175419543754 179307591008 188913354812 190483271888 200479478576 203445151336 215900976928 226198885367 258513011848 278398628144 291374835388 330598370921 332999811872 350839087508 377826709624 380966543776 400958957152 406890302672 452397770734 517026023696 556797256288 582749670776 613968403139 661196741842 701678175016 755653419248 813780605344 904795541468 1034052047392 1165499341552 1227936806278 1322393483684 1403356350032 1511306838496 1809591082936 2330998683104 2455873612556 2644786967368 2806712700064 3619182165872 4297778821973 4911747225112 5289573934736 7238364331744 8595557643946 9823494450224 10579147869472 17191115287892 19646988900448 34382230575784 68764461151568 137528922303136
- Sum of all divisors σ(n): 367076534832000
- Sum of proper divisors (its aliquot sum) s(n): 229547612528864
- 137528922303136 is an abundant number, because the sum of its proper divisors (229547612528864) is greater than itself. Its abundance is 92018690225728
Bases of 137528922303136
- Binary: 111110100010100111100101000111101101010101000002
- Hexadecimal: 0x7D14F28F6AA0
- Base-36: 1CQZWXG49S
Squares and roots of 137528922303136
- 137528922303136 squared (1375289223031362) is 18914204469862018690675434496
- 137528922303136 cubed (1375289223031363) is 2601250156961281205448536855933081823379456
-
The
square root of 137528922303136 is 11727272.5858630915 -
The
cube root of 137528922303136 is 51617.6244183127
Scales and comparisons
How big is 137528922303136?- 137,528,922,303,136 seconds is equal to 4,372,994 years, 16 weeks, 6 days, 1 hour, 32 minutes, 16 seconds.
-
To count from 1 to 137,528,922,303,136 would take you about ten million, nine hundred thirty-two thousand, four hundred eighty-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 137528922303136 cubic inches would be around 4301.5 feet tall.
Recreational maths with 137528922303136
- 137528922303136 backwards is 631303229825731
- The number of decimal digits it has is: 15
- The sum of 137528922303136's digits is 55
- More coming soon!
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"Number 137528922303136 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
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Numbermatics. (2024). Number 137528922303136 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/137528922303136/
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The information we have on file for 137528922303136 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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