6829912064000
6,829,912,064,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 6829912064000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 768 divisors.
6829912064000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 6829912064000:
215 × 53 × 192 × 31 × 149
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 19 × 19 × 31 × 149)See below for interesting mathematical facts about the number 6829912064000 from the Numbermatics database.
Names of 6829912064000
- Cardinal: 6829912064000 can be written as Six trillion, eight hundred twenty-nine billion, nine hundred twelve million, sixty-four thousand.
Scientific notation
- Scientific notation: 6.829912064 × 1012
Factors of 6829912064000
Divisors of 6829912064000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 8 10 16 19 20 25 31 32 38 40 50 62 64 76 80 95 100 124 125 128 149 152 155 160 190 200 248 250 256 298 304 310 320 361 380 400 475 496 500 512 589 596 608 620 640 722 745 760 775 800 950 992 1000 1024 1178 1192 1216 1240 1280 1444 1490 1520 1550 1600 1805 1900 1984 2000 2048 2356 2375 2384 2432 2480 2560 2831 2888 2945 2980 3040 3100 3200 3610 3725 3800 3875 3968 4000 4096 4619 4712 4750 4768 4864 4960 5120 5662 5776 5890 5960 6080 6200 6400 7220 7450 7600 7750 7936 8000 8192 9025 9238 9424 9500 9536 9728 9920 10240 11191 11324 11552 11780 11920 12160 12400 12800 14155 14440 14725 14900 15200 15500 15872 16000 16384 18050 18476 18625 18848 19000 19072 19456 19840 20480 22382 22648 23095 23104 23560 23840 24320 24800 25600 28310 28880 29450 29800 30400 31000 31744 32000 32768 36100 36952 37250 37696 38000 38144 38912 39680 40960 44764 45125 45296 46190 46208 47120 47680 48640 49600 51200 53789 55955 56620 57760 58900 59600 60800 62000 63488 64000 70775 72200 73625 73904 74500 75392 76000 76288 77824 79360 81920 87761 89528 90250 90592 92380 92416 94240 95360 97280 99200 102400 107578 111910 113240 115475 115520 117800 119200 121600 124000 126976 128000 141550 144400 147250 147808 149000 150784 152000 152576 155648 158720 163840 175522 179056 180500 181184 184760 184832 188480 190720 194560 198400 204800 215156 223820 226480 230950 231040 235600 238400 243200 248000 253952 256000 268945 279775 283100 288800 294500 295616 298000 301568 304000 305152 311296 317440 351044 353875 358112 361000 362368 369520 369664 376960 381440 389120 396800 409600 430312 438805 447640 452960 461900 462080 471200 476800 486400 496000 507904 512000 537890 559550 566200 577375 577600 589000 591232 596000 603136 608000 610304 622592 634880 702088 707750 716224 722000 724736 739040 739328 753920 762880 778240 793600 819200 860624 877610 895280 905920 923800 924160 942400 953600 972800 992000 1015808 1024000 1075780 1119100 1132400 1154750 1155200 1178000 1182464 1192000 1206272 1216000 1220608 1269760 1344725 1398875 1404176 1415500 1432448 1444000 1449472 1478080 1478656 1507840 1525760 1556480 1587200 1667459 1721248 1755220 1790560 1811840 1847600 1848320 1884800 1907200 1945600 1984000 2048000 2151560 2194025 2238200 2264800 2309500 2310400 2356000 2364928 2384000 2412544 2432000 2441216 2539520 2689450 2797750 2808352 2831000 2864896 2888000 2898944 2956160 2957312 3015680 3051520 3112960 3174400 3334918 3442496 3510440 3581120 3623680 3695200 3696640 3769600 3814400 3891200 3968000 4096000 4303120 4388050 4476400 4529600 4619000 4620800 4712000 4729856 4768000 4825088 4864000 4882432 5079040 5378900 5595500 5616704 5662000 5729792 5776000 5797888 5912320 5914624 6031360 6103040 6348800 6669836 6723625 6884992 7020880 7162240 7247360 7390400 7393280 7539200 7628800 7782400 7936000 8337295 8606240 8776100 8952800 9059200 9238000 9241600 9424000 9459712 9536000 9650176 9728000 10757800 10970125 11191000 11233408 11324000 11459584 11552000 11595776 11824640 11829248 12062720 12206080 12697600 13339672 13447250 13769984 14041760 14324480 14494720 14780800 14786560 15078400 15257600 15564800 15872000 16674590 17212480 17552200 17905600 18118400 18476000 18483200 18848000 18919424 19072000 19300352 19456000 21515600 21940250 22382000 22466816 22648000 22919168 