1327968000
1,327,968,000 is an even composite number composed of five prime numbers multiplied together.
1327968000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 1327968000:
28 × 33 × 53 × 29 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 29 × 53)See below for interesting mathematical facts about the number 1327968000 from the Numbermatics database.
Names of 1327968000
- Cardinal: 1327968000 can be written as One billion, three hundred twenty-seven million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.327968 × 109
Factors of 1327968000
Divisors of 1327968000
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 29 30 32 36 40 45 48 50 53 54 58 60 64 72 75 80 87 90 96 100 106 108 116 120 125 128 135 144 145 150 159 160 174 180 192 200 212 216 225 232 240 250 256 261 265 270 288 290 300 318 320 348 360 375 384 400 424 432 435 450 464 477 480 500 522 530 540 576 580 600 636 640 675 696 720 725 750 768 783 795 800 848 864 870 900 928 954 960 1000 1044 1060 1080 1125 1152 1160 1200 1272 1280 1305 1325 1350 1392 1431 1440 1450 1500 1537 1566 1590 1600 1696 1728 1740 1800 1856 1908 1920 2000 2088 2120 2160 2175 2250 2304 2320 2385 2400 2544 2610 2650 2700 2784 2862 2880 2900 3000 3074 3132 3180 3200 3375 3392 3456 3480 3600 3625 3712 3816 3840 3915 3975 4000 4176 4240 4320 4350 4500 4611 4640 4770 4800 5088 5220 5300 5400 5568 5724 5760 5800 6000 6148 6264 6360 6400 6525 6625 6750 6784 6912 6960 7155 7200 7250 7424 7632 7685 7830 7950 8000 8352 8480 8640 8700 9000 9222 9280 9540 9600 10176 10440 10600 10800 10875 11136 11448 11520 11600 11925 12000 12296 12528 12720 13050 13250 13500 13568 13833 13920 14310 14400 14500 15264 15370 15660 15900 16000 16704 16960 17280 17400 18000 18444 18560 19080 19200 19575 19875 20352 20880 21200 21600 21750 22272 22896 23055 23200 23850 24000 24592 25056 25440 26100 26500 27000 27666 27840 28620 28800 29000 30528 30740 31320 31800 32000 32625 33408 33920 34560 34800 35775 36000 36888 37120 38160 38425 39150 39750 40704 41499 41760 42400 43200 43500 45792 46110 46400 47700 48000 49184 50112 50880 52200 53000 54000 55332 55680 57240 57600 58000 59625 61056 61480 62640 63600 65250 66816 67840 69165 69600 71550 72000 73776 76320 76850 78300 79500 82998 83520 84800 86400 87000 91584 92220 92800 95400 96000 97875 98368 100224 101760 104400 106000 108000 110664 111360 114480 115275 116000 119250 122112 122960 125280 127200 130500 138330 139200 143100 144000 147552 152640 153700 156600 159000 165996 167040 169600 172800 174000 178875 183168 184440 185600 190800 192125 195750 196736 200448 203520 207495 208800 212000 216000 221328 228960 230550 232000 238500 245920 250560 254400 261000 276660 278400 286200 288000 295104 305280 307400 313200 318000 331992 334080 339200 345825 348000 357750 366336 368880 381600 384250 391500 393472 414990 417600 424000 432000 442656 457920 461100 464000 477000 491840 501120 508800 522000 553320 556800 572400 576375 590208 610560 614800 626400 636000 663984 691650 696000 715500 737760 763200 768500 783000 829980 835200 848000 864000 885312 915840 922200 928000 954000 983680 1002240 1017600 1037475 1044000 1106640 1144800 1152750 1180416 1229600 1252800 1272000 1327968 1383300 1392000 1431000 1475520 1526400 1537000 1566000 1659960 1670400 1696000 1729125 1770624 1831680 1844400 1908000 1967360 2074950 2088000 2213280 2289600 2305500 2459200 2505600 2544000 2655936 2766600 2784000 2862000 2951040 3052800 3074000 3132000 3319920 3458250 3541248 3688800 3816000 4149900 4176000 4426560 4579200 4611000 4918400 5011200 5088000 5187375 5311872 5533200 5724000 5902080 6148000 6264000 6639840 6916500 7377600 7632000 8299800 8352000 8853120 9158400 9222000 9836800 10374750 10623744 11066400 11448000 12296000 12528000 13279680 13833000 14755200 15264000 16599600 17706240 18444000 20749500 22132800 22896000 24592000 25056000 26559360 27666000 29510400 33199200 36888000 41499000 44265600 45792000 49184000 53118720 55332000 66398400 73776000 82998000 88531200 110664000 132796800 147552000 165996000 221328000 265593600 331992000 442656000 663984000 1327968000
- Sum of all divisors σ(n): 5165596800
- Sum of proper divisors (its aliquot sum) s(n): 3837628800
- 1327968000 is an abundant number, because the sum of its proper divisors (3837628800) is greater than itself. Its abundance is 2509660800
Bases of 1327968000
- Binary: 10011110010011100101111000000002
- Hexadecimal: 0x4F272F00
- Base-36: LYMYO0
Squares and roots of 1327968000
- 1327968000 squared (13279680002) is 1763499009024000000
- 1327968000 cubed (13279680003) is 2341870252015583232000000000
-
The
square root of 1327968000 is 36441.2952568923 -
The
cube root of 1327968000 is 1099.1641032499
Scales and comparisons
How big is 1327968000?- 1,327,968,000 seconds is equal to 42 years, 11 weeks, 5 days.
-
To count from 1 to 1,327,968,000 would take you about eighty-four 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 1327968000 cubic inches would be around 91.6 feet tall.
Recreational maths with 1327968000
- 1327968000 backwards is 0008697231
- 1327968000 is a
Harshad number . - The number of decimal digits it has is: 10
- The sum of 1327968000's digits is 36
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 1327968000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 April 2024.
APA style:
Numbermatics. (2024). Number 1327968000 - Facts about the integer. Retrieved 27 April 2024, from https://numbermatics.com/n/1327968000/
Chicago style:
Numbermatics. 2024. "Number 1327968000 - Facts about the integer". https://numbermatics.com/n/1327968000/
The information we have on file for 1327968000 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 1327968000, math, Factors of 1327968000, curriculum, school, college, exams, university, Prime factorization of 1327968000, STEM, science, technology, engineering, physics, economics, calculator, one billion, three hundred twenty-seven million, nine hundred sixty-eight thousand.