48688439296000
48,688,439,296,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 48688439296000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1088 divisors.
48688439296000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty-eight divisors.
Prime factorization of 48688439296000:
216 × 53 × 7 × 31 × 61 × 449
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 31 × 61 × 449)See below for interesting mathematical facts about the number 48688439296000 from the Numbermatics database.
Names of 48688439296000
- Cardinal: 48688439296000 can be written as Forty-eight trillion, six hundred eighty-eight billion, four hundred thirty-nine million, two hundred ninety-six thousand.
Scientific notation
- Scientific notation: 4.8688439296 × 1013
Factors of 48688439296000
Divisors of 48688439296000
- Number of divisors d(n): 1088
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 50 56 61 62 64 70 80 100 112 122 124 125 128 140 155 160 175 200 217 224 244 248 250 256 280 305 310 320 350 400 427 434 448 449 488 496 500 512 560 610 620 640 700 775 800 854 868 875 896 898 976 992 1000 1024 1085 1120 1220 1240 1280 1400 1525 1550 1600 1708 1736 1750 1792 1796 1891 1952 1984 2000 2048 2135 2170 2240 2245 2440 2480 2560 2800 3050 3100 3143 3200 3416 3472 3500 3584 3592 3782 3875 3904 3968 4000 4096 4270 4340 4480 4490 4880 4960 5120 5425 5600 6100 6200 6286 6400 6832 6944 7000 7168 7184 7564 7625 7750 7808 7936 8000 8192 8540 8680 8960 8980 9455 9760 9920 10240 10675 10850 11200 11225 12200 12400 12572 12800 13237 13664 13888 13919 14000 14336 14368 15128 15250 15500 15616 15715 15872 16000 16384 17080 17360 17920 17960 18910 19520 19840 20480 21350 21700 22400 22450 24400 24800 25144 25600 26474 27125 27328 27389 27776 27838 28000 28672 28736 30256 30500 31000 31232 31430 31744 32000 32768 34160 34720 35840 35920 37820 39040 39680 40960 42700 43400 44800 44900 47275 48800 49600 50288 51200 52948 53375 54250 54656 54778 55552 55676 56000 56125 57344 57472 60512 61000 62000 62464 62860 63488 64000 65536 66185 68320 69440 69595 71680 71840 75640 78080 78575 79360 81920 85400 86800 89600 89800 94550 97433 97600 99200 100576 102400 105896 106750 108500 109312 109556 111104 111352 112000 112250 114688 114944 121024 122000 124000 124928 125720 126976 128000 132370 136640 136945 138880 139190 143360 143680 151280 156160 157150 158720 163840 170800 173600 179200 179600 189100 191723 194866 195200 198400 201152 204800 211792 213500 217000 218624 219112 222208 222704 224000 224500 229376 229888 236375 242048 244000 248000 249856 251440 253952 256000 264740 273280 273890 277760 278380 286720 287360 302560 312320 314300 317440 327680 330925 341600 347200 347975 358400 359200 378200 383446 389732 390400 392875 396800 402304 409600 423584 427000 434000 437248 438224 444416 445408 448000 449000 458752 459776 472750 484096 487165 488000 496000 499712 502880 507904 512000 529480 546560 547780 555520 556760 573440 574720 605120 624640 628600 634880 661850 683200 684725 694400 695950 716800 718400 756400 766892 779464 780800 785750 793600 804608 819200 847168 849059 854000 868000 874496 876448 888832 890816 896000 898000 919552 945500 958615 968192 974330 976000 992000 999424 1005760 1015808 1024000 1058960 1093120 1095560 1111040 1113520 1146880 1149440 1210240 1249280 1257200 1269760 1323700 1366400 1369450 1388800 1391900 1433600 1436800 1512800 1533784 1558928 1561600 1571500 1587200 1609216 1638400 1654625 1694336 1698118 1708000 1736000 1739875 1748992 1752896 1777664 1781632 1792000 1796000 1839104 1891000 1917230 1936384 1948660 1952000 1984000 1998848 2011520 2031616 2048000 2117920 2186240 2191120 2222080 2227040 2293760 2298880 2420480 2435825 2498560 2514400 2539520 2647400 2732800 2738900 2777600 2783800 2867200 2873600 3025600 3067568 3117856 3123200 3143000 3174400 3218432 3309250 3388672 3396236 3416000 3423625 3472000 3479750 3497984 3505792 3555328 3563264 3584000 3592000 3678208 3782000 3834460 3872768 3897320 3904000 3968000 3997696 