20984689440
20,984,689,440 is an even composite number composed of six prime numbers multiplied together.
20984689440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 20984689440:
25 × 34 × 5 × 11 × 133 × 67
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 11 × 13 × 13 × 13 × 67)See below for interesting mathematical facts about the number 20984689440 from the Numbermatics database.
Names of 20984689440
- Cardinal: 20984689440 can be written as Twenty billion, nine hundred eighty-four million, six hundred eighty-nine thousand, four hundred forty.
Scientific notation
- Scientific notation: 2.098468944 × 1010
Factors of 20984689440
Divisors of 20984689440
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 27 30 32 33 36 39 40 44 45 48 52 54 55 60 65 66 67 72 78 80 81 88 90 96 99 104 108 110 117 120 130 132 134 135 143 144 156 160 162 165 169 176 180 195 198 201 208 216 220 234 240 260 264 268 270 286 288 297 312 324 330 335 338 351 352 360 390 396 402 405 416 429 432 440 468 480 495 507 520 528 536 540 572 585 594 603 624 648 660 670 676 702 715 720 737 780 792 804 810 845 858 864 871 880 891 936 990 1005 1014 1040 1053 1056 1072 1080 1144 1170 1188 1206 1248 1287 1296 1320 1340 1352 1404 1430 1440 1474 1485 1521 1560 1584 1608 1620 1690 1716 1742 1755 1760 1782 1809 1859 1872 1980 2010 2028 2080 2106 2144 2145 2160 2197 2211 2288 2340 2376 2412 2535 2574 2592 2613 2640 2680 2704 2808 2860 2948 2970 3015 3042 3120 3168 3216 3240 3380 3432 3484 3510 3564 3618 3685 3718 3744 3861 3960 4020 4056 4212 4290 4320 4355 4394 4422 4455 4563 4576 4680 4752 4824 5070 5148 5226 5265 5280 5360 5408 5427 5577 5616 5720 5896 5940 6030 6084 6240 6432 6435 6480 6591 6633 6760 6864 6968 7020 7128 7236 7370 7436 7605 7722 7839 7920 8040 8112 8424 8580 8710 8788 8844 8910 9045 9126 9295 9360 9504 9581 9648 10140 10296 10452 10530 10720 10854 10985 11055 11154 11232 11323 11440 11583 11792 11880 12060 12168 12870 12960 13065 13182 13266 13520 13689 13728 13936 14040 14256 14472 14740 14872 15210 15444 15678 15840 16080 16224 16731 16848 17160 17420 17576 17688 17820 18090 18252 18590 18720 19162 19296 19305 19773 19899 20280 20592 20904 21060 21708 21970 22110 22308 22646 22815 22880 23166 23517 23584 23760 24120 24167 24336 25740 26130 26364 26532 27040 27135 27378 27872 27885 28080 28512 28743 28944 29480 29744 30420 30888 31356 32160 32955 33165 33462 33696 33969 34320 34840 35152 35376 35640 36180 36504 37180 38324 38610 39195 39546 39798 40560 41184 41808 42120 43416 43940 44220 44616 45292 45630 46332 47034 47520 47905 48240 48334 48672 50193 51480 52260 52728 53064 54270 54756 55770 56160 56615 57486 57888 57915 58960 59319 59488 59697 60840 61776 62712 65910 66330 66924 67938 68445 68640 69680 70304 70551 70752 71280 72360 72501 73008 74360 76648 77220 78390 79092 79596 81120 83616 83655 84240 86229 86832 87880 88440 89232 90584 91260 92664 94068 95810 96480 96668 98865 99495 100386 101907 102960 104520 105456 106128 108540 109512 111540 113230 114972 115830 117585 117920 118638 119394 120835 121680 123552 124553 125424 131820 132660 133848 135876 136890 139360 141102 142560 143715 144720 145002 146016 147199 148720 150579 153296 154440 156780 158184 159192 167310 168480 169845 172458 173664 175760 176880 177957 178464 181168 182520 185328 188136 191620 193336 197730 198990 200772 203814 205920 209040 210912 212256 217080 217503 219024 223080 226460 229944 231660 235170 237276 238788 241670 243360 249106 250848 250965 258687 263640 265320 267696 271752 273780 282204 287430 289440 290004 294398 296595 297440 298485 301158 305721 306592 308880 313560 316368 318384 334620 339690 344916 351520 352755 353760 355914 362336 362505 365040 370656 373659 376272 383240 386672 395460 397980 401544 407628 418080 431145 434160 435006 438048 441597 446160 452920 459888 463320 470340 474552 477576 483340 498212 501930 509535 517374 527280 530640 535392 543504 547560 564408 574860 580008 588796 593190 596970 602316 611442 617760 622765 627120 632736 636768 652509 669240 679380 689832 705510 711828 725010 730080 735995 747318 752544 752895 766480 773344 776061 790920 795960 803088 815256 