768142939200
768,142,939,200 is an even composite number composed of eight prime numbers multiplied together.
768142939200 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 768142939200:
26 × 3 × 52 × 7 × 13 × 61 × 127 × 227
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 13 × 61 × 127 × 227)See below for interesting mathematical facts about the number 768142939200 from the Numbermatics database.
Names of 768142939200
- Cardinal: 768142939200 can be written as Seven hundred sixty-eight billion, one hundred forty-two million, nine hundred thirty-nine thousand, two hundred.
Scientific notation
- Scientific notation: 7.681429392 × 1011
Factors of 768142939200
Divisors of 768142939200
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 50 52 56 60 61 64 65 70 75 78 80 84 91 96 100 104 105 112 120 122 127 130 140 150 156 160 168 175 182 183 192 195 200 208 210 224 227 240 244 254 260 273 280 300 305 312 320 325 336 350 364 366 381 390 400 416 420 427 448 454 455 480 488 508 520 525 546 560 600 610 624 635 650 672 681 700 728 732 762 780 793 800 832 840 854 889 908 910 915 960 975 976 1016 1040 1050 1092 1120 1135 1200 1220 1248 1270 1281 1300 1344 1362 1365 1400 1456 1464 1524 1525 1560 1586 1589 1600 1651 1680 1708 1778 1816 1820 1830 1905 1950 1952 2032 2080 2100 2135 2184 2240 2270 2275 2379 2400 2440 2496 2540 2562 2600 2667 2724 2730 2800 2912 2928 2951 3048 3050 3120 3172 3175 3178 3302 3360 3405 3416 3556 3632 3640 3660 3810 3900 3904 3965 4064 4160 4200 4270 4368 4445 4540 4550 4575 4758 4767 4800 4880 4953 5080 5124 5200 5334 5448 5460 5551 5600 5675 5824 5856 5902 6096 6100 6240 6344 6350 6356 6405 6604 6720 6810 6825 6832 7112 7264 7280 7320 7620 7747 7800 7930 7945 8128 8255 8400 8540 8736 8853 8890 9080 9100 9150 9516 9525 9534 9760 9906 10160 10248 10400 10668 10675 10896 10920 11102 11200 11350 11557 11712 11804 11895 12192 12200 12480 12688 12700 12712 12810 13208 13335 13620 13650 13664 13847 14224 14528 14560 14640 14755 15240 15494 15600 15860 15890 16510 16653 16800 17025 17080 17472 17706 17780 18160 18200 18300 19032 19050 19068 19520 19812 19825 20320 20496 20657 20800 21336 21350 21792 21840 22204 22225 22700 23114 23241 23608 23790 23835 24384 24400 24765 25376 25400 25424 25620 26416 26670 27240 27300 27328 27694 27755 28448 28829 29120 29280 29510 30480 30988 31200 31720 31780 32025 33020 33306 33600 34050 34160 34671 35412 35560 36320 36400 36600 38064 38100 38136 38735 39624 39650 39725 40640 40992 41275 41314 41541 42672 42700 43584 43680 44265 44408 44450 45400 46228 46482 47216 47580 47670 48800 49530 50752 50800 50848 51240 52832 53340 54229 54480 54600 55388 55510 56896 57658 57785 58560 59020 59475 60960 61971 61976 62400 63440 63560 64050 66040 66612 66675 68100 68320 69235 69342 70824 71120 72640 72800 73200 73775 76128 76200 76272 77470 79248 79300 79450 81984 82550 82628 83082 83265 85344 85400 86487 87360 88530 88816 88900 90800 92456 92964 94432 95160 95340 96929 97600 99060 100711 101600 101696 102480 103285 105664 106680 108458 108960 109200 110776 111020 115316 115570 116205 118040 118950 119175 121920 123825 123942 123952 126880 127120 128100 132080 133224 133350 136200 136640 138470 138684 138775 141648 142240 144145 145600 146400 147550 152256 152400 152544 154940 158496 158600 158900 162687 165100 165256 166164 166530 170688 170800 172974 173355 177060 177632 177800 180011 181600 184912 185928 188864 190320 190680 193675 193858 198120 201422 201803 203200 204960 206570 207705 213360 216916 217920 218400 221325 221552 222040 230632 231140 232410 236080 237900 238350 247650 247884 247904 253760 254240 256200 264160 266448 266700 271145 272400 276940 277368 277550 283296 284480 288290 288925 290787 292800 295100 302133 304800 305088 309855 309880 316992 317200 317800 325374 330200 330512 332328 333060 341600 345948 346175 346710 354120 355264 355600 360022 363200 369824 371856 374777 380640 381360 387350 387716 396240 402844 403606 409920 413140 415410 416325 426720 432435 433832 436800 442650 443104 444080 461264 462280 464820 472160 475800 476700 484645 495300 495768 495808 503555 508480 512400 516425 528320 532896 533400 540033 542290 544800 553880 554736 555100 566592 576580 577850 581025 581574 590200 