12138917395968
12,138,917,395,968 is an even composite number composed of four prime numbers multiplied together.
What does the number 12138917395968 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 960 divisors.
12138917395968 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 12138917395968:
29 × 311 × 11 × 233
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 23 × 23 × 23)See below for interesting mathematical facts about the number 12138917395968 from the Numbermatics database.
Names of 12138917395968
- Cardinal: 12138917395968 can be written as Twelve trillion, one hundred thirty-eight billion, nine hundred seventeen million, three hundred ninety-five thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.2138917395968 × 1013
Factors of 12138917395968
Divisors of 12138917395968
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 23 24 27 32 33 36 44 46 48 54 64 66 69 72 81 88 92 96 99 108 128 132 138 144 162 176 184 192 198 207 216 243 253 256 264 276 288 297 324 352 368 384 396 414 432 486 506 512 528 529 552 576 594 621 648 704 729 736 759 768 792 828 864 891 972 1012 1056 1058 1104 1152 1188 1242 1296 1408 1458 1472 1518 1536 1584 1587 1656 1728 1782 1863 1944 2024 2112 2116 2187 2208 2277 2304 2376 2484 2592 2673 2816 2916 2944 3036 3168 3174 3312 3456 3564 3726 3888 4048 4224 4232 4374 4416 4554 4608 4752 4761 4968 5184 5346 5589 5632 5819 5832 5888 6072 6336 6348 6561 6624 6831 6912 7128 7452 7776 8019 8096 8448 8464 8748 8832 9108 9504 9522 9936 10368 10692 11178 11638 11664 11776 12144 12167 12672 12696 13122 13248 13662 13824 14256 14283 14904 15552 16038 16192 16767 16896 16928 17457 17496 17664 18216 19008 19044 19683 19872 20493 20736 21384 22356 23276 23328 24057 24288 24334 25344 25392 26244 26496 27324 28512 28566 29808 31104 32076 32384 33534 33856 34914 34992 35328 36432 36501 38016 38088 39366 39744 40986 41472 42768 42849 44712 46552 46656 48114 48576 48668 50301 50688 50784 52371 52488 52992 54648 57024 57132 59049 59616 61479 62208 64152 64768 67068 67712 69828 69984 72171 72864 73002 76032 76176 78732 79488 81972 85536 85698 89424 93104 93312 96228 97152 97336 100602 101568 104742 104976 105984 109296 109503 114048 114264 118098 119232 122958 124416 128304 128547 129536 133837 134136 135424 139656 139968 144342 145728 146004 150903 152064 152352 157113 157464 158976 163944 171072 171396 177147 178848 184437 186208 186624 192456 194304 194672 201204 203136 209484 209952 216513 218592 219006 228096 228528 236196 238464 245916 256608 257094 267674 268272 270848 279312 279936 288684 291456 292008 301806 304704 314226 314928 317952 327888 328509 342144 342792 354294 357696 368874 372416 373248 384912 385641 388608 389344 401511 402408 406272 418968 419904 433026 437184 438012 452709 456192 457056 471339 472392 476928 491832 513216 514188 535348 536544 553311 558624 559872 577368 582912 584016 603612 609408 628452 629856 649539 655776 657018 684288 685584 708588 715392 737748 744832 769824 771282 778688 803022 804816 812544 837936 839808 866052 874368 876024 905418 914112 942678 944784 953856 983664 985527 1026432 1028376 1070696 1073088 1106622 1117248 1119744 1154736 1156923 1165824 1168032 1204533 1207224 1218816 1256904 1259712 1299078 1311552 1314036 1358127 1368576 1371168 1414017 1417176 1430784 1475496 1489664 1539648 1542564 1557376 1606044 1609632 1659933 1675872 1679616 1732104 1748736 1752048 1810836 1828224 1885356 1889568 1948617 1967328 1971054 2052864 2056752 2141392 2146176 2213244 2234496 2309472 2313846 2336064 2409066 2414448 2437632 2513808 2519424 2598156 2623104 2628072 2716254 2742336 2828034 2834352 2861568 2950992 2956581 2979328 3079296 3085128 3114752 3212088 3219264 3319866 3351744 3359232 3464208 3470769 3497472 3504096 3613599 3621672 3656448 3770712 3779136 3897234 3934656 3942108 4074381 4105728 4113504 4242051 4282784 4292352 4426488 4468992 4618944 4627692 4672128 4818132 4828896 4979799 5027616 5038848 5196312 5246208 5256144 5432508 5484672 5656068 5668704 5901984 5913162 6158592 6170256 6229504 6424176 6438528 6639732 6703488 6928416 6941538 7008192 7227198 7243344 7312896 7541424 7558272 7794468 7869312 7884216 8148762 8227008 8484102 8565568 8584704 8852976 8869743 8937984 9237888 9255384 9344256 9636264 9657792 9959598 10055232 10077696 10392624 10412307 10492416 10512288 10840797 10865016 10969344 11312136 11337408 11803968 11826324 12317184 12340512 12726153 12848352 12877056 13279464 13406976 13856832 13883076 14016384 14454396 14486688 14939397 15082848 15116544 15588936 15738624 15768432 16297524 16454016 16968204 17131136 17705952 17739486 18475776 18510768 18688512 19272528 19315584 19919196 20110464 20785248 20824614 21024576 21681594 21730032 21938688 22624272 22674816 23607936 23652648 24681024 25452306 25696704 25754112 26558928 26609229 26813952 27713664 27766152 28032768 28908792 28973376 29878794 30165696 30233088 31177872 31236921 31477248 31536864 32522391 32595048 32908032 33936408 34262272 35411904 35478972 36951552 37021536 38178459 