138368333822520816
138,368,333,822,520,816 is an even composite number composed of five prime numbers multiplied together.
138368333822520816 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138368333822520816:
24 × 35 × 73 × 373 × 1273
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 37 × 37 × 37 × 127 × 127 × 127)See below for interesting mathematical facts about the number 138368333822520816 from the Numbermatics database.
Names of 138368333822520816
- Cardinal: 138368333822520816 can be written as One hundred thirty-eight quadrillion, three hundred sixty-eight trillion, three hundred thirty-three billion, eight hundred twenty-two million, five hundred twenty thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.38368333822520816 × 1017
Factors of 138368333822520816
Divisors of 138368333822520816
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 37 42 48 49 54 56 63 72 74 81 84 98 108 111 112 126 127 144 147 148 162 168 189 196 216 222 243 252 254 259 294 296 324 333 336 343 378 381 392 432 441 444 486 504 508 518 567 588 592 648 666 686 756 762 777 784 882 888 889 972 999 1008 1016 1029 1036 1134 1143 1176 1296 1323 1332 1369 1372 1512 1524 1554 1701 1764 1776 1778 1813 1944 1998 2032 2058 2072 2268 2286 2331 2352 2646 2664 2667 2738 2744 2997 3024 3048 3087 3108 3402 3429 3528 3556 3626 3888 3969 3996 4107 4116 4144 4536 4572 4662 4699 5292 5328 5334 5439 5476 5488 5994 6096 6174 6216 6223 6804 6858 6993 7056 7112 7252 7938 7992 8001 8214 8232 8991 9072 9144 9261 9324 9398 9583 10287 10584 10668 10878 10952 11907 11988 12321 12348 12432 12446 12691 13608 13716 13986 14097 14224 14504 15876 15984 16002 16129 16317 16428 16464 17982 18288 18522 18648 18669 18796 19166 20574 20979 21168 21336 21756 21904 23814 23976 24003 24642 24696 24892 25382 27216 27432 27783 27972 28194 28749 29008 30861 31752 32004 32258 32634 32856 32893 35964 36963 37044 37296 37338 37592 38073 38332 41148 41958 42291 42672 43512 43561 47628 47952 48006 48387 48951 49284 49392 49784 50653 50764 54864 55566 55944 56007 56388 57498 61722 62937 63504 64008 64516 65268 65712 65786 67081 71928 72009 73926 74088 74676 75184 76146 76664 82296 83349 83916 84582 86247 87024 87122 95256 96012 96774 97902 98568 98679 99568 101306 101528 110889 111132 111888 112014 112776 112903 114219 114996 123444 125874 126873 128016 129032 130536 130683 131572 134162 143856 144018 145161 146853 147852 148176 149352 151959 152292 153328 164592 166698 167832 168021 169164 172494 173863 174244 190512 192024 193548 195804 197136 197358 201243 202612 203056 216027 221778 222264 224028 225552 225806 228438 229992 230251 246888 251748 253746 258064 258741 261072 261366 263144 268324 288036 290322 293706 295704 296037 298704 303918 304584 332667 333396 335664 336042 338328 338709 342657 344988 347726 348488 354571 380619 384048 387096 391608 392049 394716 402486 405224 432054 435483 440559 443556 444528 448056 451612 455877 456876 459984 460502 469567 493776 503496 504063 507492 517482 521589 522732 526288 536648 576072 580644 587412 591408 592074 596773 603729 607836 609168 665334 666792 672084 676656 677418 685314 689976 690753 695452 696976 709142 761238 774192 776223 783216 784098 789432 790321 804972 810448 864108 870966 881118 887112 888111 896112 903224 911754 913752 921004 939134 1006992 1008126 1014984 1016127 1027971 1034964 1043178 1045464 1063713 1073296 1141857 1152144 1161288 1174824 1176147 1184148 1193546 1207458 1215672 1217041 1306449 1330668 1333584 1344168 1354836 1367631 1370628 1379952 1381506 1390904 1408701 1418284 1512189 1522476 1552446 1564767 1568196 1578864 1580642 1609944 1611757 1728216 1741932 1762236 1774224 1776222 1790319 1806448 1811187 1823508 1827504 1842008 1878268 2016252 2029968 2032254 2048383 2055942 2069928 2072259 2086356 2090928 2127426 2283714 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360289166517 363535014864 390241542096 397053367182 397923462216 401081584932 403810031088 408516850224 408976891722 411759047448 412222740069 415026976396 415936458448 454286284974 455281799112 463228928379 467402161968 467928515754 471111702936 476602991928 480385555356 515676323484 525827432214 529404489576 530000665803 534775446576 536178365919 545302522296 549630320092 560449814582 600945636816 601622377398 605715046632 612775275336 613465337583 617638571172 622540464594 623904687672 640514073808 681429427461 682922698668 687568431312 701103242952 701892773631 706667554404 714904487892 720578333034 726297208693 794106734364 795846924432 802163169864 817953783444 823518094896 824445480138 830053952792 840674721873 902433566097 908572569948 910563598224 926457856758 933810696891 935857031508 942223405872 953205983856 960771110712 961853060161 1031352646968 1051654864428 1058808979152 1060001331606 1072356731838 1080867499551 1090605044592 1099260640184 1120899629164 1203244754796 1211430093264 1225550550672 1226930675166 1235277142344 1236668220207 1245080929188 1247809375344 1362858854922 1365845397336 1389686785137 