4768338432000
4,768,338,432,000 is an even composite number composed of seven prime numbers multiplied together.
4768338432000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, six hundred sixty-four divisors.
Prime factorization of 4768338432000:
212 × 3 × 53 × 11 × 13 × 17 × 1277
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 13 × 17 × 1277)See below for interesting mathematical facts about the number 4768338432000 from the Numbermatics database.
Names of 4768338432000
- Cardinal: 4768338432000 can be written as Four trillion, seven hundred sixty-eight billion, three hundred thirty-eight million, four hundred thirty-two thousand.
Scientific notation
- Scientific notation: 4.768338432 × 1012
Factors of 4768338432000
Divisors of 4768338432000
- Number of divisors d(n): 1664
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 17 20 22 24 25 26 30 32 33 34 39 40 44 48 50 51 52 55 60 64 65 66 68 75 78 80 85 88 96 100 102 104 110 120 125 128 130 132 136 143 150 156 160 165 170 176 187 192 195 200 204 208 220 221 240 250 255 256 260 264 272 275 286 300 312 320 325 330 340 352 374 375 384 390 400 408 416 425 429 440 442 480 500 510 512 520 528 544 550 561 572 600 624 640 650 660 663 680 704 715 748 750 768 780 800 816 825 832 850 858 880 884 935 960 975 1000 1020 1024 1040 1056 1088 1100 1105 1122 1144 1200 1248 1275 1277 1280 1300 1320 1326 1360 1375 1408 1430 1496 1500 1536 1560 1600 1625 1632 1650 1664 1700 1716 1760 1768 1870 1920 1950 2000 2040 2048 2080 2112 2125 2145 2176 2200 2210 2244 2288 2400 2431 2496 2550 2554 2560 2600 2640 2652 2720 2750 2805 2816 2860 2992 3000 3072 3120 3200 3250 3264 3300 3315 3328 3400 3432 3520 3536 3575 3740 3831 3840 3900 4000 4080 4096 4125 4160 4224 4250 4290 4352 4400 4420 4488 4576 4675 4800 4862 4875 4992 5100 5108 5120 5200 5280 5304 5440 5500 5525 5610 5632 5720 5984 6000 6144 6240 6375 6385 6400 6500 6528 6600 6630 6656 6800 6864 7040 7072 7150 7293 7480 7662 7680 7800 8000 8160 8250 8320 8448 8500 8580 8704 8800 8840 8976 9152 9350 9600 9724 9750 9984 10200 10216 10240 10400 10560 10608 10725 10880 11000 11050 11220 11264 11440 11968 12000 12155 12288 12480 12750 12770 12800 13000 13056 13200 13260 13312 13600 13728 14025 14047 14080 14144 14300 14586 14960 15324 15360 15600 16000 16320 16500 16575 16601 16640 16896 17000 17160 17408 17600 17680 17875 17952 18304 18700 19155 19200 19448 19500 19968 20400 20432 20480 20800 21120 21216 21450 21709 21760 22000 22100 22440 22528 22880 23375 23936 24000 24310 24960 25500 25540 25600 26000 26112 26400 26520 26624 27200 27456 27625 28050 28094 28160 28288 28600 29172 29920 30648 30720 31200 31925 32000 32640 33000 33150 33202 33280 33792 34000 34320 34816 35200 35360 35750 35904 36465 36608 37400 38310 38400 38896 39000 39936 40800 40864 41600 42141 42240 42432 42900 43418 43520 44000 44200 44880 45056 45760 46750 47872 48000 48620 49803 49920 51000 51080 51200 52000 52224 52800 53040 53248 53625 54400 54912 55250 56100 56188 56320 56576 57200 58344 59840 60775 61296 61440 62400 63850 64000 65127 65280 66000 66300 66404 66560 67584 68000 68640 69632 70125 70235 70400 70720 71500 71808 72930 73216 74800 76620 76800 77792 78000 79872 81600 81728 82875 83005 83200 84282 84480 84864 85800 86836 87040 88000 88400 89760 91520 93500 95744 95775 96000 97240 99606 99840 102000 102160 102400 104000 104448 105600 106080 107250 108545 108800 109824 110500 112200 112376 112640 113152 114400 116688 119680 121550 122592 124800 127700 128000 130254 130560 132000 132600 132808 133120 135168 136000 137280 140250 140470 140800 141440 143000 143616 145860 146432 149600 153240 153600 155584 156000 159625 159744 163200 163456 165750 166010 166400 168564 168960 169728 171600 173672 174080 176000 176800 179520 182325 182611 183040 187000 191488 191550 192000 194480 199212 199680 204000 204320 208000 208896 210705 211200 212160 214500 217090 217600 219648 221000 224400 224752 225280 226304 228800 233376 238799 239360 243100 