10140938688000
10,140,938,688,000 is an even composite number composed of six prime numbers multiplied together.
10140938688000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 10140938688000:
29 × 3 × 53 × 372 × 41 × 941
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 37 × 37 × 41 × 941)See below for interesting mathematical facts about the number 10140938688000 from the Numbermatics database.
Names of 10140938688000
- Cardinal: 10140938688000 can be written as Ten trillion, one hundred forty billion, nine hundred thirty-eight million, six hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 1.0140938688 × 1013
Factors of 10140938688000
Divisors of 10140938688000
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 37 40 41 48 50 60 64 74 75 80 82 96 100 111 120 123 125 128 148 150 160 164 185 192 200 205 222 240 246 250 256 296 300 320 328 370 375 384 400 410 444 480 492 500 512 555 592 600 615 640 656 740 750 768 800 820 888 925 941 960 984 1000 1025 1110 1184 1200 1230 1280 1312 1369 1480 1500 1517 1536 1600 1640 1776 1850 1882 1920 1968 2000 2050 2220 2368 2400 2460 2560 2624 2738 2775 2823 2960 3000 3034 3075 3200 3280 3552 3700 3764 3840 3936 4000 4100 4107 4440 4551 4625 4705 4736 4800 4920 5125 5248 5476 5550 5646 5920 6000 6068 6150 6400 6560 6845 7104 7400 7528 7585 7680 7872 8000 8200 8214 8880 9102 9250 9410 9472 9600 9840 10250 10496 10952 11100 11292 11840 12000 12136 12300 12800 13120 13690 13875 14115 14208 14800 15056 15170 15375 15744 16000 16400 16428 17760 18204 18500 18820 18944 19200 19680 20500 20535 20992 21904 22200 22584 22755 23525 23680 24000 24272 24600 26240 27380 27750 28230 28416 29600 30112 30340 30750 31488 32000 32800 32856 34225 34817 35520 36408 37000 37640 37925 38400 38581 39360 41000 41070 43808 44400 45168 45510 47050 47360 48000 48544 49200 52480 54760 55500 56129 56460 56832 59200 60224 60680 61500 62976 64000 65600 65712 68450 69634 70575 71040 72816 74000 75280 75850 77162 78720 82000 82140 87616 88800 90336 91020 94100 94720 96000 97088 98400 102675 104451 104960 109520 111000 112258 112920 113775 115743 117625 118400 120448 121360 123000 131200 131424 136900 139268 141150 142080 145632 148000 150560 151700 154324 157440 164000 164280 168387 171125 174085 175232 177600 180672 182040 188200 189625 192000 192905 194176 196800 205350 208902 219040 222000 224516 225840 227550 231486 235250 236800 240896 242720 246000 262400 262848 273800 278536 280645 282300 284160 291264 296000 301120 303400 308648 314880 328000 328560 336774 342250 348170 350464 352875 355200 361344 364080 376400 379250 385810 388352 393600 410700 417804 438080 444000 449032 451680 455100 462972 470500 473600 481792 485440 492000 513375 522255 524800 525696 547600 557072 561290 564600 568875 578715 582528 592000 602240 606800 617296 656000 657120 673548 684500 696340 700928 705750 710400 722688 728160 752800 758500 771620 776704 787200 821400 835608 841935 870425 876160 888000 898064 903360 910200 925944 941000 964525 970880 984000 1026750 1044510 1051392 1095200 1114144 1122580 1129200 1137750 1157430 1165056 1184000 1204480 1213600 1234592 1288229 1312000 1314240 1347096 1369000 1392680 1403225 1411500 1420800 1427497 1445376 1456320 1505600 1517000 1543240 1574400 1642800 1671216 1683870 1740850 1752320 1776000 1796128 1806720 1820400 1851888 1882000 1929050 1941760 1968000 2053500 2089020 2102784 2190400 2228288 2245160 2258400 2275500 2314860 2330112 2368000 2408960 2427200 2469184 2576458 2611275 2624000 2628480 2694192 2738000 2785360 2806450 2823000 2854994 2893575 2912640 3011200 3034000 3086480 3285600 3342432 3367740 3481700 3504640 3552000 3592256 3613440 3640800 3703776 3764000 3858100 3864687 3883520 3936000 4107000 4178040 4209675 4282491 4352125 4380800 4456576 4490320 4516800 4551000 4629720 4822625 4854400 4938368 5152916 5222550 5256960 5388384 5476000 5570720 5612900 5646000 5709988 5787150 5825280 6022400 6068000 6172960 6441145 6571200 6684864 6735480 6963400 7016125 7104000 7137485 7184512 7226880 7281600 7407552 7528000 7716200 7729374 7872000 8214000 8356080 8419350 8564982 8704250 8761600 8913152 8980640 9033600 9102000 9259440 9645250 9708800 9876736 10305832 10445100 10513920 10776768 10952000 11141440 11225800 11292000 11419976 11574300 11650560 12044800 12136000 12345920 12882290 13056375 13142400 13369728 13470960 13926800 14032250 14274970 14369024 14467875 14563200 14815104 15056000 15432400 15458748 16428000 16712160 16838700 17129964 17408500 17523200 17826304 17961280 18067200 18204000 18518880 19290500 19323435 19417600 19753472 20611664 20890200 21048375 21412455 21553536 21904000 22282880 22451600 22584000 22839952 23148600 24272000 24691840 25764580 26112750 26284800 26739456 26941920 27853600 28064500 28549940 28738048 28935750 29126400 29630208 30112000 30864800 30917496 32205725 32856000 33424320 33677400 34259928 34817000 35687425 35922560 36134400 36408000 37037760 38581000 38646870 41223328 41780400 42096750 42824910 43107072 43808000 44565760 44903200 45168000 45679904 46297200 48544000 49383680 51529160 52225500 52569600 52817389 53478912 53883840 55707200 56129000 57099880 57871500 58252800 59260416 60224000 61729600 61834992 64411450 