604266 605409 609600 619710 619760 634400 635600 650748 660400 661024 664656 666120 683200 691896 692350 693420 704977 708240 711200 720044 720725 739648 743712 749554 761280 762720 774700 775432 792480 805688 807212 813435 826280 830820 832650 853440 864870 866775 867664 885300 886208 888160 900055 922528 924560 929640 944320 951600 953400 969290 990600 991536 1007110 1009015 1024800 1032850 1038525 1065792 1066800 1080066 1084580 1089600 1107760 1109472 1110200 1124331 1153160 1155700 1162050 1163148 1180400 1208532 1210818 1239420 1239520 1260077 1268800 1271200 1301496 1320800 1322048 1329312 1332240 1355725 1383792 1384700 1386840 1409954 1416480 1422400 1440088 1441450 1453935 1487424 1499108 1510665 1525440 1549275 1549400 1550864 1584960 1611376 1614424 1626870 1652560 1661640 1665300 1729740 1733550 1735328 1758569 1770600 1776320 1800110 1845056 1849120 1859280 1873885 1903200 1906800 1938580 1981200 1983072 2014220 2018030 2049600 2065700 2077050 2114931 2133600 2160132 2162175 2169160 2215520 2218944 2220400 2248662 2306320 2311400 2324100 2326296 2360800 2417064 2421636 2423225 2478840 2479040 2517775 2520154 2542400 2602992 2623439 2641600 2658624 2664480 2700165 2711450 2767584 2769400 2773680 2819908 2832960 2880176 2882900 2907870 2998216 3021330 3027045 3098550 3098800 3101728 3222752 3228848 3253740 3305120 3323280 3330600 3459480 3467100 3470656 3517138 3524885 3541200 3600220 3698240 3718560 3747770 3780231 3806400 3813600 3877160 3962400 3966144 4028440 4036060 4067175 4131400 4154100 4229862 4267200 4320264 4324350 4338320 4431040 4440800 4497324 4500275 4612640 4622800 4648200 4652592 4721600 4834128 4843272 4846450 4957680 5035550 5040308 5045075 5205984 5246878 5275707 5328960 5400330 5422900 5535168 5538800 5547360 5621655 5639816 5760352 5765800 5815740 5996432 6042660 6054090 6197100 6197600 6203456 6300385 6445504 6457696 6507480 6610240 6646560 6661200 6918960 6934200 7034276 7049770 7082400 7200440 7269675 7437120 7495540 7553325 7560462 7627200 7754320 7870317 7924800 8056880 8072120 8134350 8262800 8308200 8459724 8640528 8648700 8676640 8792845 8881600 8994648 9000550 9225280 9245600 9296400 9305184 9369425 9668256 9686544 9692900 9915360 10071100 10080616 10090150 10411968 10493756 10551414 10574655 10800660 10845800 11077600 11094720 11243310 11279632 11520704 11531600 11631480 11992864 12085320 12108180 12309983 12394200 12395200 12600770 12915392 13014960 13117195 13293120 13322400 13500825 13837920 13868400 14068552 14099540 14164800 14400880 14539350 14991080 15106650 15120924 15135225 15508640 15740634 16113760 16144240 16268700 16525600 16616400 16919448 17281056 17297400 17353280 17585690 17624425 17989296 18001100 18491200 18592800 18610368 18738850 18901155 19336512 19373088 19385800 19830720 20142200 20161232 20180300 20987512 21102828 21149310 21601320 21691600 22155200 22486620 22559264 22861397 23063200 23262960 23985728 24170640 24216360 24619966 24788400 25201540 26029920 26234390 26378535 26644800 27001650 27675840 27736800 28108275 28137104 28199080 28801760 29078700 29982160 30213300 30241848 30270450 31017280 31481268 31501925 32227520 32288480 32537400 33051200 33232800 33838896 34562112 34594800 35171380 35248850 35978592 36002200 36929949 37185600 37477700 37802310 38746176 38771600 39351585 40284400 40322464 40360600 41975024 42205656 42298620 43202640 43383200 43964225 44973240 45118528 45722794 46126400 46525920 48341280 48432720 49239932 49576800 50403080 52059840 52468780 52757070 52873275 54003300 55473600 56216550 56274208 56398160 57603520 58157400 59964320 60426600 60483696 60540900 61549915 62962536 63003850 64576960 65074800 65585975 66465600 67677792 68584191 69189600 70342760 70497700 71957184 72004400 73859898 74955400 75604620 77543200 78703170 80568800 80644928 80721200 83950048 84411312 84597240 86405280 86766400 87928450 89946480 91445588 93051840 94505775 96682560 96865440 98479864 99153600 100806160 104937560 105514140 105746550 108006600 112433100 112548416 112796320 114306985 116314800 119928640 120853200 120967392 121081800 123099830 125925072 126007700 130149600 131171950 131892675 135355584 137168382 138379200 140685520 140995400 144008800 147719796 149910800 151209240 155086400 