997868144000
997,868,144,000 is an even composite number composed of six prime numbers multiplied together.
997868144000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 997868144000:
27 × 53 × 72 × 13 × 19 × 5153
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 13 × 19 × 5153)See below for interesting mathematical facts about the number 997868144000 from the Numbermatics database.
Names of 997868144000
- Cardinal: 997868144000 can be written as Nine hundred ninety-seven billion, eight hundred sixty-eight million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 9.97868144 × 1011
Factors of 997868144000
Divisors of 997868144000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 19 20 25 26 28 32 35 38 40 49 50 52 56 64 65 70 76 80 91 95 98 100 104 112 125 128 130 133 140 152 160 175 182 190 196 200 208 224 245 247 250 260 266 280 304 320 325 350 364 380 392 400 416 448 455 475 490 494 500 520 532 560 608 637 640 650 665 700 728 760 784 800 832 875 896 910 931 950 980 988 1000 1040 1064 1120 1216 1225 1235 1274 1300 1330 1400 1456 1520 1568 1600 1625 1664 1729 1750 1820 1862 1900 1960 1976 2000 2080 2128 2240 2275 2375 2432 2450 2470 2548 2600 2660 2800 2912 3040 3136 3185 3200 3250 3325 3458 3500 3640 3724 3800 3920 3952 4000 4160 4256 4480 4550 4655 4750 4900 4940 5096 5153 5200 5320 5600 5824 6080 6125 6175 6272 6370 6500 6650 6916 7000 7280 7448 7600 7840 7904 8000 8320 8512 8645 9100 9310 9500 9800 9880 10192 10306 10400 10640 11200 11375 11648 12103 12160 12250 12350 12740 13000 13300 13832 14000 14560 14896 15200 15680 15808 15925 16000 16625 17024 17290 18200 18620 19000 19600 19760 20384 20612 20800 21280 22400 22750 23275 24206 24500 24700 25480 25765 26000 26600 27664 28000 29120 29792 30400 30875 31360 31616 31850 33250 34580 36071 36400 37240 38000 39200 39520 40768 41224 41600 42560 43225 45500 46550 48412 49000 49400 50960 51530 52000 53200 55328 56000 58240 59584 60515 60800 61750 63700 66500 66989 69160 72142 72800 74480 76000 78400 79040 79625 81536 82448 85120 86450 91000 93100 96824 97907 98000 98800 101920 103060 104000 106400 110656 112000 116375 119168 121030 123500 127400 128825 133000 133978 138320 144284 145600 148960 152000 156800 158080 159250 164896 172900 180355 182000 186200 193648 195814 196000 197600 203840 206120 208000 212800 216125 221312 232750 242060 247000 252497 254800 257650 266000 267956 276640 288568 291200 297920 302575 304000 318500 329792 334945 345800 360710 364000 372400 387296 391628 392000 395200 407680 412240 425600 432250 465500 468923 484120 489535 494000 504994 509600 515300 532000 535912 553280 577136 595840 605150 637000 644125 659584 669890 685349 691600 721420 728000 744800 774592 783256 784000 790400 824480 864500 901775 931000 937846 968240 979070 988000 1009988 1019200 1030600 1064000 1071824 1106560 1154272 1210300 1262485 1272791 1274000 1288250 1339780 1370698 1383200 1442840 1456000 1489600 1512875 1549184 1566512 1648960 1674725 1729000 1803550 1862000 1875692 1936480 1958140 1976000 2019976 2038400 2061200 2128000 2143648 2308544 2344615 2420600 2447675 2524970 2545582 2548000 2576500 2679560 2741396 2766400 2885680 2979200 3025750 3133024 3282461 3297920 3349450 3426745 3458000 3607100 3724000 3751384 3872960 3916280 3952000 4039952 4122400 4287296 4508875 4617088 4689230 4797443 4841200 4895350 5049940 5091164 5096000 5153000 5359120 5482792 5532800 5771360 6051500 6266048 6312425 6363955 6564922 6698900 6853490 6916000 7214200 7448000 7502768 7745920 7832560 8079904 8244800 8373625 8574592 8909537 9017750 9378460 9594886 9682400 9790700 10099880 10182328 10192000 10306000 10718240 10965584 11542720 11723075 12103000 12238375 12532096 12624850 12727910 13129844 13397800 13706980 13832000 14428400 14896000 15005536 15665120 16159808 16412305 16489600 16747250 17133725 17819074 18035500 18756920 19189772 19364800 19581400 20199760 20364656 20612000 21436480 21931168 23085440 23446150 23987215 24206000 24476750 25249700 25455820 26259688 26795600 27413960 27664000 28856800 30011072 31330240 31562125 31819775 32319616 32824610 33494500 34267450 35638148 36071000 37513840 38379544 38729600 39162800 40399520 40729312 41224000 42872960 43862336 44547685 