138400368288
138,400,368,288 is an even composite number composed of seven prime numbers multiplied together.
138400368288 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138400368288:
25 × 3 × 73 × 13 × 43 × 73 × 103
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 13 × 43 × 73 × 103)See below for interesting mathematical facts about the number 138400368288 from the Numbermatics database.
Names of 138400368288
- Cardinal: 138400368288 can be written as One hundred thirty-eight billion, four hundred million, three hundred sixty-eight thousand, two hundred eighty-eight.
Scientific notation
- Scientific notation: 1.38400368288 × 1011
Factors of 138400368288
Divisors of 138400368288
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 43 48 49 52 56 73 78 84 86 91 96 98 103 104 112 129 146 147 156 168 172 182 196 206 208 219 224 258 273 292 294 301 309 312 336 343 344 364 392 412 416 438 511 516 546 559 584 588 602 618 624 637 672 686 688 721 728 784 824 876 903 949 1022 1029 1032 1092 1118 1168 1176 1204 1236 1248 1274 1339 1372 1376 1442 1456 1533 1568 1648 1677 1752 1806 1898 1911 2044 2058 2064 2107 2163 2184 2236 2336 2352 2408 2472 2548 2678 2744 2847 2884 2912 3066 3139 3296 3354 3504 3577 3612 3796 3822 3913 4017 4088 4116 4128 4214 4326 4368 4429 4459 4472 4704 4816 4944 5047 5096 5356 5488 5694 5768 6132 6278 6321 6643 6708 7008 7154 7224 7519 7592 7644 7826 8034 8176 8232 8428 8652 8736 8858 8918 8944 9373 9417 9632 9888 10094 10192 10712 10731 10976 11388 11536 11739 12264 12556 12642 13286 13287 13377 13416 14308 14448 14749 15038 15141 15184 15288 15652 16068 16352 16464 16856 17304 17716 17836 17888 18746 18834 19929 20188 20384 21424 21462 21973 22557 22776 23072 23478 24528 25039 25112 25284 26572 26574 26754 26832 27391 28119 28616 28896 29498 30076 30282 30368 30576 31003 31304 32136 32928 33712 34608 35329 35432 35672 37492 37668 39858 40376 40807 42848 42924 43946 44247 45114 45552 46501 46956 49056 50078 50224 50568 52633 53144 53148 53508 53664 54782 56238 57232 57577 58996 60152 60564 61152 62006 62608 64272 65611 65919 67424 69216 70658 70864 71344 74984 75117 75336 79716 80752 81614 82173 85848 87892 88494 90228 91104 93002 93009 93912 97747 100156 100448 101136 105266 105987 106288 106296 107016 109564 112476 114464 115154 117992 120304 121128 122421 124012 125216 128544 131222 131838 139503 141316 141728 142688 149968 150234 150672 153811 157899 159432 161504 163228 164346 171696 172731 175784 176988 180456 186004 186018 187824 191737 195494 196833 200312 202272 210532 211974 212576 212592 214032 217021 219128 224952 230308 235984 240608 242256 244842 248024 262444 263676 279006 282632 285649 293241 299936 300468 301344 307622 315798 318864 323317 325507 326456 328692 343392 345462 351568 353976 360912 368431 372008 372036 375648 383474 390988 393666 400624 403039 421064 423948 425184 428064 434042 438256 449904 459277 460616 461433 471968 484512 489684 496048 524888 527352 558012 565264 571298 575211 586482 600936 615244 631596 637728 646634 651014 651063 652912 657384 684229 690924 703136 707952 721824 736862 744016 744072 766948 781976 787332 801248 806078 842128 847896 856947 868084 876512 899808 918554 921232 922866 969951 976521 979368 992096 1049776 1054704 1076677 1105293 1116024 1130528 1142596 1150422 1172964 1201872 1209117 1230488 1263192 1293268 1302028 1302126 1305824 1314768 1368458 1377831 1381848 1415904 1473724 1488032 1488144 1519147 1533896 1563952 1574664 1612156 1684256 1695792 1713894 1736168 1837108 1842464 1845732 1939902 1953042 1958736 1999543 2052687 2099552 2109408 2153354 2210586 2232048 2263219 2285192 2300844 2345928 2403744 2418234 2460976 2526384 2579017 2586536 2604056 2604252 2629536 2736916 2755662 2763696 2821273 2947448 2976288 