107968397472000
107,968,397,472,000 is an even composite number composed of seven prime numbers multiplied together.
107968397472000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 107968397472000:
28 × 33 × 53 × 13 × 113 × 257 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 113 × 257 × 331)See below for interesting mathematical facts about the number 107968397472000 from the Numbermatics database.
Names of 107968397472000
- Cardinal: 107968397472000 can be written as One hundred seven trillion, nine hundred sixty-eight billion, three hundred ninety-seven million, four hundred seventy-two thousand.
Scientific notation
- Scientific notation: 1.07968397472 × 1014
Factors of 107968397472000
Divisors of 107968397472000
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 72 75 78 80 90 96 100 104 108 113 117 120 125 128 130 135 144 150 156 160 180 192 195 200 208 216 225 226 234 240 250 256 257 260 270 288 300 312 320 325 331 339 351 360 375 384 390 400 416 432 450 452 468 480 500 514 520 540 565 576 585 600 624 640 650 662 675 678 702 720 750 768 771 780 800 832 864 900 904 936 960 975 993 1000 1017 1028 1040 1080 1125 1130 1152 1170 1200 1248 1280 1285 1300 1324 1350 1356 1404 1440 1469 1500 1542 1560 1600 1625 1655 1664 1695 1728 1755 1800 1808 1872 1920 1950 1986 2000 2034 2056 2080 2160 2250 2260 2304 2313 2340 2400 2496 2570 2600 2648 2700 2712 2808 2825 2880 2925 2938 2979 3000 3051 3084 3120 3200 3250 3310 3328 3341 3375 3390 3456 3510 3600 3616 3744 3840 3855 3900 3972 4000 4068 4112 4160 4303 4320 4407 4500 4520 4626 4680 4800 4875 4965 4992 5085 5140 5200 5296 5400 5424 5616 5650 5760 5850 5876 5958 6000 6102 6168 6240 6400 6425 6500 6620 6682 6750 6780 6912 6939 7020 7200 7232 7345 7488 7710 7800 7944 8000 8136 8224 8275 8320 8475 8606 8640 8775 8814 8937 9000 9040 9252 9360 9600 9750 9930 9984 10023 10170 10280 10400 10592 10800 10848 11232 11300 11520 11565 11700 11752 11916 12000 12204 12336 12480 12850 12909 13000 13221 13240 13364 13500 13560 13878 14040 14125 14400 14464 14625 14690 14895 14976 15255 15420 15600 15888 16000 16272 16448 16550 16640 16705 16950 17212 17280 17550 17628 17874 18000 18080 18504 18720 19200 19275 19500 19860 20046 20340 20560 20800 21184 21515 21600 21696 22035 22464 22600 23130 23400 23504 23832 24000 24408 24672 24825 24960 25425 25700 25818 26000 26442 26480 26728 27000 27120 27756 28080 28250 28800 28928 29041 29250 29380 29790 29952 30069 30510 30840 31200 31776 32000 32125 32544 32896 33100 33410 33900 34424 34560 34695 35100 35256 35748 36000 36160 36725 37008 37403 37440 38550 38727 39000 39663 39720 40092 40680 41120 41375 41600 42368 42375 43030 43200 43392 43875 44070 44685 44928 45200 46260 46800 47008 47664 48000 48816 49344 49650 49920 50115 50850 51400 51636 52000 52884 52960 53456 54000 54240 55512 56160 56500 57600 57825 58082 58500 58760 59580 60138 61020 61680 62400 63552 64250 64545 65088 65792 66105 66200 66820 67800 68848 69390 70200 70512 71496 72000 72320 73450 74016 74475 74806 74880 76275 77100 77454 78000 79326 79440 80184 81360 82240 82750 83200 83525 84736 84750 85067 86060 86400 86784 87123 87750 88140 89370 89856 90207 90400 92520 93600 94016 95328 96000 96375 97632 98688 99300 100230 101700 102800 103272 104000 105768 105920 106912 107575 108000 108480 110175 111024 112209 112320 113000 115650 116164 116181 117000 117520 119160 120276 122040 123360 124125 124800 127104 127125 128500 129090 130176 132210 132400 133640 135600 137696 138780 140400 141024 142992 144000 144640 145205 146900 148032 148950 149612 149760 150345 152550 154200 154908 156000 158652 158880 160368 162720 164480 165500 167050 169500 170134 172120 172800 173475 174246 175500 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92280681600 93722567250 95547254400 95971908864 99970738400 103815766800 105027624000 106163616000 107968397472 108729504000 110736817920 112467080700 115350852000 119434068000 119964886080 124963423000 129769708500 134960496840 138421022400 140036832000 140583850875 143957863296 149956107600 153801136000 159245424000 159953181440 163094256000 166105226880 168700621050 173026278000 179947329120 184561363200 187445134500 191094508800 199941476800 207631533600 210055248000 215936794944 224934161400 230701704000 238868136000 239929772160 249926846000 259539417000 269920993680 276842044800 281167701750 287915726592 299912215200 307602272000 318490848000 326188512000 332210453760 337401242100 346052556000 359894658240 374890269000 399882953600 415263067200 420110496000 421751552625 431873589888 449868322800 461403408000 477736272000 479859544320 499853692000 519078834000 539841987360 553684089600 562335403500 599824430400 674802484200 692105112000 719789316480 749780538000 799765907200 830526134400 843503105250 863747179776 899736645600 922806816000 955472544000 999707384000 1038157668000 1079683974720 1124670807000 1199648860800 1349604968400 1384210224000 1439578632960 1499561076000 1661052268800 1687006210500 1799473291200 1999414768000 2076315336000 2159367949440 2249341614000 2399297721600 2699209936800 2768420448000 2999122152000 3374012421000 3598946582400 3998829536000 4152630672000 4318735898880 4498683228000 5398419873600 5998244304000 6748024842000 7197893164800 8305261344000 8997366456000 10796839747200 11996488608000 13496049684000 17994732912000 21593679494400 26992099368000 35989465824000 53984198736000 107968397472000
- Sum of all divisors σ(n): 435909331952640
- Sum of proper divisors (its aliquot sum) s(n): 327940934480640
- 107968397472000 is an abundant number, because the sum of its proper divisors (327940934480640) is greater than itself. Its abundance is 219972537008640
Bases of 107968397472000
- Binary: 110001000110010010110011111101001110001000000002
- Hexadecimal: 0x623259FA7100
- Base-36: 129RZW6YO0
Squares and roots of 107968397472000
- 107968397472000 squared (1079683974720002) is 11657174852671775990784000000
- 107968397472000 cubed (1079683974720003) is 1258606487893869351329113520898048000000000
-
The
square root of 107968397472000 is 10390784.2568306653 -
The
cube root of 107968397472000 is 47617.3861164441
Scales and comparisons
How big is 107968397472000?- 107,968,397,472,000 seconds is equal to 3,433,061 years, 3 weeks, 5 days.
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To count from 1 to 107,968,397,472,000 would take you about eight million, five hundred eighty-two thousand, six hundred fifty-two 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 107968397472000 cubic inches would be around 3968.1 feet tall.
Recreational maths with 107968397472000
- 107968397472000 backwards is 000274793869701
- The number of decimal digits it has is: 15
- The sum of 107968397472000's digits is 63
- More coming soon!
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The information we have on file for 107968397472000 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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