438006968000

Names of 438006968000

• Cardinal: 438006968000 can be written as Four hundred thirty-eight billion, six million, nine hundred sixty-eight thousand.

Scientific notation

• Scientific notation: 4.38006968 × 10¹¹

Factors of 438006968000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 821

Divisors of 438006968000

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 79 80 100 112 125 140 158 160 175 181 200 224 250 280 316 320 350 362 395 400 448 500 547 553 560 632 700 724 790 800 875 905 1000 1094 1106 1120 1264 1267 1400 1448 1580 1600 1750 1810 1975 2000 2188 2212 2240 2528 2534 2735 2765 2800 2896 3160 3500 3620 3829 3950 4000 4376 4424 4525 5056 5068 5470 5530 5600 5792 6320 6335 7000 7240 7658 7900 8000 8752 8848 9050 9875 10136 10940 11060 11200 11584 12640 12670 13675 13825 14000 14299 14480 15316 15800 17504 17696 18100 19145 19750 20272 21880 22120 22625 25280 25340 27350 27650 28000 28598 28960 30632 31600 31675 35008 35392 36200 38290 39500 40544 43213 43760 44240 45250 50680 54700 55300 56000 57196 57920 61264 63200 63350 68375 69125 71495 72400 76580 79000 81088 86426 87520 88480 90500 95725 99007 100093 101360 109400 110600 114392 122528 126400 126700 136750 138250 142990 144800 153160 158000 158375 172852 175040 176960 181000 191450 198014 200186 202720 216065 218800 221200 228784 245056 253400 273500 276500 285980 289600 302491 306320 316000 316750 345704 357475 362000 382900 396028 400372 405440 432130 437600 442400 457568 478625 495035 500465 506800 547000 553000 571960 604982 612640 632000 633500 691408 693049 714950 724000 765800 792056 800744 864260 875200 884800 915136 957250 990070 1000930 1013600 1080325 1094000 1106000 1143920 1209964 1225280 1267000 1382816 1386098 1429900 1448000 1512455 1531600 1584112 1601488 1728520 1787375 1914500 1980140 2001860 2027200 2160650 2188000 2212000 2287840 2419928 2475175 2502325 2534000 2765632 2772196 2859800 3024910 3063200 3168224 3202976 3457040 3465245 3574750 3829000 3960280 4003720 4321300 4376000 4424000 4575680 4839856 4950350 5004650 5068000 5401625 5544392 5719600 6049820 6126400 6336448 6405952 6914080 6930490 7149500 7562275 7658000 7821553 7920560 8007440 8642600 9679712 9900700 10009300 10136000 10803250 11088784 11439200 12099640 12375875 12511625 13828160 13860980 14299000 15124550 15316000 15643106 15841120 16014880 17285200 17326225 19359424 19801400 20018600 21606500 22177568 22878400 24199280 24751750 25023250 27721960 28598000 30249100 30632000 31286212 31682240 32029760 34570400 34652450 37811375 39107765 39602800 40037200 43213000 44355136 48398560 49503500 50046500 54750871 55443920 57196000 60498200 62572424 69140800 69304900 75622750 78215530 79205600 80074400 86426000 86631125 96797120 99007000 100093000 109501742 110887840 114392000 120996400 125144848 138609800 151245500 156431060 158411200 160148800 172852000 173262250 195538825 198014000 200186000 219003484 221775680 241992800 250289696 273754355 277219600 302491000 312862120 345704000 346524500 391077650 396028000 400372000 438006968 483985600 500579392 547508710 554439200 604982000 625724240 693049000 782155300 792056000 800744000 876013936 977694125 1095017420 1108878400 1209964000 1251448480 1368771775 1386098000 1564310600 1752027872 1955388250 2190034840 2419928000 2502896960 2737543550 2772196000 3128621200 3504055744 3910776500 4380069680 5475087100 5544392000 6257242400 6843858875 7821553000 8760139360 10950174200 12514484800 13687717750 15643106000 17520278720 21900348400 27375435500 31286212000 43800696800 54750871000 62572424000 87601393600 109501742000 219003484000 438006968000
• Sum of all divisors σ(n): 1264620564480
• Sum of proper divisors (its aliquot sum) s(n): 826613596480
• 438006968000 is an abundant number, because the sum of its proper divisors (826613596480) is greater than itself. Its abundance is 388606628480

Bases of 438006968000

• Binary: 110010111111011001111111110111011000000₂
• Hexadecimal: 0x65FB3FEEC0
• Base-36: 5L7U1FI8

Squares and roots of 438006968000

• 438006968000 squared (438006968000²) is 191850104016553024000000
• 438006968000 cubed (438006968000³) is 84031682370775011853471232000000000
• The square root of 438006968000 is 661820.9485956153
• The cube root of 438006968000 is 7594.4035900493

Scales and comparisons

• 438,006,968,000 seconds is equal to 13,927 years, 13 weeks, 6 days, 2 hours, 13 minutes, 20 seconds.
• To count from 1 to 438,006,968,000 would take you about twenty-seven thousand, eight hundred fifty-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 438006968000 cubic inches would be around 632.9 feet tall.

Recreational maths with 438006968000

• 438006968000 backwards is 000869600834
• The number of decimal digits it has is: 12
• The sum of 438006968000's digits is 44
• More coming soon!