48379840730112000
48,379,840,730,112,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 48379840730112000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2688 divisors.
48379840730112000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 48379840730112000:
213 × 3 × 53 × 19 × 31 × 372 × 19531
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 19 × 31 × 37 × 37 × 19531)See below for interesting mathematical facts about the number 48379840730112000 from the Numbermatics database.
Names of 48379840730112000
- Cardinal: 48379840730112000 can be written as Forty-eight quadrillion, three hundred seventy-nine trillion, eight hundred forty billion, seven hundred thirty million, one hundred twelve thousand.
Scientific notation
- Scientific notation: 4.8379840730112 × 1016
Factors of 48379840730112000
Divisors of 48379840730112000
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 31 32 37 38 40 48 50 57 60 62 64 74 75 76 80 93 95 96 100 111 114 120 124 125 128 148 150 152 155 160 185 186 190 192 200 222 228 240 248 250 256 285 296 300 304 310 320 370 372 375 380 384 400 444 456 465 475 480 496 500 512 555 570 589 592 600 608 620 640 703 740 744 750 760 768 775 800 888 912 925 930 950 960 992 1000 1024 1110 1140 1147 1178 1184 1200 1216 1240 1280 1369 1406 1425 1480 1488 1500 1520 1536 1550 1600 1767 1776 1824 1850 1860 1900 1920 1984 2000 2048 2109 2220 2280 2294 2325 2356 2368 2375 2400 2432 2480 2560 2738 2775 2812 2850 2945 2960 2976 3000 3040 3072 3100 3200 3441 3515 3534 3552 3648 3700 3720 3800 3840 3875 3968 4000 4096 4107 4218 4440 4560 4588 4625 4650 4712 4736 4750 4800 4864 4960 5120 5476 5550 5624 5700 5735 5890 5920 5952 6000 6080 6144 6200 6400 6845 6882 7030 7068 7104 7125 7296 7400 7440 7600 7680 7750 7936 8000 8192 8214 8436 8835 8880 9120 9176 9250 9300 9424 9472 9500 9600 9728 9920 10240 10545 10952 11100 11248 11400 11470 11625 11780 11840 11904 12000 12160 12288 12400 12800 13690 13764 13875 14060 14136 14208 14250 14592 14725 14800 14880 15200 15360 15500 15872 16000 16428 16872 17205 17575 17670 17760 18240 18352 18500 18600 18848 18944 19000 19200 19456 19531 19840 20480 20535 21090 21793 21904 22200 22496 22800 22940 23250 23560 23680 23808 24000 24320 24576 24800 25600 26011 27380 27528 27750 28120 28272 28416 28500 28675 29184 29450 29600 29760 30400 30720 31000 31744 32000 32856 33744 34225 34410 35150 35340 35520 36480 36704 37000 37200 37696 37888 38000 38400 38912 39062 39680 40960 41070 42180 42439 43586 43808 44175 44400 44992 45600 45880 46500 47120 47360 47616 48000 48640 49600 51200 52022 52725 54760 55056 55500 56240 56544 56832 57000 57350 58368 58593 58900 59200 59520 60800 61440 62000 63488 64000 65379 65712 67488 68450 68820 70300 70680 71040 72960 73408 73625 74000 74400 75392 75776 76000 76800 77824 78033 78124 79360 82140 84360 84878 86025 87172 87616 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310828540875 314972921420 318288425856 319229312250 320855268000 325133338240 326890815744 328555794432 329527032000 331550443600 337435680768 340511266400 342245619200 344095595520 351495500800 353395476480 358432912000 368120288000 369995264000 371995238400 377967505704 379995136000 381015630750 390160005888 393716151775 397860532320 406416672800 408613519680 410694743040 412846592000 414438054500 421794600960 424384567808 425639083000 427807024000 430119494400 435854420992 439369376000 441744345600 443994316800 458794127360 464994048000 471193968640 472459382130 487700007360 495415910400 497325665400 503956674272 508020841000 510766899600 513368428800 520213341184 527243251200 530480709760 537649368000 544818026240 547592990720 550552952832 552180432000 554992896000 562392801280 569992704000 573492659200 588992460800 609625009200 619269888000 619992064000 621657081750 629945842840 636576851712 638458624500 641710536000 650266676480 653781631488 657111588864 659054064000 663100887200 681022532800 684491238400 688191191040 702991001600 706790952960 716865824000 736240576000 739990528000 755935011408 762031261500 780320011776 787432303550 795721064640 812833345600 817227039360 821389486080 825693184000 828876109000 843589201920 848769135616 851278166000 855614048000 860238988800 871708841984 878738752000 883488691200 917588254720 929988096000 944918764260 975400014720 994651330800 1007913348544 1016041682000 1021533799200 1026736857600 1040426682368 1054486502400 1060961419520 1075298736000 1089636052480 1095185981440 1104360864000 1109985792000 1139985408000 1146985318400 1177984921600 1181148455325 1219250018400 1238539776000 1243314163500 1259891685680 1273153703424 1276917249000 1283421072000 1300533352960 1307563262976 1318108128000 1326201774400 1362045065600 1368982476800 1376382382080 1405982003200 1413581905920 1433731648000 1472481152000 1511870022816 1524062523000 1560640023552 1574864607100 1591442129280 1625666691200 1634454078720 1642778972160 1657752218000 1687178403840 1697538271232 1702556332000 1711228096000 1720477977600 1743417683968 1757477504000 1766977382400 1859976192000 1889837528520 1950800029440 1968580758875 1989302661600 2015826697088 2032083364000 2043067598400 2053473715200 2080853364736 2108973004800 2121922839040 2150597472000 2179272104960 2208721728000 2219971584000 2293970636800 2355969843200 2362296910650 2438500036800 2477079552000 2486628327000 2519783371360 2546307406848 2553834498000 2566842144000 2601066705920 2615126525952 2636216256000 2652403548800 2724090131200 2737964953600 2752764764160 2811964006400 2867463296000 2944962304000 3023740045632 3048125046000 3121280047104 3149729214200 3182884258560 3251333382400 3268908157440 