981463968000
981,463,968,000 is an even composite number composed of six prime numbers multiplied together.
981463968000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 981463968000:
28 × 32 × 53 × 31 × 211 × 521
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 31 × 211 × 521)See below for interesting mathematical facts about the number 981463968000 from the Numbermatics database.
Names of 981463968000
- Cardinal: 981463968000 can be written as Nine hundred eighty-one billion, four hundred sixty-three million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 9.81463968 × 1011
Factors of 981463968000
Divisors of 981463968000
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 31 32 36 40 45 48 50 60 62 64 72 75 80 90 93 96 100 120 124 125 128 144 150 155 160 180 186 192 200 211 225 240 248 250 256 279 288 300 310 320 360 372 375 384 400 422 450 465 480 496 500 521 558 576 600 620 633 640 720 744 750 768 775 800 844 900 930 960 992 1000 1042 1055 1116 1125 1152 1200 1240 1266 1280 1395 1440 1488 1500 1550 1563 1600 1688 1800 1860 1899 1920 1984 2000 2084 2110 2232 2250 2304 2325 2400 2480 2532 2605 2790 2880 2976 3000 3100 3126 3165 3200 3376 3600 3720 3798 3840 3875 3968 4000 4168 4220 4464 4500 4650 4689 4800 4960 5064 5210 5275 5580 5760 5952 6000 6200 6252 6330 6400 6541 6752 6975 7200 7440 7596 7750 7815 7936 8000 8336 8440 8928 9000 9300 9378 9495 9600 9920 10128 10420 10550 11160 11520 11625 11904 12000 12400 12504 12660 13025 13082 13504 13950 14400 14880 15192 15500 15630 15825 16000 16151 16672 16880 17856 18000 18600 18756 18990 19200 19623 19840 20256 20840 21100 22320 23250 23445 23808 24000 24800 25008 25320 26050 26164 26375 27008 27900 28800 29760 30384 31000 31260 31650 32000 32302 32705 33344 33760 34875 35712 36000 37200 37512 37980 39075 39246 39680 40512 41680 42200 44640 46500 46890 47475 48000 48453 49600 50016 50640 52100 52328 52750 54016 55800 57600 58869 59520 60768 62000 62520 63300 64604 65125 65410 66688 67520 69750 71424 72000 74400 75024 75960 78150 78492 79125 80755 81024 83360 84400 89280 93000 93780 94950 96000 96906 98115 99200 100032 101280 104200 104656 105500 109931 111600 117225 117738 119040 121536 124000 125040 126600 129208 130250 130820 133376 135040 139500 144000 145359 148800 150048 151920 156300 156984 158250 161510 162048 163525 166720 168800 178560 186000 187560 189900 193812 195375 196230 198400 200064 202560 208400 209312 211000 219862 223200 234450 235476 237375 242265 243072 248000 250080 253200 258416 260500 261640 270080 279000 288000 290718 294345 297600 300096 303840 312600 313968 316500 323020 327050 329793 333440 337600 357120 372000 375120 379800 387624 390750 392460 400128 403775 405120 416800 418624 422000 439724 446400 468900 470952 474750 484530 486144 490575 496000 500160 506400 516832 521000 523280 549655 558000 581436 586125 588690 595200 600192 607680 625200 627936 633000 646040 654100 659586 666880 675200 726795 744000 750240 759600 775248 781500 784920 807550 810240 817625 833600 837248 844000 879448 892800 937800 941904 949500 969060 981150 989379 992000 1000320 1012800 1033664 1042000 1046560 1099310 1116000 1162872 1172250 1177380 1200384 1211325 1215360 1250400 1255872 1266000 1292080 1308200 1319172 1350400 1453590 1471725 1488000 1500480 1519200 1550496 1563000 1569840 1615100 1635250 1648965 1667200 1674496 1688000 1758896 1785600 1875600 1883808 1899000 1938120 1962300 1978758 2000640 2018875 2025600 2067328 2084000 2093120 2198620 2232000 2325744 2344500 2354760 2422650 2430720 2452875 2500800 2511744 2532000 2584160 2616400 2638344 2748275 2907180 2943450 2976000 3000960 3038400 3100992 3126000 3139680 3230200 3270500 3297930 3334400 3376000 3407861 3517792 3633975 3751200 3767616 3798000 3876240 3924600 3957516 4037750 4051200 4134656 4168000 4186240 4397240 4464000 4651488 4689000 4709520 4845300 4905750 4946895 5001600 5023488 5064000 5168320 5232800 5276688 5496550 5814360 5886900 6001920 6056625 6076800 6201984 6252000 6279360 6460400 6541000 6595860 6752000 6815722 7035584 7267950 7358625 7502400 7535232 7596000 7752480 7849200 7915032 8075500 8244825 8336000 8372480 8794480 8928000 9302976 9378000 9419040 