862290 868320 870012 883194 889785 892320 905840 917163 919776 926640 940680 949104 955152 966680 996424 1003860 1019070 1034748 1054560 1061280 1087008 1087515 1095120 1120977 1128816 1149720 1160016 1177592 1186380 1193940 1204632 1222884 1245530 1254240 1293435 1305018 1324791 1338480 1358760 1379664 1411020 1423656 1450020 1471990 1494636 1505790 1528605 1532960 1552122 1581840 1591920 1606176 1619189 1630512 1724580 1740024 1766388 1779570 1811680 1834326 1853280 1868295 1881360 1898208 1910304 1933360 1957527 1992848 2007720 2038140 2069496 2175030 2190240 2207985 2241954 2257632 2299440 2320032 2355184 2372760 2387880 2409264 2445768 2491060 2586870 2610036 2649582 2676960 2717520 2759328 2822040 2847312 2900040 2943980 2989272 3011580 3057210 3104244 3163680 3183840 3238378 3261024 3262545 3362931 3449160 3480048 3532776 3559140 3668652 3736590 3762720 3866720 3880305 3915054 3974373 3985696 4015440 4076280 4138992 4350060 4415970 4483908 4585815 4598880 4710368 4745520 4775760 4818528 4857567 4891536 4982120 5173740 5220072 5299164 5435040 5604885 5644080 5694624 5800080 5887960 5978544 6023160 6114420 6208488 6476756 6525090 6623955 6725862 6898320 6960096 7065552 7118280 7337304 7473180 7760610 7830108 7948746 8030880 8095945 8152560 8277984 8700120 8831940 8967816 9171630 9491040 9551520 9715134 9783072 9787635 9964240 10088793 10347480 10440144 10598328 11209770 11288160 11600160 11775920 11923119 11957088 12046320 12228840 12416976 12953512 13050180 13247910 13451724 13796640 14131104 14236560 14572701 14674608 14946360 15521220 15660216 15897492 16191890 16305120 16814655 17400240 17663880 17935632 18343260 19430268 19575270 19871865 19928480 20177586 20694960 20880288 21196656 22419540 23551840 23846238 24092640 24287835 24457680 24833952 25907024 26100360 26495820 26903448 28473120 29145402 29349216 29892720 31042440 31320432 31794984 32383780 33629310 34800480 35327760 35871264 36686520 38860536 39150540 39743730 40355172 41389920 42393312 43718103 44839080 47692476 48575670 48915360 50443965 51814048 52200720 52991640 53806896 58290804 59615595 59785440 62084880 62640864 63589968 64767560 67258620 70655520 72863505 73373040 77721072 78301080 79487460 80710344 87436206 89678160 95384952 97151340 100887930 104401440 105983280 107613792 116581608 119231190 124169760 127179936 129535120 131154309 134517240 145727010 146746080 155442144 156602160 158974920 161420688 174872412 179356320 190769904 194302680 201775860 211966560 218590515 233163216 238462380 259070240 262308618 269034480 291454020 313204320 317949840 322841376 349744824 381539808 388605360 403551720 437181030 466326432 476924760 524617236 538068960 582908040 635899680 655771545 699489648 777210720 807103440 874362060 953849520 1049234472 1165816080 1311543090 1398979296 1614206880 1748724120 1907699040 2098468944 2331632160 2623086180 3497448240 4196937888 5246172360 6994896480 10492344720 20984689440
- Sum of all divisors σ(n): 88826855040
- Sum of proper divisors (its aliquot sum) s(n): 67842165600
- 20984689440 is an abundant number, because the sum of its proper divisors (67842165600) is greater than itself. Its abundance is 46857476160
Bases of 20984689440
- Binary: 100111000101100100011110011001000002
- Hexadecimal: 0x4E2C8F320
- Base-36: 9N1QQ00
Squares and roots of 20984689440
- 20984689440 squared (209846894402) is 440357190893247513600
- 20984689440 cubed (209846894403) is 9240758893565595265948176384000
-
The
square root of 20984689440 is 144860.9313790299 -
The
cube root of 20984689440 is 2758.2535264793
Scales and comparisons
How big is 20984689440?- 20,984,689,440 seconds is equal to 667 years, 12 weeks, 6 days, 8 hours, 24 minutes.
-
To count from 1 to 20,984,689,440 would take you about one thousand, three hundred thirty-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 20984689440 cubic inches would be around 229.9 feet tall.
Recreational maths with 20984689440
- 20984689440 backwards is 04498648902
- 20984689440 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 20984689440's digits is 54
- More coming soon!
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