48466978406400
48,466,978,406,400 is an even composite number composed of five prime numbers multiplied together.
48466978406400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 48466978406400:
219 × 3 × 52 × 972 × 131
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 97 × 97 × 131)See below for interesting mathematical facts about the number 48466978406400 from the Numbermatics database.
Names of 48466978406400
- Cardinal: 48466978406400 can be written as Forty-eight trillion, four hundred sixty-six billion, nine hundred seventy-eight million, four hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 4.84669784064 × 1013
Factors of 48466978406400
Divisors of 48466978406400
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 97 100 120 128 131 150 160 192 194 200 240 256 262 291 300 320 384 388 393 400 480 485 512 524 582 600 640 655 768 776 786 800 960 970 1024 1048 1164 1200 1280 1310 1455 1536 1552 1572 1600 1920 1940 1965 2048 2096 2328 2400 2425 2560 2620 2910 3072 3104 3144 3200 3275 3840 3880 3930 4096 4192 4656 4800 4850 5120 5240 5820 6144 6208 6288 6400 6550 7275 7680 7760 7860 8192 8384 9312 9409 9600 9700 9825 10240 10480 11640 12288 12416 12576 12707 12800 13100 14550 15360 15520 15720 16384 16768 18624 18818 19200 19400 19650 20480 20960 23280 24576 24832 25152 25414 25600 26200 28227 29100 30720 31040 31440 32768 33536 37248 37636 38121 38400 38800 39300 40960 41920 46560 47045 49152 49664 50304 50828 51200 52400 56454 58200 61440 62080 62880 63535 65536 67072 74496 75272 76242 76800 77600 78600 81920 83840 93120 94090 98304 99328 100608 101656 102400 104800 112908 116400 122880 124160 125760 127070 131072 134144 141135 148992 150544 152484 153600 155200 157200 163840 167680 186240 188180 190605 196608 198656 201216 203312 204800 209600 225816 232800 235225 245760 248320 251520 254140 262144 268288 282270 297984 301088 304968 307200 310400 314400 317675 327680 335360 372480 376360 381210 393216 397312 402432 406624 409600 419200 451632 465600 470450 491520 496640 503040 508280 524288 536576 564540 595968 602176 609936 614400 620800 628800 635350 655360 670720 705675 744960 752720 762420 786432 794624 804864 813248 819200 838400 903264 931200 940900 953025 983040 993280 1006080 1016560 1073152 1129080 1191936 1204352 1219872 1228800 1232579 1241600 1257600 1270700 1310720 1341440 1411350 1489920 1505440 1524840 1572864 1589248 1609728 1626496 1638400 1676800 1806528 1862400 1881800 1906050 1966080 1986560 2012160 2033120 2146304 2258160 2383872 2408704 2439744 2457600 2465158 2483200 2515200 2541400 2621440 2682880 2822700 2979840 3010880 3049680 3178496 3219456 3252992 3276800 3353600 3613056 3697737 3724800 3763600 3812100 3932160 3973120 4024320 4066240 4292608 4516320 4767744 4817408 4879488 4915200 4930316 4966400 5030400 5082800 5365760 5645400 5959680 6021760 6099360 6162895 6356992 6438912 6505984 6553600 6707200 7226112 7395474 7449600 7527200 7624200 7864320 7946240 8048640 8132480 8585216 9032640 9535488 9634816 9758976 9830400 9860632 9932800 10060800 10165600 10731520 11290800 11919360 12043520 12198720 12325790 12713984 12877824 13011968 13107200 13414400 14452224 14790948 14899200 15054400 15248400 15892480 16097280 16264960 17170432 18065280 18488685 19070976 19269632 19517952 19660800 19721264 19865600 20121600 20331200 21463040 22581600 23838720 24087040 24397440 24651580 25427968 25755648 26023936 26828800 28904448 29581896 29798400 30108800 30496800 30814475 31784960 32194560 32529920 34340864 36130560 36977370 38141952 38539264 39035904 39321600 39442528 39731200 40243200 40662400 42926080 45163200 47677440 48174080 48794880 49303160 50855936 51511296 52047872 53657600 57808896 59163792 59596800 60217600 60993600 61628950 63569920 64389120 65059840 68681728 72261120 73954740 76283904 77078528 78071808 78885056 79462400 80486400 81324800 85852160 90326400 92443425 95354880 96348160 97589760 98606320 103022592 104095744 107315200 115617792 118327584 119193600 120435200 121987200 123257900 127139840 128778240 130119680 144522240 147909480 152567808 154157056 156143616 157770112 158924800 160972800 162649600 171704320 180652800 184886850 190709760 192696320 195179520 197212640 206045184 208191488 214630400 231235584 236655168 238387200 240870400 243974400 246515800 254279680 257556480 260239360 289044480 295818960 308314112 312287232 315540224 317849600 