3285557944320 3315504436000 3395076542464 3405112664000 3422456192000 3440955955200 3486835367936 3514955008000 3533954764800 3779675057040 3901600058880 3937161517750 3978605323200 4031653394176 4064166728000 4086135196800 4106947430400 4161706729472 4217946009600 4243845678080 4301194944000 4358544209920 4417443456000 4587941273600 4724593821300 4877000073600 4973256654000 5039566742720 5092614813696 5107668996000 5133684288000 5202133411840 5230253051904 5272432512000 5304807097600 5448180262400 5475929907200 5734926592000 5889924608000 5905742276625 6047480091264 6096250092000 6242560094208 6299458428400 6365768517120 6502666764800 6537816314880 6631008872000 6790153084928 6810225328000 6844912384000 6881911910400 7029910016000 7067909529600 7559350114080 7803200117760 7874323035500 7957210646400 8063306788352 8128333456000 8172270393600 8213894860800 8435892019200 8487691356160 8602389888000 8717088419840 8834886912000 9449187642600 9754000147200 9946513308000 10079133485440 10185229627392 10215337992000 10267368576000 10404266823680 10460506103808 10544865024000 10609614195200 10896360524800 11469853184000 11779849216000 11811484553250 12094960182528 12192500184000 12485120188416 12598916856800 12731537034240 13005333529600 13075632629760 13262017744000 13620450656000 13689824768000 13763823820800 14059820032000 15118700228160 15606400235520 15748646071000 15914421292800 16126613576704 16256666912000 16344540787200 16427789721600 16975382712320 17204779776000 17434176839680 17669773824000 18898375285200 19508000294400 19893026616000 20158266970880 20370459254784 20430675984000 20534737152000 20808533647360 21089730048000 21219228390400 21792721049600 22939706368000 23622969106500 24189920365056 24385000368000 25197833713600 25463074068480 26010667059200 26151265259520 26524035488000 27240901312000 27379649536000 30237400456320 31212800471040 31497292142000 31828842585600 32253227153408 32513333824000 32689081574400 33950765424640 34409559552000 35339547648000 37796750570400 39016000588800 39786053232000 40316533941760 40861351968000 41069474304000 42179460096000 42438456780800 43585442099200 47245938213000 48379840730112 48770000736000 50395667427200 50926148136960 52021334118400 52302530519040 53048070976000 54481802624000 60474800912640 62425600942080 62994584284000 63657685171200 64506454306816 65026667648000 65378163148800 68819119104000 75593501140800 78032001177600 79572106464000 80633067883520 81722703936000 82138948608000 84876913561600 87170884198400 94491876426000 96759681460224 97540001472000 100791334854400 101852296273920 104042668236800 106096141952000 108963605248000 120949601825280 125989168568000 127315370342400 129012908613632 130053335296000 130756326297600 151187002281600 156064002355200 159144212928000 161266135767040 163445407872000 169753827123200 188983752852000 193519362920448 195080002944000 201582669708800 212192283904000 217927210496000 241899203650560 251978337136000 254630740684800 260106670592000 261512652595200 302374004563200 312128004710400 318288425856000 322532271534080 326890815744000 377967505704000 387038725840896 390160005888000 403165339417600 424384567808000 435854420992000 483798407301120 503956674272000 509261481369600 520213341184000 604748009126400 636576851712000 645064543068160 653781631488000 755935011408000 780320011776000 806330678835200 848769135616000 967596814602240 1007913348544000 1209496018252800 1273153703424000 1307563262976000 1511870022816000 1560640023552000 1612661357670400 1935193629204480 2015826697088000 2418992036505600 2546307406848000 3023740045632000 3225322715340800 4031653394176000 4837984073011200 6047480091264000 8063306788352000 9675968146022400 12094960182528000 16126613576704000 24189920365056000 48379840730112000
- Sum of all divisors σ(n): 179803775999877120
- Sum of proper divisors (its aliquot sum) s(n): 131423935269765120
- 48379840730112000 is an abundant number, because the sum of its proper divisors (131423935269765120) is greater than itself. Its abundance is 83044094539653120
Bases of 48379840730112000
- Binary: 101010111110000100110101011101010000001000100000000000002
- Hexadecimal: 0xABE13575022000
- Base-36: D8D80088K5C
Squares and roots of 48379840730112000
- 48379840730112000 squared (483798407301120002) is 2340608989071004017223532544000000
- 48379840730112000 cubed (483798407301120003) is 113238290102723633221240633736620752764928000000000
-
The
square root of 48379840730112000 is 219954178.7057295259 -
The
cube root of 48379840730112000 is 364380.2348633423
Scales and comparisons
How big is 48379840730112000?- 48,379,840,730,112,000 seconds is equal to 1,538,329,286 years, 28 weeks, 2 days, 5 hours, 20 minutes.
-
To count from 1 to 48,379,840,730,112,000 would take you about four billion, six hundred fourteen million, nine hundred eighty-seven thousand, eight hundred fifty-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 48379840730112000 cubic inches would be around 30365 feet tall.
Recreational maths with 48379840730112000
- 48379840730112000 backwards is 00021103704897384
- 48379840730112000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 48379840730112000's digits is 57
- More coming soon!
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"Number 48379840730112000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 48379840730112000 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/48379840730112000/
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The information we have on file for 48379840730112000 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!
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