21197761318944

Names of 21197761318944

• Cardinal: 21197761318944 can be written as Twenty-one trillion, one hundred ninety-seven billion, seven hundred sixty-one million, three hundred eighteen thousand, nine hundred forty-four.

Scientific notation

• Scientific notation: 2.1197761318944 × 10¹³

Factors of 21197761318944

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 920

Divisors of 21197761318944

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 32 36 42 48 49 54 56 62 63 72 81 84 93 96 98 108 112 124 126 144 147 162 168 186 189 196 216 217 224 248 252 279 288 294 324 336 343 372 378 392 432 434 441 496 504 558 567 588 648 651 672 686 744 756 784 837 864 868 877 882 992 1008 1029 1116 1134 1176 1296 1302 1323 1372 1488 1512 1519 1568 1674 1736 1754 1764 1953 2016 2058 2232 2268 2352 2511 2592 2604 2631 2646 2744 2976 3024 3038 3087 3348 3472 3508 3528 3906 3969 4116 4464 4536 4557 4704 5022 5208 5262 5292 5488 5859 6048 6076 6139 6174 6696 6944 7016 7056 7812 7893 7938 8232 8928 9072 9114 9261 10044 10416 10524 10584 10633 10976 11718 12152 12278 12348 13392 13671 14032 14112 15624 15786 15876 16464 17577 18144 18228 18417 18522 20088 20832 21048 21168 21266 23436 23679 24304 24556 24696 26784 27187 27342 27783 28064 31248 31572 31752 31899 32928 35154 36456 36834 37044 40176 41013 42096 42336 42532 42973 46872 47358 48608 49112 49392 54374 54684 55251 55566 62496 63144 63504 63798 70308 71037 72912 73668 74088 80352 81561 82026 84192 85064 85946 93744 94716 95697 98224 98784 108748 109368 110502 111132 123039 126288 127008 127596 128919 140616 142074 145824 147336 148176 163122 164052 165753 170128 171892 187488 189432 190309 191394 196448 217496 218736 221004 222264 244683 246078 252576 255192 257838 281232 284148 287091 294672 296352 300811 326244 328104 331506 340256 343784 378864 380618 382788 386757 434992 437472 442008 444528 489366 492156 497259 510384 515676 562464 568296 570927 574182 589344 601622 652488 656208 663012 687568 734049 757728 761236 765576 769129 773514 861273 869984 884016 889056 902433 978732 984312 994518 1020768 1031352 1136592 1141854 1148364 1160271 1203244 1304976 1312416 1326024 1332163 1375136 1468098 1522472 1531152 1538258 1547028 1712781 1722546 1768032 1804866 1957464 1968624 1989036 2062704 2202147 2273184 2283708 2296728 2307387 2320542 2406488 2609952 2652048 2664326 2707299 2936196 3044944 3062304 3076516 3094056 3425562 3445092 3480813 3609732 3914928 3937248 3978072 3996489 4125408 4404294 4567416 4593456 4614774 4641084 4812976 5138343 5304096 5328652 5383903 5414598 5872392 6089888 6153032 6188112 6851124 6890184 6922161 6961626 7219464 7829856 7956144 7992978 8121897 8808588 9134832 9186912 9229548 9282168 9325141 9625952 10276686 10657304 10767806 10829196 11744784 11989467 12306064 12376224 13702248 13780368 13844322 13923252 14438928 15415029 15912288 15985956 16151709 16243794 17617176 18269664 18459096 18564336 18650282 20553372 20766483 21314608 21535612 21658392 23489568 23842999 23978934 24365691 24612128 27404496 27560736 27688644 27846504 27975423 28877856 30830058 31971912 32303418 32487588 35234352 35968401 36918192 37128672 37300564 37687321 41106744 41532966 42629216 43071224 43316784 47685998 47957868 48455127 48731382 54808992 55377288 55693008 55950846 61660116 62299449 63943824 64606836 64975176 70468704 71528997 71936802 73836384 74601128 75374642 82213488 83065932 83926269 86142448 86633568 95371996 95915736 96910254 97462764 107905203 110754576 111386016 111901692 113061963 123320232 124598898 127887648 129213672 129950352 143057994 143873604 145365381 149202256 150749284 164426976 166131864 166900993 167852538 172284896 190743992 191831472 193820508 194925528 214586991 215810406 221509152 223803384 226123926 246640464 249197796 