468935984000

Names of 468935984000

• Cardinal: 468935984000 can be written as Four hundred sixty-eight billion, nine hundred thirty-five million, nine hundred eighty-four thousand.

Scientific notation

• Scientific notation: 4.68935984 × 10¹¹

Factors of 468935984000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 192

Divisors of 468935984000

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 4 5 8 10 11 16 20 22 25 32 40 43 44 50 55 64 80 86 88 100 110 121 125 128 131 160 172 176 200 215 220 242 250 262 275 320 344 352 400 430 440 473 484 500 524 550 605 640 655 688 704 800 860 880 946 968 1000 1048 1075 1100 1210 1310 1375 1376 1408 1441 1600 1720 1760 1849 1892 1936 2000 2096 2150 2200 2365 2420 2620 2750 2752 2882 3025 3200 3275 3440 3520 3698 3784 3872 4000 4192 4300 4400 4730 4840 5203 5240 5375 5500 5504 5633 5764 6050 6550 6880 7040 7205 7396 7568 7744 8000 8384 8600 8800 9245 9460 9680 10406 10480 10750 11000 11266 11528 11825 12100 13100 13760 14410 14792 15125 15136 15488 15851 16000 16375 16768 17200 17600 18490 18920 19360 20339 20812 20960 21500 22000 22532 23056 23650 24200 26015 26200 27520 28165 28820 29584 30250 30272 31702 32750 34400 35200 36025 36980 37840 38720 40678 41624 41920 43000 44000 45064 46112 46225 47300 48400 52030 52400 56330 57640 59125 59168 60500 60544 61963 63404 65500 68800 72050 73960 75680 77440 79255 81356 83248 83840 86000 88000 90128 92224 92450 94600 96800 101695 104060 104800 112660 115280 118250 118336 121000 123926 126808 130075 131000 137600 140825 144100 147920 151360 158510 162712 166496 172000 176000 180125 180256 184448 184900 189200 193600 203390 208120 209600 223729 225320 230560 231125 236500 236672 242000 242219 247852 253616 260150 262000 281650 288200 295840 302720 309815 317020 325424 332992 344000 360250 360512 369800 378400 387200 396275 406780 416240 419200 447458 450640 461120 462250 473000 484000 484438 495704 507232 508475 520300 524000 563300 576400 591680 619630 634040 650375 650848 665984 681593 688000 704125 720500 721024 739600 756800 792550 813560 832480 894916 901280 922240 924500 946000 968000 968876 991408 1014464 1016950 1040600 1048000 1118645 1126600 1152800 1183360 1211095 1239260 1268080 1300750 1301696 1363186 1408250 1441000 1479200 1513600 1549075 1585100 1627120 1664960 1789832 1802560 1849000 1892000 1936000 1937752 1981375 1982816 2028928 2033900 2081200 2096000 2237290 2253200 2305600 2422190 2478520 2536160 2542375 2601500 2603392 2664409 2726372 2816500 2882000 2958400 3098150 3170200 3254240 3329920 3407965 3579664 3605120 3698000 3784000 3875504 3962750 3965632 4067800 4162400 4474580 4506400 4611200 4844380 4957040 5072320 5084750 5203000 5328818 5452744 5593225 5633000 5764000 5916800 6055475 6196300 6340400 6508480 6815930 7159328 7396000 7568000 7745375 7751008 7925500 7931264 8135600 8324800 8949160 9012800 9688760 9914080 10144640 10169500 10406000 10657636 10905488 11186450 11266000 11528000 12110950 12392600 12680800 13016960 13322045 13631860 14318656 14792000 15490750 15502016 15851000 16271200 16649600 17039825 17898320 18025600 19377520 19828160 20339000 20812000 21315272 21810976 22372900 22532000 23056000 24221900 24785200 25361600 26644090 27263720 27966125 28637312 29308499 29584000 30277375 30981500 31004032 31702000 32542400 34079650 35796640 38755040 39656320 40678000 41624000 42630544 43621952 44745800 45064000 48443800 49570400 50723200 53288180 54527440 55932250 58616998 60554750 61963000 63404000 65084800 66610225 68159300 71593280 77510080 81356000 83248000 85199125 85261088 87243904 89491600 90128000 96887600 99140800 106576360 109054880 111864500 117233996 121109500 123926000 126808000 133220450 136318600 143186560 146542495 155020160 162712000 170398250 170522176 178983200 193775200 198281600 213152720 218109760 223729000 234467992 242219000 247852000 253616000 266440900 272637200 293084990 325424000 333051125 340796500 341044352 357966400 387550400 426305440 436219520 447458000 468935984 484438000 495704000 532881800 545274400 586169980 666102250 681593000 715932800 732712475 775100800 852610880 894916000 937871968 968876000 991408000 1065763600 1090548800 1172339960 1332204500 1363186000 1465424950 1705221760 1789832000 1875743936 1937752000 2131527200 2181097600 2344679920 2664409000 2726372000 2930849900 3579664000 3663562375 3751487872 3875504000 4263054400 4689359840 5328818000 5452744000 5861699800 7327124750 8526108800 9378719680 10657636000 10905488000 11723399600 14654249500 18757439360 21315272000 23446799200 29308499000 42630544000 46893598400 58616998000 93787196800 117233996000 234467992000 468935984000
• Sum of all divisors σ(n): 1322028948240
• Sum of proper divisors (its aliquot sum) s(n): 853092964240
• 468935984000 is an abundant number, because the sum of its proper divisors (853092964240) is greater than itself. Its abundance is 384156980240

Bases of 468935984000

• Binary: 110110100101110110000110100001110000000₂
• Hexadecimal: 0x6D2EC34380
• Base-36: 5ZFCDKZK

Squares and roots of 468935984000

• 468935984000 squared (468935984000²) is 219900957090048256000000
• 468935984000 cubed (468935984000³) is 103119471695563555534843904000000000
• The square root of 468935984000 is 684789.0069211099
• The cube root of 468935984000 is 7769.1084988709

Scales and comparisons

• 468,935,984,000 seconds is equal to 14,910 years, 37 weeks, 19 hours, 33 minutes, 20 seconds.
• To count from 1 to 468,935,984,000 would take you about twenty-nine thousand, eight hundred twenty-one 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 468935984000 cubic inches would be around 647.4 feet tall.

Recreational maths with 468935984000

• 468935984000 backwards is 000489539864
• The number of decimal digits it has is: 12
• The sum of 468935984000's digits is 56
• More coming soon!