21328223966743200

Names of 21328223966743200

• Cardinal: 21328223966743200 can be written as Twenty-one quadrillion, three hundred twenty-eight trillion, two hundred twenty-three billion, nine hundred sixty-six million, seven hundred forty-three thousand, two hundred.

Scientific notation

• Scientific notation: 2.13282239667432 × 10¹⁶

Factors of 21328223966743200

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 35978785411

Divisors of 21328223966743200

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 25 26 30 32 38 39 40 48 50 52 57 60 65 75 76 78 80 95 96 100 104 114 120 130 150 152 156 160 190 195 200 208 228 240 247 260 285 300 304 312 325 380 390 400 416 456 475 480 494 520 570 600 608 624 650 741 760 780 800 912 950 975 988 1040 1140 1200 1235 1248 1300 1425 1482 1520 1560 1824 1900 1950 1976 2080 2280 2400 2470 2600 2850 2964 3040 3120 3705 3800 3900 3952 4560 4940 5200 5700 5928 6175 6240 7410 7600 7800 7904 9120 9880 10400 11400 11856 12350 14820 15200 15600 18525 19760 22800 23712 24700 29640 31200 37050 39520 45600 49400 59280 74100 98800 118560 148200 197600 296400 592800 35978785369 71957570738 107936356107 143915141476 179893926845 215872712214 287830282952 359787853690 431745424428 467724209797 539681780535 575660565904 683596922011 719575707380 863490848856 899469634225 935448419594 1079363561070 1151321131808 1367193844022 1403172629391 1439151414760 1726981697712 1798939268450 1870896839188 2050790766033 2158727122140 2338621048985 2698408902675 2734387688044 2806345258782 2878302829520 3417984610055 3453963395424 3597878536900 3741793678376 4101581532066 4317454244280 4677242097970 5396817805350 5468775376088 5612690517564 5756605659040 6835969220110 7015863146955 7195757073800 7483587356752 8203163064132 8634908488560 8886759986143 9354484195940 10253953830165 10793635610700 10937550752176 11225381035128 11693105244925 13671938440220 14031726293910 14391514147600 14967174713504 16406326128264 17089923050275 17269816977120 17773519972286 18708968391880 20507907660330 21587271221400 21875101504352 22450762070256 23386210489850 26660279958429 27343876880440 28063452587820 28783028295200 32812652256528 34179846100550 35079315734775 35547039944572 37417936783760 41015815320660 43174542442800 44433799930715 44901524140512 46772420979700 51269769150825 53320559916858 54687753760880 56126905175640 65625304513056 68359692201100 70158631469550 71094079889144 74835873567520 82031630641320 86349084885600 88867599861430 93544841959400 102539538301650 106641119833716 109375507521760 112253810351280 133301399792145 136719384402200 140317262939100 142188159778288 164063261282640 177735199722860 187089683918800 205079076603300 213282239667432 222168999653575 224507620702560 266602799584290 273438768804400 280634525878200 284376319556576 328126522565280 355470399445720 374179367837600 410158153206600 426564479334864 444337999307150 533205599168580 546877537608800 561269051756400 666506998960725 710940798891440 820316306413200 853128958669728 888675998614300 1066411198337160 1122538103512800 1333013997921450 1421881597782880 1640632612826400 1777351997228600 2132822396674320 2666027995842900 3554703994457200 4265644793348640 5332055991685800 7109407988914400 10664111983371600 21328223966743200
• Sum of all divisors σ(n): 78698555966923200
• Sum of proper divisors (its aliquot sum) s(n): 57370332000180000
• 21328223966743200 is an abundant number, because the sum of its proper divisors (57370332000180000) is greater than itself. Its abundance is 36042108033436800

Bases of 21328223966743200

• Binary: 1001011110001011110100000011101001110100100101010100000₂
• Hexadecimal: 0x4BC5E81D3A4AA0
• Base-36: 5U082TRDHUO

Squares and roots of 21328223966743200

• 21328223966743200 squared (21328223966743200²) is 454893137575559041259614746240000
• 21328223966743200 cubed (21328223966743200³) is 9702062719146050059487453538147122067245568000000
• The square root of 21328223966743200 is 146041856.8998052695
• The cube root of 21328223966743200 is 277322.3664915661

Scales and comparisons

• 21,328,223,966,743,200 seconds is equal to 678,171,549 years, 31 weeks, 6 days, 12 hours, 40 minutes.
• To count from 1 to 21,328,223,966,743,200 would take you about two billion, thirty-four million, five hundred fourteen thousand, six hundred forty-eight 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 21328223966743200 cubic inches would be around 23110.2 feet tall.

Recreational maths with 21328223966743200

• 21328223966743200 backwards is 00234766932282312
• 21328223966743200 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 21328223966743200's digits is 60
• More coming soon!