21970421416320

Names of 21970421416320

• Cardinal: 21970421416320 can be written as Twenty-one trillion, nine hundred seventy billion, four hundred twenty-one million, four hundred sixteen thousand, three hundred twenty.

Scientific notation

• Scientific notation: 2.197042141632 × 10¹³

Factors of 21970421416320

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 4020

Divisors of 21970421416320

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 32 38 39 40 48 52 57 60 64 65 76 78 80 95 96 104 114 120 128 130 152 156 160 190 192 195 208 228 240 247 260 285 304 312 320 361 380 384 390 416 456 480 494 520 570 608 624 640 722 741 757 760 780 832 912 960 988 1040 1083 1140 1216 1235 1248 1444 1482 1514 1520 1560 1664 1805 1824 1920 1976 2080 2166 2271 2280 2432 2470 2496 2888 2964 3028 3040 3120 3221 3610 3648 3705 3785 3952 4160 4332 4542 4560 4693 4940 4992 5415 5776 5928 6056 6080 6240 6442 7220 7296 7410 7570 7904 8320 8664 9084 9120 9386 9663 9841 9880 10830 11355 11552 11856 12112 12160 12480 12884 14079 14383 14440 14820 15140 15808 16105 17328 18168 18240 18772 19326 19682 19760 21660 22710 23104 23465 23712 24224 24960 25768 28158 28766 28880 29523 29640 30280 31616 32210 34656 36336 36480 37544 38652 39364 39520 41873 43149 43320 45420 46208 46930 47424 48315 48448 49205 51536 56316 57532 57760 59046 59280 60560 61199 64420 69312 70395 71915 72672 75088 77304 78728 79040 83746 86298 86640 90840 93860 94848 96630 96896 98410 103072 112632 115064 115520 118092 118560 121120 122398 125619 128840 138624 140790 143830 145344 147615 150176 154608 157456 158080 167492 172596 173280 181680 183597 186979 187720 193260 196820 206144 209365 215745 225264 230128 231040 236184 237120 242240 244796 251238 257680 273277 281580 287660 290688 295230 300352 305995 309216 314912 334984 345192 346560 363360 367194 373958 375440 386520 393640 412288 418730 431490 450528 460256 472368 474240 484480 489592 502476 515360 546554 560937 563160 575320 590460 600704 611990 618432 628095 629824 669968 690384 693120 726720 734388 747916 750880 773040 787280 795587 819831 837460 862980 901056 917985 920512 934895 944736 979184 1004952 1030720 1093108 1121874 1126320 1150640 1162781 1180920 1223980 1236864 1256190 1259648 1339936 1366385 1380768 1453440 1468776 1495832 1501760 1546080 1574560 1591174 1639662 1674920 1725960 1802112 1835970 1841024 1869790 1889472 1958368 2009904 2061440 2186216 2243748 2252640 2301280 2325562 2361840 2386761 2438297 2447960 2512380 2679872 2732770 2761536 2804685 2937552 2991664 3003520 3092160 3149120 3182348 3279324 3349840 3451920 3488343 3552601 3671940 3739580 3778944 3916736 3977935 4019808 4099155 4372432 4487496 4505280 4602560 4651124 4723680 4773522 4876594 4895920 5024760 5359744 5465540 5523072 5609370 5813905 5875104 5983328 6184320 6298240 6364696 6558648 6699680 6903840 6976686 7105202 7314891 7343880 7479160 7833472 7955870 8039616 8198310 8744864 8974992 9010560 9205120 9302248 9447360 9547044 9753188 9791840 10049520 10657803 10931080 11218740 11627810 11750208 11933805 11966656 12191485 12729392 13117296 13399360 13807680 13953372 14210404 14629782 14687760 14958320 15116153 15911740 16079232 16396620 17441715 17489728 17763005 17949984 18604496 18894720 19094088 19506376 19583680 20099040 21315606 21862160 22437480 23255620 23500416 23867610 23933312 24382970 25458784 26234592 26798720 27615360 27906744 28420808 29259564 29375520 29916640 30232306 31697861 31823480 32793240 34883430 34979456 35526010 35899968 36574455 37208992 38188176 39012752 39167360 40198080 42631212 43724320 44874960 45348459 46327643 46511240 47735220 48765940 50917568 52469184 53289015 55813488 56841616 58519128 58751040 59833280 60464612 63395722 63646960 65586480 69766860 71052020 71799936 73148910 74417984 75580765 76376352 78025504 80396160 85262424 87448640 89749920 90696918 92655286 93022480 95093583 95470440 97531880 101835136 104938368 106578030 111626976 113683232 117038256 117502080 