1948315328000
1,948,315,328,000 is an even composite number composed of five prime numbers multiplied together.
1948315328000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 1948315328000:
29 × 53 × 17 × 19 × 3072
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 17 × 19 × 307 × 307)See below for interesting mathematical facts about the number 1948315328000 from the Numbermatics database.
Names of 1948315328000
- Cardinal: 1948315328000 can be written as One trillion, nine hundred forty-eight billion, three hundred fifteen million, three hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.948315328 × 1012
Factors of 1948315328000
Divisors of 1948315328000
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 4 5 8 10 16 17 19 20 25 32 34 38 40 50 64 68 76 80 85 95 100 125 128 136 152 160 170 190 200 250 256 272 304 307 320 323 340 380 400 425 475 500 512 544 608 614 640 646 680 760 800 850 950 1000 1088 1216 1228 1280 1292 1360 1520 1535 1600 1615 1700 1900 2000 2125 2176 2375 2432 2456 2560 2584 2720 3040 3070 3200 3230 3400 3800 4000 4250 4352 4750 4864 4912 5168 5219 5440 5833 6080 6140 6400 6460 6800 7600 7675 8000 8075 8500 8704 9500 9728 9824 10336 10438 10880 11666 12160 12280 12800 12920 13600 15200 15350 16000 16150 17000 19000 19648 20672 20876 21760 23332 24320 24560 25840 26095 27200 29165 30400 30700 32000 32300 34000 38000 38375 39296 40375 41344 41752 43520 46664 48640 49120 51680 52190 54400 58330 60800 61400 64000 64600 68000 76000 76750 78592 80750 82688 83504 93328 94249 98240 99161 103360 104380 108800 116660 121600 122800 129200 130475 136000 145825 152000 153500 157184 161500 165376 167008 186656 188498 196480 198322 206720 208760 217600 233320 243200 245600 258400 260950 272000 291650 304000 307000 323000 334016 373312 376996 392960 396644 413440 417520 466640 471245 491200 495805 516800 521900 544000 583300 608000 614000 646000 652375 668032 729125 746624 753992 785920 793288 826880 835040 933280 942490 982400 991610 1033600 1043800 1088000 1166600 1216000 1228000 1292000 1304750 1336064 1458250 1493248 1507984 1586576 1602233 1670080 1790731 1866560 1884980 1964800 1983220 2067200 2087600 2333200 2356225 2456000 2479025 2584000 2609500 2672128 2916500 2986496 3015968 3173152 3204466 3340160 3581462 3733120 3769960 3929600 3966440 4134400 4175200 4666400 4712450 4912000 4958050 5168000 5219000 5833000 6031936 6346304 6408932 6680320 7162924 7466240 7539920 7932880 8011165 8350400 8953655 9332800 9424900 9824000 9916100 10336000 10438000 11666000 11781125 12063872 12395125 12692608 12817864 13360640 14325848 14932480 15079840 15865760 16022330 16700800 17907310 18665600 18849800 19648000 19832200 20672000 20876000 23332000 23562250 24127744 24790250 25385216 25635728 28651696 30159680 30442427 31731520 32044660 33401600 35814620 37331200 37699600 39664400 40055825 41752000 44768275 46664000 47124500 48255488 49580500 50770432 51271456 57303392 60319360 60884854 63463040 64089320 66803200 71629240 74662400 75399200 79328800 80111650 83504000 89536550 93328000 94249000 99161000 102542912 114606784 120638720 121769708 126926080 128178640 143258480 150798400 152212135 158657600 160223300 167008000 179073100 186656000 188498000 198322000 200279125 205085824 223841375 229213568 241277440 243539416 253852160 256357280 286516960 301596800 304424270 317315200 320446600 334016000 358146200 373312000 376996000 396644000 400558250 410171648 447682750 458427136 487078832 512714560 573033920 603193600 608848540 634630400 640893200 716292400 753992000 761060675 793288000 801116500 820343296 895365500 916854272 974157664 1025429120 1146067840 1206387200 1217697080 1269260800 1281786400 1432584800 1507984000 1522121350 1586576000 1602233000 1790731000 1948315328 2050858240 2292135680 2435394160 2563572800 2865169600 3015968000 3044242700 3173152000 3204466000 3581462000 3805303375 3896630656 4101716480 4584271360 4870788320 5127145600 5730339200 6031936000 6088485400 6346304000 6408932000 7162924000 7610606750 7793261312 9741576640 10254291200 11460678400 12176970800 12817864000 14325848000 15221213500 15586522624 19483153280 20508582400 22921356800 24353941600 25635728000 28651696000 30442427000 38966306560 48707883200 51271456000 57303392000 60884854000 77932613120 97415766400 102542912000 114606784000 121769708000 194831532800 243539416000 389663065600 487078832000 974157664000 1948315328000
- Sum of all divisors σ(n): 5432458505760
- Sum of proper divisors (its aliquot sum) s(n): 3484143177760
- 1948315328000 is an abundant number, because the sum of its proper divisors (3484143177760) is greater than itself. Its abundance is 1535827849760
Bases of 1948315328000
- Binary: 111000101101000001010010010011110000000002
- Hexadecimal: 0x1C5A0A49E00
- Base-36: OV1KN4E8
Squares and roots of 1948315328000
- 1948315328000 squared (19483153280002) is 3795932617319747584000000
- 1948315328000 cubed (19483153280003) is 7395673702379222494998167552000000000
-
The
square root of 1948315328000 is 1395820.6646987285 -
The
cube root of 1948315328000 is 12489.7309324103
Scales and comparisons
How big is 1948315328000?- 1,948,315,328,000 seconds is equal to 61,950 years, 20 weeks, 5 days, 22 hours, 13 minutes, 20 seconds.
-
To count from 1 to 1,948,315,328,000 would take you about one hundred fifty-four thousand, eight hundred seventy-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 1948315328000 cubic inches would be around 1040.8 feet tall.
Recreational maths with 1948315328000
- 1948315328000 backwards is 0008235138491
- The number of decimal digits it has is: 13
- The sum of 1948315328000's digits is 44
- 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 1948315328000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 1948315328000 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/1948315328000/
Chicago style:
Numbermatics. 2024. "Number 1948315328000 - Facts about the integer". https://numbermatics.com/n/1948315328000/
The information we have on file for 1948315328000 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 1948315328000, math, Factors of 1948315328000, curriculum, school, college, exams, university, Prime factorization of 1948315328000, STEM, science, technology, engineering, physics, economics, calculator, one trillion, nine hundred forty-eight billion, three hundred fifteen million, three hundred twenty-eight thousand.