3983968768000
3,983,968,768,000 is an even composite number composed of six prime numbers multiplied together.
3983968768000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred thirty-two divisors.
Prime factorization of 3983968768000:
212 × 53 × 13 × 17 × 137 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 17 × 137 × 257)See below for interesting mathematical facts about the number 3983968768000 from the Numbermatics database.
Names of 3983968768000
- Cardinal: 3983968768000 can be written as Three trillion, nine hundred eighty-three billion, nine hundred sixty-eight million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 3.983968768 × 1012
Factors of 3983968768000
Divisors of 3983968768000
- Number of divisors d(n): 832
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Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 32 34 40 50 52 64 65 68 80 85 100 104 125 128 130 136 137 160 170 200 208 221 250 256 257 260 272 274 320 325 340 400 416 425 442 500 512 514 520 544 548 640 650 680 685 800 832 850 884 1000 1024 1028 1040 1088 1096 1105 1280 1285 1300 1360 1370 1600 1625 1664 1700 1768 1781 2000 2048 2056 2080 2125 2176 2192 2210 2329 2560 2570 2600 2720 2740 3200 3250 3328 3341 3400 3425 3536 3562 4000 4096 4112 4160 4250 4352 4369 4384 4420 4658 5120 5140 5200 5440 5480 5525 6400 6425 6500 6656 6682 6800 6850 7072 7124 8000 8224 8320 8500 8704 8738 8768 8840 8905 9316 10240 10280 10400 10880 10960 11050 11645 12800 12850 13000 13312 13364 13600 13700 14144 14248 16000 16448 16640 16705 17000 17125 17408 17476 17536 17680 17810 18632 20480 20560 20800 21760 21845 21920 22100 23290 25600 25700 26000 26624 26728 27200 27400 27625 28288 28496 30277 32000 32125 32896 33280 33410 34000 34250 34816 34952 35072 35209 35360 35620 37264 41120 41600 43520 43690 43840 44200 44525 46580 51200 51400 52000 53248 53456 54400 54800 55250 56576 56797 56992 58225 60554 64000 64250 65792 66560 66820 68000 68500 69632 69904 70144 70418 70720 71240 74528 82240 83200 83525 87040 87380 87680 88400 89050 93160 102400 102800 104000 106912 108800 109225 109600 110500 113152 113594 113984 116450 121108 128000 128500 131584 133120 133640 136000 137000 139808 140288 140836 141440 142480 149056 151385 164480 166400 167050 174080 174760 175360 176045 176800 178100 186320 205600 208000 213824 217600 218450 219200 221000 222625 226304 227188 227968 232900 242216 256000 257000 263168 266240 267280 272000 274000 279616 280576 281672 282880 283985 284960 291125 298112 302770 328960 332800 334100 348160 349520 350720 352090 353600 356200 372640 411200 416000 417625 427648 435200 436900 438400 442000 445250 452608 454376 455936 457717 465800 484432 512000 514000 526336 534560 544000 546125 548000 559232 561152 563344 565760 567970 569920 582250 596224 598553 605540 657920 665600 668200 699040 701440 704180 707200 712400 745280 756925 822400 832000 835250 855296 870400 873800 876800 880225 884000 890500 905216 908752 911872 915434 931600 968864 1028000 1052672 1069120 1088000 1092250 1096000 1118464 1126688 1131520 1135940 1139840 1164500 1192448 1197106 1211080 1315840 1331200 1336400 1398080 1402880 1408360 1414400 1419925 1424800 1490560 1513850 1644800 1664000 1670500 1710592 1740800 1747600 1753600 1760450 1768000 1781000 1817504 1823744 1830868 1863200 1937728 2056000 2138240 2176000 2184500 2192000 2236928 2253376 2263040 2271880 2279680 2288585 2329000 2384896 2394212 2422160 2631680 2672800 2796160 2805760 2816720 2828800 2839850 2849600 2981120 2992765 3027700 3289600 3328000 3341000 3421184 3495200 3507200 3520900 3536000 3562000 3635008 3647488 3661736 3726400 3784625 3875456 4112000 4276480 4352000 4369000 4384000 4401125 4473856 4506752 4526080 4543760 4559360 4577170 4658000 4769792 4788424 4844320 5263360 5345600 5592320 5633440 5657600 5679700 5699200 5962240 5985530 6055400 6579200 6656000 6682000 6842368 6990400 7014400 7041800 7072000 7099625 7124000 7270016 7294976 7323472 7452800 7569250 7750912 7781189 8224000 8552960 8704000 8738000 8768000 8802250 8947712 9013504 9087520 9118720 9154340 9316000 9539584 9576848 9688640 10691200 11184640 11266880 11315200 11359400 11398400 11442925 11924480 11971060 12110800 13158400 13364000 13684736 13980800 14028800 14083600 14144000 14199250 14248000 14540032 14646944 14905600 14963825 