138435598525952000
138,435,598,525,952,000 is an even composite number composed of five prime numbers multiplied together.
138435598525952000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, four hundred ninety-six divisors.
Prime factorization of 138435598525952000:
212 × 53 × 73 × 133 × 5992
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 13 × 13 × 13 × 599 × 599)See below for interesting mathematical facts about the number 138435598525952000 from the Numbermatics database.
Names of 138435598525952000
- Cardinal: 138435598525952000 can be written as One hundred thirty-eight quadrillion, four hundred thirty-five trillion, five hundred ninety-eight billion, five hundred twenty-five million, nine hundred fifty-two thousand.
Scientific notation
- Scientific notation: 1.38435598525952 × 1017
Factors of 138435598525952000
Divisors of 138435598525952000
- Number of divisors d(n): 2496
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 49 50 52 56 64 65 70 80 91 98 100 104 112 125 128 130 140 160 169 175 182 196 200 208 224 245 250 256 260 280 320 325 338 343 350 364 392 400 416 448 455 490 500 512 520 560 599 637 640 650 676 686 700 728 784 800 832 845 875 896 910 980 1000 1024 1040 1120 1183 1198 1225 1274 1280 1300 1352 1372 1400 1456 1568 1600 1625 1664 1690 1715 1750 1792 1820 1960 2000 2048 2080 2197 2240 2275 2366 2396 2450 2548 2560 2600 2704 2744 2800 2912 2995 3136 3185 3200 3250 3328 3380 3430 3500 3584 3640 3920 4000 4096 4160 4193 4225 4394 4459 4480 4550 4732 4792 4900 5096 5120 5200 5408 5488 5600 5824 5915 5990 6125 6272 6370 6400 6500 6656 6760 6860 7000 7168 7280 7787 7840 8000 8281 8320 8386 8450 8575 8788 8918 8960 9100 9464 9584 9800 10192 10240 10400 10816 10976 10985 11200 11375 11648 11830 11980 12250 12544 12740 12800 13000 13312 13520 13720 14000 14336 14560 14975 15379 15574 15680 15925 16000 16562 16640 16772 16900 17150 17576 17836 17920 18200 18928 19168 19600 20384 20480 20800 20965 21125 21632 21952 21970 22295 22400 22750 23296 23660 23960 24500 25088 25480 25600 26000 26624 27040 27440 28000 28672 29120 29351 29575 29950 30758 31148 31360 31850 32000 33124 33280 33544 33800 34300 35152 35672 35840 36400 37856 38336 38935 39200 40768 41405 41600 41930 42250 42875 43264 43904 43940 44590 44800 45500 46592 47320 47920 49000 50176 50960 51200 52000 53248 54080 54509 54880 54925 56000 57967 58240 58702 59150 59900 61516 62296 62720 63700 64000 66248 66560 67088 67600 68600 70304 71344 71680 72800 74875 75712 76672 76895 77870 78400 79625 81536 82810 83200 83860 84500 85750 86528 87808 87880 89180 89600 91000 93184 94640 95840 98000 100352 101231 101920 102400 104000 104825 107653 108160 109018 109760 109850 111475 112000 115934 116480 117404 118300 119800 123032 124592 125440 127400 128000 132496 133120 134176 135200 137200 140608 142688 143360 145600 146755 147875 149750 151424 153344 153790 155740 156800 159250 163072 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1188492432400 1194089728000 1236032129696 1241853317120 1260223928320 1261257275200 1269841664000 1279914927200 1285942784000 1320635330560 1331111524288 1351910141855 1358277065600 1367521792000 1379500144750 1412608148224 1444444892800 1462759916800 1485615540500 1521270313472 1545040162120 1552316646400 1575279910400 1576571594000 1599893659000 1614409312256 1638291106816 1650794163200 1663889405360 1671725619200 1697846332000 1738594643968 1765760185280 1777778329600 1800319897600 1805556116000 1828449896000 1848889462784 1901587891840 1931300202650 1940395808000 1969099888000 2018011640320 2047863883520 2063492704000 2079861756700 2089657024000 2163056226968 2173243304960 2207200231600 2222222912000 2250399872000 2311111828480 2340415866880 2358277376000 2376984864800 2388179456000 2472064259392 2520447856640 2522514550400 2539683328000 2559829854400 2599827195875 2662223048576 2703820283710 2716554131200 2759000289500 2825216296448 2888889785600 2925519833600 2971231081000 3042540626944 3090080324240 3104633292800 3150559820800 3153143188000 3199787318000 3228818624512 3276582213632 3301588326400 3327778810720 3343451238400 3395692664000 3531520370560 3555556659200 3611112232000 3656899792000 3803175783680 3862600405300 3880791616000 3938199776000 4036023280640 4095727767040 4126985408000 4159723513400 4179314048000 4326112453936 4346486609920 4414400463200 4444445824000 4500799744000 4622223656960 4680831733760 4716554752000 4753969729600 4828250506625 4944128518784 5045029100800 5119659708800 5199654391750 5324446097152 5407640567420 5433108262400 5518000579000 5650432592896 5777779571200 5851039667200 5942462162000 6085081253888 6180160648480 6209266585600 6301119641600 6306286376000 6399574636000 6553164427264 6603176652800 6655557621440 6759550709275 6791385328000 7063040741120 7222224464000 7313799584000 7606351567360 7725200810600 7761583232000 7876399552000 8072046561280 8191455534080 8253970816000 8319447026800 8358628096000 8652224907872 8692973219840 8828800926400 8888891648000 9001599488000 9244447313920 