138960480000
138,960,480,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138960480000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 720 divisors.
138960480000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 138960480000:
28 × 3 × 54 × 23 × 41 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 23 × 41 × 307)See below for interesting mathematical facts about the number 138960480000 from the Numbermatics database.
Names of 138960480000
- Cardinal: 138960480000 can be written as One hundred thirty-eight billion, nine hundred sixty million, four hundred eighty thousand.
Scientific notation
- Scientific notation: 1.3896048 × 1011
Factors of 138960480000
Divisors of 138960480000
- Number of divisors d(n): 720
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 40 41 46 48 50 60 64 69 75 80 82 92 96 100 115 120 123 125 128 138 150 160 164 184 192 200 205 230 240 246 250 256 276 300 307 320 328 345 368 375 384 400 410 460 480 492 500 552 575 600 614 615 625 640 656 690 736 750 768 800 820 920 921 943 960 984 1000 1025 1104 1150 1200 1228 1230 1250 1280 1312 1380 1472 1500 1535 1600 1640 1725 1840 1842 1875 1886 1920 1968 2000 2050 2208 2300 2400 2456 2460 2500 2624 2760 2829 2875 2944 3000 3070 3075 3200 3280 3450 3680 3684 3750 3772 3840 3936 4000 4100 4416 4600 4605 4715 4800 4912 4920 5000 5125 5248 5520 5658 5750 5888 6000 6140 6150 6400 6560 6900 7061 7360 7368 7500 7544 7675 7872 8000 8200 8625 8832 9200 9210 9430 9600 9824 9840 10000 10250 10496 11040 11316 11500 12000 12280 12300 12587 13120 13800 14122 14145 14375 14720 14736 15000 15088 15350 15375 15744 16000 16400 17250 17664 18400 18420 18860 19200 19648 19680 20000 20500 21183 22080 22632 23000 23025 23575 24000 24560 24600 25174 25625 26240 27600 28244 28290 28750 29440 29472 30000 30176 30700 30750 31488 32000 32800 34500 35305 36800 36840 37720 37761 38375 39296 39360 40000 41000 42366 43125 44160 45264 46000 46050 47150 48000 49120 49200 50348 51250 52480 55200 56488 56580 57500 58944 60000 60352 61400 61500 62935 65600 69000 70610 70725 73600 73680 75440 75522 76750 76875 78592 78720 80000 82000 84732 86250 88320 90528 92000 92100 94300 96000 98240 98400 100696 102500 105915 110400 112976 113160 115000 115125 117875 117888 120000 120704 122800 123000 125870 131200 138000 141220 141450 147200 147360 150880 151044 153500 153750 157440 160000 164000 169464 172500 176525 181056 184000 184200 188600 188805 191875 196480 196800 201392 205000 211830 220800 225952 226320 230000 230250 235750 235776 240000 241408 245600 246000 251740 262400 276000 282440 282900 289501 294720 301760 302088 307000 307500 314675 328000 338928 345000 353050 353625 362112 368000 368400 377200 377610 383750 392960 393600 402784 410000 423660 441600 451904 452640 460000 460500 471500 480000 491200 492000 503480 529575 552000 564880 565800 575625 579002 589375 589440 603520 604176 614000 615000 629350 656000 677856 690000 706100 707250 724224 736000 736800 754400 755220 767500 787200 805568 820000 847320 868503 882625 903808 905280 920000 921000 943000 944025 982400 984000 1006960 1059150 1104000 1129760 1131600 1151250 1158004 1178750 1178880 1207040 1208352 1228000 1230000 1258700 1312000 1355712 1380000 1412200 1414500 1447505 1473600 1508800 1510440 1535000 1573375 1611136 1640000 1694640 1737006 1765250 1768125 1807616 1810560 1840000 1842000 1886000 1888050 1964800 1968000 2013920 2118300 2208000 2259520 2263200 2302500 2316008 2357500 2416704 2456000 2460000 2517400 2647875 2711424 2760000 2824400 2829000 2895010 2947200 3017600 3020880 3070000 3146750 3222272 3280000 3389280 3474012 3530500 3536250 3621120 3680000 