245184 249015 249600 255400 256000 260508 261120 264000 265200 265616 266240 272000 274560 280500 280940 281600 282217 282880 286000 287232 291720 292864 299200 303875 306480 307200 311168 312000 319250 325635 326400 326912 331500 332020 332800 337128 337920 339456 343200 347344 348160 351175 352000 353600 359040 364650 365222 366080 374000 382976 383100 384000 388960 398424 399360 408000 408640 415025 416000 421410 422400 424320 429000 434180 435200 439296 442000 448800 449504 452608 457600 466752 477598 478720 478875 486200 490368 498030 499200 510800 512000 521016 522240 528000 530400 531232 542725 544000 547833 549120 561000 561880 563200 564434 565760 572000 574464 583440 585728 598400 607750 612960 622336 624000 638500 651270 652800 653824 663000 664040 665600 674256 675840 678912 686400 694688 702350 704000 707200 716397 718080 729300 730444 732160 748000 765952 766200 768000 777920 796848 798720 816000 817280 830050 832000 842820 844800 846651 848640 858000 868360 870400 878592 884000 897600 899008 905216 911625 913055 915200 933504 955196 957440 957750 972400 980736 996060 998400 1021600 1042032 1044480 1053525 1056000 1060800 1062464 1085450 1088000 1095666 1098240 1122000 1123760 1126400 1128868 1131520 1144000 1148928 1166880 1193995 1196800 1215500 1225920 1244672 1245075 1248000 1277000 1302540 1305600 1307648 1326000 1328080 1331200 1348512 1357824 1372800 1389376 1404700 1408000 1411085 1414400 1432794 1436160 1458600 1460888 1464320 1496000 1532400 1536000 1555840 1593696 1628175 1632000 1634560 1660100 1664000 1685640 1689600 1693302 1697280 1716000 1736720 1740800 1755875 1757184 1768000 1795200 1798016 1823250 1826110 1830400 1867008 1910392 1914880 1915500 1944800 1961472 1992120 1996800 2043200 2075125 2084064 2107050 2112000 2121600 2124928 2170900 2176000 2191332 2196480 2244000 2247520 2257736 2263040 2288000 2297856 2333760 2387990 2393600 2431000 2451840 2489344 2490150 2496000 2554000 2605080 2611200 2615296 2652000 2656160 2697024 2713625 2715648 2739165 2745600 2778752 2809400 2816000 2822170 2828800 2865588 2872320 2917200 2921776 2928640 2992000 3064800 3104387 3111680 3187392 3256350 3264000 3269120 3320200 3328000 3371280 3379200 3386604 3394560 3432000 3473440 3511750 3536000 3581985 3590400 3596032 3646500 3652220 3660800 3734016 3820784 3829760 3831000 3889600 3922944 3984240 3993600 4086400 4150250 4168128 4214100 4224000 4233255 4243200 4249856 4341800 4352000 4382664 4392960 4488000 4495040 4515472 4526080 4565275 4576000 4667520 4775980 4787200 4862000 4903680 4978688 4980300 4992000 5108000 5210160 5222400 5230592 5267625 5304000 5312320 5394048 5427250 5478330 5491200 5557504 5618800 5632000 5644340 5657600 5731176 5744640 5834400 5843552 5969975 5984000 6129600 6208774 6223360 6225375 6374784 6512700 6528000 6538240 6640400 6656000 6742560 6773208 6789120 6864000 6946880 7023500 7055425 7072000 7163970 7180800 7192064 7293000 7304440 7321600 7468032 7641568 7662000 7779200 7845888 7968480 8140875 8172800 8300500 8336256 8428200 8448000 8466510 8486400 8499712 8683600 8704000 8765328 8785920 8976000 8990080 9030944 9130550 9152000 9313161 9335040 9551960 9574400 9724000 9807360 9957376 9960600 9984000 10216000 10420320 10535250 10608000 10624640 10788096 10854500 10956660 10982400 11115008 11237600 11288680 11315200 11462352 11489280 11668800 11687104 11939950 11968000 12259200 12417548 12446720 12450750 12749568 13025400 13056000 13076480 13280800 13485120 13546416 13578240 13695825 13728000 13893760 14047000 14110850 14144000 14327940 14361600 14384128 14586000 14608880 14643200 14936064 15283136 15324000 15521935 15558400 15691776 15936960 16281750 16345600 16601000 16672512 16856400 16896000 16933020 16972800 16999424 17367200 17530656 17909925 17952000 17980160 18061888 18261100 18304000 18626322 18670080 19103920 19148800 19448000 19614720 19921200 19968000 20432000 20840640 21070500 21166275 21216000 21249280 21576192 21709000 21913320 21964800 