106142859200
106,142,859,200 is an even composite number composed of six prime numbers multiplied together.
106142859200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 106142859200:
26 × 52 × 73 × 17 × 31 × 367
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 17 × 31 × 367)See below for interesting mathematical facts about the number 106142859200 from the Numbermatics database.
Names of 106142859200
- Cardinal: 106142859200 can be written as One hundred six billion, one hundred forty-two million, eight hundred fifty-nine thousand, two hundred.
Scientific notation
- Scientific notation: 1.061428592 × 1011
Factors of 106142859200
Divisors of 106142859200
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 31 32 34 35 40 49 50 56 62 64 68 70 80 85 98 100 112 119 124 136 140 155 160 170 175 196 200 217 224 238 245 248 272 280 310 320 340 343 350 367 392 400 425 434 448 476 490 496 527 544 560 595 620 680 686 700 734 775 784 800 833 850 868 952 980 992 1054 1085 1088 1120 1190 1225 1240 1360 1372 1400 1468 1519 1550 1568 1600 1666 1700 1715 1736 1835 1904 1960 1984 2108 2170 2240 2380 2450 2480 2569 2635 2720 2744 2800 2936 2975 3038 3100 3136 3332 3400 3430 3472 3670 3689 3808 3920 4165 4216 4340 4760 4900 4960 5138 5270 5425 5440 5488 5600 5831 5872 5950 6076 6200 6239 6664 6800 6860 6944 7340 7378 7595 7616 7840 8330 8432 8575 8680 9175 9520 9800 9920 10276 10540 10633 10850 10976 11200 11377 11662 11744 11900 12152 12400 12478 12845 13175 13328 13600 13720 13888 14680 14756 15190 15680 16660 16864 17150 17360 17983 18350 18445 19040 19600 20552 20825 21080 21266 21700 21952 22754 23324 23488 23800 24304 24800 24956 25690 25823 26350 26656 27200 27440 29155 29360 29512 30380 31195 33320 33728 34300 34720 35966 36700 36890 37975 38080 39200 41104 41650 42160 42532 43400 43673 45508 46648 47600 48608 49600 49912 51380 51646 52700 53165 53312 54880 56885 58310 58720 59024 60760 62390 64225 66640 68600 69440 71932 73400 73780 75950 78400 79639 82208 83300 84320 85064 86800 87346 89915 91016 92225 93296 95200 97216 99824 102760 103292 105400 106330 109760 113770 116620 117440 118048 121520 124780 125881 128450 129115 133280 137200 143864 145775 146800 147560 151900 155975 159278 164416 166600 168640 170128 173600 174692 179830 180761 182032 184450 186592 190400 193409 199648 205520 206584 210800 212660 218365 227540 233240 236096 243040 249560 251762 256900 258230 265825 266560 274400 284425 287728 291550 293600 295120 303800 305711 311950 318556 333200 340256 347200 349384 359660 361522 364064 368900 373184 386818 398195 399296 411040 413168 421600 425320 436730 449575 455080 466480 486080 499120 503524 513800 516460 531650 548800 557473 568850 575456 583100 587200 590240 607600 611422 623900 629405 637112 645575 666400 680512 698768 719320 723044 728128 737800 773636 796390 822080 826336 843200 850640 873460 899150 903805 910160 932960 967045 998240 1007048 1027600 1032920 1063300 1091825 1114946 1137700 1150912 1166200 1180480 1215200 1222844 1247800 1258810 1274224 1291150 1332800 1353863 1397536 1438640 1446088 1475600 1528555 1547272 1592780 1652672 1701280 1746920 1798300 1807610 1820320 1865920 1934090 1990975 1996480 2014096 2055200 2065840 2126600 2139977 2183650 2229892 2275400 2332400 2430400 2445688 2495600 2517620 2548448 2582300 2707726 2787365 2795072 2877280 2892176 2951200 3057110 3094544 3147025 3185560 3402560 3493840 3596600 3615220 3640640 3868180 3902311 3981950 4028192 4110400 4131680 4253200 4279954 4367300 4459784 4519025 4550800 4664800 4835225 4891376 4991200 5035240 5096896 5164600 5415452 5574730 5754560 5784352 5902400 6114220 6189088 6294050 6371120 6769315 6987680 