106008884838400
106,008,884,838,400 is an even composite number composed of five prime numbers multiplied together.
106008884838400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 106008884838400:
215 × 52 × 17 × 312 × 892
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 17 × 31 × 31 × 89 × 89)See below for interesting mathematical facts about the number 106008884838400 from the Numbermatics database.
Names of 106008884838400
- Cardinal: 106008884838400 can be written as One hundred six trillion, eight billion, eight hundred eighty-four million, eight hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.060088848384 × 1014
Factors of 106008884838400
Divisors of 106008884838400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 31 32 34 40 50 62 64 68 80 85 89 100 124 128 136 155 160 170 178 200 248 256 272 310 320 340 356 400 425 445 496 512 527 544 620 640 680 712 775 800 850 890 961 992 1024 1054 1088 1240 1280 1360 1424 1513 1550 1600 1700 1780 1922 1984 2048 2108 2176 2225 2480 2560 2635 2720 2759 2848 3026 3100 3200 3400 3560 3844 3968 4096 4216 4352 4450 4805 4960 5120 5270 5440 5518 5696 6052 6200 6400 6800 7120 7565 7688 7921 7936 8192 8432 8704 8900 9610 9920 10240 10540 10880 11036 11392 12104 12400 12800 13175 13600 13795 14240 15130 15376 15842 15872 16337 16384 16864 17408 17800 19220 19840 20480 21080 21760 22072 22784 24025 24208 24800 25600 26350 27200 27590 28480 30260 30752 31684 31744 32674 32768 33728 34816 35600 37825 38440 39605 39680 40960 42160 43520 44144 45568 46903 48050 48416 49600 51200 52700 54400 55180 56960 60520 61504 63368 63488 65348 67456 68975 69632 71200 75650 76880 79210 79360 81685 81920 84320 85529 87040 88288 91136 93806 96100 96832 99200 102400 105400 108800 110360 113920 121040 123008 126736 126976 130696 134657 134912 137950 139264 142400 151300 153760 158420 158720 163370 163840 168640 171058 174080 176576 182272 187612 192200 193664 198025 198400 204800 210800 217600 220720 227840 234515 242080 245551 246016 253472 253952 261392 269314 269824 275900 278528 284800 302600 307520 316840 317440 326740 337280 342116 348160 353152 364544 375224 384400 387328 396050 396800 408425 409600 421600 427645 435200 441440 455680 469030 484160 491102 492032 506944 507904 522784 538628 539648 551800 557056 569600 605200 615040 633680 634880 653480 673285 674560 684232 696320 706304 729088 750448 768800 774656 792100 793600 816850 819200 843200 855290 870400 882880 911360 938060 968320 982204 984064 1013888 1015808 1045568 1077256 1079296 1103600 1139200 1172575 1210400 1227755 1230080 1267360 1269760 1306960 1346570 1349120 1368464 1392640 1412608 1453993 1458176 1500896 1537600 1549312 1584200 1587200 1633700 1686400 1710580 1740800 1765760 1822720 1876120 1936640 1964408 1968128 2027776 2091136 2138225 2154512 2158592 2207200 2278400 2345150 2420800 2455510 2460160 2534720 2539520 2613920 2693140 2698240 2736928 2785280 2825216 2907986 2916352 3001792 3075200 3098624 3168400 3174400 3267400 3366425 3372800 3421160 3481600 3531520 3645440 3752240 3873280 3928816 3936256 4055552 4174367 4182272 4276450 4309024 4317184 4414400 4556800 4690300 4841600 4911020 4920320 5069440 5079040 5227840 5386280 5396480 5473856 5650432 5815972 6003584 6138775 6150400 6197248 6336800 6348800 6534800 6732850 6745600 6842320 6963200 7063040 7269965 7290880 7504480 7612081 7746560 7857632 7872512 8111104 8348734 8364544 8552900 8618048 8634368 8828800 9113600 9380600 9683200 9822040 9840640 10138880 10455680 10772560 10792960 10947712 11300864 11631944 12007168 12277550 12300800 12394496 12673600 12697600 13069600 13465700 13491200 13684640 13926400 14126080 14539930 14581760 15008960 15224162 15493120 15715264 15745024 16222208 16697468 16729088 17105800 17236096 17268736 17657600 18227200 18761200 19366400 19644080 19681280 20277760 20871835 20911360 21545120 21585920 21895424 22601728 23263888 24014336 24555100 24601600 24788992 25347200 25395200 26139200 26931400 26982400 27369280 28252160 29079860 30017920 30448324 30986240 31430528 31490048 32444416 33394936 33458176 34211600 34472192 35315200 36349825 36454400 37522400 38060405 38732800 39288160 39362560 40555520 41743670 41822720 43090240 43171840 43790848 45203456 46527776 48028672 49110200 49203200 49577984 50694400 52278400 53862800 53964800 54738560 56504320 58159720 60035840 60896648 61972480 62861056 64888832 66789872 66916352 68423200 68944384 70630400 72699650 72908800 75044800 76120810 77465600 78576320 78725120 81111040 83487340 83645440 86180480 86343680 87581696 90406912 93055552 96057344 98220400 98406400 101388800 104359175 104556800 107725600 107929600 109477120 113008640 116319440 120071680 121793296 123944960 125722112 129405377 129777664 133579744 133832704 136846400 137888768 141260800 145399300 150089600 152241620 154931200 157152640 157450240 162222080 166974680 167290880 172360960 175163392 186111104 190302025 192114688 196440800 196812800 202777600 208718350 209113600 215451200 215859200 218954240 226017280 232638880 240143360 243586592 247889920 251444224 258810754 259555328 267159488 267665408 273692800 