3984667688320
3,984,667,688,320 is an even composite number composed of seven prime numbers multiplied together.
3984667688320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 3984667688320:
27 × 5 × 112 × 17 × 292 × 59 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 11 × 17 × 29 × 29 × 59 × 61)See below for interesting mathematical facts about the number 3984667688320 from the Numbermatics database.
Names of 3984667688320
- Cardinal: 3984667688320 can be written as Three trillion, nine hundred eighty-four billion, six hundred sixty-seven million, six hundred eighty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 3.98466768832 × 1012
Factors of 3984667688320
Divisors of 3984667688320
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 4 5 8 10 11 16 17 20 22 29 32 34 40 44 55 58 59 61 64 68 80 85 88 110 116 118 121 122 128 136 145 160 170 176 187 220 232 236 242 244 272 290 295 305 319 320 340 352 374 440 464 472 484 488 493 544 580 590 605 610 638 640 649 671 680 704 748 841 880 928 935 944 968 976 986 1003 1037 1088 1160 1180 1210 1220 1276 1298 1342 1360 1408 1496 1595 1682 1711 1760 1769 1856 1870 1888 1936 1952 1972 2006 2057 2074 2176 2320 2360 2420 2440 2465 2552 2596 2684 2720 2992 3190 3245 3355 3364 3422 3509 3520 3538 3599 3712 3740 3776 3872 3904 3944 4012 4114 4148 4205 4640 4720 4840 4880 4930 5015 5104 5185 5192 5368 5423 5440 5984 6380 6490 6710 6728 6844 7018 7040 7076 7139 7198 7381 7480 7552 7744 7808 7888 8024 8228 8296 8410 8555 8845 9251 9280 9440 9680 9760 9860 10030 10208 10285 10370 10384 10736 10846 10880 11033 11407 11968 12760 12980 13420 13456 13688 14036 14152 14278 14297 14396 14762 14960 15488 15776 16048 16456 16592 16820 17110 17545 17690 17995 18502 18560 18821 18880 19360 19459 19520 19720 20060 20416 20570 20740 20768 21472 21692 22066 22814 23936 25520 25960 26840 26912 27115 27376 28072 28304 28556 28594 28792 29087 29524 29920 30073 31552 32096 32912 33184 33640 34220 35090 35380 35695 35990 36905 37004 37642 37760 38720 38918 39040 39440 39589 40120 40832 41140 41480 41536 42944 43384 44132 45628 46255 49619 51040 51301 51920 53680 53824 54230 54752 55165 56144 56608 57035 57112 57188 57584 58174 59048 59653 59840 60146 61183 63104 64192 65824 66368 67280 68440 70180 70760 71390 71485 71980 73810 74008 75284 77440 77836 78880 79178 80240 82280 82960 83072 85888 86768 88264 91256 92510 94105 97295 99238 101761 102080 102602 103840 104371 107360 107648 108460 109504 110330 112288 113216 114070 114224 114376 115168 116348 118096 119306 119680 120292 121363 122366 125477 128384 131648 132736 134560 136880 140360 141520 142780 142970 143960 145435 147620 148016 150365 150568 155672 157267 157760 158356 160480 164560 165920 173536 176528 182512 185020 188210 194590 197945 198476 203522 204160 205204 207031 207680 208742 214049 214720 216920 219008 220660 224576 226432 228140 228448 228752 230336 232696 236192 238612 240584 242726 244732 248095 250954 256505 263296 269120 273760 280720 283040 285560 285940 287920 290870 295240 296032 298265 300730 301136 305915 311344 314534 315520 316712 319957 320960 329120 330803 331840 347072 353056 365024 370040 376420 389180 395890 396952 407044 410408 414062 415360 417484 428098 429440 433840 435479 441320 449152 456280 456896 457504 460672 465392 472384 477224 481168 485452 489464 496190 501908 508805 513010 521855 538240 545809 547520 561440 564311 566080 571120 571880 575840 581740 590480 592064 596530 601460 602272 606815 611830 622688 627385 629068 633424 639914 641920 658240 661606 663680 673013 694144 706112 730048 740080 752840 778360 786335 791780 793904 814088 820816 828124 834968 843523 856196 867680 870958 872117 882640 912560 913792 915008 930784 944768 954448 962336 970904 978928 992380 1003816 1017610 1026020 1035155 1043710 1070245 1091618 1095040 1122880 1128622 1132160 1142240 1143760 1148081 1151680 1163480 1180960 1184128 1193060 1202920 1204544 1213630 1223660 1245376 1254770 1258136 1266848 1279828 1316480 1323212 1346026 1412224 1460096 1480160 1505680 1556720 1572670 1583560 1587808 1599785 1628176 1641632 1654015 1656248 1669936 1687046 1712392 1729937 1735360 1741916 1744234 1765280 1774307 1825120 1830016 1861568 1908896 1924672 1941808 1957856 1984760 2007632 2035220 2052040 2070310 2087420 2140490 2177395 2183236 2245760 2257244 2284480 2287520 2296162 2303360 2326960 2361920 2386120 2405840 2409088 2427260 2447320 2490752 2509540 2516272 2533696 2559656 2646424 2692052 2729045 2821555 2960320 3011360 3026759 3113440 3145340 3167120 3175616 3199570 3256352 3283264 3308030 3312496 3339872 3365065 3374092 3424784 3459874 3470720 3483832 3488468 3519527 