138158084064
138,158,084,064 is an even composite number composed of seven prime numbers multiplied together.
138158084064 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138158084064:
25 × 3 × 73 × 11 × 132 × 37 × 61
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 11 × 13 × 13 × 37 × 61)See below for interesting mathematical facts about the number 138158084064 from the Numbermatics database.
Names of 138158084064
- Cardinal: 138158084064 can be written as One hundred thirty-eight billion, one hundred fifty-eight million, eighty-four thousand and sixty-four.
Scientific notation
- Scientific notation: 1.38158084064 × 1011
Factors of 138158084064
Divisors of 138158084064
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 32 33 37 39 42 44 48 49 52 56 61 66 74 77 78 84 88 91 96 98 104 111 112 122 132 143 147 148 154 156 168 169 176 182 183 196 208 222 224 231 244 259 264 273 286 294 296 308 312 336 338 343 352 364 366 392 407 416 427 429 444 462 481 488 507 518 528 539 546 572 588 592 616 624 637 671 672 676 686 728 732 777 784 793 814 854 858 888 924 962 976 1001 1014 1029 1036 1056 1078 1092 1144 1176 1183 1184 1221 1232 1248 1274 1281 1342 1352 1372 1443 1456 1464 1554 1568 1586 1617 1628 1708 1716 1776 1813 1848 1859 1911 1924 1952 2002 2013 2028 2058 2072 2156 2184 2257 2288 2352 2366 2379 2442 2464 2548 2562 2684 2704 2744 2849 2886 2912 2928 2989 3003 3108 3172 3234 3256 3367 3416 3432 3549 3552 3626 3696 3718 3773 3822 3848 4004 4026 4056 4116 4144 4312 4368 4459 4514 4576 4697 4704 4732 4758 4884 5096 5124 5291 5368 5408 5439 5488 5551 5577 5698 5772 5856 5978 6006 6216 6253 6344 6468 6512 6734 6771 6832 6864 7007 7098 7252 7392 7436 7546 7644 7696 8008 8052 8112 8232 8281 8288 8547 8624 8723 8736 8918 8967 9028 9394 9464 9516 9768 10101 10192 10248 10309 10582 10736 10878 10976 11102 11154 11319 11396 11544 11956 12012 12432 12506 12688 12691 12936 13013 13024 13377 13468 13542 13664 13728 14014 14091 14196 14504 14872 15092 15288 15392 15799 15873 16016 16104 16224 16464 16562 16653 17094 17248 17446 17836 17934 18056 18759 18788 18928 19032 19536 19943 20202 20384 20496 20618 20923 21021 21164 21472 21756 22204 22308 22638 22792 23088 23569 23912 24024 24827 24843 24864 25012 25376 25382 25872 26026 26169 26754 26936 27084 28028 28182 28392 29008 29341 29744 30184 30576 30927 31598 31746 32032 32208 32879 32928 33124 33306 34188 34892 35672 35868 36112 37037 37518 37576 37856 38064 38073 38857 39039 39072 39886 40404 40992 41236 41846 42042 42328 43512 43771 44408 44616 45276 45584 46176 47138 47397 47824 48048 49049 49654 49686 50024 50764 51744 52052 52338 53508 53872 54168 56056 56364 56784 57967 58016 58682 59488 59829 60368 61061 61152 61854 62769 63196 63492 64416 65758 66248 66612 68376 68783 69784 70707 71344 71736 72163 72224 74074 74481 75036 75152 76128 76146 77714 78078 79772 80808 82472 83692 84084 84656 87024 87542 88023 88816 89232 90552 91091 91168 94276 94794 95648 96096 98098 98637 99308 99372 100048 101528 104104 104676 107016 107744 108336 110593 111111 112112 112728 113399 113568 115934 116571 117364 119658 120736 122122 123708 125538 126392 126984 131313 131516 132496 133224 136752 137566 139568 139601 141414 142688 143472 144326 147147 148148 148962 150072 150304 152292 155428 156156 159544 161616 164944 164983 167384 168168 169312 173789 173901 174048 175084 176046 177632 178464 181104 182182 183183 188552 189588 196196 197274 198616 198744 200096 203056 205387 206349 208208 209352 214032 216489 216672 221186 222222 224224 225456 226798 230153 231868 233142 234728 239316 244244 247416 251076 252784 253968 259259 262626 263032 264992 266448 271999 273273 273504 275132 279136 279202 282828 286944 288652 294294 296296 297924 300144 304584 306397 310856 312312 319088 322751 323232 329888 329966 331779 334768 336336 340197 347578 347802 350168 352092 362208 364364 366366 377104 379176 381433 392392 394548 397232 397488 406112 410774 412698 416416 418704 418803 427427 428064 432978 442372 444444 450912 453596 460306 463736 466284 469456 478632 481481 488488 494832 494949 502152 505141 505568 507936 518518 521367 525252 526064 532896 543998 546546 550264 558404 565656 577304 588588 592592 595848 600288 609168 612794 616161 621712 624624 637637 638176 645502 659932 663558 669536 672672 680394 690459 695156 695604 700336 704184 728728 732732 754208 758352 762866 774151 777777 784784 789096 793793 794464 794976 815997 821548 825396 837408 837606 854854 865956 884744 888888 907192 919191 920612 927472 932568 938912 957264 962962 968253 976976 989664 989898 1004304 1010282 1037036 1042734 1050504 1052128 1087996 1093092 1100528 1116808 1131312 1144299 1154608 1177176 1185184 1191696 1216523 1218336 1225588 1232322 1243424 1249248 1275274 1282281 1291004 1319864 1327116 1360788 1380918 1390312 1391208 1400672 1408368 1437709 1444443 1457456 1465464 1515423 1516704 1525732 1548302 1555554 1569568 1578192 1587586 1631994 1643096 1650792 1675212 1709708 1731912 1769488 1777776 1814384 1814813 1838382 1841224 1854944 1865136 1912911 1914528 1925924 1936506 1953952 1979796 2008608 2020564 2074072 