123072768000
123,072,768,000 is an even composite number composed of six prime numbers multiplied together.
123072768000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 123072768000:
211 × 32 × 53 × 7 × 13 × 587
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 13 × 587)See below for interesting mathematical facts about the number 123072768000 from the Numbermatics database.
Names of 123072768000
- Cardinal: 123072768000 can be written as One hundred twenty-three billion, seventy-two million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.23072768 × 1011
Factors of 123072768000
Divisors of 123072768000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 32 35 36 39 40 42 45 48 50 52 56 60 63 64 65 70 72 75 78 80 84 90 91 96 100 104 105 112 117 120 125 126 128 130 140 144 150 156 160 168 175 180 182 192 195 200 208 210 224 225 234 240 250 252 256 260 273 280 288 300 312 315 320 325 336 350 360 364 375 384 390 400 416 420 448 450 455 468 480 500 504 512 520 525 546 560 576 585 587 600 624 630 640 650 672 700 720 728 750 768 780 800 819 832 840 875 896 900 910 936 960 975 1000 1008 1024 1040 1050 1092 1120 1125 1152 1170 1174 1200 1248 1260 1280 1300 1344 1365 1400 1440 1456 1500 1536 1560 1575 1600 1625 1638 1664 1680 1750 1761 1792 1800 1820 1872 1920 1950 2000 2016 2048 2080 2100 2184 2240 2250 2275 2304 2340 2348 2400 2496 2520 2560 2600 2625 2688 2730 2800 2880 2912 2925 2935 3000 3072 3120 3150 3200 3250 3276 3328 3360 3500 3522 3584 3600 3640 3744 3840 3900 4000 4032 4095 4109 4160 4200 4368 4480 4500 4550 4608 4680 4696 4800 4875 4992 5040 5120 5200 5250 5283 5376 5460 5600 5760 5824 5850 5870 6000 6144 6240 6300 6400 6500 6552 6656 6720 6825 7000 7044 7168 7200 7280 7488 7631 7680 7800 7875 8000 8064 8190 8218 8320 8400 8736 8805 8960 9000 9100 9216 9360 9392 9600 9750 9984 10080 10240 10400 10500 10566 10752 10920 11200 11375 11520 11648 11700 11740 12000 12327 12480 12600 12800 13000 13104 13312 13440 13650 14000 14088 14336 14400 14560 14625 14675 14976 15262 15360 15600 15750 16000 16128 16380 16436 16640 16800 17472 17610 17920 18000 18200 18432 18720 18784 19200 19500 19968 20160 20475 20545 20800 21000 21132 21504 21840 22400 22750 22893 23040 23296 23400 23480 24000 24654 24960 25200 25600 26000 26208 26415 26624 26880 27300 28000 28176 28800 29120 29250 29350 29952 30524 30720 31200 31500 32000 32256 32760 32872 33280 33600 34125 34944 35220 35840 36000 36400 36981 37440 37568 38155 38400 39000 39936 40320 40950 41090 41600 42000 42264 43008 43680 44025 44800 45500 45786 46080 46592 46800 46960 48000 49308 49920 50400 51200 52000 52416 52830 53417 53760 54600 56000 56352 57600 58240 58500 58700 59904 61048 61635 62400 63000 64000 64512 65520 65744 66560 67200 68250 68679 69888 70440 71680 72000 72800 73375 73962 74880 75136 76310 76800 78000 79872 80640 81900 82180 83200 84000 84528 87360 88050 89600 91000 91572 92160 93184 93600 93920 96000 98616 99840 100800 102375 102725 104000 104832 105660 106834 107520 109200 112000 112704 114465 115200 116480 117000 117400 119808 122096 123270 124800 126000 128000 129024 131040 131488 132075 133120 134400 136500 137358 139776 140880 144000 145600 146750 147924 149760 150272 152620 153600 156000 160251 161280 163800 164360 166400 168000 169056 174720 176100 179200 182000 183144 184905 186368 187200 187840 190775 192000 197232 199680 201600 204750 205450 208000 209664 211320 213668 215040 218400 220125 224000 225408 228930 230400 232960 234000 234800 239616 244192 246540 249600 252000 256000 262080 262976 264150 