46892300 47974430 48412000 48953500 50499400 50911640 52519376 53591200 54827920 57713600 58615375 60022144 62366759 62660480 63124250 63639550 65649220 66989000 68534900 71276296 72142000 75027680 76759088 78325600 80799040 81458624 82061525 82448000 85668625 87724672 89095370 93784600 95948860 96824000 97907000 100998800 101823280 105038752 107182400 109655840 115427200 117230750 119936075 124733518 126248500 127279100 131298440 133978000 137069800 142552592 144284000 150055360 153518176 156651200 159098875 161598080 162917248 164123050 171337250 178190740 187569200 191897720 193648000 195814000 201997600 203646560 210077504 214364800 219311680 222738425 234461500 239872150 249467036 252497000 254558200 262596880 267956000 274139600 285105184 288568000 300110720 307036352 311833795 313302400 318197750 328246100 342674500 356381480 375138400 383795440 391628000 403995200 407293120 410307625 420155008 438623360 445476850 468923000 479744300 498934072 504994000 509116400 525193760 535912000 548279200 570210368 577136000 599680375 614072704 623667590 636395500 656492200 685349000 712762960 750276800 767590880 783256000 807990400 814586240 820615250 890953700 937846000 959488600 997868144 1009988000 1018232800 1050387520 1071824000 1096558400 1113692125 1140420736 1199360750 1247335180 1272791000 1312984400 1370698000 1425525920 1500553600 1535181760 1559168975 1566512000 1641230500 1781907400 1875692000 1918977200 1995736288 2019976000 2036465600 2100775040 2193116800 2227384250 2398721500 2494670360 2545582000 2625968800 2741396000 2851051840 3070363520 3118337950 3282461000 3563814800 3751384000 3837954400 3991472576 4039952000 4072931200 4454768500 4797443000 4989340720 5091164000 5251937600 5482792000 5702103680 6236675900 6564922000 7127629600 7502768000 7675908800 7795844875 7982945152 8909537000 9594886000 9978681440 10182328000 10503875200 10965584000 12473351800 13129844000 14255259200 15351817600 15591689750 17819074000 19189772000 19957362880 20364656000 24946703600 26259688000 28510518400 31183379500 35638148000 38379544000 39914725760 49893407200 52519376000 62366759000 71276296000 76759088000 99786814400 124733518000 142552592000 199573628800 249467036000 498934072000 997868144000
- Sum of all divisors σ(n): 3272216875200
- Sum of proper divisors (its aliquot sum) s(n): 2274348731200
- 997868144000 is an abundant number, because the sum of its proper divisors (2274348731200) is greater than itself. Its abundance is 1276480587200
Bases of 997868144000
- Binary: 11101000010101011001001110000101100000002
- Hexadecimal: 0xE855938580
- Base-36: CQEWXFNK
Squares and roots of 997868144000
- 997868144000 squared (9978681440002) is 995740832810004736000000
- 997868144000 cubed (9978681440003) is 993618056741133730543529984000000000
-
The
square root of 997868144000 is 998933.5032923863 -
The
cube root of 997868144000 is 9992.8887575551
Scales and comparisons
How big is 997868144000?- 997,868,144,000 seconds is equal to 31,729 years, 6 weeks, 1 day, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 997,868,144,000 would take you about sixty-three thousand, four hundred fifty-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 997868144000 cubic inches would be around 832.7 feet tall.
Recreational maths with 997868144000
- 997868144000 backwards is 000441868799
- 997868144000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 997868144000's digits is 56
- 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 997868144000 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
APA style:
Numbermatics. (2024). Number 997868144000 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/997868144000/
Chicago style:
Numbermatics. 2024. "Number 997868144000 - Facts about the integer". https://numbermatics.com/n/997868144000/
The information we have on file for 997868144000 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 997868144000, math, Factors of 997868144000, curriculum, school, college, exams, university, Prime factorization of 997868144000, STEM, science, technology, engineering, physics, economics, calculator, nine hundred ninety-seven billion, eight hundred sixty-eight million, one hundred forty-four thousand.