3684000 3772000 3776100 3936000 4027840 4236600 4342515 4413125 4519040 4526400 4605000 4632016 4715000 4720125 4833408 4912000 4920000 5034800 5295750 5422848 5520000 5648800 5658000 5790020 5894400 6035200 6041760 6140000 6293500 6560000 6778560 6948024 7061000 7072500 7237525 7368000 7544000 7552200 7866875 8055680 8473200 8685030 8826250 9038080 9052800 9210000 9264032 9430000 9440250 9666816 9824000 9840000 10069600 10591500 11040000 11297600 11316000 11580040 12083520 12280000 12587000 13239375 13557120 13896048 14122000 14145000 14475050 14736000 15088000 15104400 15733750 16111360 16946400 17370060 17652500 18105600 18420000 18528064 18860000 18880500 19680000 20139200 21183000 21712575 22595200 22632000 23160080 23600625 24167040 24560000 25174000 26478750 27114240 27792096 28244000 28290000 28950100 29472000 30176000 30208800 31467500 33892800 34740120 35305000 36187625 36840000 37056128 37720000 37761000 40278400 42366000 43425150 45190400 45264000 46320160 47201250 48334080 49120000 50348000 52957500 55584192 56488000 56580000 57900200 60417600 62935000 67785600 69480240 70610000 72375250 73680000 74112256 75440000 75522000 80556800 84732000 86850300 90528000 92640320 94402500 100696000 105915000 108562875 111168384 112976000 113160000 115800400 120835200 125870000 135571200 138960480 141220000 144750500 147360000 150880000 151044000 169464000 173700600 180938125 185280640 188805000 201392000 211830000 217125750 222336768 225952000 226320000 231600800 241670400 251740000 277920960 282440000 289501000 302088000 338928000 347401200 361876250 370561280 377610000 402784000 423660000 434251500 452640000 463201600 503480000 542814375 555841920 564880000 579002000 604176000 677856000 694802400 723752500 755220000 847320000 868503000 926403200 1006960000 1085628750 1111683840 1129760000 1158004000 1208352000 1389604800 1447505000 1510440000 1694640000 1737006000 1852806400 2013920000 2171257500 2316008000 2779209600 2895010000 3020880000 3389280000 3474012000 4342515000 4632016000 5558419200 5790020000 6041760000 6948024000 8685030000 9264032000 11580040000 13896048000 17370060000 23160080000 27792096000 34740120000 46320160000 69480240000 138960480000
- Sum of all divisors σ(n): 495613552896
- Sum of proper divisors (its aliquot sum) s(n): 356653072896
- 138960480000 is an abundant number, because the sum of its proper divisors (356653072896) is greater than itself. Its abundance is 217692592896
Bases of 138960480000
- Binary: 100000010110101011000010100111000000002
- Hexadecimal: 0x205AB0A700
- Base-36: 1RU5HCLC
Squares and roots of 138960480000
- 138960480000 squared (1389604800002) is 19310015001830400000000
- 138960480000 cubed (1389604800003) is 2683328953461553262592000000000000
-
The
square root of 138960480000 is 372774.0334304417 -
The
cube root of 138960480000 is 5179.6104913263
Scales and comparisons
How big is 138960480000?- 138,960,480,000 seconds is equal to 4,418 years, 26 weeks, 4 days, 21 hours, 20 minutes.
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To count from 1 to 138,960,480,000 would take you about eight thousand, eight hundred thirty-seven 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 138960480000 cubic inches would be around 431.6 feet tall.
Recreational maths with 138960480000
- 138960480000 backwards is 000084069831
- The number of decimal digits it has is: 12
- The sum of 138960480000's digits is 39
- More coming soon!
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The information we have on file for 138960480000 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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