138292158488848
138,292,158,488,848 is an even composite number composed of six prime numbers multiplied together.
What does the number 138292158488848 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 840 divisors.
138292158488848 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred forty divisors.
Prime factorization of 138292158488848:
24 × 76 × 132 × 31 × 37 × 379
(2 × 2 × 2 × 2 × 7 × 7 × 7 × 7 × 7 × 7 × 13 × 13 × 31 × 37 × 379)See below for interesting mathematical facts about the number 138292158488848 from the Numbermatics database.
Names of 138292158488848
- Cardinal: 138292158488848 can be written as One hundred thirty-eight trillion, two hundred ninety-two billion, one hundred fifty-eight million, four hundred eighty-eight thousand, eight hundred forty-eight.
Scientific notation
- Scientific notation: 1.38292158488848 × 1014
Factors of 138292158488848
Divisors of 138292158488848
- Number of divisors d(n): 840
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Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 31 37 49 52 56 62 74 91 98 104 112 124 148 169 182 196 208 217 248 259 296 338 343 364 379 392 403 434 481 496 518 592 637 676 686 728 758 784 806 868 962 1036 1147 1183 1274 1352 1372 1456 1516 1519 1612 1736 1813 1924 2072 2294 2366 2401 2548 2653 2704 2744 2821 3032 3038 3224 3367 3472 3626 3848 4144 4459 4588 4732 4802 4927 5096 5239 5306 5488 5642 6064 6076 6253 6448 6734 7252 7696 8029 8281 8918 9176 9464 9604 9854 10192 10478 10612 10633 11284 11749 12152 12506 12691 13468 14023 14504 14911 16058 16562 16807 17836 18352 18571 18928 19208 19708 19747 20956 21224 21266 22568 23498 23569 24304 25012 25382 26936 28046 29008 29822 31213 32116 33124 33614 34489 35672 36673 37142 38416 39416 39494 41912 42448 42532 43771 45136 46996 47138 50024 50764 53872 56092 56203 57967 59644 62426 64051 64232 66248 67228 68978 71344 73346 74284 74431 78832 78988 82243 83824 85064 87542 88837 93992 94276 98161 100048 101528 104377 112184 112406 115934 117649 119288 124852 128102 128464 129997 132496 134456 137956 138229 146692 148568 148862 152737 157976 164486 164983 170128 175084 177674 182299 187984 188552 193843 196322 203056 208754 218491 224368 224812 231868 235298 238576 241423 249704 256204 256711 259994 268912 275912 276458 293384 297136 297724 305474 306397 315952 328972 329966 350168 355348 364598 377104 387686 392644 393421 405769 417508 434713 436982 448357 449624 463736 470596 482846 499408 512408 513422 519988 521017 551824 552916 575701 586768 595448 610948 612794 621859 657944 659932 687127 700336 710696 729196 730639 775372 785288 786842 811538 835016 869426 873964 896714 899248 909979 927472 941192 965692 967603 1024816 1026844 1039976 1042034 1069159 1105832 1151402 1154881 1190896 1221896 1225588 1243718 1276093 1315888 1319864 1356901 1374254 1421392 1458392 1461278 1529437 1550744 1570576 1573684 1623076 1670032 1689961 1738852 1747928 1793428 1796977 1819958 1882384 1931384 1935206 1985581 2053688 2079952 2084068 2138318 2144779 2211664 2302804 2309762 2369887 2443792 2451176 2487436 2552186 2639728 2713802 2748508 2753947 2840383 2916784 2922556 3042991 3058874 3101488 3138499 3147368 3246152 3379922 3477704 3495856 3586856 3593954 3639916 3647119 3862768 3870412 3971162 4029907 4107376 4168136 4276636 4289558 4353013 4605608 4619524 4739774 4809889 4902352 4974872 5104372 5114473 5427604 5497016 5507894 5651269 5680766 5845112 6085982 6117748 6276998 6294736 6369853 6492304 6759844 6773221 6955408 7173712 7187908 7279832 7294238 7484113 7740824 7942324 8059814 8084167 8336272 8553272 8579116 8706026 8932651 9211216 9239048 9479548 9498307 9619778 9949744 10208744 10228946 10855208 10994032 11015788 11302538 11361532 11690224 11829727 12171964 12235496 12553996 12578839 12739706 13519688 13546442 13899067 14375816 14559664 14588476 14968226 15013453 15481648 15884648 16119628 16168334 16589209 17106544 17158232 17412052 17865302 18478096 18959096 18996614 19239556 19277629 19882681 20417488 20457892 21300937 21710416 21969493 22031576 22605076 22723064 23659454 24343928 24470992 25107992 25157678 25479412 27039376 27092884 27798134 28209349 28751632 29176952 29936452 30026906 31769296 32239256 32336668 33178418 33669223 34316464 34824104 35730604 35801311 37918192 37993228 38479112 38555258 39558883 39765362 40915784 42601874 43938986 44063152 44588971 45210152 45446128 47318908 47412547 48687856 50215984 50315356 50958824 52388791 54185768 55596268 56418698 56589169 58353904 59872904 60053812 62528557 64478512 64673336 66356836 66488149 67338446 69648208 71461208 71602622 73466497 75986456 76958224 77110516 79117766 79530724 81831568 82808089 85203748 87877972 88051873 89177942 90420304 94637816 94825094 97293469 100630712 101917648 104777582 105094171 108371536 111192536 112837396 113178338 116124463 119745808 120107624 125057114 129346672 132713672 132976298 134676892 