9507939459200 9656501013250 9888257037568 10090058201600 10239319417600 10399308783500 10648892194304 10815281134840 10866216524800 11036001158000 11300865185792 11555559142400 11702079334400 11884924324000 12170162507776 12360321296960 12602239283200 12612572752000 12799149272000 13311115242880 13519101418550 13582770656000 14126081482240 14444448928000 14627599168000 15212703134720 15450401621200 15523166464000 15752799104000 16144093122560 16382911068160 16507941632000 16638894053600 16717256192000 17304449815744 17657601852800 17777783296000 19015878918400 19313002026500 19776514075136 20180116403200 20478638835200 20798617567000 21297784388608 21630562269680 21732433049600 22072002316000 22601730371584 23111118284800 23404158668800 23769848648000 24720642593920 25225145504000 25598298544000 26622230485760 27038202837100 27165541312000 28252162964480 28888897856000 29255198336000 30425406269440 30900803242400 31046332928000 31505598208000 32765822136320 33015883264000 33277788107200 33797753546375 34608899631488 35315203705600 38031757836800 38626004053000 39553028150272 40360232806400 40957277670400 41597235134000 42595568777216 43261124539360 43464866099200 44144004632000 46222236569600 47539697296000 49441285187840 50450291008000 51196597088000 53244460971520 54076405674200 54331082624000 56504325928960 57777795712000 58510396672000 60850812538880 61801606484800 63011196416000 66555576214400 67595507092750 69217799262976 70630407411200 76063515673600 77252008106000 79106056300544 80720465612800 81914555340800 83194470268000 85191137554432 86522249078720 88288009264000 95079394592000 98882570375680 100900582016000 102393194176000 106488921943040 108152811348400 108662165248000 113008651857920 115555591424000 117020793344000 123603212969600 133111152428800 135191014185500 138435598525952 141260814822400 152127031347200 154504016212000 158212112601088 163829110681600 166388940536000 173044498157440 176576018528000 190158789184000 197765140751360 201801164032000 204786388352000 212977843886080 216305622696800 217324330496000 231111182848000 247206425939200 266222304857600 270382028371000 276871197051904 282521629644800 304254062694400 309008032424000 332777881072000 346088996314880 353152037056000 380317578368000 395530281502720 403602328064000 409572776704000 425955687772160 432611245393600 494412851878400 532444609715200 540764056742000 553742394103808 565043259289600 618016064848000 665555762144000 692177992629760 706304074112000 760635156736000 791060563005440 819145553408000 865222490787200 988825703756800 1064889219430400 1081528113484000 1107484788207616 1236032129696000 1331111524288000 1384355985259520 1412608148224000 1521270313472000 1730444981574400 1977651407513600 2129778438860800 2163056226968000 2472064259392000 2662223048576000 2768711970519040 2825216296448000 3460889963148800 3955302815027200 4326112453936000 4944128518784000 5324446097152000 5537423941038080 6921779926297600 8652224907872000 9888257037568000 10648892194304000 13843559852595200 17304449815744000 19776514075136000 27687119705190400 34608899631488000 69217799262976000 138435598525952000
- Sum of all divisors σ(n): 437197584506592000
- Sum of proper divisors (its aliquot sum) s(n): 298761985980640000
- 138435598525952000 is an abundant number, because the sum of its proper divisors (298761985980640000) is greater than itself. Its abundance is 160326387454688000
Bases of 138435598525952000
- Binary: 1111010111101001001110001100000100110100001110000000000002
- Hexadecimal: 0x1EBD27182687000
- Base-36: 11V3BO0549VK
Squares and roots of 138435598525952000
- 138435598525952000 squared (1384355985259520002) is 19164414939238563555217506304000000
- 138435598525952000 cubed (1384355985259520003) is 2653037252513186576549942484256767667601408000000000
-
The
square root of 138435598525952000 is 372069346.3938570685 -
The
cube root of 138435598525952000 is 517308.0788800069
Scales and comparisons
How big is 138435598525952000?- 138,435,598,525,952,000 seconds is equal to 4,401,823,823 years, 36 weeks, 4 days, 3 hours, 33 minutes, 20 seconds.
-
To count from 1 to 138,435,598,525,952,000 would take you about thirteen billion, two hundred five million, four hundred seventy-one thousand, four hundred seventy-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 138435598525952000 cubic inches would be around 43109 feet tall.
Recreational maths with 138435598525952000
- 138435598525952000 backwards is 000259525895534831
- The number of decimal digits it has is: 18
- The sum of 138435598525952000's digits is 74
- More coming soon!
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"Number 138435598525952000 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 138435598525952000 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138435598525952000/
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The information we have on file for 138435598525952000 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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