21744618672

Names of 21744618672

• Cardinal: 21744618672 can be written as Twenty-one billion, seven hundred forty-four million, six hundred eighteen thousand, six hundred seventy-two.

Scientific notation

• Scientific notation: 2.1744618672 × 10¹⁰

Factors of 21744618672

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 444

Divisors of 21744618672

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 17 21 24 28 31 34 42 48 49 51 53 56 62 68 84 93 98 102 106 112 119 124 136 147 159 168 186 196 204 212 217 238 248 272 294 318 331 336 357 371 372 392 408 424 434 476 496 527 588 636 651 662 714 742 744 784 816 833 848 868 901 952 993 1054 1113 1176 1272 1302 1324 1428 1484 1488 1519 1581 1643 1666 1736 1802 1904 1986 2108 2226 2317 2352 2499 2544 2597 2604 2648 2703 2856 2968 3038 3162 3286 3332 3472 3604 3689 3972 4216 4452 4557 4634 4929 4998 5194 5208 5296 5406 5627 5712 5936 6076 6307 6324 6572 6664 6951 7208 7378 7791 7944 8432 8904 9114 9268 9858 9996 10261 10388 10416 10812 11067 11254 11501 12152 12614 12648 13144 13328 13902 14416 14756 15582 15888 16219 16881 17543 17808 18228 18536 18921 19716 19992 20522 20776 21624 22134 22508 23002 24304 25228 25296 25823 26288 27804 27931 29512 30783 31164 32438 33762 34503 35086 36456 37072 37842 39389 39432 39984 41044 41552 43248 44149 44268 45016 46004 48657 50456 51646 52629 55608 55862 59024 61566 62328 64876 67524 69006 70172 71827 72912 75684 77469 78778 78864 80507 82088 83793 88298 88536 90032 92008 97314 100912 103292 105258 111216 111724 118167 122801 123132 124656 129752 132447 135048 138012 140344 143654 151368 154938 157556 161014 164176 167586 174437 176596 177072 184016 194628 195517 206584 210516 215481 223448 236334 241521 245602 246264 259504 264894 270096 275723 276024 280688 287308 298231 302736 309876 315112 322028 335172 348874 353192 368403 389256 391034 413168 421032 430962 446896 472668 483042 491204 492528 502789 523311 529788 543833 551446 552048 574616 586551 596462 619752 630224 644056 670344 697748 706384 736806 778512 782068 827169 842064 859607 861924 894693 945336 966084 982408 1005578 1046622 1059576 1087666 1102892 1149232 1173102 1192924 1221059 1239504 1288112 1340688 1368619 1395496 1473612 1508367 1564136 1631499 1654338 1719214 1723848 1789386 1890672 1932168 1964816 2011156 2087617 2093244 2119152 2175332 2205784 2346204 2385848 2442118 2578821 2737238 2790992 2947224 3016734 3128272 3262998 3308676 3438428 3447696 3578772 3663177 3806831 3864336 4022312 4105857 4175234 4186488 4350664 4411568 4692408 4771696 4884236 5157642 5474476 5894448 6033468 6262851 6525996 6617352 6876856 7157544 7326354 7613662 8044624 8211714 8350468 8372976 8547413 8701328 9245161 9384816 9768472 10315284 10948952 11420493 12066936 12525702 13051992 13234704 13753712 14315088 14613319 14652708 15227324 16423428 16700936 17094826 18490322 19536944 20630568 21897904 22840986 24133872 25051404 25642239 26103984 26647817 27735483 29226638 29305416 30454648 32846856 33401872 34189652 36980644 41261136 43839957 45681972 50102808 51284478 53295634 55470966 58453276 58610832 60909296 64716127 65693712 68379304 73961288 79943451 87679914 91363944 100205616 102568956 106591268 110941932 116906552 129432254 136758608 147922576 159886902 175359828 182727888 194148381 205137912 213182536 221883864 233813104 258864508 319773804 350719656 388296762 410275824 426365072 443767728 453012889 517729016 639547608 701439312 776593524 906025778 1035458032 1279095216 1359038667 1553187048 1812051556 2718077334 3106374096 3624103112 5436154668 7248206224 10872309336 21744618672
• Sum of all divisors σ(n): 72987899904
• Sum of proper divisors (its aliquot sum) s(n): 51243281232
• 21744618672 is an abundant number, because the sum of its proper divisors (51243281232) is greater than itself. Its abundance is 29498662560

Bases of 21744618672

• Binary: 10100010000000101001000110010110000₂
• Hexadecimal: 0x510148CB0
• Base-36: 9ZM6N5C

Squares and roots of 21744618672

• 21744618672 squared (21744618672²) is 472828441190691043584
• 21744618672 cubed (21744618672³) is 10281474150967754378899812200448
• The square root of 21744618672 is 147460.5664983015
• The cube root of 21744618672 is 2791.1548544463

Scales and comparisons

• 21,744,618,672 seconds is equal to 691 years, 21 weeks, 2 days, 19 hours, 51 minutes, 12 seconds.
• To count from 1 to 21,744,618,672 would take you about one thousand, three hundred eighty-two 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 21744618672 cubic inches would be around 232.6 feet tall.

Recreational maths with 21744618672

• 21744618672 backwards is 27681644712
• 21744618672 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 21744618672's digits is 48
• More coming soon!