2085468 2101008 2144779 2175992 2186184 2201056 2233616 2259257 2262624 2288598 2309216 2322453 2354352 2381379 2383392 2433046 2451176 2464644 2550548 2564562 2582008 2639728 2654232 2670031 2721576 2761836 2780624 2782416 2816736 2875418 2888886 2914912 2930928 2991989 3030846 3051464 3096604 3111108 3156384 3175172 3263988 3286192 3301584 3350424 3370367 3419416 3463824 3535987 3538976 3555552 3628768 3629626 3649569 3676764 3682448 3730272 3825822 3851848 3873012 3959592 4041128 4148144 4170936 4195763 4202016 4289558 4313127 4351984 4372368 4467232 4518514 4577196 4644906 4708704 4762758 4866092 4902352 4929288 5101096 5129124 5164016 5279456 5308464 5340062 5443152 5444439 5523672 5556551 5561248 5564832 5750836 5777772 5861856 5983978 6061692 6102928 6193208 6222216 6350344 6434337 6527976 6572384 6603168 6700848 6740734 6777771 6838832 6927648 7071974 7259252 7299138 7353528 7364896 7651644 7703696 7746024 7919184 8010093 8082256 8296288 8341872 8391526 8515661 8579116 8626254 8703968 8744736 8975967 9037028 9154392 9289812 9525516 9732184 9804704 9858576 10063963 10111101 10202192 10258248 10328032 10607961 10616928 10680124 10886304 10888878 11047344 11113102 11501672 11555544 11967956 12123384 12205856 12386416 12444432 12587289 12700688 12868674 13055952 13401696 13481468 13555542 13677664 14143948 14518504 14598276 14707056 15303288 15407392 15492048 15814799 15838368 16020186 16164512 16669653 16683744 16783052 17031322 17158232 17252508 17951934 18074056 18308784 18579624 18690217 19051032 19464368 19717152 20127926 20222202 20404384 20516496 21215922 21360248 21777756 22094688 22226204 23003344 23111088 23592569 23935912 24246768 24772832 24888864 25174578 25401376 25546983 25737348 26111904 26962936 27111084 28287896 29037008 29196552 29370341 29414112 30191889 30606576 30984096 31629598 32040372 33339306 33566104 34062644 34316464 34505016 35903868 36148112 36617568 37159248 37380434 38102064 38895857 38928736 40255852 40444404 41032992 42431844 42720496 43555512 44452408 46006688 46222176 47185138 47444397 47871824 48493536 50349156 51093966 51474696 53925872 54222168 56070651 56575792 58074016 58393104 58740682 60383778 61213152 63259196 64080744 66678612 67132208 68125288 68632928 69010032 70777707 71807736 72296224 74318496 74760868 76204128 77791714 80511704 80888808 84863688 85440992 87111024 88111023 88904816 94370276 94888794 95743648 100698312 102187932 102949392 107851744 108444336 110703593 112141302 113151584 116687571 116786208 117481364 120767556 126518392 128161488 130831519 133357224 134264416 136250576 138020064 141555414 143615472 149521736 155583428 161023408 161777616 169727376 174222048 176222046 177809632 188740552 189777588 201396624 204375864 205592387 205898784 216888672 221407186 224282604 233375142 234962728 241535112 253036784 256322976 261663038 266714448 272501152 283110828 287230944 299043472 311166856 322046816 323555232 332110779 339454752 352444092 377481104 379555176 392494557 402793248 408751728 411184774 442814372 448565208 466750284 469925456 483070224 506073568 523326076 533428896 566221656 598086944 616777161 622333712 664221558 704888184 754962208 759110352 784989114 817503456 822369548 885628744 897130416 933500568 939850912 966140448 1046652152 1132443312 1233554322 1244667424 1328443116 1409776368 1439146709 1518220704 1569978228 1644739096 1771257488 1794260832 1867001136 2093304304 2264886624 2467108644 2656886232 2819552736 2878293418 3139956456 3289478192 3542514976 3734002272 4186608608 4317440127 4934217288 5313772464 5756586836 6279912912 6578956384 8634880254 9868434576 10627544928 11513173672 12559825824 17269760508 19736869152 23026347344 34539521016 46052694688 69079042032 138158084064
- Sum of all divisors σ(n): 521516620800
- Sum of proper divisors (its aliquot sum) s(n): 383358536736
- 138158084064 is an abundant number, because the sum of its proper divisors (383358536736) is greater than itself. Its abundance is 245200452672
Bases of 138158084064
- Binary: 100000001010101101110100001111111000002
- Hexadecimal: 0x202ADD0FE0
- Base-36: 1RGVR7XC
Squares and roots of 138158084064
- 138158084064 squared (1381580840642) is 19087656192235290756096
- 138158084064 cubed (1381580840643) is 2637114008791573444348193288454144
-
The
square root of 138158084064 is 371696.2255175589 -
The
cube root of 138158084064 is 5169.6217433179
Scales and comparisons
How big is 138158084064?- 138,158,084,064 seconds is equal to 4,392 years, 51 weeks, 6 days, 21 hours, 34 minutes, 24 seconds.
-
To count from 1 to 138,158,084,064 would take you about eight thousand, seven 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 138158084064 cubic inches would be around 430.8 feet tall.
Recreational maths with 138158084064
- 138158084064 backwards is 460480851831
- 138158084064 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138158084064's digits is 48
- More coming soon!
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The information we have on file for 138158084064 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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