23104000 23191552 23649280 24125440 24412160 25395200 26679344 26894500 27539968 28083520 28648960 28989440 29561600 29573120 30156800 30515200 31744000 33349180 34424960 35104400 35811200 36236800 36952000 36966400 37696000 37838848 38144000 38912000 41686475 43031200 43880500 44764000 44933632 45296000 45838336 46208000 46383104 47298560 48250880 53358688 53789000 55079936 56167040 57297920 57978880 59123200 59146240 60313600 61030400 63488000 66698360 68849920 70208800 71622400 72473600 73904000 73932800 75392000 75677696 76288000 77824000 83372950 86062400 87761000 89528000 89867264 90592000 91676672 92416000 92766208 94597120 96501760 106717376 107578000 110159872 112334080 114595840 115957760 118246400 120627200 122060800 126976000 133396720 137699840 140417600 143244800 144947200 147808000 147865600 150784000 151355392 152576000 166745900 172124800 175522000 179056000 179734528 181184000 183353344 184832000 189194240 208432375 213434752 215156000 220319744 224668160 229191680 231915520 236492800 241254400 266793440 275399680 280835200 286489600 289894400 295616000 295731200 301568000 305152000 333491800 344249600 351044000 358112000 359469056 362368000 366706688 369664000 378388480 416864750 426869504 430312000 440639488 449336320 458383360 463831040 472985600 482508800 533586880 550799360 561670400 572979200 579788800 591232000 603136000 610304000 666983600 688499200 702088000 716224000 718938112 724736000 739328000 756776960 833729500 853739008 860624000 881278976 898672640 916766720 945971200 1067173760 1101598720 1123340800 1145958400 1159577600 1182464000 1206272000 1333967200 1376998400 1404176000 1432448000 1437876224 1449472000 1478656000 1667459000 1707478016 1721248000 1762557952 1797345280 1833533440 1891942400 2134347520 2203197440 2246681600 2291916800 2319155200 2364928000 2412544000 2667934400 2753996800 2808352000 2864896000 2875752448 2898944000 3334918000 3414956032 3442496000 3594690560 3783884800 4268695040 4406394880 4493363200 4583833600 4729856000 5335868800 5507993600 5616704000 5729792000 5797888000 6669836000 6829912064 6884992000 7189381120 8537390080 8812789760 8986726400 9167667200 9459712000 10671737600 11015987200 11233408000 11459584000 11595776000 13339672000 13659824128 13769984000 14378762240 17074780160 17973452800 18919424000 21343475200 22031974400 22466816000 22919168000 26679344000 27319648256 27539968000 34149560320 35946905600 42686950400 44063948800 44933632000 45838336000 53358688000 54639296512 55079936000 68299120640 71893811200 85373900800 89867264000 106717376000 110159872000 136598241280 170747801600 179734528000 213434752000 220319744000 273196482560 341495603200 359469056000 426869504000 682991206400 853739008000 1365982412800 1707478016000 3414956032000 6829912064000
- Sum of all divisors σ(n): 18696663648000
- Sum of proper divisors (its aliquot sum) s(n): 11866751584000
- 6829912064000 is an abundant number, because the sum of its proper divisors (11866751584000) is greater than itself. Its abundance is 5036839520000
Bases of 6829912064000
- Binary: 11000110110001101100111101110000000000000002
- Hexadecimal: 0x636367B8000
- Base-36: 2F5M9ASJK
Squares and roots of 6829912064000
- 6829912064000 squared (68299120640002) is 46647698801972740096000000
- 6829912064000 cubed (68299120640003) is 318599680805431964580806918144000000000
-
The
square root of 6829912064000 is 2613410.0451326041 -
The
cube root of 6829912064000 is 18973.1032758385
Scales and comparisons
How big is 6829912064000?- 6,829,912,064,000 seconds is equal to 217,170 years, 4 weeks, 3 hours, 33 minutes, 20 seconds.
-
To count from 1 to 6,829,912,064,000 would take you about five hundred forty-two thousand, nine hundred twenty-five 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 6829912064000 cubic inches would be around 1581.1 feet tall.
Recreational maths with 6829912064000
- 6829912064000 backwards is 0004602199286
- The number of decimal digits it has is: 13
- The sum of 6829912064000's digits is 47
- More coming soon!
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