137728875432640000
137,728,875,432,640,000 is an even composite number composed of seven prime numbers multiplied together.
137728875432640000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, six hundred divisors.
Prime factorization of 137728875432640000:
29 × 54 × 31 × 37 × 181 × 577 × 3593
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 31 × 37 × 181 × 577 × 3593)See below for interesting mathematical facts about the number 137728875432640000 from the Numbermatics database.
Names of 137728875432640000
- Cardinal: 137728875432640000 can be written as One hundred thirty-seven quadrillion, seven hundred twenty-eight trillion, eight hundred seventy-five billion, four hundred thirty-two million, six hundred forty thousand.
Scientific notation
- Scientific notation: 1.3772887543264 × 1017
Factors of 137728875432640000
Divisors of 137728875432640000
- Number of divisors d(n): 1600
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 31 32 37 40 50 62 64 74 80 100 124 125 128 148 155 160 181 185 200 248 250 256 296 310 320 362 370 400 496 500 512 577 592 620 625 640 724 740 775 800 905 925 992 1000 1147 1154 1184 1240 1250 1280 1448 1480 1550 1600 1810 1850 1984 2000 2294 2308 2368 2480 2500 2560 2885 2896 2960 3100 3200 3593 3620 3700 3875 3968 4000 4525 4588 4616 4625 4736 4960 5000 5611 5735 5770 5792 5920 6200 6400 6697 7186 7240 7400 7750 7936 8000 9050 9176 9232 9250 9472 9920 10000 11222 11470 11540 11584 11840 12400 12800 13394 14372 14425 14480 14800 15500 15872 16000 17887 17965 18100 18352 18464 18500 18944 19375 19840 20000 21349 22444 22625 22940 23080 23125 23168 23680 24800 26788 28055 28675 28744 28850 28960 29600 31000 32000 33485 35774 35930 36200 36704 36928 37000 38750 39680 40000 42698 44888 45250 45880 46160 46250 46336 47360 49600 53576 56110 57350 57488 57700 57920 59200 62000 64000 66970 71548 71860 72125 72400 73408 73856 74000 77500 79360 80000 85396 89435 89776 89825 90500 91760 92320 92500 92672 94720 99200 104437 106745 107152 111383 112220 113125 114700 114976 115400 115840 118400 124000 132941 133940 140275 143096 143375 143720 144250 144800 146816 147712 148000 155000 160000 167425 170792 178870 179552 179650 181000 183520 184640 185000 198400 207607 208874 213490 214304 222766 224440 226250 229400 229952 230800 231680 236800 248000 265882 267880 280550 286192 286750 287440 288500 289600 293632 295424 296000 310000 320000 334850 341584 357740 359104 359300 360625 362000 367040 369280 370000 396800 415214 417748 426980 428608 445532 447175 448880 449125 452500 458800 459904 461600 463360 473600 496000 522185 531764 533725 535760 556915 561100 572384 573500 574880 577000 579200 587264 592000 620000 650333 661819 664705 669700 683168 701375 715480 716875 718208 718600 721250 724000 734080 738560 740000 830428 835496 837125 853960 857216 891064 894350 897760 898250 905000 917600 919808 923200 992000 1038035 1044370 1063528 1067450 1071520 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55091550173056 55535836868000 58162531855000 59674556080000 60038742560000 68864437716320 69419796085000 74448040774400 76093301344000 86080547145400 88857338988800 93060050968000 95116626680000 107600683931750 110183100346112 111071673736000 116325063710000 119349112160000 120077485120000 137728875432640 138839592170000 148896081548800 152186602688000 172161094290800 177714677977600 186120101936000 190233253360000 215201367863500 220366200692224 222143347472000 232650127420000 238698224320000 269001709829375 275457750865280 277679184340000 344322188581600 372240203872000 380466506720000 430402735727000 444286694944000 465300254840000 538003419658750 550915501730560 555358368680000 688644377163200 744480407744000 760933013440000 860805471454000 888573389888000 930600509680000 1076006839317500 1101831003461120 1110716737360000 1377288754326400 1721610942908000 1861201019360000 2152013678635000 2221433474720000 2754577508652800 3443221885816000 3722402038720000 4304027357270000 4442866949440000 5509155017305600 6886443771632000 8608054714540000 13772887543264000 17216109429080000 27545775086528000 34432218858160000 68864437716320000 137728875432640000
- Sum of all divisors σ(n): 367314050843131392
- Sum of proper divisors (its aliquot sum) s(n): 229585175410491392
- 137728875432640000 is an abundant number, because the sum of its proper divisors (229585175410491392) is greater than itself. Its abundance is 91856299977851392
Bases of 137728875432640000
- Binary: 1111010010100111110101110101101110111100111111110000000002
- Hexadecimal: 0x1E94FAEB779FE00
- Base-36: 11O4T7WAERR4
Squares and roots of 137728875432640000
- 137728875432640000 squared (1377288754326400002) is 18969243127939666147177369600000000
- 137728875432640000 cubed (1377288754326400003) is 2612612523819464633198140702382017183744000000000000
-
The
square root of 137728875432640000 is 371118411.6055682841 -
The
cube root of 137728875432640000 is 516426.2790474531
Scales and comparisons
How big is 137728875432640000?- 137,728,875,432,640,000 seconds is equal to 4,379,352,215 years, 19 weeks, 3 days, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 137,728,875,432,640,000 would take you about thirteen billion, one hundred thirty-eight million, fifty-six thousand, six hundred forty-six 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 137728875432640000 cubic inches would be around 43035.5 feet tall.
Recreational maths with 137728875432640000
- 137728875432640000 backwards is 000046234578827731
- The number of decimal digits it has is: 18
- The sum of 137728875432640000's digits is 67
- More coming soon!
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"Number 137728875432640000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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The information we have on file for 137728875432640000 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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