10638819116400

Names of 10638819116400

• Cardinal: 10638819116400 can be written as Ten trillion, six hundred thirty-eight billion, eight hundred nineteen million, one hundred sixteen thousand, four hundred.

Scientific notation

• Scientific notation: 1.06388191164 × 10¹³

Factors of 10638819116400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 17602

Divisors of 10638819116400

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 29 30 34 40 48 50 51 58 60 68 75 80 85 87 100 102 116 120 136 145 150 170 174 200 204 232 240 255 272 290 300 340 348 400 408 425 435 464 493 510 580 600 680 696 725 816 850 870 986 1020 1093 1160 1200 1275 1360 1392 1450 1479 1700 1740 1972 2040 2175 2186 2320 2465 2550 2900 2958 3279 3400 3480 3944 4080 4350 4372 4930 5100 5465 5800 5916 6558 6800 6960 7395 7888 8700 8744 9860 10200 10930 11600 11832 12325 13116 14790 16395 16453 17400 17488 18581 19720 20400 21860 23664 24650 26232 27325 29580 31697 32790 32906 34800 36975 37162 39440 43720 49300 49359 52464 54650 55743 59160 63394 65580 65812 73950 74324 81975 82265 87440 92905 95091 98600 98718 109300 111486 118320 126788 131160 131624 147900 148648 158485 163950 164530 185810 190182 197200 197436 218600 222972 246795 253576 262320 263248 278715 279701 295800 297296 316970 327900 329060 371620 380364 394872 411325 437200 445944 464525 475455 477137 493590 507152 538849 557430 559402 591600 633940 655800 658120 743240 760728 789744 792425 822650 839103 891888 929050 950910 954274 987180 1077698 1114860 1118804 1233975 1267880 1311600 1316240 1393575 1398505 1431411 1486480 1521456 1584850 1616547 1645300 1678206 1858100 1901820 1908548 1974360 2155396 2229720 2237608 2377275 2385685 2467950 2535760 2694245 2787150 2797010 2862822 3169700 3233094 3290600 3356412 3716200 3803640 3817096 3948720 4195515 4310792 4459440 4475216 4754550 4771370 4935900 5388490 5574300 5594020 5725644 6339400 6466188 6581200 6712824 6992525 7157055 7432400 7607280 7634192 8082735 8111329 8391030 8621584 9509100 9542740 9871800 10776980 11148600 11188040 11451288 11928425 12678800 12932376 13425648 13471225 13985050 14314110 16165470 16222658 16782060 17983129 19018200 19085480 19743600 20977575 21553960 22297200 22376080 22902576 23856850 24333987 25864752 26942450 27970100 28628220 32330940 32445316 33564120 35785275 35966258 38036400 38170960 40413675 40556645 41955150 43107920 47713700 48667974 53884900 53949387 55940200 57256440 64661880 64890632 67128240 71570550 71932516 80827350 81113290 83910300 89915645 95427400 97335948 107769800 107898774 111880400 114512880 121669935 129323760 129781264 143141100 143865032 161654700 162226580 167820600 179831290 190854800 194671896 202783225 215539600 215797548 243339870 269746935 286282200 287730064 305713193 323309400 324453160 335641200 359662580 389343792 405566450 431595096 449578225 486679740 521510741 539493870 572564400 608349675 611426386 646618800 648906320 719325160 811132900 863190192 899156450 917139579 973359480 1043021482 1078987740 1216699350 1222852772 1348734675 1438650320 1528565965 1564532223 1622265800 1798312900 1834279158 1946718960 2086042964 2157975480 2433398700 2445705544 2607553705 2697469350 3057131930 3129064446 3244531600 3596625800 3668558316 4172085928 4315950960 4585697895 4866797400 4891411088 5215107410 5394938700 6114263860 6258128892 7193251600 7337116632 7642829825 7822661115 8344171856 8865682597 9171395790 9733594800 10430214820 10789877400 12228527720 12516257784 13037768525 14674233264 15285659650 15645322230 17731365194 18342791580 20860429640 21579754800 22928489475 24457055440 25032515568 26075537050 26597047791 30571319300 31290644460 35462730388 36685583160 39113305575 41720859280 44328412985 45856978950 52151074100 53194095582 61142638600 62581288920 70925460776 73371166320 78226611150 88656825970 91713957900 104302148200 106388191164 122285277200 125162577840 132985238955 141850921552 156453222300 177313651940 183427915800 208604296400 212776382328 221642064925 265970477910 312906444600 354627303880 366855831600 425552764656 443284129850 531940955820 625812889200 664926194775 709254607760 886568259700 1063881911640 1329852389550 1773136519400 2127763823280 2659704779100 3546273038800 5319409558200 10638819116400
• Sum of all divisors σ(n): 37365083213760
• Sum of proper divisors (its aliquot sum) s(n): 26726264097360
• 10638819116400 is an abundant number, because the sum of its proper divisors (26726264097360) is greater than itself. Its abundance is 16087444980960

Bases of 10638819116400

• Binary: 10011010110100001011000010001100010101110000₂
• Hexadecimal: 0x9AD0B08C570
• Base-36: 3RREM7RLC

Squares and roots of 10638819116400

• 10638819116400 squared (10638819116400²) is 113184472191478076748960000
• 10638819116400 cubed (10638819116400³) is 1204149126430341164088342011818944000000
• The square root of 10638819116400 is 3261720.2694897059
• The cube root of 10638819116400 is 21993.6752592963

Scales and comparisons

• 10,638,819,116,400 seconds is equal to 338,281 years, 28 weeks, 12 hours, 20 minutes.
• To count from 1 to 10,638,819,116,400 would take you about eight hundred forty-five thousand, seven hundred three 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 10638819116400 cubic inches would be around 1832.8 feet tall.

Recreational maths with 10638819116400

• 10638819116400 backwards is 00461191883601
• 10638819116400 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 10638819116400's digits is 48
• More coming soon!