21688319968000

Names of 21688319968000

• Cardinal: 21688319968000 can be written as Twenty-one trillion, six hundred eighty-eight billion, three hundred nineteen million, nine hundred sixty-eight thousand.

Scientific notation

• Scientific notation: 2.1688319968 × 10¹³

Factors of 21688319968000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 1533

Divisors of 21688319968000

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 256 277 280 320 350 400 431 448 500 554 560 640 700 800 811 862 875 896 1000 1108 1120 1280 1385 1400 1600 1622 1724 1750 1792 1939 2000 2155 2216 2240 2770 2800 3017 3200 3244 3448 3500 3878 4000 4055 4310 4432 4480 5540 5600 5677 6034 6400 6488 6896 6925 7000 7756 8000 8110 8620 8864 8960 9695 10775 11080 11200 11354 12068 12976 13792 13850 14000 15085 15512 16000 16220 17240 17728 19390 20275 21550 22160 22400 22708 24136 25952 27584 27700 28000 28385 30170 31024 32000 32440 34480 34625 35456 38780 40550 43100 44320 44800 45416 48272 48475 51904 53875 55168 55400 56000 56770 60340 62048 64880 68960 69250 70912 75425 77560 81100 86200 88640 90832 96544 96950 101375 103808 107750 110336 110800 112000 113540 119387 120680 124096 129760 137920 138500 141925 150850 155120 162200 172400 177280 181664 193088 193900 202750 207616 215500 221600 224000 224647 227080 238774 241360 242375 248192 259520 275840 277000 283850 301700 310240 324400 344800 349541 354560 363328 377125 386176 387800 405500 431000 443200 449294 454160 477548 482720 484750 496384 519040 551680 554000 567700 596935 603400 620480 648800 689600 699082 709625 726656 754250 772352 775600 811000 835709 862000 886400 898588 908320 955096 965440 969500 1038080 1108000 1123235 1135400 1193870 1206800 1240960 1297600 1379200 1398164 1419250 1453312 1508500 1551200 1572529 1622000 1671418 1724000 1747705 1772800 1797176 1816640 1910192 1930880 1939000 2216000 2246470 2270800 2387740 2413600 2446787 2481920 2595200 2758400 2796328 2838500 2984675 3017000 3102400 3145058 3244000 3342836 3448000 3495410 3594352 3633280 3820384 3861760 3878000 4178545 4432000 4492940 4541600 4775480 4827200 4893574 5190400 5592656 5616175 5677000 5969350 6034000 6204800 6290116 6488000 6685672 6896000 6990820 7188704 7266560 7640768 7756000 7862645 8357090 8738525 8864000 8985880 9083200 9550960 9654400 9787148 11185312 11232350 11354000 11938700 12068000 12233935 12409600 12580232 12976000 13371344 13792000 13981640 14377408 14923375 15281536 15512000 15725290 16714180 17477050 17971760 18166400 19101920 19308800 19574296 20892725 22370624 22464700 22708000 23877400 24136000 24467870 25160464 25952000 26742688 27963280 28080875 28754816 29846750 30563072 31024000 31450580 33428360 34954100 35943520 36332800 38203840 39148592 39313225 41785450 43692625 44741248 44929400 45416000 47754800 48272000 48935740 50320928 53485376 55926560 56161750 57509632 59693500 61169675 62048000 62901160 66856720 69908200 71887040 76407680 78297184 78626450 83570900 87385250 89482496 89858800 90832000 95509600 96544000 96822857 97871480 100641856 104463625 106970752 111853120 112323500 119387000 122339350 125802320 133713440 139816400 143774080 152815360 156594368 157252900 167141800 174770500 179717600 181664000 191019200 193645714 195742960 196566125 201283712 208927250 213941504 223706240 224647000 238774000 244678700 251604640 267426880 279632800 287548160 305848375 313188736 314505800 334283600 349541000 359435200 382038400 387291428 391485920 393132250 402567424 417854500 447412480 449294000 477548000 484114285 489357400 503209280 534853760 559265600 611696750 626377472 629011600 668567200 677759999 699082000 718870400 764076800 774582856 782971840 786264500 835709000 898588000 955096000 968228570 978714800 1006418560 1069707520 1118531200 1223393500 1258023200 1337134400 1355519998 1398164000 1437740800 1549165712 1565943680 1572529000 1671418000 1797176000 1910192000 1936457140 1957429600 2012837120 2237062400 2420571425 2446787000 2516046400 2674268800 2711039996 2796328000 3098331424 3131887360 3145058000 3342836000 3388799995 3594352000 3820384000 3872914280 3914859200 4841142850 4893574000 5032092800 5348537600 5422079992 5592656000 6196662848 6290116000 6685672000 6777599990 7188704000 7745828560 7829718400 9682285700 9787148000 10064185600 10844159984 11185312000 12102857125 12393325696 12580232000 13371344000 13555199980 15491657120 15659436800 16943999975 19364571400 19574296000 21688319968 24205714250 24786651392 25160464000 26742688000 27110399960 30983314240 33887999950 38729142800 39148592000 43376639936 48411428500 50320928000 54220799920 61966628480 67775999900 77458285600 78297184000 84719999875 86753279872 96822857000 108441599840 123933256960 135551999800 154916571200 169439999750 173506559744 193645714000 216883199680 271103999600 309833142400 338879999500 387291428000 433766399360 542207999200 619666284800 677759999000 774582856000 867532798720 1084415998400 1355519998000 1549165712000 2168831996800 2711039996000 3098331424000 4337663993600 5422079992000 10844159984000 21688319968000
• Sum of all divisors σ(n): 62189928493056
• Sum of proper divisors (its aliquot sum) s(n): 40501608525056
• 21688319968000 is an abundant number, because the sum of its proper divisors (40501608525056) is greater than itself. Its abundance is 18813288557056

Bases of 21688319968000

• Binary: 100111011100110110100100110111000001100000000₂
• Hexadecimal: 0x13B9B49B8300
• Base-36: 7ORH5QE4G

Squares and roots of 21688319968000

• 21688319968000 squared (21688319968000²) is 470383223034347521024000000
• 21688319968000 cubed (21688319968000³) is 10201821848748036890076119007232000000000
• The square root of 21688319968000 is 4657072.0380943219
• The cube root of 21688319968000 is 27887.4392519935

Scales and comparisons

• 21,688,319,968,000 seconds is equal to 689,621 years, 25 weeks, 2 days, 20 hours, 26 minutes, 40 seconds.
• To count from 1 to 21,688,319,968,000 would take you about one million, seven hundred twenty-four thousand and fifty-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 21688319968000 cubic inches would be around 2324 feet tall.

Recreational maths with 21688319968000

• 21688319968000 backwards is 00086991388612
• The number of decimal digits it has is: 14
• The sum of 21688319968000's digits is 61
• More coming soon!