22230016 22475200 22577360 22630400 22826375 22924704 23337600 23374208 23879900 23936000 24518400 24835096 24893440 24901500 25499136 26050800 26112000 26152960 26561600 26970240 27092832 27391650 27456000 27787520 28094000 28221700 28288000 28655880 28723200 28768256 29172000 29217760 29849875 29872128 30566272 30648000 31043870 31116800 31873920 32563500 32691200 33202000 33345024 33712800 33866040 33945600 33998848 34734400 35061312 35277125 35819850 35904000 35960320 36123776 36522200 36608000 37252644 37340160 38207840 38896000 39229440 39842400 40864000 41681280 42141000 42332550 42432000 42498560 43152384 43418000 43826640 43929600 44460032 44950400 45154720 45652750 45849408 46565805 46675200 46748416 47759800 47872000 49036800 49670192 49786880 49803000 50998272 52101600 53123200 53940480 54185664 54783300 54912000 55575040 56188000 56443400 56576000 57311760 57446400 57536512 58344000 58435520 59699750 61132544 61296000 62087740 62233600 63747840 65127000 65382400 66404000 66690048 67425600 67732080 67891200 67997696 68479125 69468800 70122624 70554250 71639700 71808000 71920640 72247552 73044400 73216000 74505288 74680320 76415680 77609675 77792000 78458880 79684800 81728000 83362560 84282000 84665100 84864000 84997120 86304768 86836000 87653280 88920064 89549625 89900800 90309440 91305500 91698816 93131610 93350400 93496832 95519600 95744000 98073600 99340384 99606000 101996544 104203200 105831375 106246400 107880960 108371328 109566600 109824000 111150080 112376000 112886800 113152000 114623520 116688000 116871040 119399500 122265088 122592000 124175480 124467200 127495680 130254000 130764800 132808000 133380096 134851200 135464160 136958250 138937600 140245248 141108500 143279400 143616000 143841280 144495104 146088800 149010576 149360640 152831360 155219350 155584000 159369600 163456000 166725120 168564000 169330200 169728000 169994240 172609536 173672000 175306560 179099250 179801600 180618880 182611000 183397632 186263220 186700800 186993664 191039200 196147200 198680768 199212000 203993088 208406400 211662750 212492800 215761920 216742656 219133200 219648000 222300160 224752000 225773600 229247040 232829025 233376000 233742080 238799000 244530176 245184000 248350960 248934400 254991360 260508000 265616000 266760192 269702400 270928320 273916500 277875200 280490496 282217000 286558800 287232000 287682560 288990208 292177600 298021152 305662720 310438700 311168000 318739200 326912000 333450240 337128000 338660400 339456000 339988480 347344000 350613120 358198500 359603200 361237760 365222000 366795264 372526440 373401600 373987328 382078400 388048375 392294400 397361536 398424000 416812800 423325500 424985600 431523840 433485312 438266400 444600320 449504000 451547200 458494080 465658050 466752000 467484160 477598000 489060352 490368000 496701920 509982720 521016000 531232000 539404800 541856640 547833000 555750400 560980992 564434000 573117600 577980416 584355200 596042304 611325440 620877400 622336000 637478400 653824000 666900480 674256000 677320800 694688000 701226240 716397000 719206400 722475520 730444000 733590528 745052880 746803200 747974656 764156800 776096750 794723072 796848000 833625600 846651000 849971200 863047680 866970624 876532800 899008000 903094400 916988160 931316100 933504000 934968320 955196000 978120704 980736000 993403840 1019965440 1042032000 1062464000 1078809600 1083713280 1095666000 1111500800 1121961984 1128868000 1146235200 1155960832 1164145125 1168710400 1192084608 1222650880 1241754800 1244672000 1274956800 1333800960 1348512000 1354641600 1389376000 1402452480 1432794000 1438412800 1444951040 1460888000 1467181056 1490105760 1528313600 1552193500 1589446144 1593696000 1667251200 1693302000 1699942400 1733941248 1753065600 1798016000 1806188800 1833976320 1862632200 1867008000 1869936640 1910392000 1961472000 1986807680 2084064000 2124928000 2157619200 2167426560 2191332000 2223001600 2243923968 2257736000 2292470400 2328290250 2337420800 