7193200 7230440 7642775 7736360 7804622 7963900 8056384 8263360 8506400 8559908 8734600 8919568 9038050 9101600 9329600 9477041 9670450 9782752 9982400 10070480 10329200 10699885 10830904 11149460 11568704 12228440 12378176 12588100 12742240 13538630 13936825 13975360 14386400 14460880 15285550 15472720 15609244 15927800 17012800 17119816 17469200 17839136 18076100 18203200 18954082 19340900 19511555 19565504 20140960 20658400 21399770 21661808 22298920 24456880 25176200 25484480 27077260 27873650 28772800 28921760 30571100 30945440 31218488 31855600 33846575 34239632 34938400 35678272 36152200 37908164 38681800 39023110 40281920 41316800 42799540 43323616 44597840 47385205 48913760 50352400 53499425 54154520 55747300 57843520 61142200 61890880 62436976 63711200 66339287 67693150 68479264 69876800 72304400 75816328 77363600 78046220 85599080 86647232 89195680 94770410 97557775 97827520 100704800 106998850 108309040 111494600 122284400 124873952 127422400 132678574 135386300 136958528 144608800 151632656 154727200 156092440 171198160 178391360 189540820 195115550 201409600 213997700 216618080 222989200 236926025 244568800 249747904 265357148 270772600 289217600 303265312 309454400 312184880 331696435 342396320 379081640 390231100 427995400 433236160 445978400 473852050 489137600 530714296 541545200 606530624 624369760 663392870 684792640 758163280 780462200 855990800 891956800 947704100 1061428592 1083090400 1248739520 1326785740 1516326560 1560924400 1658482175 1711981600 1895408200 2122857184 2166180800 2653571480 3032653120 3121848800 3316964350 3423963200 3790816400 4245714368 5307142960 6243697600 6633928700 7581632800 10614285920 13267857400 15163265600 21228571840 26535714800 53071429600 106142859200
- Sum of all divisors σ(n): 333807206400
- Sum of proper divisors (its aliquot sum) s(n): 227664347200
- 106142859200 is an abundant number, because the sum of its proper divisors (227664347200) is greater than itself. Its abundance is 121521488000
Bases of 106142859200
- Binary: 11000101101101001101101111111110000002
- Hexadecimal: 0x18B69B7FC0
- Base-36: 1CREPUBK
Squares and roots of 106142859200
- 106142859200 squared (1061428592002) is 11266306559151024640000
- 106142859200 cubed (1061428592003) is 1195837990812003679899250688000000
-
The
square root of 106142859200 is 325795.7323231843 -
The
cube root of 106142859200 is 4734.7486336179
Scales and comparisons
How big is 106142859200?- 106,142,859,200 seconds is equal to 3,375 years, 5 days, 7 hours, 33 minutes, 20 seconds.
-
To count from 1 to 106,142,859,200 would take you about six thousand, seven hundred fifty 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 106142859200 cubic inches would be around 394.6 feet tall.
Recreational maths with 106142859200
- 106142859200 backwards is 002958241601
- The number of decimal digits it has is: 12
- The sum of 106142859200's digits is 38
- 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 106142859200 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
APA style:
Numbermatics. (2024). Number 106142859200 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/106142859200/
Chicago style:
Numbermatics. 2024. "Number 106142859200 - Facts about the integer". https://numbermatics.com/n/106142859200/
The information we have on file for 106142859200 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 106142859200, math, Factors of 106142859200, curriculum, school, college, exams, university, Prime factorization of 106142859200, STEM, science, technology, engineering, physics, economics, calculator, one hundred six billion, one hundred forty-two million, eight hundred fifty-nine thousand, two hundred.