68013084672000
68,013,084,672,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 68013084672000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1920 divisors.
68013084672000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 68013084672000:
215 × 34 × 53 × 132 × 1213
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 1213)See below for interesting mathematical facts about the number 68013084672000 from the Numbermatics database.
Names of 68013084672000
- Cardinal: 68013084672000 can be written as Sixty-eight trillion, thirteen billion, eighty-four million, six hundred seventy-two thousand.
Scientific notation
- Scientific notation: 6.8013084672 × 1013
Factors of 68013084672000
Divisors of 68013084672000
- Number of divisors d(n): 1920
-
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 81 90 96 100 104 108 117 120 125 128 130 135 144 150 156 160 162 169 180 192 195 200 208 216 225 234 240 250 256 260 270 288 300 312 320 324 325 338 351 360 375 384 390 400 405 416 432 450 468 480 500 507 512 520 540 576 585 600 624 640 648 650 675 676 702 720 750 768 780 800 810 832 845 864 900 936 960 975 1000 1014 1024 1040 1053 1080 1125 1152 1170 1200 1213 1248 1280 1296 1300 1350 1352 1404 1440 1500 1521 1536 1560 1600 1620 1625 1664 1690 1728 1755 1800 1872 1920 1950 2000 2025 2028 2048 2080 2106 2160 2250 2304 2340 2400 2426 2496 2535 2560 2592 2600 2700 2704 2808 2880 2925 3000 3042 3072 3120 3200 3240 3250 3328 3375 3380 3456 3510 3600 3639 3744 3840 3900 4000 4050 4056 4096 4160 4212 4225 4320 4500 4563 4608 4680 4800 4852 4875 4992 5070 5120 5184 5200 5265 5400 5408 5616 5760 5850 6000 6065 6084 6144 6240 6400 6480 6500 6656 6750 6760 6912 7020 7200 7278 7488 7605 7680 7800 8000 8100 8112 8192 8320 8424 8450 8640 8775 9000 9126 9216 9360 9600 9704 9750 9984 10125 10140 10240 10368 10400 10530 10800 10816 10917 11232 11520 11700 12000 12130 12168 12288 12480 12675 12800 12960 13000 13312 13500 13520 13689 13824 14040 14400 14556 14625 14976 15210 15360 15600 15769 16000 16200 16224 16384 16640 16848 16900 17280 17550 18000 18195 18252 18432 18720 19200 19408 19500 19968 20250 20280 20480 20736 20800 21060 21125 21600 21632 21834 22464 22815 23040 23400 24000 24260 24336 24576 24960 25350 25600 25920 26000 26325 26624 27000 27040 27378 27648 28080 28800 29112 29250 29952 30325 30420 30720 31200 31538 32000 32400 32448 32751 32768 33280 33696 33800 34560 35100 36000 36390 36504 36864 37440 38025 38400 38816 39000 39936 40500 40560 40960 41472 41600 42120 42250 43200 43264 43668 43875 44928 45630 46080 46800 47307 48000 48520 48672 49152 49920 50700 51200 51840 52000 52650 53248 54000 54080 54585 54756 55296 56160 57600 58224 58500 59904 60650 60840 61440 62400 63076 63375 64000 64800 64896 65502 66560 67392 67600 68445 69120 70200 72000 72780 73008 73728 74880 76050 76800 77632 78000 78845 79872 81000 81120 81920 82944 83200 84240 84500 86400 86528 87336 87750 89856 90975 91260 92160 93600 94614 96000 97040 97344 98253 98304 99840 101400 102400 103680 104000 105300 106496 108000 108160 109170 109512 110592 112320 114075 115200 116448 117000 119808 121300 121680 122880 124800 126152 126750 128000 129600 129792 131004 131625 133120 134784 135200 136890 138240 140400 141921 144000 145560 146016 147456 149760 151625 152100 153600 155264 156000 157690 159744 162000 162240 163755 163840 165888 166400 168480 169000 172800 173056 174672 175500 179712 181950 182520 184320 187200 189228 190125 192000 194080 194688 196506 199680 202800 204800 204997 207360 208000 210600 212992 216000 216320 218340 219024 221184 224640 228150 230400 232896 234000 236535 239616 242600 243360 245760 249600 252304 253500 256000 259200 259584 262008 263250 266240 269568 270400 272925 273780 276480 280800 283842 288000 291120 292032 294912 299520 303250 304200 307200 310528 312000 315380 319488 324000 324480 327510 331776 332800 336960 338000 342225 345600 346112 349344 351000 359424 363900 365040 368640 374400 378456 380250 384000 388160 389376 393012 394225 399360 405600 409600 409994 414720 416000 421200 425763 425984 432000 432640 436680 438048 442368 449280 454875 456300 460800 465792 468000 473070 479232 485200 486720 491265 491520 499200 504608 507000 512000 518400 519168 524016 526500 532480 539136 540800 545850 547560 552960 561600 567684 570375 576000 582240 584064 599040 606500 608400 614400 614991 621056 624000 630760 638976 648000 648960 655020 663552 665600 673920 676000 684450 691200 692224 698688 702000 709605 718848 727800 730080 737280 748800 756912 760500 768000 776320 778752 786024 788450 798720 811200 818775 819200 819988 829440 832000 842400 851526 864000 865280 873360 876096 884736 898560 909750 912600 921600 931584 936000 946140 958464 970400 973440 982530 998400 1009216 1014000 1024000 1024985 1036800 1038336 1048032 1053000 1064960 1078272 1081600 1091700 1095120 1105920 1123200 1135368 1140750 1152000 1164480 1168128 1182675 1198080 1213000 1216800 1228800 1229982 1242112 1248000 1261520 1277289 1277952 1296000 1297920 1310040 1327104 1331200 1347840 1352000 1364625 1368900 1382400 1384448 1397376 1404000 1419210 1437696 1455600 1460160 1474560 1497600 1513824 1521000 1536000 1552640 1557504 1572048 1576900 1597440 1622400 