132968608976688000
132,968,608,976,688,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 132968608976688000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3072 divisors.
132968608976688000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 132968608976688000:
27 × 3 × 53 × 292 × 43 × 79 × 113 × 8581
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 29 × 29 × 43 × 79 × 113 × 8581)See below for interesting mathematical facts about the number 132968608976688000 from the Numbermatics database.
Names of 132968608976688000
- Cardinal: 132968608976688000 can be written as One hundred thirty-two quadrillion, nine hundred sixty-eight trillion, six hundred eight billion, nine hundred seventy-six million, six hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 1.32968608976688 × 1017
Factors of 132968608976688000
Divisors of 132968608976688000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 32 40 43 48 50 58 60 64 75 79 80 86 87 96 100 113 116 120 125 128 129 145 150 158 160 172 174 192 200 215 226 232 237 240 250 258 290 300 316 320 339 344 348 375 384 395 400 430 435 452 464 474 480 500 516 565 580 600 632 640 645 678 688 696 725 750 790 800 841 860 870 904 928 948 960 1000 1032 1075 1130 1160 1185 1200 1247 1264 1290 1356 1376 1392 1450 1500 1580 1600 1682 1695 1720 1740 1808 1856 1896 1920 1975 2000 2064 2150 2175 2260 2291 2320 2370 2400 2494 2523 2528 2580 2712 2752 2784 2825 2900 3000 3160 3200 3225 3277 3364 3390 3397 3440 3480 3616 3625 3712 3741 3792 3950 4000 4128 4205 4300 4350 4520 4582 4640 4740 4800 4859 4988 5046 5056 5160 5375 5424 5504 5568 5650 5800 5925 6000 6235 6320 6450 6554 6728 6780 6794 6873 6880 6960 7232 7250 7482 7584 7900 8000 8256 8410 8475 8581 8600 8700 8927 9040 9164 9280 9480 9600 9718 9831 9875 9976 10092 10112 10191 10320 10750 10848 10875 11136 11300 11455 11600 11850 12000 12470 12615 12640 12900 13108 13456 13560 13588 13746 13760 13920 14125 14464 14500 14577 14964 15168 15800 16000 16125 16385 16512 16820 16950 16985 17162 17200 17400 17854 18080 18328 18560 18705 18960 19436 19662 19750 19952 20184 20382 20640 21025 21500 21696 21750 22600 22910 23200 23700 24000 24295 24940 25230 25280 25743 25800 26216 26781 26912 27120 27176 27492 27520 27840 28250 29000 29154 29625 29928 30336 31175 31600 32250 32770 33640 33900 33970 34324 34365 34400 34800 35708 36160 36163 36656 37410 37920 38872 39324 39500 39904 40368 40764 41280 42050 42375 42905 43000 43392 43500 44635 45200 45820 46400 47400 48000 48590 49155 49880 50460 50560 50955 51486 51600 52432 53562 53824 54240 54352 54984 55680 56500 57275 58000 58308 59250 59856 62350 63075 63200 64500 65540 66439 67280 67800 67940 68648 68730 68800 69600 71416 72320 72326 72885 73312 74820 75840 77744 78648 79000 79808 80736 81528 81925 82560 84100 84750 84925 85810 86000 87000 89270 90400 91640 92800 93525 94800 95033 97180 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382093703956000 386536654002000 392237784592000 415526903052150 420786737268000 443228696588960 458512444747200 515382205336000 531874435906752 554035870736200 561048983024000 573140555934000 588356676888000 618458646403200 664843044883440 692544838420250 764187407912000 773073308004000 831053806104300 841573474536000 886457393177920 917024889494400 1030764410672000 1038817257630375 1063748871813504 1108071741472400 1146281111868000 1176713353776000 1329686089766880 1385089676840500 1528374815824000 1546146616008000 1662107612208600 1683146949072000 1772914786355840 2077634515260750 2216143482944800 2292562223736000 2659372179533760 2770179353681000 3092293232016000 3324215224417200 4155269030521500 4432286965889600 4585124447472000 5318744359067520 5540358707362000 6648430448834400 8310538061043000 8864573931779200 11080717414724000 13296860897668800 16621076122086000 22161434829448000 26593721795337600 33242152244172000 44322869658896000 66484304488344000 132968608976688000
- Sum of all divisors σ(n): 477286279729459200
- Sum of proper divisors (its aliquot sum) s(n): 344317670752771200
- 132968608976688000 is an abundant number, because the sum of its proper divisors (344317670752771200) is greater than itself. Its abundance is 211349061776083200
Bases of 132968608976688000
- Binary: 1110110000110011000111110110100000101010101010011100000002
- Hexadecimal: 0x1D8663ED0555380
- Base-36: 10D9FROCZ2IO
Squares and roots of 132968608976688000
- 132968608976688000 squared (1329686089766880002) is 17680650973195352574527449344000000
- 132968608976688000 cubed (1329686089766880003) is 2350971565708110981612353712372258596892672000000000
-
The
square root of 132968608976688000 is 364648610.2766442739 -
The
cube root of 132968608976688000 is 510406.7100185351
Scales and comparisons
How big is 132968608976688000?- 132,968,608,976,688,000 seconds is equal to 4,227,990,466 years, 28 weeks, 2 days, 18 hours, 40 minutes.
-
To count from 1 to 132,968,608,976,688,000 would take you about twelve billion, six hundred eighty-three million, nine hundred seventy-one thousand, three hundred ninety-nine 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 132968608976688000 cubic inches would be around 42533.9 feet tall.
Recreational maths with 132968608976688000
- 132968608976688000 backwards is 000886679806869231
- 132968608976688000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 132968608976688000's digits is 87
- More coming soon!
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Cite this page
MLA style:
"Number 132968608976688000 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
APA style:
Numbermatics. (2024). Number 132968608976688000 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/132968608976688000/
Chicago style:
Numbermatics. 2024. "Number 132968608976688000 - Facts about the integer". https://numbermatics.com/n/132968608976688000/
The information we have on file for 132968608976688000 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!
Keywords: Divisors of 132968608976688000, math, Factors of 132968608976688000, curriculum, school, college, exams, university, Prime factorization of 132968608976688000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-two quadrillion, nine hundred sixty-eight trillion, six hundred eight billion, nine hundred seventy-six million, six hundred eighty-eight thousand.