251778807 258427344 259900704 263811247 286115988 287747208 290730762 298404512 301498568 332263728 333801986 335705076 339185889 381487984 383662944 387641016 389851056 429173982 431620812 436096143 447606768 452247852 493280928 498395592 500702979 503557614 516854688 527622494 572231976 575494416 581461524 602997136 643760973 664527456 667603972 671410152 678371778 755336421 762975968 775282032 779702112 791433741 858347964 863241624 872192286 895213536 904495704 996791184 1001405958 1007115228 1017557667 1055244988 1144463952 1150988832 1162923048 1168306951 1205994272 1287521946 1335207944 1342820304 1356743556 1502108937 1510672842 1550564064 1582867482 1716695928 1726483248 1744384572 1808991408 1931282919 1993582368 2002811916 2014230456 2035115334 2110489976 2288927904 2325846096 2336613902 2374301223 2575043892 2670415888 2685640608 2713487112 3004217874 3021345684 3052673001 3165734964 3433391856 3452966496 3488769144 3504920853 3617982816 3862565838 4005623832 4028460912 4070230668 4220979952 4506326811 4651692192 4673227804 4748602446 5150087784 5340831776 5426974224 6008435748 6042691368 6105346002 6331469928 6866783712 6977538288 7009841706 7122903669 7725131676 8011247664 8056921824 8140461336 8178148657 8441959904 9012653622 9346455608 9497204892 10300175568 10514762559 10853948448 12016871496 12085382736 12210692004 12662939856 13518980433 13955076576 14019683412 14245807338 15450263352 16022495328 16280922672 16356297314 18025307244 18692911216 18994409784 20600351136 21029525118 21368711007 24033742992 24170765472 24421384008 24534445971 25325879712 27037960866 28039366824 28491614676 30900526704 31544287677 32561845344 32712594628 36050614488 37385822432 37988819568 42059050236 42737422014 48067485984 48842768016 49068891942 54075921732 56078733648 56983229352 61801053408 63088575354 65425189256 72101228976 73603337913 75977639136 84118100472 85474844028 94632863031 97685536032 98137783884 108151843464 112157467296 113966458704 126177150708 130850378512 144202457952 147206675826 168236200944 170949688056 189265726062 196275567768 216303686928 220810013739 227932917408 252354301416 261700757024 294413351652 336472401888 341899376112 378531452124 392551135536 432607373856 441620027478 504708602832 588826703304 662430041217 683798752224 757062904248 785102271072 883240054956 1009417205664 1177653406608 1324860082434 1514125808496 1766480109912 2355306813216 2649720164868 3028251616992 3532960219824 5299440329736 7065920439648 10598880659472 21197761318944
• Sum of all divisors σ(n): 75132971020800
• Sum of proper divisors (its aliquot sum) s(n): 53935209701856
• 21197761318944 is an abundant number, because the sum of its proper divisors (53935209701856) is greater than itself. Its abundance is 32737448382912

Bases of 21197761318944

• Binary: 100110100011101111101000010001001000000100000₂
• Hexadecimal: 0x13477D089020
• Base-36: 7II47S200

Squares and roots of 21197761318944

• 21197761318944 squared (21197761318944²) is 449345084934918470493275136
• 21197761318944 cubed (21197761318944³) is 9525109860291021061484635093177640976384
• The square root of 21197761318944 is 4604102.6616425485
• The cube root of 21197761318944 is 27675.5758409805

Scales and comparisons

• 21,197,761,318,944 seconds is equal to 674,023 years, 12 weeks, 3 days, 17 hours, 2 minutes, 24 seconds.
• To count from 1 to 21,197,761,318,944 would take you about one million, six hundred eighty-five thousand and fifty-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 21197761318944 cubic inches would be around 2306.3 feet tall.

Recreational maths with 21197761318944

• 21197761318944 backwards is 44981316779112
• 21197761318944 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 21197761318944's digits is 63
• More coming soon!