3530560 3548614 3638833 3650240 3723136 3817792 3849344 3883616 3915712 3969520 4015264 4070440 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69863552 70390540 70972280 72231808 72776660 73477184 74031430 74230024 76746296 77672320 78069508 80305280 86145664 87329440 90289760 91846480 92787530 95932870 96062384 96856288 97586885 99318736 100650880 101031128 102066283 102386240 102909806 105526157 105856960 107682080 107970944 110715968 111630976 112624864 113555648 116442656 118450288 120077980 121070360 124148420 126288910 132499840 133177396 134963680 136991360 138394960 139353280 139538720 140781080 141944560 145553320 146954368 148062860 148460048 153492592 156139016 166471745 174658880 180579520 183692960 185575060 191865740 192124768 193712576 195173770 198637472 202062256 204132566 204772480 205819612 211052314 211713920 214691147 215364160 221431936 225249728 227111296 232885312 236900576 240155960 242140720 248296840 252577820 257274515 266354792 269927360 276789920 278706560 279077440 281562160 283889120 291106640 296125720 296920096 306985184 312278032 332943490 349317760 361159040 366237839 367385920 371150120 383731480 384249536 387425152 390347540 397274944 404124512 408265132 411639224 422104628 429382294 430728320 450499456 465770624 473801152 480311920 484281440 496593680 505155640 510331415 514549030 527630785 532709584 539854720 553579840 558154880 563124320 566003933 567778240 582213280 592251440 593840192 613970368 624556064 665886980 732475678 734771840 742300240 767462960 768499072 780695080 794549888 808249024 816530264 823278448 844209256 858764588 947602304 960623840 968562880 993187360 1010311280 1020662830 1029098060 1055261570 1065419168 1073455735 1107159680 1126248640 1132007866 1135556480 1164426560 1184502880 1187680384 1227940736 1249112128 1331773960 1464951356 1484600480 1534925920 1561390160 1616498048 1633060528 1646556896 1688418512 1717529176 1831189195 1921247680 1937125760 1986374720 2020622560 2041325660 2058196120 2110523140 2130838336 2146911470 2252497280 2264015732 2328853120 2369005760 2498224256 2663547920 2830019665 2929902712 2969200960 3069851840 3122780320 3266121056 3293113792 3376837024 3435058352 3662378390 3842495360 3972749440 4041245120 4082651320 4116392240 4221046280 4261676672 4293822940 4528031464 4738011520 5327095840 5660039330 5859805424 5938401920 6139703680 6226043263 6245560640 6532242112 6586227584 6753674048 6870116704 7324756780 8082490240 8165302640 8232784480 8442092560 8587645880 9056062928 10654191680 11320078660 11719610848 12452086526 12491121280 13064484224 13507348096 13740233408 14649513560 16330605280 16465568960 16884185120 17175291760 18112125856 21308383360 22640157320 23439221696 24904173052 27480466816 29299027120 31130216315 32661210560 32931137920 33768370240 34350583520 36224251712 45280314640 46878443392 49808346104 58598054240 62260432630 65322421120 67536740480 68701167040 72448503424 90560629280 99616692208 117196108480 124520865260 137402334080 181121258560 199233384416 234392216960 249041730520 362242517120 398466768832 498083461040 796933537664 996166922080 1992333844160 3984667688320
- Sum of all divisors σ(n): 11867976338400
- Sum of proper divisors (its aliquot sum) s(n): 7883308650080
- 3984667688320 is an abundant number, because the sum of its proper divisors (7883308650080) is greater than itself. Its abundance is 3898640961760
Bases of 3984667688320
- Binary: 1110011111110000001011001110111101100000002
- Hexadecimal: 0x39FC0B3BD80
- Base-36: 1EUJ49DOG
Squares and roots of 3984667688320
- 3984667688320 squared (39846676883202) is 15877576586341452664422400
- 3984667688320 cubed (39846676883203) is 63266866392420953074534709316026368000
-
The
square root of 3984667688320 is 1996163.2419018241 -
The
cube root of 3984667688320 is 15853.7024436501
Scales and comparisons
How big is 3984667688320?- 3,984,667,688,320 seconds is equal to 126,700 years, 5 weeks, 3 days, 23 hours, 38 minutes, 40 seconds.
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To count from 1 to 3,984,667,688,320 would take you about three hundred sixteen thousand, seven hundred fifty 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 3984667688320 cubic inches would be around 1321.1 feet tall.
Recreational maths with 3984667688320
- 3984667688320 backwards is 0238867664893
- The number of decimal digits it has is: 13
- The sum of 3984667688320's digits is 70
- More coming soon!
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The information we have on file for 3984667688320 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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