134943403 142922416 143205244 146932994 149106559 151972912 153786451 154221032 158235532 159061448 165616178 170407496 175755944 176103746 178355884 189275632 189650188 194586938 197465443 201261424 209555164 210188342 222385072 225674792 226356676 232248926 235684561 240215248 250114228 250609177 265427344 265952596 269353784 269886806 276912181 286410488 293865988 298213118 307572902 308442064 316471064 318122896 331232356 340814992 351511888 352207492 356711768 366721537 379300376 389173876 394930886 419110328 420376684 437699899 451349584 452713352 464497852 465417043 471369122 500228456 501218354 514265479 531905192 538707568 539773612 553824362 572820976 579656623 587731976 596426236 615145804 616363111 632942128 662464712 681054283 704414984 713423536 733443074 735659197 758600752 778347752 789861772 812871241 838220656 840753368 875399798 905426704 928995704 930834086 942738244 1000456912 1002436708 1028530958 1043745913 1063810384 1076505157 1079547224 1107648724 1159313246 1175463952 1192852472 1230291608 1232726222 1324929424 1362108566 1382258101 1408829968 1466886148 1471318394 1556695504 1579723544 1625742482 1649791927 1681506736 1750799596 1754264239 1857991408 1861668172 1885476488 1938385267 2004873416 2057061916 2087491826 2153010314 2159094448 2215297448 2318626492 2385704944 2460583216 2465452444 2567050759 2724217132 2764516202 2933772296 2942636788 3063899293 3159447088 3251484964 3257919301 3299583854 3501599192 3508528478 3599858353 3723336344 3770952976 3876770534 4009746832 4114123832 4174983652 4306020628 4430594896 4637252984 4767379981 4930904888 5134101518 5448434264 5529032404 5690098687 5867544592 5885273576 6127798586 6502969928 6515838602 6599167708 7003198384 7017056956 7199716706 7306221391 7446672688 7535536099 7753541068 8228247664 8349967304 8612041256 9274505968 9534759962 9861809776 10268203036 10896868528 11058064808 11380197374 11770547152 12255597172 13005939856 13031677204 13198335416 13568696869 14034113912 14399433412 14612442782 15071072198 15507082136 16699934608 17224082512 17969355313 19069519924 20536406072 21447295051 22116129616 22760394748 22805435107 24511194344 25199008471 26063354408 26396670832 27137393738 28068227824 28798866824 29224885564 30142144396 31014164272 33371659867 35938710626 38139039848 39830690809 41072812144 42894590102 45520789496 45610870214 49022388688 50398016942 51143549737 52126708816 54274787476 57597733648 58449771128 60284288792 66743319734 71877421252 76278079696 79661381618 85789180204 91041578992 91221740428 94980878083 100796033884 102287099474 108549574952 116899542256 120568577584 133486639468 143754842504 159322763236 171578360408 176393059297 182443480856 189961756166 201592067768 204574198948 217099149904 233601619069 266973278936 278814835663 287509685008 318645526472 343156720816 352786118594 364886961712 379923512332 403184135536 409148397896 467203238138 533946557872 557629671326 637291052944 664866146581 705572237188 759847024664 818296795792 934406476276 1115259342652 1234751415079 1329732293162 1411144474376 1519694049328 1868812952552 2230518685304 2469502830158 2659464586324 2822288948752 3737625905104 4461037370608 4939005660316 5318929172648 8643259905553 9878011320632 10637858345296 17286519811106 19756022641264 34573039622212 69146079244424 138292158488848
- Sum of all divisors σ(n): 359802732698880
- Sum of proper divisors (its aliquot sum) s(n): 221510574210032
- 138292158488848 is an abundant number, because the sum of its proper divisors (221510574210032) is greater than itself. Its abundance is 83218415721184
Bases of 138292158488848
- Binary: 111110111000110101001101111101101100001000100002
- Hexadecimal: 0x7DC6A6FB6110
- Base-36: 1D0QJGKE8G
Squares and roots of 138292158488848
- 138292158488848 squared (1382921584888482) is 19124721099504653946940367104
- 138292158488848 cubed (1382921584888483) is 2644798961347712985416251936778275010056192
-
The
square root of 138292158488848 is 11759768.6409575253 -
The
cube root of 138292158488848 is 51712.9347556675
Scales and comparisons
How big is 138292158488848?- 138,292,158,488,848 seconds is equal to 4,397,262 years, 45 weeks, 3 days, 5 hours, 7 minutes, 28 seconds.
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To count from 1 to 138,292,158,488,848 would take you about ten million, nine hundred ninety-three thousand, one hundred fifty-seven 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 138292158488848 cubic inches would be around 4309.4 feet tall.
Recreational maths with 138292158488848
- 138292158488848 backwards is 848884851292831
- The number of decimal digits it has is: 15
- The sum of 138292158488848's digits is 79
- More coming soon!
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The information we have on file for 138292158488848 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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