132978832600320
132,978,832,600,320 is an even composite number composed of six prime numbers multiplied together.
What does the number 132978832600320 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
132978832600320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 132978832600320:
28 × 35 × 5 × 7 × 733 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 73 × 73 × 73 × 157)See below for interesting mathematical facts about the number 132978832600320 from the Numbermatics database.
Names of 132978832600320
- Cardinal: 132978832600320 can be written as One hundred thirty-two trillion, nine hundred seventy-eight billion, eight hundred thirty-two million, six hundred thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3297883260032 × 1014
Factors of 132978832600320
Divisors of 132978832600320
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 64 70 72 73 80 81 84 90 96 105 108 112 120 126 128 135 140 144 146 157 160 162 168 180 189 192 210 216 219 224 240 243 252 256 270 280 288 292 314 315 320 324 336 360 365 378 384 405 420 432 438 448 471 480 486 504 511 540 560 567 576 584 628 630 640 648 657 672 720 730 756 768 785 810 840 864 876 896 942 945 960 972 1008 1022 1080 1095 1099 1120 1134 1152 1168 1215 1256 1260 1280 1296 1314 1344 1413 1440 1460 1512 1533 1570 1620 1680 1701 1728 1752 1792 1884 1890 1920 1944 1971 2016 2044 2160 2190 2198 2240 2268 2304 2336 2355 2430 2512 2520 2555 2592 2628 2688 2826 2835 2880 2920 3024 3066 3140 3240 3285 3297 3360 3402 3456 3504 3768 3780 3840 3888 3942 4032 4088 4239 4320 4380 4396 4480 4536 4599 4672 4710 4860 5024 5040 5110 5184 5256 5329 5376 5495 5652 5670 5760 5840 5913 6048 6132 6280 6480 6570 6594 6720 6804 6912 7008 7065 7536 7560 7665 7776 7884 8064 8176 8478 8505 8640 8760 8792 8960 9072 9198 9344 9420 9720 9855 9891 10048 10080 10220 10368 10512 10658 10990 11304 11340 11461 11520 11680 11826 12096 12264 12560 12717 12960 13140 13188 13440 13608 13797 14016 14130 15072 15120 15330 15552 15768 15987 16128 16352 16485 16956 17010 17280 17520 17584 17739 18144 18396 18688 18840 19440 19710 19782 20096 20160 20440 20736 21024 21195 21316 21980 22608 22680 22922 22995 23360 23652 24192 24528 25120 25434 25920 26280 26376 26645 26880 27216 27594 28032 28260 29565 29673 30144 30240 30660 31104 31536 31974 32704 32970 33912 34020 34383 34560 35040 35168 35478 36288 36792 37303 37680 38151 38880 39420 39564 40192 40320 40880 41391 42048 42390 42632 43960 45216 45360 45844 45990 46720 47304 47961 48384 49056 49455 50240 50868 51840 52560 52752 53290 54432 55188 56064 56520 57305 59130 59346 60288 60480 61320 62208 63072 63585 63948 65408 65940 67824 68040 68766 68985 70080 70336 70956 72576 73584 74606 75360 76302 77760 78840 79128 79935 80227 80640 81760 82782 84096 84780 85264 87920 88695 89019 90432 90720 91688 91980 93440 94608 95922 98112 98910 100480 101736 103149 103680 105120 105504 106580 108864 110376 111909 113040 114610 118260 118692 120576 120960 122640 124173 126144 127170 127896 130816 131880 135648 136080 137532 137970 140160 140672 141912 143883 145152 147168 148365 149212 150720 152604 155520 157680 158256 159870 160454 163520 165564 168192 169560 170528 171915 175840 177390 178038 180864 181440 183376 183960 186515 189216 190755 191844 196224 197820 200960 203472 206298 206955 210240 211008 213160 217728 220752 223818 226080 229220 236520 237384 239805 240681 241920 245280 248346 252288 254340 255792 263760 267057 271296 272160 275064 275940 280320 281344 283824 287766 294336 296730 298424 301440 305208 309447 311040 315360 316512 319740 320908 327040 331128 335727 339120 341056 343830 351680 354780 356076 361728 362880 366752 367920 373030 378432 381510 383688 389017 392448 395640 401135 406944 412596 413910 420480 422016 426320 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633232536192 692598086460 703591706880 738771292224 791540670240 820856991360 831117703752 846998933760 910813921920 923464115280 949848804288 985028389632 1038897129690 1055387560320 1108156938336 1187311005360 1231285487040 1266465072384 1385196172920 1477542584448 1583081340480 1641713982720 1662235407504 1821627843840 1846928230560 1899697608576 2077794259380 2110775120640 2216313876672 2374622010720 2462570974080 2770392345840 2955085168896 3166162680960 3324470815008 3693856461120 3799395217152 4155588518760 4432627753344 4749244021440 4925141948160 5540784691680 6332325361920 6648941630016 7387712922240 8311177037520 8865255506688 9498488042880 11081569383360 13297883260032 14775425844480 16622354075040 18996976085760 22163138766720 26595766520064 33244708150080 44326277533440 66489416300160 132978832600320
- Sum of all divisors σ(n): 556390283205120
- Sum of proper divisors (its aliquot sum) s(n): 423411450604800
- 132978832600320 is an abundant number, because the sum of its proper divisors (423411450604800) is greater than itself. Its abundance is 290432618004480
Bases of 132978832600320
- Binary: 111100011110001100011000001010001101101000000002
- Hexadecimal: 0x78F18C146D00
- Base-36: 1B4XMRIO00
Squares and roots of 132978832600320
- 132978832600320 squared (1329788326003202) is 17683369919743929212864102400
- 132978832600320 cubed (1329788326003203) is 2351513888367162076038023296946974752768000
-
The
square root of 132978832600320 is 11531644.8349886323 -
The
cube root of 132978832600320 is 51041.9790981553
Scales and comparisons
How big is 132978832600320?- 132,978,832,600,320 seconds is equal to 4,228,315 years, 28 weeks, 2 days, 19 hours, 12 minutes.
-
To count from 1 to 132,978,832,600,320 would take you about ten million, five hundred seventy thousand, seven hundred eighty-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 132978832600320 cubic inches would be around 4253.5 feet tall.
Recreational maths with 132978832600320
- 132978832600320 backwards is 023006238879231
- 132978832600320 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 132978832600320's digits is 54
- More coming soon!
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"Number 132978832600320 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 132978832600320 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/132978832600320/
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The information we have on file for 132978832600320 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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