4023040 4096000 4235840 4245295 4372480 4382240 4444160 4454080 4597760 4793075 4840960 4871650 4997120 5028800 5079040 5294800 5465600 5477800 5555200 5567600 5734400 5747200 5943413 6051200 6135136 6235712 6246400 6286000 6348800 6436864 6618500 6777344 6792472 6832000 6847250 6944000 6959500 6995968 7011584 7110656 7126528 7168000 7184000 7356416 7564000 7668920 7745536 7794640 7808000 7936000 8046080 8192000 8471680 8490590 8744960 8764480 8888320 8908160 9195520 9586150 9681920 9743300 9994240 10057600 10158080 10589600 10931200 10955600 11110400 11135200 11468800 11494400 11886826 12102400 12179125 12270272 12471424 12492800 12572000 12697600 12873728 13237000 13554688 13584944 13664000 13694500 13888000 13919000 13991936 14023168 14221312 14253056 14336000 14368000 14712832 15128000 15337840 15491072 15589280 15616000 15872000 16092160 16943360 16981180 17489920 17528960 17776640 17816320 18391040 19172300 19363840 19486600 19988480 20115200 21179200 21226475 21862400 21911200 22220800 22270400 22988800 23773652 23965375 24204800 24358250 24540544 24942848 24985600 25144000 25395200 25747456 26474000 27109376 27169888 27328000 27389000 27776000 27838000 27983872 28046336 28506112 28672000 28736000 29425664 29717065 30256000 30675680 30982144 31178560 31232000 31744000 32184320 33886720 33962360 34979840 35057920 35553280 35632640 36782080 38344600 38727680 38973200 40230400 42358400 42452950 43724800 43822400 44441600 44540800 45977600 47547304 47930750 48409600 48716500 49081088 49885696 49971200 50288000 50790400 51494912 52948000 54218752 54339776 54656000 54778000 55552000 55676000 56092672 57012224 57344000 57472000 59434130 60512000 61351360 61964288 62357120 62464000 63488000 64368640 67773440 67924720 69959680 70115840 71106560 71265280 73564160 76689200 77455360 77946400 80460800 84716800 84905900 87449600 87644800 88883200 89081600 91955200 95094608 95861500 96819200 97433000 98162176 99771392 99942400 100576000 102989824 105896000 106132375 108437504 108679552 109312000 109556000 111104000 111352000 112185344 114024448 114944000 118868260 121024000 122702720 123928576 124714240 124928000 126976000 128737280 135546880 135849440 139919360 140231680 142530560 147128320 148585325 153378400 154910720 155892800 160921600 169433600 169811800 174899200 175289600 177766400 178163200 183910400 190189216 191723000 193638400 194866000 196324352 199542784 201152000 205979648 211792000 212264750 216875008 217359104 218624000 219112000 222208000 222704000 224370688 228048896 229888000 237736520 242048000 245405440 249428480 249856000 253952000 257474560 271093760 271698880 280463360 285061120 297170650 306756800 309821440 311785600 321843200 338867200 339623600 349798400 350579200 355532800 356326400 367820800 380378432 383446000 387276800 389732000 392648704 399085568 402304000 423584000 424529500 433750016 434718208 437248000 438224000 444416000 445408000 448741376 456097792 459776000 475473040 484096000 490810880 498856960 499712000 514949120 542187520 543397760 560926720 570122240 594341300 613513600 619642880 623571200 643686400 677734400 679247200 699596800 701158400 712652800 735641600 742926625 760756864 766892000 774553600 779464000 785297408 798171136 804608000 847168000 849059000 867500032 869436416 874496000 876448000 888832000 890816000 897482752 912195584 919552000 950946080 968192000 981621760 997713920 1029898240 1084375040 1086795520 1121853440 1140244480 1188682600 1227027200 1247142400 1287372800 1355468800 1358494400 1402316800 1425305600 1485853250 1521513728 1533784000 1549107200 1558928000 1570594816 1596342272 1609216000 1694336000 1698118000 1738872832 1748992000 1752896000 1777664000 1781632000 1794965504 1839104000 1901892160 1936384000 1963243520 1995427840 2168750080 2173591040 2243706880 2280488960 2377365200 2454054400 2494284800 2574745600 2710937600 2716988800 2804633600 2850611200 2971706500 3043027456 3067568000 3098214400 3117856000 3141189632 3192684544 3218432000 3388672000 3396236000 3477745664 