321945600 325299200 343408640 361305600 369773700 381419520 385392640 390359040 394425280 416382976 429260800 462471168 473310336 476774400 481740800 487948800 493031600 515112960 520478720 578088960 591637920 616628224 624574464 631080448 635699200 643891200 650598400 722611200 739547400 762839040 770785280 780718080 788850560 832765952 858521600 924942336 946620672 953548800 963481600 975897600 986063200 1030225920 1040957440 1156177920 1183275840 1233256448 1249148928 1262160896 1271398400 1287782400 1301196800 1445222400 1479094800 1541570560 1561436160 1577701120 1665531904 1717043200 1849884672 1893241344 1907097600 1926963200 1951795200 1972126400 2081914880 2312355840 2366551680 2466512896 2498297856 2524321792 2575564800 2602393600 2890444800 2958189600 3083141120 3122872320 3155402240 3331063808 3699769344 3786482688 3814195200 3853926400 3903590400 3944252800 4163829760 4624711680 4733103360 4933025792 4996595712 5048643584 5151129600 5204787200 5780889600 5916379200 6166282240 6245744640 6310804480 6662127616 7399538688 7572965376 7707852800 7807180800 7888505600 8327659520 9249423360 9466206720 9993191424 10097287168 10409574400 11561779200 11832758400 12332564480 12491489280 12621608960 14799077376 15145930752 15415705600 15614361600 15777011200 16655319040 18498846720 18932413440 19986382848 20194574336 20819148800 23123558400 23665516800 24665128960 24982978560 25243217920 30291861504 30831411200 31228723200 31554022400 33310638080 36997693440 37864826880 40389148672 41638297600 46247116800 47331033600 49965957120 50486435840 60583723008 61662822400 62457446400 63108044800 73995386880 75729653760 80778297344 83276595200 92494233600 94662067200 99931914240 100972871680 121167446016 123325644800 124914892800 126216089600 151459307520 161556594688 166553190400 184988467200 189324134400 201945743360 242334892032 249829785600 252432179200 302918615040 323113189376 369976934400 378648268800 403891486720 484669784064 499659571200 504864358400 605837230080 646226378752 757296537600 807782973440 969339568128 1009728716800 1211674460160 1514593075200 1615565946880 1938679136256 2019457433600 2423348920320 3029186150400 3231131893760 4038914867200 4846697840640 6058372300800 8077829734400 9693395681280 12116744601600 16155659468800 24233489203200 48466978406400
- Sum of all divisors σ(n): 163169359729200
- Sum of proper divisors (its aliquot sum) s(n): 114702381322800
- 48466978406400 is an abundant number, because the sum of its proper divisors (114702381322800) is greater than itself. Its abundance is 66235402916400
Bases of 48466978406400
- Binary: 10110000010100100110010000100000000000000000002
- Hexadecimal: 0x2C1499080000
- Base-36: H6HF7K9HC
Squares and roots of 48466978406400
- 48466978406400 squared (484669784064002) is 2349047995846443883560960000
- 48466978406400 cubed (484669784064003) is 113851258490286792594778404258054144000000
-
The
square root of 48466978406400 is 6961822.9226546691 -
The
cube root of 48466978406400 is 36459.8867272837
Scales and comparisons
How big is 48466978406400?- 48,466,978,406,400 seconds is equal to 1,541,099 years, 51 weeks, 5 days, 5 hours, 20 minutes.
-
To count from 1 to 48,466,978,406,400 would take you about three million, eight hundred fifty-two thousand, seven 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 48466978406400 cubic inches would be around 3038.3 feet tall.
Recreational maths with 48466978406400
- 48466978406400 backwards is 00460487966484
- The number of decimal digits it has is: 14
- The sum of 48466978406400's digits is 66
- 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 48466978406400 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
APA style:
Numbermatics. (2024). Number 48466978406400 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/48466978406400/
Chicago style:
Numbermatics. 2024. "Number 48466978406400 - Facts about the integer". https://numbermatics.com/n/48466978406400/
The information we have on file for 48466978406400 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 48466978406400, math, Factors of 48466978406400, curriculum, school, college, exams, university, Prime factorization of 48466978406400, STEM, science, technology, engineering, physics, economics, calculator, forty-eight trillion, four hundred sixty-six billion, nine hundred seventy-eight million, four hundred six thousand, four hundred.