48080145612800
48,080,145,612,800 is an even composite number composed of five prime numbers multiplied together.
48080145612800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 48080145612800:
227 × 52 × 7 × 23 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 23 × 89)See below for interesting mathematical facts about the number 48080145612800 from the Numbermatics database.
Names of 48080145612800
- Cardinal: 48080145612800 can be written as Forty-eight trillion, eighty billion, one hundred forty-five million, six hundred twelve thousand, eight hundred.
Scientific notation
- Scientific notation: 4.80801456128 × 1013
Factors of 48080145612800
Divisors of 48080145612800
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 23 25 28 32 35 40 46 50 56 64 70 80 89 92 100 112 115 128 140 160 161 175 178 184 200 224 230 256 280 320 322 350 356 368 400 445 448 460 512 560 575 623 640 644 700 712 736 800 805 890 896 920 1024 1120 1150 1246 1280 1288 1400 1424 1472 1600 1610 1780 1792 1840 2047 2048 2225 2240 2300 2492 2560 2576 2800 2848 2944 3115 3200 3220 3560 3584 3680 4025 4094 4096 4450 4480 4600 4984 5120 5152 5600 5696 5888 6230 6400 6440 7120 7168 7360 8050 8188 8192 8900 8960 9200 9968 10235 10240 10304 11200 11392 11776 12460 12800 12880 14240 14329 14336 14720 15575 16100 16376 16384 17800 17920 18400 19936 20470 20480 20608 22400 22784 23552 24920 25600 25760 28480 28658 28672 29440 31150 32200 32752 32768 35600 35840 36800 39872 40940 40960 41216 44800 45568 47104 49840 51175 51200 51520 56960 57316 57344 58880 62300 64400 65504 65536 71200 71645 71680 73600 79744 81880 81920 82432 89600 91136 94208 99680 102350 102400 103040 113920 114632 114688 117760 124600 128800 131008 131072 142400 143290 143360 147200 159488 163760 163840 164864 179200 182272 188416 199360 204700 204800 206080 227840 229264 229376 235520 249200 257600 262016 262144 284800 286580 286720 294400 318976 327520 327680 329728 358225 358400 364544 376832 398720 409400 409600 412160 455680 458528 458752 471040 498400 515200 524032 524288 569600 573160 573440 588800 637952 655040 655360 659456 716450 716800 729088 753664 797440 818800 819200 824320 911360 917056 917504 942080 996800 1030400 1048064 1048576 1139200 1146320 1146880 1177600 1275904 1310080 1310720 1318912 1432900 1433600 1458176 1507328 1594880 1637600 1638400 1648640 1822720 1834112 1835008 1884160 1993600 2060800 2096128 2097152 2278400 2292640 2293760 2355200 2551808 2620160 2621440 2637824 2865800 2867200 2916352 3014656 3189760 3275200 3276800 3297280 3645440 3668224 3670016 3768320 3987200 4121600 4192256 4194304 4556800 4585280 4587520 4710400 5103616 5240320 5242880 5275648 5731600 5734400 5832704 6029312 6379520 6550400 6553600 6594560 7290880 7336448 7340032 7536640 7974400 8243200 8384512 8388608 9113600 9170560 9175040 9420800 10207232 10480640 10485760 10551296 11463200 11468800 11665408 12058624 12759040 13100800 13107200 13189120 14581760 14672896 14680064 15073280 15948800 16486400 16769024 16777216 18227200 18341120 18350080 18841600 20414464 20961280 20971520 21102592 22926400 22937600 23330816 24117248 25518080 26201600 26214400 26378240 29163520 29345792 29360128 30146560 31897600 32972800 33538048 33554432 36454400 36682240 36700160 37683200 40828928 41922560 41943040 42205184 45852800 45875200 46661632 48234496 51036160 52403200 52428800 52756480 58327040 58691584 58720256 60293120 63795200 65945600 67076096 67108864 72908800 73364480 73400320 75366400 81657856 83845120 83886080 84410368 91705600 91750400 93323264 96468992 102072320 104806400 104857600 105512960 116654080 117383168 117440512 120586240 127590400 131891200 134152192 134217728 145817600 146728960 146800640 150732800 163315712 167690240 167772160 168820736 183411200 183500800 186646528 192937984 204144640 209612800 209715200 211025920 233308160 