38545056 38631168 39838392 40220928 41570496 41649228 42049152 43363188 43460064 44818191 45248544 45349632 47215872 47305296 49362048 50904612 51393408 53117856 53218458 55427328 55532304 56065536 57817584 57946752 59757588 60331392 62355744 62473842 63073728 65044782 65190096 65816064 67872816 68524544 70823808 70957944 74043072 76356918 77090112 77262336 79676784 79827687 80441856 83140992 83298456 84098304 86726376 86920128 89636382 90497088 90699264 93710763 94431744 94610592 97567173 98724096 101809224 102786816 106235712 106436916 110854656 111064608 114535377 115635168 115893504 119515176 120662784 124711488 124947684 126147456 130089564 130380192 135745632 141647616 141915888 148086144 152713836 154180224 159353568 159655374 166281984 166596912 168196608 173452752 173840256 179272764 180994176 187421526 189221184 195134346 197448192 203618448 205573632 212471424 212873832 222129216 229070754 231270336 231787008 239030352 239483061 241325568 249422976 249895368 252294912 260179128 260760384 271491264 283295232 283831776 292701519 296172288 305427672 308360448 318707136 319310748 332563968 333193824 343606131 346905504 347680512 358545528 361988352 374843052 378442368 390268692 407236896 424942848 425747664 444258432 458141508 462540672 478060704 478966122 498845952 499790736 504589824 520358256 521520768 542982528 567663552 585403038 592344576 610855344 616720896 637414272 638621496 666387648 687212262 693811008 695361024 717091056 718449183 723976704 749686104 756884736 780537384 814473792 849885696 851495328 878104557 888516864 916283016 925081344 956121408 957932244 997691904 999581472 1030818393 1040716512 1043041536 1085965056 1135327104 1170806076 1221710688 1274828544 1277242992 1332775296 1374424524 1387622016 1434182112 1436898366 1499372208 1513769472 1561074768 1628947584 1702990656 1756209114 1777033728 1832566032 1850162688 1912242816 1915864488 1999162944 2061636786 2081433024 2086083072 2155347549 2171930112 2270654208 2341612152 2443421376 2549657088 2554485984 2634313671 2665550592 2748849048 2775244032 2868364224 2873796732 2998744416 3122149536 3257895168 3405981312 3512418228 3665132064 3824485632 3831728976 3998325888 4123273572 4162866048 4310695098 4541308416 4683224304 4886842752 5108971968 5268627342 5331101184 5497698096 5550488064 5736728448 5747593464 5997488832 6244299072 6515790336 6811962624 7024836456 7330264128 7648971264 7663457952 7902941013 7996651776 8246547144 8325732096 8621390196 9366448608 9773685504 10217943936 10537254684 10995396192 11473456896 11495186928 11994977664 12488598144 13623925248 14049672912 14660528256 15326915904 15805882026 15993303552 16493094288 16651464192 17242780392 18732897216 19547371008 20435887872 21074509368 21990792384 22946913792 22990373856 23708823039 23989955328 24977196288 28099345824 29321056512 30653831808 31611764052 32986188576 34485560784 37465794432 40871775744 42149018736 43981584768 45980747712 47417646078 47979910656 49954392576 56198691648 58642113024 61307663616 63223528104 65972377152 68971121568 74931588864 84298037472 87963169536 91961495424 94835292156 112397383296 122615327232 126447056208 131944754304 137942243136 149863177728 168596074944 175926339072 183922990848 189670584312 224794766592 252894112416 263889508608 275884486272 337192149888 367845981696 379341168624 449589533184 505788224832 527779017216 551768972544 674384299776 758682337248 1011576449664 1103537945088 1348768599552 1517364674496 2023152899328 3034729348992 4046305798656 6069458697984 12138917395968
- Sum of all divisors σ(n): 41492369318400
- Sum of proper divisors (its aliquot sum) s(n): 29353451922432
- 12138917395968 is an abundant number, because the sum of its proper divisors (29353451922432) is greater than itself. Its abundance is 17214534526464
Bases of 12138917395968
- Binary: 101100001010010011111101101111111110000000002
- Hexadecimal: 0xB0A4FDBFE00
- Base-36: 4AWJI0000
Squares and roots of 12138917395968
- 12138917395968 squared (121389173959682) is 147353315546134530102657024
- 12138917395968 cubed (121389173959683) is 1788709725436534381921952709491904479232
-
The
square root of 12138917395968 is 3484094.9177609957 -
The
cube root of 12138917395968 is 22982.2909656199
Scales and comparisons
How big is 12138917395968?- 12,138,917,395,968 seconds is equal to 385,980 years, 1 week, 2 days, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 12,138,917,395,968 would take you about nine hundred sixty-four thousand, nine hundred fifty 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 12138917395968 cubic inches would be around 1915.2 feet tall.
Recreational maths with 12138917395968
- 12138917395968 backwards is 86959371983121
- 12138917395968 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12138917395968's digits is 72
- More coming soon!
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The information we have on file for 12138917395968 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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