128319819350016000
128,319,819,350,016,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 128319819350016000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3744 divisors.
128319819350016000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, seven hundred forty-four divisors.
Prime factorization of 128319819350016000:
225 × 3 × 53 × 7 × 172 × 712
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 17 × 17 × 71 × 71)See below for interesting mathematical facts about the number 128319819350016000 from the Numbermatics database.
Names of 128319819350016000
- Cardinal: 128319819350016000 can be written as One hundred twenty-eight quadrillion, three hundred nineteen trillion, eight hundred nineteen billion, three hundred fifty million, sixteen thousand.
Scientific notation
- Scientific notation: 1.28319819350016 × 1017
Factors of 128319819350016000
Divisors of 128319819350016000
- Number of divisors d(n): 3744
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 30 32 34 35 40 42 48 50 51 56 60 64 68 70 71 75 80 84 85 96 100 102 105 112 119 120 125 128 136 140 142 150 160 168 170 175 192 200 204 210 213 224 238 240 250 255 256 272 280 284 289 300 320 336 340 350 355 357 375 384 400 408 420 425 426 448 476 480 497 500 510 512 525 544 560 568 578 595 600 640 672 680 700 710 714 750 768 800 816 840 850 852 867 875 896 952 960 994 1000 1020 1024 1050 1065 1088 1120 1136 1156 1190 1200 1207 1275 1280 1344 1360 1400 1420 1428 1445 1491 1500 1536 1600 1632 1680 1700 1704 1734 1750 1775 1785 1792 1904 1920 1988 2000 2023 2040 2048 2100 2125 2130 2176 2240 2272 2312 2380 2400 2414 2485 2550 2560 2625 2688 2720 2800 2840 2856 2890 2975 2982 3000 3072 3200 3264 3360 3400 3408 3468 3500 3550 3570 3584 3621 3808 3840 3976 4000 4046 4080 4096 4200 4250 4260 4335 4352 4480 4544 4624 4760 4800 4828 4970 5041 5100 5120 5250 5325 5376 5440 5600 5680 5712 5780 5950 5964 6000 6035 6069 6144 6375 6400 6528 6720 6800 6816 6936 7000 7100 7140 7168 7225 7242 7455 7616 7680 7952 8000 8092 8160 8192 8400 8449 8500 8520 8670 8704 8875 8925 8960 9088 9248 9520 9600 9656 9940 10082 10115 10200 10240 10500 10650 10752 10880 11200 11360 11424 11560 11900 11928 12000 12070 12138 12288 12425 12750 12800 13056 13440 13600 13632 13872 14000 14200 14280 14336 14450 14484 14875 14910 15123 15232 15360 15904 16000 16184 16320 16384 16800 16898 17000 17040 17340 17408 17750 17850 17920 18105 18176 18496 19040 19200 19312 19880 20164 20230 20400 20480 20519 21000 21300 21504 21675 21760 22400 22720 22848 23120 23800 23856 24000 24140 24276 24576 24850 25205 25347 25500 25600 26112 26625 26880 27200 27264 27744 28000 28400 28560 28672 28900 28968 29750 29820 30175 30246 30345 30464 30720 31808 32000 32368 32640 32768 33600 33796 34000 34080 34680 34816 35287 35500 35700 35840 36125 36210 36352 36992 37275 38080 38400 38624 39760 40328 40460 40800 40960 41038 42000 42245 42600 43008 43350 43520 44625 44800 45440 45696 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1145712672768000 1222093517619200 1258037444608000 1283198193500160 1336664784896000 1509644933529600 1527616897024000 1603997741875200 1710930924666880 1807321399296000 1833140276428800 1887056166912000 2004997177344000 2138663655833600 2291425345536000 2516074889216000 2566396387000320 2673329569792000 3055233794048000 3207995483750400 3666280552857600 3774112333824000 4009994354688000 4277327311667200 4582850691072000 5132792774000640 5346659139584000 6110467588096000 6415990967500800 7548224667648000 8019988709376000 8554654623334400 9165701382144000 10693318279168000 12831981935001600 16039977418752000 18331402764288000 21386636558336000 25663963870003200 32079954837504000 42773273116672000 64159909675008000 128319819350016000
- Sum of all divisors σ(n): 525858169930494336
- Sum of proper divisors (its aliquot sum) s(n): 397538350580478336
- 128319819350016000 is an abundant number, because the sum of its proper divisors (397538350580478336) is greater than itself. Its abundance is 269218531230462336
Bases of 128319819350016000
- Binary: 1110001111110001000110010001000100000000000000000000000002
- Hexadecimal: 0x1C7E23222000000
- Base-36: Z3HKV7DG0LC
Squares and roots of 128319819350016000
- 128319819350016000 squared (1283198193500160002) is 16465976038020740656719200256000000
- 128319819350016000 cubed (1283198193500160003) is 2112911070620513628240016472376901260804096000000000
-
The
square root of 128319819350016000 is 358217558.6846853603 -
The
cube root of 128319819350016000 is 504387.8074544173
Scales and comparisons
How big is 128319819350016000?- 128,319,819,350,016,000 seconds is equal to 4,080,173,336 years, 3 weeks, 3 days, 21 hours, 20 minutes.
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To count from 1 to 128,319,819,350,016,000 would take you about twelve billion, two hundred forty million, five hundred twenty thousand and eight 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 128319819350016000 cubic inches would be around 42032.3 feet tall.
Recreational maths with 128319819350016000
- 128319819350016000 backwards is 000610053918913821
- The number of decimal digits it has is: 18
- The sum of 128319819350016000's digits is 57
- More coming soon!
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The information we have on file for 128319819350016000 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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