3038294 3067792 3127904 3149328 3224312 3230031 3391584 3427788 3472336 3674216 3691464 3879804 3906084 3917472 3999086 4105374 4203121 4306708 4421172 4464096 4526438 4557441 4570384 4601688 4691856 4789603 4836468 4921952 5052768 5158034 5173072 5208112 5208504 5473832 5511324 5527392 5642546 5894896 5998629 6076588 6135584 6298656 6448624 6460062 6789657 6855576 6944672 7348432 7382928 7737051 7759608 7812168 7998172 8210748 8406242 8463819 8613416 8842344 9052876 9114882 9140768 9203376 9383712 9579206 9672936 10316068 10346144 10416224 10417008 10947664 11022648 11285092 11789792 11997258 12153176 12609363 12897248 12920124 13579314 13711152 13996801 14368809 14696864 14765856 15474102 15519216 15624336 15842533 15996344 16421496 16812484 16927638 17226832 17684688 18105752 18229764 18406752 19158412 19345872 19748911 20632136 20834016 21895328 22045296 22570184 23994516 24306352 25218726 25840248 27158628 27422304 27993602 28737618 29421847 30948204 31038432 31248672 31685066 31992688 32842992 33527221 33624968 33855276 34453664 35369376 36211504 36459528 38316824 38691744 39497822 41264272 41990403 44090592 45140368 47527599 47989032 48612704 50437452 51680496 54317256 55987204 57475236 58843694 59246733 61896408 63370132 63985376 65685984 67054442 67249936 67710552 72423008 72919056 76633648 78995644 82528544 83980806 88265541 90280736 95055198 95978064 100581663 100874904 103360992 108634512 110897731 111974408 114950472 117687388 118493466 123792816 126740264 134108884 134499872 135421104 145838112 153267296 157991288 167961612 176531082 190110396 191956128 201163326 201749808 205952929 217269024 221795462 223948816 229900944 235374776 236986932 247585632 253480528 268217768 270842208 315982576 332693193 335923224 353062164 380220792 402326652 403499616 411905858 443590924 447897632 459801888 470749552 473973864 506961056 536435536 617858787 631965152 665386386 671846448 706124328 760441584 804653304 823811716 887181848 941499104 947947728 1072871072 1235717574 1330772772 1343692896 1412248656 1441670503 1520883168 1609306608 1647623432 1774363696 1895895456 2471435148 2661545544 2824497312 2883341006 3218613216 3295246864 3548727392 4325011509 4942870296 5323091088 5766682012 6590493728 8650023018 9885740592 10646182176 11533364024 17300046036 19771481184 23066728048 34600092072 46133456096 69200184144 138400368288
- Sum of all divisors σ(n): 477866188800
- Sum of proper divisors (its aliquot sum) s(n): 339465820512
- 138400368288 is an abundant number, because the sum of its proper divisors (339465820512) is greater than itself. Its abundance is 201065452224
Bases of 138400368288
- Binary: 100000001110010100111000000110101000002
- Hexadecimal: 0x20394E06A0
- Base-36: 1RKW07MO
Squares and roots of 138400368288
- 138400368288 squared (1384003682882) is 19154661942254036050944
- 138400368288 cubed (1384003682883) is 2651012267240095978305078730063872
-
The
square root of 138400368288 is 372021.9997365747 -
The
cube root of 138400368288 is 5172.6419220843
Scales and comparisons
How big is 138400368288?- 138,400,368,288 seconds is equal to 4,400 years, 36 weeks, 4 days, 2 hours, 44 minutes, 48 seconds.
-
To count from 1 to 138,400,368,288 would take you about eight thousand, eight hundred one 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 138400368288 cubic inches would be around 431.1 feet tall.
Recreational maths with 138400368288
- 138400368288 backwards is 882863004831
- The number of decimal digits it has is: 12
- The sum of 138400368288's digits is 51
- More coming soon!
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The information we have on file for 138400368288 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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