267085 268800 273000 274716 279552 281760 288000 291200 293500 295848 299520 300544 305240 308175 312000 320502 322560 327600 328720 332800 336000 338112 343395 349440 352200 358400 364000 366288 369810 374400 375680 381550 384000 394464 399360 403200 409500 410900 416000 419328 422640 427336 436800 440250 448000 450816 457860 460800 465920 468000 469600 480753 488384 493080 499200 504000 513625 524160 525952 528300 534170 537600 546000 549432 559104 563520 572325 576000 582400 587000 591696 599040 601088 610480 616350 624000 641004 645120 655200 657440 660375 665600 672000 676224 686790 698880 704400 728000 732576 739620 748800 751360 763100 768000 788928 801255 806400 819000 821800 832000 838656 845280 854672 873600 880500 896000 901632 915720 924525 931840 936000 939200 953875 961506 976768 986160 998400 1008000 1027250 1048320 1051904 1056600 1068340 1075200 1092000 1098864 1127040 1144650 1152000 1164800 1174000 1183392 1198080 1202176 1220960 1232700 1248000 1282008 1310400 1314880 1320750 1335425 1344000 1352448 1373580 1397760 1408800 1456000 1465152 1479240 1497600 1502720 1526200 1540875 1577856 1602510 1612800 1638000 1643600 1664000 1677312 1690560 1709344 1716975 1747200 1761000 1792000 1803264 1831440 1849050 1872000 1878400 1907750 1923012 1953536 1972320 1996800 2016000 2054500 2096640 2103808 2113200 2136680 2184000 2197728 2254080 2289300 2304000 2329600 2348000 2366784 2403765 2441920 2465400 2496000 2564016 2620800 2629760 2641500 2670850 2688000 2704896 2747160 2795520 2817600 2861625 2912000 2930304 2958480 2995200 3005440 3052400 3081750 3155712 3205020 3225600 3276000 3287200 3328000 3381120 3418688 3433950 3494400 3522000 3606528 3662880 3698100 3744000 3756800 3815500 3846024 3907072 3944640 4006275 4032000 4109000 4193280 4207616 4226400 4273360 4368000 4395456 4508160 4578600 4622625 4659200 4696000 4733568 4807530 4883840 4930800 4992000 5128032 5241600 5259520 5283000 5341700 5376000 5409792 5494320 5635200 5723250 5824000 5860608 5916960 5990400 6010880 6104800 6163500 6311424 6410040 6552000 6574400 6677125 6762240 6837376 6867900 6988800 7044000 7325760 7396200 7488000 7513600 7631000 7692048 7814144 7889280 8012550 8064000 8218000 8386560 8415232 8452800 8546720 8584875 8736000 8790912 9016320 9157200 9245250 9392000 9467136 9615060 9767680 9861600 9984000 10256064 10483200 10519040 10566000 10683400 10819584 10988640 11270400 11446500 11648000 11721216 11833920 12018825 12209600 12327000 12622848 12820080 13104000 13148800 13354250 13524480 13674752 13735800 13977600 14088000 14651520 14792400 14976000 15027200 15262000 15384096 15628288 15778560 16025100 16128000 16436000 16905600 17093440 17169750 17472000 17581824 18032640 18314400 18490500 18784000 18934272 19230120 19535360 19723200 20031375 20512128 20966400 21038080 21132000 21366800 21977280 22540800 22893000 23296000 23442432 23667840 24037650 24419200 24654000 25245696 25640160 26208000 26297600 26708500 27048960 27349504 27471600 28176000 29303040 29584800 29952000 30054400 30524000 30768192 31557120 32050200 32872000 33811200 34186880 34339500 34944000 35163648 36628800 36981000 37568000 37868544 38460240 39070720 39446400 40062750 41024256 41932800 42076160 42264000 42733600 43954560 45081600 45786000 46884864 47335680 48075300 48838400 49308000 51280320 52416000 52595200 53417000 54097920 54699008 54943200 56352000 58606080 59169600 60094125 61048000 61536384 63114240 64100400 65744000 67622400 68373760 68679000 69888000 70327296 73257600 73962000 75136000 75737088 76920480 78141440 