1637550 1639976 1658880 1664000 1684800 1703052 1711125 1728000 1730560 1746720 1752192 1797120 1819500 1825200 1843200 1844973 1863168 1872000 1892280 1916928 1940800 1946880 1965060 1971125 1996800 2018432 2028000 2048000 2049970 2073600 2076672 2096064 2106000 2128815 2129920 2156544 2163200 2183400 2190240 2211840 2246400 2270736 2281500 2304000 2328960 2336256 2365350 2396160 2426000 2433600 2456325 2457600 2459964 2484224 2496000 2523040 2554578 2592000 2595840 2620080 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6230016000 6288192000 6297507840 6458982400 6539719680 6559904000 6641902800 6707404800 6717341696 6812208000 6975700992 7008768000 7084696320 7266355200 7379892000 7452672000 7557009408 7750778880 7871884800 8048885760 8073728000 8174649600 8302378500 8384256000 8396677120 8501635584 8719626240 8855870400 8943206400 9082944000 9345024000 9446261760 9688473600 9839856000 10061107200 10076012544 10218312000 10463551488 10495846400 10627044480 10899532800 11069838000 11179008000 11214028800 11335514112 11626168320 11807827200 12110592000 12576384000 12595015680 12917964800 13079439360 13119808000 13283805600 13414809600 13624416000 13951401984 14017536000 14169392640 14532710400 14759784000 14905344000 15114018816 15743769600 16097771520 16147456000 16349299200 16604757000 16768512000 16793354240 17003271168 17439252480 17711740800 18165888000 18690048000 18892523520 19376947200 19679712000 20122214400 20152025088 20436624000 20927102976 20991692800 21254088960 21799065600 22139676000 22358016000 22671028224 23252336640 23615654400 24221184000 25152768000 25190031360 26158878720 26239616000 26567611200 26829619200 27248832000 28035072000 28338785280 29065420800 29519568000 30228037632 31487539200 32294912000 32698598400 33209514000 33537024000 33586708480 34006542336 34878504960 35423481600 36331776000 37785047040 38753894400 39359424000 40244428800 40873248000 41854205952 41983385600 42508177920 43598131200 44279352000 44716032000 45342056448 47231308800 48442368000 50305536000 50380062720 52317757440 52479232000 53135222400 54497664000 56070144000 56677570560 58130841600 59039136000 60456075264 62975078400 64589824000 65397196800 66419028000 67074048000 68013084672 69757009920 70846963200 72663552000 75570094080 78718848000 80488857600 81746496000 83966771200 85016355840 87196262400 88558704000 90684112896 94462617600 96884736000 100611072000 100760125440 104635514880 104958464000 106270444800 108995328000 113355141120 116261683200 118078272000 125950156800 130794393600 132838056000 134148096000 136026169344 141693926400 145327104000 151140188160 157437696000 163492992000 167933542400 170032711680 174392524800 177117408000 181368225792 188925235200 193769472000 201222144000 209271029760 209916928000 212540889600 217990656000 226710282240 236156544000 251900313600 261588787200 265676112000 272052338688 283387852800 290654208000 302280376320 314875392000 326985984000 340065423360 348785049600 354234816000 377850470400 402444288000 419833856000 425081779200 435981312000 453420564480 472313088000 503800627200 523177574400 531352224000 544104677376 566775705600 581308416000 629750784000 653971968000 680130846720 708469632000 755700940800 839667712000 850163558400 871962624000 906841128960 944626176000 1046355148800 1062704448000 1133551411200 1259501568000 1307943936000 1360261693440 1416939264000 1511401881600 1700327116800 1743925248000 1889252352000 2125408896000 2267102822400 2519003136000 2615887872000 2720523386880 2833878528000 3400654233600 3778504704000 4250817792000 4534205644800 5231775744000 5667757056000 6801308467200 7557009408000 8501635584000 11335514112000 13602616934400 17003271168000 22671028224000 34006542336000 68013084672000
- Sum of all divisors σ(n): 274822982782920
- Sum of proper divisors (its aliquot sum) s(n): 206809898110920
- 68013084672000 is an abundant number, because the sum of its proper divisors (206809898110920) is greater than itself. Its abundance is 138796813438920
Bases of 68013084672000
- Binary: 11110111011011100001111100000010000000000000002
- Hexadecimal: 0x3DDB87C08000
- Base-36: O3WS2KG00
Squares and roots of 68013084672000
- 68013084672000 squared (680130846720002) is 4625779686600641347584000000
- 68013084672000 cubed (680130846720003) is 314613545498787043822734774632448000000000
-
The
square root of 68013084672000 is 8247004.5878488511 -
The
cube root of 68013084672000 is 40819.1688472633
Scales and comparisons
How big is 68013084672000?- 68,013,084,672,000 seconds is equal to 2,162,605 years, 37 weeks, 1 day.
-
To count from 1 to 68,013,084,672,000 would take you about five million, four hundred six thousand, five hundred fourteen 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 68013084672000 cubic inches would be around 3401.6 feet tall.
Recreational maths with 68013084672000
- 68013084672000 backwards is 00027648031086
- 68013084672000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 68013084672000's digits is 45
- More coming soon!
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The information we have on file for 68013084672000 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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