234766336 234881024 241172480 255180800 263782400 268304384 291635200 293457920 293601280 301465600 326631424 335380480 335544320 337641472 366822400 367001600 373293056 385875968 408289280 419225600 419430400 422051840 466616320 469532672 469762048 482344960 510361600 527564800 536608768 583270400 586915840 587202560 602931200 653262848 670760960 671088640 675282944 733644800 734003200 746586112 771751936 816578560 838451200 838860800 844103680 933232640 939065344 939524096 964689920 1020723200 1055129600 1073217536 1166540800 1173831680 1174405120 1205862400 1306525696 1341521920 1350565888 1467289600 1468006400 1493172224 1543503872 1633157120 1676902400 1677721600 1688207360 1866465280 1878130688 1929379840 2041446400 2110259200 2146435072 2333081600 2347663360 2348810240 2411724800 2613051392 2683043840 2701131776 2934579200 2936012800 2986344448 3087007744 3266314240 3353804800 3355443200 3376414720 3732930560 3756261376 3858759680 4082892800 4220518400 4292870144 4666163200 4695326720 4697620480 4823449600 5226102784 5366087680 5402263552 5869158400 5872025600 5972688896 6532628480 6707609600 6752829440 7465861120 7512522752 7717519360 8165785600 8441036800 8585740288 9332326400 9390653440 9646899200 10452205568 10732175360 10804527104 11738316800 11744051200 11945377792 13065256960 13415219200 13505658880 14931722240 15025045504 15435038720 16331571200 16882073600 17171480576 18664652800 18781306880 19293798400 20904411136 21464350720 21609054208 23476633600 23488102400 26130513920 26830438400 27011317760 29863444480 30050091008 32663142400 33764147200 34342961152 37329305600 37562613760 38587596800 41808822272 42928701440 46953267200 52261027840 53660876800 54022635520 59726888960 60100182016 65326284800 67528294400 68685922304 74658611200 75125227520 77175193600 83617644544 85857402880 93906534400 104522055680 107321753600 108045271040 120200364032 130652569600 135056588800 137371844608 149317222400 150250455040 171714805760 187813068800 209044111360 214643507200 240400728064 261305139200 270113177600 274743689216 298634444800 300500910080 343429611520 375626137600 418088222720 429287014400 480801456128 522610278400 540226355200 601001820160 686859223040 751252275200 858574028800 961602912256 1045220556800 1202003640320 1373718446080 1502504550400 1717148057600 1923205824512 2090441113600 2404007280640 3005009100800 3434296115200 4808014561280 6010018201600 6868592230400 9616029122560 12020036403200 24040072806400 48080145612800
- Sum of all divisors σ(n): 143795504534400
- Sum of proper divisors (its aliquot sum) s(n): 95715358921600
- 48080145612800 is an abundant number, because the sum of its proper divisors (95715358921600) is greater than itself. Its abundance is 47635213308800
Bases of 48080145612800
- Binary: 10101110111010100010000000000000000000000000002
- Hexadecimal: 0x2BBA88000000
- Base-36: H1JPPAZNK
Squares and roots of 48080145612800
- 48080145612800 squared (480801456128002) is 2311700402148051087523840000
- 48080145612800 cubed (480801456128003) is 111146891948446614191879624591409152000000
-
The
square root of 48080145612800 is 6933984.8292882787 -
The
cube root of 48080145612800 is 36362.6275876663
Scales and comparisons
How big is 48080145612800?- 48,080,145,612,800 seconds is equal to 1,528,799 years, 47 weeks, 1 day, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 48,080,145,612,800 would take you about three million, eight hundred twenty-one thousand, nine hundred ninety-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 48080145612800 cubic inches would be around 3030.2 feet tall.
Recreational maths with 48080145612800
- 48080145612800 backwards is 00821654108084
- The number of decimal digits it has is: 14
- The sum of 48080145612800's digits is 47
- More coming soon!
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