13412318320128000
13,412,318,320,128,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13412318320128000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3328 divisors.
13412318320128000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, three hundred twenty-eight divisors.
Prime factorization of 13412318320128000:
212 × 3 × 53 × 7 × 13 × 173 × 19531
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 13 × 17 × 17 × 17 × 19531)See below for interesting mathematical facts about the number 13412318320128000 from the Numbermatics database.
Names of 13412318320128000
- Cardinal: 13412318320128000 can be written as Thirteen quadrillion, four hundred twelve trillion, three hundred eighteen billion, three hundred twenty million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.3412318320128 × 1016
Factors of 13412318320128000
Divisors of 13412318320128000
- Number of divisors d(n): 3328
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 17 20 21 24 25 26 28 30 32 34 35 39 40 42 48 50 51 52 56 60 64 65 68 70 75 78 80 84 85 91 96 100 102 104 105 112 119 120 125 128 130 136 140 150 156 160 168 170 175 182 192 195 200 204 208 210 221 224 238 240 250 255 256 260 272 273 280 289 300 312 320 325 336 340 350 357 364 375 384 390 400 408 416 420 425 442 448 455 476 480 500 510 512 520 525 544 546 560 578 595 600 624 640 650 663 672 680 700 714 728 750 768 780 800 816 832 840 850 867 875 884 896 910 952 960 975 1000 1020 1024 1040 1050 1088 1092 1105 1120 1156 1190 1200 1248 1275 1280 1300 1326 1344 1360 1365 1400 1428 1445 1456 1500 1536 1547 1560 1600 1625 1632 1664 1680 1700 1734 1750 1768 1785 1792 1820 1904 1920 1950 2000 2023 2040 2048 2080 2100 2125 2176 2184 2210 2240 2275 2312 2380 2400 2496 2550 2560 2600 2625 2652 2688 2720 2730 2800 2856 2890 2912 2975 3000 3072 3094 3120 3200 3250 3264 3315 3328 3360 3400 3468 3500 3536 3570 3584 3640 3757 3808 3840 3900 4000 4046 4080 4096 4160 4200 4250 4335 4352 4368 4420 4480 4550 4624 4641 4760 4800 4875 4913 4992 5100 5120 5200 5250 5304 5376 5440 5460 5525 5600 5712 5780 5824 5950 6000 6069 6144 6188 6240 6375 6400 6500 6528 6630 6656 6720 6800 6825 6936 7000 7072 7140 7168 7225 7280 7514 7616 7680 7735 7800 8000 8092 8160 8320 8400 8500 8670 8704 8736 8840 8925 8960 9100 9248 9282 9520 9600 9750 9826 9984 10115 10200 10240 10400 10500 10608 10752 10880 10920 11050 11200 11271 11375 11424 11560 11648 11900 12000 12138 12288 12376 12480 12750 12800 13000 13056 13260 13312 13440 13600 13650 13872 14000 14144 14280 14336 14450 14560 14739 14875 15028 15232 15360 15470 15600 16000 16184 16320 16575 16640 16800 17000 17340 17408 17472 17680 17850 17920 18200 18496 18564 18785 19040 19200 19500 19531 19652 19968 20230 20400 20480 20800 21000 21216 21504 21675 21760 21840 22100 22400 22542 22750 22848 23120 23205 23296 23800 24000 24276 24565 24752 24960 25500 25600 26000 26112 26299 26520 26624 26880 27200 27300 27625 27744 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98619987648000 103171679385600 104783736876000 107298546561024 111769319334400 112708557312000 119752842144000 127736364953600 128964599232000 131493316864000 134123183201280 139711649168000 147388113408000 157791980236800 159670456192000 167653979001600 171952798976000 178830910935040 191604547430400 197239975296000 206343358771200 209567473752000 223538638668800 239505684288000 257929198464000 262986633728000 268246366402560 279423298336000 319340912384000 335307958003200 343905597952000 383209094860800 394479950592000 419134947504000 447077277337600 479011368576000 515858396928000 536492732805120 558846596672000 638681824768000 670615916006400 788959901184000 838269895008000 894154554675200 958022737152000 1031716793856000 1117693193344000 1341231832012800 1676539790016000 1916045474304000 2235386386688000 2682463664025600 3353079580032000 4470772773376000 6706159160064000 13412318320128000
- Sum of all divisors σ(n): 58365573451960320
- Sum of proper divisors (its aliquot sum) s(n): 44953255131832320
- 13412318320128000 is an abundant number, because the sum of its proper divisors (44953255131832320) is greater than itself. Its abundance is 31540936811704320
Bases of 13412318320128000
- Binary: 1011111010011001101110101101010001010111110000000000002
- Hexadecimal: 0x2FA66EB515F000
- Base-36: 3O29PZ409HC
Squares and roots of 13412318320128000
- 13412318320128000 squared (134123183201280002) is 179890282720441175889936384000000
- 13412318320128000 cubed (134123183201280003) is 2412745734544378578059152537271666737152000000000
-
The
square root of 13412318320128000 is 115811563.8445833267 -
The
cube root of 13412318320128000 is 237593.5340257641
Scales and comparisons
How big is 13412318320128000?- 13,412,318,320,128,000 seconds is equal to 426,470,235 years, 28 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 13,412,318,320,128,000 would take you about one billion, two hundred seventy-nine million, four hundred ten thousand, seven hundred 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 13412318320128000 cubic inches would be around 19799.5 feet tall.
Recreational maths with 13412318320128000
- 13412318320128000 backwards is 00082102381321431
- 13412318320128000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13412318320128000's digits is 39
- More coming soon!
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Cite this page
MLA style:
"Number 13412318320128000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
APA style:
Numbermatics. (2024). Number 13412318320128000 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/13412318320128000/
Chicago style:
Numbermatics. 2024. "Number 13412318320128000 - Facts about the integer". https://numbermatics.com/n/13412318320128000/
The information we have on file for 13412318320128000 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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