119666560 120929224 126791444 127293920 131172960 138982929 139533720 142104040 146297820 148835968 151161530 152752704 156051008 158489305 170524848 174897280 179499840 181393836 185310572 186044960 190187166 190940880 195063760 213156060 223253952 226742295 227366464 231638215 234076512 241858448 253582888 254587840 262345920 277965858 279067440 284208080 292595640 302323060 305505408 312102016 316978610 341049696 358999680 362787672 370621144 372089920 380374332 381881760 390127520 426312120 446507904 453484590 454732928 463276430 468153024 475467915 483716896 507165776 509175680 524691840 555931716 558134880 568416160 585191280 602259359 604646120 633957220 682099392 694914645 725575344 741242288 744179840 760748664 763763520 780255040 852624240 880225217 906969180 926552860 936306048 950935830 967433792 1014331552 1111863432 1116269760 1136832320 1170382560 1204518718 1209292240 1267914440 1364198784 1389829290 1451150688 1482484576 1521497328 1527527040 1560510080 1705248480 1760450434 1806778077 1813938360 1853105720 1901871660 1934867584 2028663104 2223726864 2232539520 2273664640 2340765120 2409037436 2418584480 2535828880 2640675651 2779658580 2902301376 2964969152 3011296795 3042994656 3410496960 3520900868 3613556154 3627876720 3706211440 3803743320 4057326208 4401126085 4447453728 4681530240 4818074872 4837168960 5071657760 5281351302 5559317160 5804602752 5929938304 6022593590 6085989312 6820993920 7041801736 7227112308 7255753440 7412422880 7607486640 8802252170 8894907456 9033890385 9636149744 9674337920 10143315520 10562702604 11118634320 11442927821 12045187180 12171978624 13203378255 14083603472 14454224616 14511506880 14824845760 15214973280 17604504340 17789814912 18067780770 19272299488 20286631040 21125405208 22237268640 22885855642 24090374360 26406756510 28167206944 28908449232 29023013760 29649691520 30429946560 34328783463 35209008680 36135561540 38544598976 42250810416 44474537280 45771711284 48180748720 52813513020 56334413888 57214639105 57816898464 60859893120 68657566926 70418017360 72271123080 77089197952 84501620832 88949074560 91543422568 96361497440 105627026040 112668827776 114429278210 115633796928 137315133852 140836034720 144542246160 169003241664 171643917315 183086845136 192722994880 211254052080 228858556420 231267593856 274630267704 281672069440 289084492320 338006483328 343287834630 366173690272 385445989760 422508104160 457717112840 549260535408 563344138880 578168984640 686575669260 732347380544 845016208320 915434225680 1098521070816 1156337969280 1373151338520 1464694761088 1690032416640 1830868451360 2197042141632 2746302677040 3661736902720 4394084283264 5492605354080 7323473805440 10985210708160 21970421416320
• Sum of all divisors σ(n): 79725853126080
• Sum of proper divisors (its aliquot sum) s(n): 57755431709760
• 21970421416320 is an abundant number, because the sum of its proper divisors (57755431709760) is greater than itself. Its abundance is 35785010293440

Bases of 21970421416320

• Binary: 100111111101101100011001010100000000110000000₂
• Hexadecimal: 0x13FB632A0180
• Base-36: 7SD2LNGQO

Squares and roots of 21970421416320

• 21970421416320 squared (21970421416320²) is 482699417210692514762342400
• 21970421416320 cubed (21970421416320³) is 10605109613530981624032885220008787968000
• The square root of 21970421416320 is 4687261.6116790409
• The cube root of 21970421416320 is 28007.8300449971

Scales and comparisons

• 21,970,421,416,320 seconds is equal to 698,591 years, 22 weeks, 6 days, 21 hours, 52 minutes.
• To count from 1 to 21,970,421,416,320 would take you about one million, seven hundred forty-six thousand, four hundred seventy-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 21970421416320 cubic inches would be around 2334 feet tall.

Recreational maths with 21970421416320

• 21970421416320 backwards is 02361412407912
• The number of decimal digits it has is: 14
• The sum of 21970421416320's digits is 42
• More coming soon!