2384169216 2445301760 2483509600 2549913600 2697024000 2709283200 2778752000 2804904960 2865588000 2889902080 2921776000 2934362112 2980211520 3056627200 3104387000 3178892288 3187392000 3334502400 3386604000 3467882496 3506131200 3596032000 3612377600 3667952640 3725264400 3734016000 3739873280 3820784000 3973615360 4168128000 4249856000 4315238400 4334853120 4382664000 4515472000 4584940800 4656580500 4674841600 4768338432 4890603520 4967019200 5099827200 5394048000 5418566400 5557504000 5609809920 5731176000 5779804160 5843552000 5960423040 6113254400 6208774000 6357784576 6374784000 6669004800 6773208000 7012262400 7192064000 7224755200 7335905280 7450528800 7641568000 7947230720 8336256000 8499712000 8669706240 8765328000 9030944000 9169881600 9313161000 9349683200 9536676864 9934038400 10788096000 10837132800 11115008000 11219619840 11462352000 11687104000 11920846080 12226508800 12417548000 12715569152 12749568000 13546416000 14024524800 14449510400 14671810560 14901057600 15283136000 15894461440 16672512000 17339412480 17530656000 18061888000 18339763200 18626322000 18699366400 19073353728 19868076800 21576192000 21674265600 22924704000 23374208000 23841692160 24453017600 24835096000 25499136000 27092832000 28049049600 28899020800 29802115200 30566272000 31788922880 33345024000 35061312000 36123776000 36679526400 37252644000 38146707456 39736153600 43348531200 45849408000 46748416000 47683384320 49670192000 54185664000 56098099200 59604230400 61132544000 63577845760 70122624000 72247552000 73359052800 74505288000 79472307200 86697062400 91698816000 93496832000 95366768640 99340384000 108371328000 119208460800 122265088000 140245248000 144495104000 149010576000 158944614400 183397632000 190733537280 198680768000 216742656000 238416921600 280490496000 298021152000 317889228800 366795264000 397361536000 433485312000 476833843200 596042304000 794723072000 953667686400 1192084608000 1589446144000 2384169216000 4768338432000
- Sum of all divisors σ(n): 19753049691648
- Sum of proper divisors (its aliquot sum) s(n): 14984711259648
- 4768338432000 is an abundant number, because the sum of its proper divisors (14984711259648) is greater than itself. Its abundance is 10216372827648
Bases of 4768338432000
- Binary: 10001010110001101110001111001010000000000002
- Hexadecimal: 0x456371E5000
- Base-36: 1OUJLL5HC
Squares and roots of 4768338432000
- 4768338432000 squared (47683384320002) is 22737051402088218624000000
- 4768338432000 cubed (47683384320003) is 108417956030936737919237357568000000000
-
The
square root of 4768338432000 is 2183652.5437898769 -
The
cube root of 4768338432000 is 16831.4820111719
Scales and comparisons
How big is 4768338432000?- 4,768,338,432,000 seconds is equal to 151,618 years, 21 weeks, 3 days, 5 hours, 20 minutes.
-
To count from 1 to 4,768,338,432,000 would take you about three hundred seventy-nine thousand and forty-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 4768338432000 cubic inches would be around 1402.6 feet tall.
Recreational maths with 4768338432000
- 4768338432000 backwards is 0002348338674
- 4768338432000 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 4768338432000'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 4768338432000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
APA style:
Numbermatics. (2024). Number 4768338432000 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/4768338432000/
Chicago style:
Numbermatics. 2024. "Number 4768338432000 - Facts about the integer". https://numbermatics.com/n/4768338432000/
The information we have on file for 4768338432000 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 4768338432000, math, Factors of 4768338432000, curriculum, school, college, exams, university, Prime factorization of 4768338432000, STEM, science, technology, engineering, physics, economics, calculator, four trillion, seven hundred sixty-eight billion, three hundred thirty-eight million, four hundred thirty-two thousand.