20973048768

Names of 20973048768

• Cardinal: 20973048768 can be written as Twenty billion, nine hundred seventy-three million, forty-eight thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 2.0973048768 × 10¹⁰

Factors of 20973048768

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 1632

Divisors of 20973048768

• Number of divisors d(n): 420
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 32 36 38 42 48 54 56 57 63 64 72 76 81 84 96 108 112 114 126 133 144 152 162 168 171 189 192 216 224 228 252 266 288 304 324 336 342 361 378 399 432 448 456 504 513 532 567 576 608 648 672 684 722 756 798 864 912 1008 1026 1064 1083 1134 1197 1216 1296 1344 1368 1444 1512 1539 1596 1601 1728 1824 2016 2052 2128 2166 2268 2394 2527 2592 2736 2888 3024 3078 3192 3202 3249 3591 3648 4032 4104 4256 4332 4536 4788 4803 5054 5184 5472 5776 6048 6156 6384 6404 6498 7182 7581 8208 8512 8664 9072 9576 9606 9747 10108 10773 10944 11207 11552 12096 12312 12768 12808 12996 14364 14409 15162 16416 17328 18144 19152 19212 19494 20216 21546 22414 22743 23104 24624 25536 25616 25992 28728 28818 29241 30324 30419 32832 33621 34656 36288 38304 38424 38988 40432 43092 43227 44828 45486 49248 51232 51984 57456 57636 58482 60648 60838 67242 68229 69312 76608 76848 77976 80864 86184 86454 89656 90972 91257 98496 100863 102464 103968 114912 115272 116964 121296 121676 129681 134484 136458 153696 155952 161728 172368 172908 179312 181944 182514 201726 204687 207936 212933 229824 230544 233928 242592 243352 259362 268968 272916 273771 302589 307392 311904 344736 345816 358624 363888 365028 403452 409374 425866 461088 467856 485184 486704 518724 537936 545832 547542 577961 605178 623808 638799 689472 691632 717248 727776 730056 806904 818748 821313 851732 907767 922176 935712 973408 1037448 1075872 1091664 1095084 1155922 1210356 1277598 1383264 1455552 1460112 1613808 1637496 1642626 1703464 1733883 1815534 1871424 1916397 1946816 2074896 2151744 2183328 2190168 2311844 2420712 2463939 2555196 2766528 2920224 3227616 3274992 3285252 3406928 3467766 3631068 3832794 4045727 4149792 4366656 4380336 4623688 4841424 4927878 5110392 5201649 5749191 5840448 6455232 6549984 6570504 6813856 6935532 7262136 7665588 8091454 8299584 8760672 9247376 9682848 9855756 10220784 10403298 11498382 12137181 13099968 13141008 13627712 13871064 14524272 15331176 15604947 16182908 17247573 17521344 18494752 19365696 19711512 20441568 20806596 22996764 24274362 26282016 27742128 29048544 30662352 31209894 32365816 34495146 36411543 36989504 39423024 40883136 41613192 45993528 46814841 48548724 52564032 55484256 58097088 61324704 62419788 64731632 68990292 72823086 78846048 83226384 91987056 93629682 97097448 109234629 110968512 122649408 124839576 129463264 137980584 145646172 157692096 166452768 183974112 187259364 194194896 218469258 249679152 258926528 275961168 291292344 327703887 332905536 367948224 374518728 388389792 436938516 499358304 551922336 582584688 655407774 749037456 776779584 873877032 998716608 1103844672 1165169376 1310815548 1498074912 1747754064 2330338752 2621631096 2996149824 3495508128 5243262192 6991016256 10486524384 20973048768
• Sum of all divisors σ(n): 75035462832
• Sum of proper divisors (its aliquot sum) s(n): 54062414064
• 20973048768 is an abundant number, because the sum of its proper divisors (54062414064) is greater than itself. Its abundance is 33089365296

Bases of 20973048768

• Binary: 10011100010000101110101001111000000₂
• Hexadecimal: 0x4E21753C0
• Base-36: 9MUT800

Squares and roots of 20973048768

• 20973048768 squared (20973048768²) is 439868774624906317824
• 20973048768 cubed (20973048768³) is 9225389261728561111154059640832
• The square root of 20973048768 is 144820.7470219651
• The cube root of 20973048768 is 2757.7434107029

Scales and comparisons

• 20,973,048,768 seconds is equal to 666 years, 45 weeks, 4 days, 14 hours, 52 minutes, 48 seconds.
• To count from 1 to 20,973,048,768 would take you about one thousand, three hundred thirty-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 20973048768 cubic inches would be around 229.8 feet tall.

Recreational maths with 20973048768

• 20973048768 backwards is 86784037902
• 20973048768 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 20973048768's digits is 54
• More coming soon!