9690600 9811500 9893790 10003200 10128000 10223583 10336640 10465600 10553376 10993100 11628720 11773800 12113250 12153600 12403968 12504000 12558720 12920800 13082000 13191720 13631444 13741375 14071168 14535900 14717250 15004800 15070464 15192000 15504960 15698400 15830064 16151000 16489650 16672000 17039305 17588960 18169875 18605952 18756000 18838080 19381200 19623000 19787580 20256000 20447166 20673280 20931200 21106752 21986200 23257440 23547600 24226500 24734475 25008000 25117440 25841600 26164000 26383440 27262888 27482750 28142336 29071800 29434500 30009600 30384000 30670749 31009920 31396800 31660128 32302000 32979300 34078610 35177920 36339750 37211904 37512000 37676160 38762400 39246000 39575160 40894332 41224125 41862400 42213504 43972400 46514880 47095200 48453000 49468950 50016000 51117915 51683200 52328000 52766880 54525776 54965500 58143600 58869000 60768000 61341498 62019840 62793600 63320256 64604000 65958600 68157220 70355840 72679500 75024000 75352320 77524800 78492000 79150320 81788664 82448250 84427008 85196525 87944800 93029760 94190400 96906000 98937900 102235830 103366400 104656000 105533760 109051552 109931000 116287200 117738000 122682996 123672375 125587200 126640512 129208000 131917200 136314440 140711680 145359000 150048000 153353745 155049600 156984000 158300640 163577328 164896500 170393050 175889600 186059520 188380800 193812000 197875800 204471660 209312000 211067520 218103104 219862000 232574400 235476000 245365992 247344750 253281024 255589575 258416000 263834400 272628880 290718000 306707490 310099200 313968000 316601280 327154656 329793000 340786100 351779200 376761600 387624000 395751600 408943320 422135040 425982625 436206208 439724000 465148800 470952000 490731984 494689500 511179150 516832000 527668800 545257760 581436000 613414980 627936000 633202560 654309312 659586000 681572200 703558400 766768725 775248000 791503200 817886640 851965250 872412416 879448000 930297600 941904000 981463968 989379000 1022358300 1055337600 1090515520 1162872000 1226829960 1266405120 1277947875 1308618624 1319172000 1363144400 1533537450 1550496000 1583006400 1635773280 1703930500 1758896000 1883808000 1962927936 1978758000 2044716600 2110675200 2181031040 2325744000 2453659920 2555895750 2617237248 2638344000 2726288800 3067074900 3166012800 3271546560 3407861000 3517792000 3833843625 3925855872 3957516000 4089433200 4362062080 4651488000 4907319840 5111791500 5276688000 5452577600 6134149800 6332025600 6543093120 6815722000 7667687250 7851711744 7915032000 8178866400 9814639680 10223583000 10553376000 10905155200 12268299600 13086186240 13631444000 15335374500 15830064000 16357732800 19629279360 20447166000 21810310400 24536599200 27262888000 30670749000 31660128000 32715465600 39258558720 40894332000 49073198400 54525776000 61341498000 65430931200 81788664000 98146396800 109051552000 122682996000 163577328000 196292793600 245365992000 327154656000 490731984000 981463968000
- Sum of all divisors σ(n): 3669823632384
- Sum of proper divisors (its aliquot sum) s(n): 2688359664384
- 981463968000 is an abundant number, because the sum of its proper divisors (2688359664384) is greater than itself. Its abundance is 1706895696384
Bases of 981463968000
- Binary: 11100100100000111100111110101001000000002
- Hexadecimal: 0xE483CFA900
- Base-36: CIVMB0G0
Squares and roots of 981463968000
- 981463968000 squared (9814639680002) is 963271520482305024000000
- 981463968000 cubed (9814639680003) is 945416288753956362641375232000000000
-
The
square root of 981463968000 is 990688.6332243849 -
The
cube root of 981463968000 is 9937.8274855885
Scales and comparisons
How big is 981463968000?- 981,463,968,000 seconds is equal to 31,207 years, 26 weeks, 6 days, 16 hours.
-
To count from 1 to 981,463,968,000 would take you about sixty-two thousand, four hundred fifteen 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 981463968000 cubic inches would be around 828.2 feet tall.
Recreational maths with 981463968000
- 981463968000 backwards is 000869364189
- The number of decimal digits it has is: 12
- The sum of 981463968000's digits is 54
- More coming soon!
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