107940134400
107,940,134,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 107940134400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
107940134400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 107940134400:
29 × 3 × 52 × 7 × 29 × 61 × 227
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 29 × 61 × 227)See below for interesting mathematical facts about the number 107940134400 from the Numbermatics database.
Names of 107940134400
- Cardinal: 107940134400 can be written as One hundred seven billion, nine hundred forty million, one hundred thirty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.079401344 × 1011
Factors of 107940134400
Divisors of 107940134400
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 29 30 32 35 40 42 48 50 56 58 60 61 64 70 75 80 84 87 96 100 105 112 116 120 122 128 140 145 150 160 168 174 175 183 192 200 203 210 224 227 232 240 244 256 280 290 300 305 320 336 348 350 366 384 400 406 420 427 435 448 454 464 480 488 512 525 560 580 600 609 610 640 672 681 696 700 725 732 768 800 812 840 854 870 896 908 915 928 960 976 1015 1050 1120 1135 1160 1200 1218 1220 1280 1281 1344 1362 1392 1400 1450 1464 1525 1536 1589 1600 1624 1680 1708 1740 1769 1792 1816 1830 1856 1920 1952 2030 2100 2135 2175 2240 2270 2320 2400 2436 2440 2560 2562 2688 2724 2784 2800 2900 2928 3045 3050 3178 3200 3248 3360 3405 3416 3480 3538 3584 3632 3660 3712 3840 3904 4060 4200 4270 4350 4480 4540 4575 4640 4767 4800 4872 4880 5075 5124 5307 5376 5448 5568 5600 5675 5800 5856 6090 6100 6356 6400 6405 6496 6583 6720 6810 6832 6960 7076 7264 7320 7424 7680 7808 7945 8120 8400 8540 8700 8845 8960 9080 9150 9280 9534 9600 9744 9760 10150 10248 10614 10675 10752 10896 11136 11200 11350 11600 11712 12180 12200 12383 12712 12800 12810 12992 13166 13440 13620 13664 13847 13920 14152 14528 14640 14848 15225 15616 15890 16240 16800 17025 17080 17400 17690 17920 18160 18300 18560 19068 19200 19488 19520 19749 20300 20496 21228 21350 21792 22272 22400 22700 23200 23424 23835 24360 24400 24766 25424 25620 25984 26332 26535 26880 27240 27328 27694 27840 28304 29056 29280 30450 31232 31780 32025 32480 32915 33600 34050 34160 34800 35380 36320 36600 37120 37149 38136 38400 38976 39040 39498 39725 40600 40992 41541 42456 42700 43584 44225 44544 44800 45400 46081 46400 46848 47670 48720 48800 49532 50848 51240 51968 52664 53070 53760 54480 54656 55388 55680 56608 58112 58560 60900 61915 63560 64050 64960 65830 67200 68100 68320 69235 69600 70760 72640 73200 74240 74298 76272 77952 78080 78996 79450 81200 81984 83082 84912 85400 87168 88450 89600 90800 92162 92800 93696 95340 96929 97440 97600 98745 99064 101696 102480 103936 105328 106140 108960 109312 110776 111360 113216 116224 117120 119175 121800 123830 127120 128100 129920 131660 132675 134400 136200 136640 138243 138470 139200 141520 145280 146400 148596 152544 155904 156160 157992 158900 162400 163968 164575 166164 169824 170800 174336 176900 181600 184324 185600 185745 190680 193858 194880 195200 197490 198128 203392 204960 207705 210656 212280 217920 218624 221552 222720 226432 230405 234240 238350 243600 247660 254240 256200 259840 263320 265350 268800 272400 273280 276486 276940 278400 283040 290560 290787 292800 297192 305088 309575 311808 315984 317800 324800 327936 329150 332328 339648 341600 346175 348672 353800 363200 368648 371200 371490 381360 387716 389760 390400 394980 396256 401563 406784 409920 415410 421312 424560 435840 443104 452864 460810 468480 476700 484645 487200 493725 495320 508480 512400 519680 526640 530700 544800 546560 552972 553880 556800 566080 581120 581574 585600 594384 610176 619150 631968 635600 649600 655872 658300 664656 679296 683200 691215 692350 707600 726400 737296 742980 762720 775432 779520 780800 789960 792512 803126 813568 819840 830820 842624 849120 871680 886208 905728 921620 928725 953400 969290 974400 987450 990640 1016960 1024800 1038525 1053280 1061400 1089600 1093120 1105944 1107760 1113600 1132160 1152025 1163148 1171200 1188768 1204689 1220352 1238300 1263936 1271200 1299200 1316600 1329312 1358592 1366400 1382430 1384700 1415200 1452800 1453935 1474592 1485960 1525440 1550864 1559040 1579920 1585024 1606252 1639680 1661640 1685248 1698240 1743360 1772416 1843240 1857450 1906800 1938580 1948800 1974900 1981280 2007815 2033920 2049600 2077050 2106560 2122800 2179200 2211888 2215520 2264320 2304050 2326296 2342400 2377536 2409378 2423225 2440704 2476600 2527872 2542400 2598400 2633200 2658624 2717184 2732800 2764860 2769400 2810941 2830400 2905600 2907870 2949184 2971920 3050880 3101728 3159840 3170048 3212504 3279360 3323280 3370496 3396480 3456075 3544832 3686480 3714900 