78892800 80125500 82048512 84528000 85467200 87909120 90163200 91572000 94671360 96150600 97676800 98616000 102560640 104832000 105190400 106834000 109398016 109886400 112704000 117212160 118339200 120188250 122096000 123072768 126228480 128200800 131488000 135244800 136747520 137358000 140654592 146515200 147924000 150272000 153840960 157785600 160251000 164097024 169056000 170934400 175818240 183144000 189342720 192301200 195353600 197232000 205121280 209664000 210380800 213668000 219772800 225408000 234424320 236678400 240376500 244192000 246145536 256401600 262976000 270489600 273495040 274716000 293030400 295848000 307681920 315571200 320502000 328194048 338112000 341868800 351636480 366288000 378685440 384602400 390707200 394464000 410242560 427336000 439545600 450816000 473356800 480753000 488384000 492291072 512803200 525952000 546990080 549432000 586060800 591696000 615363840 631142400 641004000 676224000 683737600 703272960 732576000 769204800 788928000 820485120 854672000 879091200 946713600 961506000 976768000 984582144 1025606400 1051904000 1098864000 1172121600 1183392000 1230727680 1282008000 1352448000 1367475200 1465152000 1538409600 1577856000 1640970240 1709344000 1758182400 1893427200 1923012000 1953536000 2051212800 2197728000 2366784000 2461455360 2564016000 2734950400 2930304000 3076819200 3155712000 3418688000 3516364800 3846024000 4102425600 4395456000 4733568000 4922910720 5128032000 5860608000 6153638400 6837376000 7692048000 8204851200 8790912000 9467136000 10256064000 12307276800 13674752000 15384096000 17581824000 20512128000 24614553600 30768192000 41024256000 61536384000 123072768000
- Sum of all divisors σ(n): 546911688960
- Sum of proper divisors (its aliquot sum) s(n): 423838920960
- 123072768000 is an abundant number, because the sum of its proper divisors (423838920960) is greater than itself. Its abundance is 300766152960
Bases of 123072768000
- Binary: 11100101001111011010101101000000000002
- Hexadecimal: 0x1CA7B56800
- Base-36: 1KJECJK0
Squares and roots of 123072768000
- 123072768000 squared (1230727680002) is 15146906223181824000000
- 123072768000 cubed (1230727680003) is 1864171675523412846968832000000000
-
The
square root of 123072768000 is 350817.2857770837 -
The
cube root of 123072768000 is 4974.1703691373
Scales and comparisons
How big is 123072768000?- 123,072,768,000 seconds is equal to 3,913 years, 17 weeks, 2 days, 8 hours.
-
To count from 1 to 123,072,768,000 would take you about seven thousand, eight hundred twenty-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 123072768000 cubic inches would be around 414.5 feet tall.
Recreational maths with 123072768000
- 123072768000 backwards is 000867270321
- 123072768000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 123072768000'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 123072768000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
APA style:
Numbermatics. (2024). Number 123072768000 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/123072768000/
Chicago style:
Numbermatics. 2024. "Number 123072768000 - Facts about the integer". https://numbermatics.com/n/123072768000/
The information we have on file for 123072768000 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 123072768000, math, Factors of 123072768000, curriculum, school, college, exams, university, Prime factorization of 123072768000, STEM, science, technology, engineering, physics, economics, calculator, one hundred twenty-three billion, seventy-two million, seven hundred sixty-eight thousand.