275777536 282521600 290798600 300179200 304483240 309862400 314305280 324444160 333949360 334581760 344721920 350326784 372222208 380604050 384229376 392881600 393625600 405555200 417436700 418227200 430902400 431718400 437908480 452034560 465277760 480286720 487173184 502888448 517621508 534318976 535330816 547385600 551555072 565043200 581597200 600358400 608966480 619724800 628610560 647026885 648888320 667898720 669163520 689443840 700653568 744444416 761208100 768458752 785763200 787251200 811110400 834873400 836454400 861804800 875816960 930555520 960573440 974346368 1005776896 1035243016 1068637952 1094771200 1103110144 1130086400 1163194400 1200716800 1217932960 1239449600 1257221120 1294053770 1297776640 1335797440 1338327040 1378887680 1401307136 1488888832 1522416200 1536917504 1571526400 1622220800 1669746800 1672908800 1723609600 1751633920 1861111040 1921146880 1948692736 2011553792 2070486032 2137275904 2189542400 2206220288 2260172800 2326388800 2401433600 2435865920 2514442240 2588107540 2671594880 2676654080 2757775360 2802614272 2977777664 3044832400 3143052800 3235134425 3244441600 3339493600 3345817600 3447219200 3503267840 3722222080 3842293760 3897385472 4023107584 4140972064 4274551808 4379084800 4412440576 4652777600 4802867200 4871731840 5028884480 5176215080 5343189760 5515550720 5955555328 6089664800 6286105600 6470268850 6488883200 6678987200 6691635200 6894438400 7006535680 7444444160 7684587520 7794770944 8046215168 8281944128 8549103616 8758169600 9305555200 9605734400 9743463680 10057768960 10352430160 10686379520 11031101440 11911110656 12179329600 12572211200 12940537700 13357974400 13383270400 13788876800 14013071360 14888888320 15589541888 16563888256 17098207232 17516339200 18611110400 19211468800 19486927360 20115537920 20704860320 21372759040 22062202880 23822221312 24358659200 25144422400 25881075400 26715948800 27577753600 29777776640 31179083776 33127776512 34196414464 35032678400 37222220800 38422937600 38973854720 40231075840 41409720640 42745518080 47644442624 48717318400 50288844800 51762150800 53431897600 55155507200 59555553280 62358167552 66255553024 68392828928 70065356800 74444441600 77947709440 82819441280 85491036160 97434636800 100577689600 103524301600 106863795200 110311014400 119111106560 124716335104 132511106048 136785657856 148888883200 155895418880 165638882560 170982072320 194869273600 201155379200 207048603200 213727590400 238222213120 249432670208 265022212096 297777766400 311790837760 331277765120 341964144640 389738547200 414097206400 427455180800 530044424192 595555532800 623581675520 662555530240 683928289280 779477094400 828194412800 854910361600 1060088848384 1191111065600 1247163351040 1325111060480 1558954188800 1656388825600 1709820723200 2120177696768 2650222120960 3117908377600 3312777651200 3419641446400 4240355393536 5300444241920 6235816755200 6625555302400 10600888483840 13251110604800 21201776967680 26502221209600 53004442419200 106008884838400
- Sum of all divisors σ(n): 290899840373190
- Sum of proper divisors (its aliquot sum) s(n): 184890955534790
- 106008884838400 is an abundant number, because the sum of its proper divisors (184890955534790) is greater than itself. Its abundance is 78882070696390
Bases of 106008884838400
- Binary: 110000001101010000111011110110010000000000000002
- Hexadecimal: 0x606A1DEC8000
- Base-36: 11KRT4YPZ4
Squares and roots of 106008884838400
- 106008884838400 squared (1060088848384002) is 11237883664681153394114560000
- 106008884838400 cubed (1060088848384003) is 1191315515236520951611575679376687104000000
-
The
square root of 106008884838400 is 10296061.6178420377 -
The
cube root of 106008884838400 is 47327.5571575505
Scales and comparisons
How big is 106008884838400?- 106,008,884,838,400 seconds is equal to 3,370,754 years, 32 weeks, 5 days, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 106,008,884,838,400 would take you about eight million, four hundred twenty-six thousand, eight hundred eighty-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 106008884838400 cubic inches would be around 3944 feet tall.
Recreational maths with 106008884838400
- 106008884838400 backwards is 004838488800601
- The number of decimal digits it has is: 15
- The sum of 106008884838400's digits is 58
- 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 106008884838400 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
APA style:
Numbermatics. (2024). Number 106008884838400 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/106008884838400/
Chicago style:
Numbermatics. 2024. "Number 106008884838400 - Facts about the integer". https://numbermatics.com/n/106008884838400/
The information we have on file for 106008884838400 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 106008884838400, math, Factors of 106008884838400, curriculum, school, college, exams, university, Prime factorization of 106008884838400, STEM, science, technology, engineering, physics, economics, calculator, one hundred six trillion, eight billion, eight hundred eighty-four million, eight hundred thirty-eight thousand, four hundred.