3813600 3877160 3897600 3949800 3962560 4015630 4067840 4099200 4154100 4213120 4245600 4358400 4423776 4431040 4528640 4608100 4652592 4755072 4818756 4846450 4953200 5055744 5084800 5266400 5317248 5465600 5529720 5538800 5621882 5660800 5815740 5898368 5943840 6023445 6101760 6203456 6319680 6340096 6425008 6646560 6792960 6912150 7089664 7269675 7372960 7429800 7627200 7754320 7795200 7899600 7925120 8031260 8198400 8308200 8426240 8432823 8491200 8716800 8847552 8862080 9216200 9305184 9510144 9637512 9692900 9906400 10039075 10111488 10169600 10532800 10634496 11059440 11077600 11243764 11321600 11631480 11796736 11887680 12046890 12203520 12406912 12639360 12850016 13293120 13585920 13824300 14054705 14539350 14745920 14859600 15254400 15508640 15799200 15850240 16062520 16396800 16616400 16852480 16865646 16982400 17695104 17724160 18432400 18610368 19020288 19275024 19385800 19812800 20078150 20339200 21065600 21268992 22118880 22155200 22487528 22643200 23262960 23593472 23775360 24093780 24813824 25278720 25700032 26586240 27648600 28109410 29078700 29491840 29719200 30117225 30508800 31017280 31598400 31700480 32125040 33232800 33731292 33964800 35390208 35448320 36864800 37220736 38550048 38771600 39625600 40156300 42131200 42164115 44237760 44310400 44975056 46525920 47550720 48187560 49627648 50557440 51400064 53172480 55297200 56218820 58157400 58983680 59438400 60234450 61017600 62034560 63196800 64250080 66465600 67462584 67929600 70273525 70780416 73729600 74441472 77100096 77543200 79251200 80312600 84262400 84328230 88475520 88620800 89950112 93051840 95101440 96375120 102800128 106344960 110594400 112437640 116314800 117967360 118876800 120468900 124069120 126393600 128500160 132931200 134925168 140547050 147459200 148882944 154200192 155086400 158502400 160625200 168656460 176951040 177241600 179900224 186103680 192750240 205600256 210820575 221188800 224875280 232629600 237753600 240937800 248138240 252787200 257000320 265862400 269850336 281094100 294918400 308400384 310172800 321250400 337312920 353902080 359800448 372207360 385500480 421641150 442377600 449750560 465259200 475507200 481875600 514000640 531724800 539700672 562188200 589836800 616800768 620345600 642500800 674625840 719600896 744414720 771000960 843282300 884755200 899501120 930518400 963751200 1028001280 1079401344 1124376400 1240691200 1285001600 1349251680 1439201792 1542001920 1686564600 1769510400 1799002240 1861036800 1927502400 2158802688 2248752800 2570003200 2698503360 3084003840 3373129200 3598004480 3722073600 3855004800 4317605376 4497505600 5140006400 5397006720 6746258400 7196008960 7710009600 8995011200 10794013440 13492516800 15420019200 17990022400 21588026880 26985033600 35980044800 53970067200 107940134400
- Sum of all divisors σ(n): 430363169280
- Sum of proper divisors (its aliquot sum) s(n): 322423034880
- 107940134400 is an abundant number, because the sum of its proper divisors (322423034880) is greater than itself. Its abundance is 214482900480
Bases of 107940134400
- Binary: 11001001000011011101110111110000000002
- Hexadecimal: 0x1921BBBE00
- Base-36: 1DL4ROQO
Squares and roots of 107940134400
- 107940134400 squared (1079401344002) is 11651072614290063360000
- 107940134400 cubed (1079401344003) is 1257618343890628799662915584000000
-
The
square root of 107940134400 is 328542.4392677451 -
The
cube root of 107940134400 is 4761.3230792315
Scales and comparisons
How big is 107940134400?- 107,940,134,400 seconds is equal to 3,432 years, 8 weeks, 3 days, 2 hours, 40 minutes.
-
To count from 1 to 107,940,134,400 would take you about six thousand, eight hundred sixty-four 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 107940134400 cubic inches would be around 396.8 feet tall.
Recreational maths with 107940134400
- 107940134400 backwards is 004431049701
- The number of decimal digits it has is: 12
- The sum of 107940134400's digits is 33
- 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 107940134400 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 107940134400 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/107940134400/
Chicago style:
Numbermatics. 2024. "Number 107940134400 - Facts about the integer". https://numbermatics.com/n/107940134400/
The information we have on file for 107940134400 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 107940134400, math, Factors of 107940134400, curriculum, school, college, exams, university, Prime factorization of 107940134400, STEM, science, technology, engineering, physics, economics, calculator, one hundred seven billion, nine hundred forty million, one hundred thirty-four thousand, four hundred.