15138500 15501824 15562378 16448000 17105920 17476000 17536000 17604500 17895424 18027008 18175040 18237440 18308680 18632000 19153696 19377280 21382400 22369280 22533760 22630400 22718800 22796800 22885850 23848960 23942120 24221600 26316800 26728000 27961600 28167200 28288000 28398500 28496000 29080064 29293888 29811200 29927650 30277000 31003648 31124756 32896000 34211840 34952000 35072000 35209000 36054016 36350080 36474880 36617360 37264000 38307392 38754560 38905945 42764800 44738560 45067520 45437600 45593600 45771700 47697920 47884240 48443200 53456000 55923200 56334400 56576000 56797000 56992000 57214625 58160128 58587776 59622400 59855300 60554000 62007296 62249512 65792000 68423680 69904000 70144000 70418000 72108032 72700160 73234720 74528000 74819125 76614784 77509120 77811890 85529600 89477120 90135040 90875200 91187200 91543400 95768480 96886400 106912000 111846400 112668800 113152000 113594000 113984000 114429250 116320256 117175552 119244800 119710600 121108000 124014592 124499024 131584000 139808000 140836000 144216064 145400320 146469440 149056000 149638250 153229568 155018240 155623780 171059200 180270080 181750400 182374400 183086800 191536960 193772800 194529725 213824000 223692800 225337600 227188000 227968000 228858500 232640512 234351104 238489600 239421200 242216000 248998048 279616000 281672000 290800640 292938880 298112000 299276500 306459136 310036480 311247560 342118400 360540160 363500800 366173600 383073920 387545600 389059450 427648000 447385600 450675200 454376000 455936000 457717000 468702208 478842400 484432000 497996096 559232000 563344000 581601280 585877760 596224000 598553000 612918272 620072960 622495120 721080320 727001600 732347200 766147840 775091200 778118900 855296000 901350400 908752000 911872000 915434000 937404416 957684800 968864000 972648625 995992192 1118464000 1126688000 1163202560 1171755520 1192448000 1197106000 1225836544 1244990240 1454003200 1464694400 1532295680 1550182400 1556237800 1710592000 1802700800 1817504000 1830868000 1874808832 1915369600 1937728000 1945297250 1991984384 2236928000 2253376000 2343511040 2394212000 2451673088 2489980480 2908006400 2929388800 3064591360 3100364800 3112475600 3605401600 3635008000 3661736000 3830739200 3875456000 3890594500 3983968768 4506752000 4687022080 4788424000 4979960960 5816012800 5858777600 6129182720 6224951200 7270016000 7323472000 7661478400 7750912000 7781189000 7967937536 9013504000 9374044160 9576848000 9959921920 11717555200 12258365440 12449902400 14540032000 14646944000 15322956800 15501824000 15562378000 15935875072 18027008000 19153696000 19919843840 23435110400 24899804800 29080064000 29293888000 30645913600 31124756000 31871750144 38307392000 39839687680 46870220800 49799609600 58587776000 61291827200 62249512000 76614784000 79679375360 99599219200 117175552000 124499024000 153229568000 159358750720 199198438400 234351104000 248998048000 306459136000 398396876800 497996096000 796793753600 995992192000 1991984384000 3983968768000
- Sum of all divisors σ(n): 11464651493568
- Sum of proper divisors (its aliquot sum) s(n): 7480682725568
- 3983968768000 is an abundant number, because the sum of its proper divisors (7480682725568) is greater than itself. Its abundance is 3496713957568
Bases of 3983968768000
- Binary: 1110011111100101110000101100010000000000002
- Hexadecimal: 0x39F970B1000
- Base-36: 1EU7K53B4
Squares and roots of 3983968768000
- 3983968768000 squared (39839687680002) is 15872007144399437824000000
- 3983968768000 cubed (39839687680003) is 63233580748760226407573880832000000000
-
The
square root of 3983968768000 is 1995988.1683016059 -
The
cube root of 3983968768000 is 15852.7754635717
Scales and comparisons
How big is 3983968768000?- 3,983,968,768,000 seconds is equal to 126,677 years, 45 weeks, 6 days, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 3,983,968,768,000 would take you about three hundred sixteen thousand, six hundred ninety-four 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 3983968768000 cubic inches would be around 1321.1 feet tall.
Recreational maths with 3983968768000
- 3983968768000 backwards is 0008678693893
- The number of decimal digits it has is: 13
- The sum of 3983968768000's digits is 67
- More coming soon!
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