138128164125000
138,128,164,125,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138128164125000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3024 divisors.
138128164125000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand and twenty-four divisors.
Prime factorization of 138128164125000:
23 × 3 × 56 × 72 × 172 × 19 × 372
(2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 17 × 17 × 19 × 37 × 37)See below for interesting mathematical facts about the number 138128164125000 from the Numbermatics database.
Names of 138128164125000
- Cardinal: 138128164125000 can be written as One hundred thirty-eight trillion, one hundred twenty-eight billion, one hundred sixty-four million, one hundred twenty-five thousand.
Scientific notation
- Scientific notation: 1.38128164125 × 1014
Factors of 138128164125000
Divisors of 138128164125000
- Number of divisors d(n): 3024
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 17 19 20 21 24 25 28 30 34 35 37 38 40 42 49 50 51 56 57 60 68 70 74 75 76 84 85 95 98 100 102 105 111 114 119 120 125 133 136 140 147 148 150 152 168 170 175 185 190 196 200 204 210 222 228 238 245 250 255 259 266 280 285 289 294 296 300 323 340 350 357 370 375 380 392 399 408 420 425 444 456 475 476 490 500 510 518 525 532 555 570 578 588 595 600 625 629 646 665 680 700 703 714 735 740 750 760 777 798 833 840 850 867 875 888 925 931 950 952 969 980 1000 1020 1036 1050 1064 1110 1140 1156 1176 1190 1225 1250 1258 1275 1292 1295 1330 1369 1400 1406 1425 1428 1445 1470 1480 1500 1554 1596 1615 1666 1700 1734 1750 1785 1813 1850 1862 1875 1887 1900 1938 1960 1995 2023 2040 2072 2100 2109 2125 2220 2261 2280 2312 2375 2380 2450 2499 2500 2516 2550 2584 2590 2625 2660 2738 2775 2793 2812 2850 2856 2890 2940 2975 3000 3108 3125 3145 3192 3230 3325 3332 3400 3468 3500 3515 3570 3626 3675 3700 3724 3750 3774 3800 3876 3885 3990 4046 4107 4165 4200 4218 4250 4335 4375 4403 4440 4522 4625 4655 4750 4760 4845 4900 4921 4998 5000 5032 5100 5180 5250 5320 5439 5476 5491 5550 5586 5624 5700 5780 5880 5950 6069 6125 6216 6250 6290 6375 6460 6475 6650 6664 6783 6845 6936 7000 7030 7125 7140 7225 7252 7350 7400 7448 7500 7548 7752 7770 7980 8075 8092 8214 8330 8436 8500 8670 8750 8806 8925 9044 9065 9250 9310 9375 9435 9500 9583 9690 9800 9842 9975 9996 10115 10200 10360 10500 10545 10625 10693 10878 10952 10982 11100 11172 11305 11400 11560 11875 11900 11951 12138 12250 12495 12500 12580 12750 12920 12950 13125 13209 13300 13566 13690 13875 13965 14060 14161 14250 14280 14450 14504 14700 14763 14875 15000 15096 15540 15625 15725 15827 15960 16150 16184 16428 16473 16625 16660 16872 17000 17340 17500 17575 17612 17850 18088 18130 18375 18500 18620 18750 18870 19000 19166 19380 19425 19684 19950 19992 20230 20535 20825 21000 21090 21250 21386 21675 21756 21875 21964 22015 22200 22344 22610 23125 23273 23275 23750 23800 23902 24225 24276 24500 24605 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109799812500 110502531300 112757685000 116074087500 117455921875 119488031250 121165056250 124439787500 129819703125 131550632500 133328343750 135419768750 138128164125 140947106250 142547125000 145092609375 145398067500 148365375000 149327745000 155549734375 157860759000 159317375000 162503722500 164438290625 165820125000 173092937500 177771125000 181747584375 184170885500 186659681250 187929475000 193456812500 196483875000 197325948750 203129653125 207711525000 213820687500 219599625000 221005062600 230213606875 232148175000 234911843750 238976062500 242330112500 248879575000 259639406250 263101265000 266656687500 270839537500 276256328250 281894212500 290185218750 290796135000 302912640625 311099468750 325007445000 328876581250 338549421875 346185875000 352367765625 363495168750 368341771000 373319362500 386913625000 394651897500 406259306250 427641375000 460427213750 466649203125 469823687500 477952125000 484660225000 493314871875 519278812500 533313375000 541679075000 552512656500 563788425000 580370437500 605825281250 622198937500 657753162500 677098843750 690640820625 704735531250 726990337500 746638725000 789303795000 812518612500 822191453125 908737921875 920854427500 933298406250 939647375000 986629743750 1015648265625 1038557625000 1105025313000 1151068034375 1160740875000 1211650562500 1244397875000 1315506325000 1354197687500 1381281641250 1409471062500 1453980675000 1625037225000 1644382906250 1817475843750 1841708855000 1866596812500 1973259487500 2031296531250 2302136068750 2423301125000 2466574359375 2708395375000 2762563282500 2818942125000 3288765812500 3453204103125 3634951687500 3733193625000 3946518975000 4062593062500 4604272137500 4933148718750 5525126565000 5755340171875 6577531625000 6906408206250 7269903375000 8125186125000 9208544275000 9866297437500 11510680343750 13812816412500 17266020515625 19732594875000 23021360687500 27625632825000 34532041031250 46042721375000 69064082062500 138128164125000
- Sum of all divisors σ(n): 577049480859600
- Sum of proper divisors (its aliquot sum) s(n): 438921316734600
- 138128164125000 is an abundant number, because the sum of its proper divisors (438921316734600) is greater than itself. Its abundance is 300793152609600
Bases of 138128164125000
- Binary: 111110110100000011110000010011111111001010010002
- Hexadecimal: 0x7DA07827F948
- Base-36: 1CYN7AK18O
Squares and roots of 138128164125000
- 138128164125000 squared (1381281641250002) is 19079389724542937015625000000
- 138128164125000 cubed (1381281641250003) is 2635401075276505344703787689453125000000000
-
The
square root of 138128164125000 is 11752793.8859234659 -
The
cube root of 138128164125000 is 51692.4853332155
Scales and comparisons
How big is 138128164125000?- 138,128,164,125,000 seconds is equal to 4,392,048 years, 18 weeks, 5 days, 7 hours, 10 minutes.
-
To count from 1 to 138,128,164,125,000 would take you about ten million, nine hundred eighty thousand, one hundred twenty 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 138128164125000 cubic inches would be around 4307.7 feet tall.
Recreational maths with 138128164125000
- 138128164125000 backwards is 000521461821831
- 138128164125000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138128164125000's digits is 42
- More coming soon!
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Cite this page
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"Number 138128164125000 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 138128164125000 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/138128164125000/
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The information we have on file for 138128164125000 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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