1402206485904 1403785547262 1413335108808 1429808975784 1441156666068 1452594417386 1588213468728 1590001997409 1604326339728 1635907566888 1648890960276 1660107905584 1681349443746 1804867132194 1817145139896 1840396012749 1852915713516 1867621393782 1871714063016 1921542221424 1923706120322 2062705293936 2103309728856 2105678320893 2120002663212 2144713463676 2161734999102 2178891626079 2198521280368 2241799258328 2406489509592 2453861350332 2470554284688 2473336440414 2490161858376 2522024165619 2725717709844 2731690794672 2779373570274 2801432090673 2807571094524 2826670217616 2859617951568 2882313332136 2885559180483 2905188834772 3176426937456 3180003994818 3242602498653 3271815133776 3297781920552 3362698887492 3609734264388 3634290279792 3680792025498 3705831427032 3710004660621 3735242787564 3743428126032 3847412240644 4206619457712 4211356641786 4240005326424 4289426927352 4323469998204 4357783252158 4483598516656 4770005992227 4812979019184 4907722700664 4946672880828 4980323716752 5044048331238 5084080460851 5451435419688 5558747140548 5602864181346 5615142189048 5764626664272 5771118360966 5810377669544 6317034962679 6360007989636 6485204997306 6536674878237 6595563841104 6725397774984 7219468528776 7361584050996 7411662854064 7420009321242 7470485575128 7566072496857 7694824481288 8404296272019 8422713283572 8480010652848 8578853854704 8646939996408 8656677541449 8715566504316 9540011984454 9727807495959 9815445401328 9893345761656 10088096662476 10168160921702 10902870839376 11117494281096 11130013981863 11205728362692 11230284378096 11542236721932 11620755339088 12634069925358 12720015979272 12970409994612 13073349756474 13450795549968 14438937057552 14723168101992 14840018642484 14940971150256 15132144993714 15252241382553 15389648962576 16808592544038 16845426567144 17293879992816 17313355082898 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121057159949712 122017931060424 133560167782356 134468740352304 136189304943426 137270172442977 138506840663184 142354252903828 155644919935344 155820195746082 156880197077688 176490221712399 178080223709808 181585739924568 183026896590636 201703110528456 207760260994776 213531379355742 233730293619123 235320295616532 244035862120848 267120335564712 272378609886852 274540344885954 284708505807656 311640391492164 313760394155376 320297069033613 352980443424798 363171479849136 366053793181272 403406221056912 411810517328931 415520521989552 427062758711484 467460587238246 470640591233064 534240671129424 544757219773704 549080689771908 569417011615312 623280782984328 640594138067226 705960886849596 732107586362544 823621034657862 854125517422968 934921174476492 941281182466128 960891207100839 1089514439547408 1098161379543816 1235431551986793 1246561565968656 1281188276134452 1411921773699192 1647242069315724 1708251034845936 1869842348952984 1921782414201678 2196322759087632 2470863103973586 2562376552268904 2823843547398384 2882673621302517 3294484138631448 3739684697905968 3843564828403356 4941726207947172 5124753104537808 5765347242605034 6588968277262896 7687129656806712 8648020863907551 9883452415894344 11530694485210068 15374259313613424 17296041727815102 19766904831788688 23061388970420136 34592083455630204 46122777940840272 69184166911260408 138368333822520816
- Sum of all divisors σ(n): 485145010954240000
- Sum of proper divisors (its aliquot sum) s(n): 346776677131719184
- 138368333822520816 is an abundant number, because the sum of its proper divisors (346776677131719184) is greater than itself. Its abundance is 208408343309198368
Bases of 138368333822520816
- Binary: 1111010111001010101000100001110011010011101101101111100002
- Hexadecimal: 0x1EB954439A76DF0
- Base-36: 11UFHB0XF300
Squares and roots of 138368333822520816
- 138368333822520816 squared (1383683338225208162) is 19145795804820558011979948753305856
- 138368333822520816 cubed (1383683338225208163) is 2649171865219229564597841648009444758065363374698496
-
The
square root of 138368333822520816 is 371978942.7138595651 -
The
cube root of 138368333822520816 is 517224.2800782795
Scales and comparisons
How big is 138368333822520816?- 138,368,333,822,520,816 seconds is equal to 4,399,685,014 years, 10 weeks, 2 days, 1 hour, 33 minutes, 36 seconds.
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To count from 1 to 138,368,333,822,520,816 would take you about thirteen billion, one hundred ninety-nine million, fifty-five thousand and forty-two 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 138368333822520816 cubic inches would be around 43102 feet tall.
Recreational maths with 138368333822520816
- 138368333822520816 backwards is 618025228333863831
- 138368333822520816 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138368333822520816's digits is 72
- More coming soon!
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The information we have on file for 138368333822520816 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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