157406340 160029779 161137600 161442400 167900096 168822624 169194480 172810560 175856900 179892960 182891176 184649745 189011550 193730880 196757925 196959728 201612320 209875120 211028280 211493100 216013200 224866200 225592640 228613970 232629600 241706400 241934784 242163600 246199660 251850144 252015400 260299200 262343900 263785350 274336764 281371040 281990800 288017600 295439592 299821600 302418480 307749575 314812680 320059558 322884800 337645248 338388960 342920955 351713800 359785920 365782352 369299490 378023100 393515850 393919456 403224640 419750240 422056560 422986200 432026400 449732400 457227940 465259200 480089337 483412800 484327200 492399320 503700288 504030800 524687800 527570700 548673528 562742080 563981600 571534925 590879184 599643200 604836960 615499150 629625360 640119116 676777920 685841910 703427600 731564704 738598980 756046200 787031700 787838912 800148895 839500480 844113120 845972400 864052800 899464800 914455880 923248725 960178674 968654400 984798640 1008061600 1049375600 1055141400 1097347056 1127963200 1143069850 1181758368 1209673920 1230998300 1259250720 1280238232 1371683820 1406855200 1463129408 1477197960 1512092400 1574063400 1600297790 1688226240 1691944800 1714604775 1798929600 1828911760 1846497450 1920357348 1969597280 2016123200 2098751200 2110282800 2194694112 2286139700 2363516736 2400446685 2461996600 2518501440 2560476464 2743367640 2813710400 2954395920 3024184800 3148126800 3200595580 3383889600 3429209550 3657823520 3692994900 3840714696 3939194560 4000744475 4197502400 4220565600 4389388224 4572279400 4800893370 4923993200 5120952928 5486735280 5908791840 6048369600 6296253600 6401191160 6858419100 7315647040 7385989800 7681429392 8001488950 8441131200 9144558800 9601786740 9847986400 10241905856 10973470560 11817583680 12002233425 12592507200 12802382320 13716838200 14771979600 15362858784 16002977900 18289117600 19203573480 19695972800 21946941120 24004466850 25604764640 27433676400 29543959200 30725717568 32005955800 36578235200 38407146960 48008933700 51209529280 54867352800 59087918400 64011911600 76814293920 96017867400 109734705600 128023823200 153628587840 192035734800 256047646400 384071469600 768142939200
- Sum of all divisors σ(n): 3191390404608
- Sum of proper divisors (its aliquot sum) s(n): 2423247465408
- 768142939200 is an abundant number, because the sum of its proper divisors (2423247465408) is greater than itself. Its abundance is 1655104526208
Bases of 768142939200
- Binary: 10110010110110001110001100010100010000002
- Hexadecimal: 0xB2D8E31440
- Base-36: 9SVOH16O
Squares and roots of 768142939200
- 768142939200 squared (7681429392002) is 590043575042814896640000
- 768142939200 cubed (7681429392003) is 453237805989463600546593804288000000
-
The
square root of 768142939200 is 876437.6413641759 -
The
cube root of 768142939200 is 9158.2820459401
Scales and comparisons
How big is 768142939200?- 768,142,939,200 seconds is equal to 24,424 years, 29 weeks, 4 days, 6 hours, 40 minutes.
-
To count from 1 to 768,142,939,200 would take you about forty-eight thousand, eight hundred forty-nine 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 768142939200 cubic inches would be around 763.2 feet tall.
Recreational maths with 768142939200
- 768142939200 backwards is 002939241867
- The number of decimal digits it has is: 12
- The sum of 768142939200's digits is 51
- 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 768142939200 - Facts about the integer". Numbermatics.com. 2024. Web. 20 September 2024.
APA style:
Numbermatics. (2024). Number 768142939200 - Facts about the integer. Retrieved 20 September 2024, from https://numbermatics.com/n/768142939200/
Chicago style:
Numbermatics. 2024. "Number 768142939200 - Facts about the integer". https://numbermatics.com/n/768142939200/
The information we have on file for 768142939200 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 768142939200, math, Factors of 768142939200, curriculum, school, college, exams, university, Prime factorization of 768142939200, STEM, science, technology, engineering, physics, economics, calculator, seven hundred sixty-eight billion, one hundred forty-two million, nine hundred thirty-nine thousand, two hundred.