3497984000 3505792000 3563264000 3678208000 3803784320 3872768000 3926487040 3990855680 4337500160 4347182080 4487413760 4560977920 4754730400 4908108800 4988569600 5149491200 5421875200 5433977600 5609267200 5701222400 5943413000 6086054912 6135136000 6235712000 6282379264 6385369088 6436864000 6777344000 6792472000 6955491328 7011584000 7126528000 7607568640 7745536000 7852974080 7981711360 8694364160 8974827520 9509460800 9816217600 9977139200 10843750400 10867955200 11218534400 11402444800 11886826000 12172109824 12270272000 12471424000 12564758528 12873728000 13554688000 13584944000 13910982656 14023168000 14253056000 15215137280 15491072000 15705948160 15963422720 17388728320 19018921600 19632435200 19954278400 21687500800 21735910400 22437068800 22804889600 23773652000 24344219648 24540544000 24942848000 25747456000 27109376000 27169888000 27821965312 28046336000 28506112000 30430274560 31411896320 31926845440 34777456640 38037843200 39264870400 39908556800 43471820800 44874137600 47547304000 48688439296 49081088000 49885696000 54218752000 54339776000 55643930624 56092672000 57012224000 60860549120 62823792640 69554913280 76075686400 78529740800 79817113600 86943641600 95094608000 97376878592 98162176000 99771392000 108437504000 108679552000 112185344000 114024448000 121721098240 139109826560 152151372800 157059481600 159634227200 173887283200 190189216000 194753757184 196324352000 199542784000 217359104000 224370688000 243442196480 278219653120 304302745600 314118963200 347774566400 380378432000 389507514368 392648704000 399085568000 434718208000 486884392960 608605491200 695549132800 760756864000 785297408000 798171136000 869436416000 973768785920 1217210982400 1391098265600 1521513728000 1570594816000 1738872832000 1947537571840 2434421964800 3043027456000 3477745664000 4868843929600 6086054912000 6955491328000 9737687859200 12172109824000 24344219648000 48688439296000
- Sum of all divisors σ(n): 146041195622400
- Sum of proper divisors (its aliquot sum) s(n): 97352756326400
- 48688439296000 is an abundant number, because the sum of its proper divisors (97352756326400) is greater than itself. Its abundance is 48664317030400
Bases of 48688439296000
- Binary: 10110001001000001010010010000100000000000000002
- Hexadecimal: 0x2C4829210000
- Base-36: H9B5RNPJ4
Squares and roots of 48688439296000
- 48688439296000 squared (486884392960002) is 2370564121080276975616000000
- 48688439296000 cubed (486884392960003) is 115419067306492659470146088206336000000000
-
The
square root of 48688439296000 is 6977710.1756951757 -
The
cube root of 48688439296000 is 36515.3345952311
Scales and comparisons
How big is 48688439296000?- 48,688,439,296,000 seconds is equal to 1,548,141 years, 39 weeks, 5 days, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 48,688,439,296,000 would take you about three million, eight hundred seventy thousand, three hundred fifty-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 48688439296000 cubic inches would be around 3042.9 feet tall.
Recreational maths with 48688439296000
- 48688439296000 backwards is 00069293488684
- The number of decimal digits it has is: 14
- The sum of 48688439296000's digits is 67
- 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 48688439296000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
APA style:
Numbermatics. (2024). Number 48688439296000 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/48688439296000/
Chicago style:
Numbermatics. 2024. "Number 48688439296000 - Facts about the integer". https://numbermatics.com/n/48688439296000/
The information we have on file for 48688439296000 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 48688439296000, math, Factors of 48688439296000, curriculum, school, college, exams, university, Prime factorization of 48688439296000, STEM, science, technology, engineering, physics, economics, calculator, forty-eight trillion, six hundred eighty-eight billion, four hundred thirty-nine million, two hundred ninety-six thousand.