138506932112640000
138,506,932,112,640,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138506932112640000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 4320 divisors.
138506932112640000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand, three hundred twenty divisors.
Prime factorization of 138506932112640000:
211 × 3 × 54 × 7 × 13 × 432 × 4632
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 7 × 13 × 43 × 43 × 463 × 463)See below for interesting mathematical facts about the number 138506932112640000 from the Numbermatics database.
Names of 138506932112640000
- Cardinal: 138506932112640000 can be written as One hundred thirty-eight quadrillion, five hundred six trillion, nine hundred thirty-two billion, one hundred twelve million, six hundred forty thousand.
Scientific notation
- Scientific notation: 1.3850693211264 × 1017
Factors of 138506932112640000
Divisors of 138506932112640000
- Number of divisors d(n): 4320
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 43 48 50 52 56 60 64 65 70 75 78 80 84 86 91 96 100 104 105 112 120 125 128 129 130 140 150 156 160 168 172 175 182 192 195 200 208 210 215 224 240 250 256 258 260 273 280 300 301 312 320 325 336 344 350 364 375 384 390 400 416 420 430 448 455 463 480 500 512 516 520 525 546 559 560 600 602 624 625 640 645 650 672 688 700 728 750 768 780 800 832 840 860 875 896 903 910 926 960 975 1000 1024 1032 1040 1050 1075 1092 1118 1120 1200 1204 1248 1250 1280 1290 1300 1344 1365 1376 1389 1400 1456 1500 1505 1536 1560 1600 1625 1664 1677 1680 1720 1750 1792 1806 1820 1849 1852 1875 1920 1950 2000 2048 2064 2080 2100 2150 2184 2236 2240 2275 2315 2400 2408 2496 2500 2560 2580 2600 2625 2688 2730 2752 2778 2795 2800 2912 3000 3010 3072 3120 3200 3225 3241 3250 3328 3354 3360 3440 3500 3584 3612 3640 3698 3704 3750 3840 3900 3913 4000 4128 4160 4200 4300 4368 4375 4472 4480 4515 4550 4630 4800 4816 4875 4992 5000 5120 5160 5200 5250 5375 5376 5460 5504 5547 5556 5590 5600 5824 6000 6019 6020 6144 6240 6400 6450 6482 6500 6656 6708 6720 6825 6880 6945 7000 7168 7224 7280 7396 7408 7500 7525 7680 7800 7826 8000 8125 8256 8320 8385 8400 8600 8736 8750 8944 8960 9030 9100 9245 9260 9600 9632 9723 9750 9984 10000 10240 10320 10400 10500 10750 10752 10920 11008 11094 11112 11180 11200 11375 11575 11648 11739 12000 12038 12040 12480 12800 12900 12943 12964 13000 13125 13312 13416 13440 13650 13760 13890 13975 14000 14336 14448 14560 14792 14816 15000 15050 15360 15600 15652 16000 16125 16205 16250 16512 16640 16770 16800 17200 17472 17500 17888 17920 18057 18060 18200 18490 18520 19200 19264 19446 19500 19565 19909 19968 20000 20640 20800 21000 21500 21504 21840 22016 22188 22224 22360 22400 22575 22750 23150 23296 23478 24000 24037 24076 24080 24375 24960 25600 25800 25886 25928 26000 26250 26624 26832 26875 26880 27300 27520 27735 27780 27950 28000 28896 29120 29584 29632 30000 30095 30100 30720 31200 31304 32000 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30916725918000 30972033120000 31658727340032 31709462480000 32210914444800 32977840979200 33294935604000 33553035880000 34626733028160 35396609280000 35514597977600 36069513571000 36935181896704 37393880160000 37454551680000 38051354976000 38346326720000 38645907397500 39573409175040 40263643056000 41222301224000 41296044160000 41618669505000 42617517573120 42735863040000 42947885926400 43283416285200 44393247472000 45086891963750 46015592064000 46168977370880 47564193720000 49466761468800 49555252992000 49858506880000 50329553820000 50735139968000 51527876530000 52764545566720 53271896966400 53684857408000 54104270356500 55402772845056 55491559340000 57519490080000 57711221713600 59830208256000 60882167961600 61833451836000 61944066240000 63418924960000 64421828889600 65955681958400 66589871208000 67106071760000 67630337945625 69253466056320 71029195955200 72139027142000 73870363793408 74787760320000 74909103360000 76102709952000 76692653440000 77291814795000 79146818350080 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270521351782500 277013864225280 288556108568000 299151041280000 304410839808000 309167259180000 322109144448000 329778409792000 332949356040000 346267330281600 355145979776000 360695135710000 369351818967040 380513549760000 395734091750400 402636430560000 412223012240000 426175175731200 432834162852000 443932474720000 460155920640000 461689773708800 494667614688000 507351399680000 532718969664000 536848574080000 541042703565000 554027728450560 577112217136000 618334518360000 644218288896000 659556819584000 665898712080000 692534660563200 710291959552000 721390271420000 761027099520000 791468183500800 805272861120000 824446024480000 865668325704000 887864949440000 923379547417600 989335229376000 1065437939328000 1073697148160000 1082085407130000 1108055456901120 1154224434272000 1236669036720000 1319113639168000 1331797424160000 1385069321126400 1442780542840000 1522054199040000 1610545722240000 1648892048960000 1731336651408000 1775729898880000 1846759094835200 1978670458752000 2130875878656000 2164170814260000 2308448868544000 2473338073440000 2663594848320000 2770138642252800 2885561085680000 3221091444480000 3297784097920000 3462673302816000 3551459797760000 3957340917504000 4328341628520000 4616897737088000 4946676146880000 5327189696640000 5540277284505600 5771122171360000 6595568195840000 6925346605632000 8656683257040000 9233795474176000 9893352293760000 10654379393280000 11542244342720000 13850693211264000 17313366514080000 19786704587520000 23084488685440000 27701386422528000 34626733028160000 46168977370880000 69253466056320000 138506932112640000
- Sum of all divisors σ(n): 582685969797771840
- Sum of proper divisors (its aliquot sum) s(n): 444179037685131840
- 138506932112640000 is an abundant number, because the sum of its proper divisors (444179037685131840) is greater than itself. Its abundance is 305672105572491840
Bases of 138506932112640000
- Binary: 1111011000001001101010010001001111000000011001000000000002
- Hexadecimal: 0x1EC13522780C800
- Base-36: 11VSLY78UQYO
Squares and roots of 138506932112640000
- 138506932112640000 squared (1385069321126400002) is 19184170243255465653647769600000000
- 138506932112640000 cubed (1385069321126400003) is 2657140565519913176118422827165751967744000000000000
-
The
square root of 138506932112640000 is 372165194.6550617461 -
The
cube root of 138506932112640000 is 517396.9170706187
Scales and comparisons
How big is 138506932112640000?- 138,506,932,112,640,000 seconds is equal to 4,404,092,011 years, 5 weeks, 5 days, 10 hours, 40 minutes.
-
To count from 1 to 138,506,932,112,640,000 would take you about thirteen billion, two hundred twelve million, two hundred seventy-six thousand and thirty-three 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 138506932112640000 cubic inches would be around 43116.4 feet tall.
Recreational maths with 138506932112640000
- 138506932112640000 backwards is 000046211239605831
- The number of decimal digits it has is: 18
- The sum of 138506932112640000's digits is 51
- More coming soon!
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"Number 138506932112640000 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 138506932112640000 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138506932112640000/
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The information we have on file for 138506932112640000 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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