65712000 66848640 67354800 68519856 69634000 71374850 71845120 72816000 74075520 77162000 77293740 82446656 83560800 84193500 85649820 86214144 87616000 89131520 89806400 90336000 91359808 92594400 96617175 97088000 98767360 103058320 104451000 105634778 107062275 107767680 111414400 112258000 114199760 115743000 123459200 123669984 128822900 131424000 133697280 134709600 137039712 139268000 142749700 143690240 145632000 148151040 154324000 154587480 158452167 161028625 164893312 167121600 168387000 171299640 178437125 179612800 180672000 182719616 185188800 193234350 206116640 208902000 211269556 214124550 215535360 222828800 224516000 228399520 231486000 246918400 247339968 257645800 262848000 264086945 267394560 269419200 274079424 278536000 285499400 291264000 296302080 308648000 309174960 316904334 322057250 329786624 334243200 336774000 342599280 356874250 359225600 365439232 370377600 386468700 412233280 417804000 422539112 428249100 431070720 445657600 449032000 456799040 462972000 483085875 493836800 494679936 515291600 528173890 535311375 538838400 548158848 557072000 570998800 617296000 618349920 633808668 644114500 659573248 668486400 673548000 685198560 713748500 718451200 730878464 740755200 772937400 792260835 824466560 835608000 845078224 856498200 898064000 913598080 925944000 966171750 989359872 1030583200 1056347780 1070622750 1077676800 1096317696 1114144000 1141997600 1234592000 1236699840 1267617336 1288229000 1320434725 1336972800 1347096000 1370397120 1427497000 1481510400 1545874800 1584521670 1648933120 1671216000 1690156448 1712996400 1796128000 1827196160 1851888000 1932343500 1978719744 2061166400 2112695560 2141245500 2155353600 2192635392 2228288000 2283995200 2469184000 2473399680 2535234672 2576458000 2640869450 2694192000 2740794240 2854994000 3091749600 3169043340 3297866240 3342432000 3380312896 3425992800 3592256000 3654392320 3703776000 3864687000 3961304175 4122332800 4225391120 4282491000 4567990400 4946799360 5070469344 5152916000 5281738900 5388384000 5481588480 5709988000 6183499200 6338086680 6602173625 6684864000 6760625792 6851985600 7407552000 7729374000 7922608350 8244665600 8450782240 8564982000 9135980800 9893598720 10140938688 10305832000 10563477800 10776768000 10963176960 11419976000 12366998400 12676173360 13204347250 13521251584 13703971200 15458748000 15845216700 16489331200 16901564480 17129964000 18271961600 19806520875 20281877376 20611664000 21126955600 22839952000 24733996800 25352346720 26408694500 27042503168 27407942400 30917496000 31690433400 33803128960 34259928000 39613041750 40563754752 41223328000 42253911200 45679904000 49467993600 50704693440 52817389000 54815884800 61834992000 63380866800 67606257920 68519856000 79226083500 81127509504 82446656000 84507822400 91359808000 101409386880 105634778000 123669984000 126761733600 135212515840 137039712000 158452167000 169015644800 202818773760 211269556000 247339968000 253523467200 274079424000 316904334000 338031289600 405637547520 422539112000 507046934400 633808668000 676062579200 845078224000 1014093868800 1267617336000 1690156448000 2028187737600 2535234672000 3380312896000 5070469344000 10140938688000
- Sum of all divisors σ(n): 35534852248896
- Sum of proper divisors (its aliquot sum) s(n): 25393913560896
- 10140938688000 is an abundant number, because the sum of its proper divisors (25393913560896) is greater than itself. Its abundance is 15252974872896
Bases of 10140938688000
- Binary: 100100111001000111110000110001010110000000002
- Hexadecimal: 0x9391F0C5600
- Base-36: 3LEOL2ADC
Squares and roots of 10140938688000
- 10140938688000 squared (101409386880002) is 102838637473775161344000000
- 10140938688000 cubed (101409386880003) is 1042880317379013119086811676672000000000
-
The
square root of 10140938688000 is 3184484.0536576721 -
The
cube root of 10140938688000 is 21645.0894875401
Scales and comparisons
How big is 10140938688000?- 10,140,938,688,000 seconds is equal to 322,450 years, 25 weeks, 13 hours, 20 minutes.
-
To count from 1 to 10,140,938,688,000 would take you about eight hundred six thousand, one 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 10140938688000 cubic inches would be around 1803.8 feet tall.
Recreational maths with 10140938688000
- 10140938688000 backwards is 00088683904101
- 10140938688000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 10140938688000's digits is 48
- 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 10140938688000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
APA style:
Numbermatics. (2024). Number 10140938688000 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/10140938688000/
Chicago style:
Numbermatics. 2024. "Number 10140938688000 - Facts about the integer". https://numbermatics.com/n/10140938688000/
The information we have on file for 10140938688000 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 10140938688000, math, Factors of 10140938688000, curriculum, school, college, exams, university, Prime factorization of 10140938688000, STEM, science, technology, engineering, physics, economics, calculator, ten trillion, one hundred forty billion, nine hundred thirty-eight million, six hundred eighty-eight thousand.