21345887508400

Names of 21345887508400

• Cardinal: 21345887508400 can be written as Twenty-one trillion, three hundred forty-five billion, eight hundred eighty-seven million, five hundred eight thousand, four hundred.

Scientific notation

• Scientific notation: 2.13458875084 × 10¹³

Factors of 21345887508400

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 2107

Divisors of 21345887508400

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 19 20 25 26 28 31 35 38 40 50 52 56 62 65 70 76 80 91 95 100 104 112 124 130 133 140 152 155 175 182 190 200 208 217 247 248 260 266 280 304 310 325 350 364 380 400 403 434 455 475 494 496 520 532 560 589 620 650 665 700 728 760 775 806 829 868 910 950 988 1040 1064 1085 1178 1201 1235 1240 1300 1330 1400 1456 1520 1550 1612 1658 1729 1736 1820 1900 1976 2015 2128 2170 2275 2356 2402 2470 2480 2600 2660 2800 2821 2945 3100 3224 3316 3325 3458 3472 3640 3800 3952 4030 4123 4145 4340 4550 4712 4804 4940 5200 5320 5425 5642 5803 5890 6005 6175 6200 6448 6632 6650 6916 7280 7600 7657 8060 8246 8290 8407 8645 8680 9100 9424 9608 9880 10075 10640 10777 10850 11284 11606 11780 12010 12350 12400 13264 13300 13832 14105 14725 15314 15613 15751 16120 16492 16580 16814 17290 17360 18200 19216 19760 20150 20615 20725 21554 21700 22568 22819 23212 23560 24020 24700 25699 26600 27664 28210 29015 29450 30025 30628 31226 31502 32240 32984 33160 33628 34580 36400 37231 38285 40300 41230 41450 42035 43108 43225 43400 45136 45638 46424 47120 48040 49400 51398 53200 53599 53885 56420 58030 58900 60050 61256 62452 63004 65968 66320 67256 69160 70525 74462 75439 76570 78065 78755 80600 82460 82900 84070 86216 86450 86800 91276 92848 96080 98800 102796 103075 107198 107770 109291 110257 112840 114095 116060 117800 120100 122512 124904 126008 128495 134512 138320 141050 145075 148924 150878 153140 156130 157510 159733 161200 164920 165800 168140 172432 172900 179893 182552 186155 191425 204763 205592 206150 210175 214396 215540 218582 220514 225680 228190 232120 235600 240200 249808 252016 256990 260617 267995 269425 282100 290150 296647 297848 301756 306280 312260 315020 319466 329840 331600 334087 336280 345800 359786 365104 372310 377195 382850 390325 393775 409526 411184 412300 420350 428792 431080 437164 441028 456380 464240 480400 484003 488281 513980 521234 535990 538850 546455 551285 564200 570475 580300 593294 595696 603512 612560 624520 630040 638932 642475 668174 672560 691600 707389 719572 744620 754390 765700 780650 787550 798665 819052 824600 840700 857584 862160 874328 882056 899465 912760 930775 968006 976562 995629 1023815 1027960 1042468 1071980 1077700 1092910 1102570 1128400 1140950 1160600 1186588 1207024 1249040 1260080 1277864 1284950 1303085 1336348 1339975 1414778 1433341 1439144 1483235 1489240 1508780 1531400 1561300 1575100 1597330 1638104 1649200 1670435 1681400 1748656 1764112 1798930 1825520 1861550 1885975 1936012 1953124 1991258 2047630 2055920 2076529 2084936 2143960 2155400 2185820 2205140 2281900 2321200 2338609 2373176 2420015 2441405 2555728 2569900 2606170 2672696 2679950 2732275 2756425 2829556 2866682 2878288 2966470 2978480 3017560 3062800 3122600 3150200 3194660 3276208 3340870 3362800 3388021 3417967 3536945 3597860 3723100 3771950 3872024 3906248 3982516 3993325 4095260 4153058 4169872 4287920 4310800 4371640 4410280 4497325 4563800 4677218 4746352 4840030 4882810 4951723 4978145 5119075 5139800 5212340 5345392 5359900 5464550 5512850 5659112 5733364 5932940 6035120 6245200 6300400 6347653 6389320 6515425 6681740 6776042 6835934 6969403 7073890 7166705 7195720 7416175 7446200 7543900 7744048 7812496 7965032 7986650 8190520 8306116 8352175 8743280 8820560 8994650 9127600 9196057 9354436 9680060 9765620 9903446 9956290 10238150 10279600 10382645 10424680 10719800 10929100 11025700 11318224 11466728 11693045 11865880 12100075 12207025 12695306 12778640 12943177 13030850 13363480 13552084 13671868 13938806 14147780 14333410 14391440 14832350 14892400 15087800 15930064 15973300 16381040 16612232 16704350 16940105 17089835 17684725 17989300 18392114 18708872 18916951 19360120 19531240 19806892 19912580 20476300 20765290 20849360 21439600 21858200 22051400 22933456 23386090 23731760 24200150 24414050 24758615 24890725 25390612 25886354 26061700 26726960 27104168 27343736 27877612 28295560 28666820 29664700 30175600 30864499 31738265 31946600 33224464 33408700 33880210 34179670 34847015 35369450 35833525 35978600 36784228 37417744 37833902 38720240 39062480 39613784 39825160 40952600 41530580 43716400 44102800 44433571 45980285 46772180 48400300 48828100 49517230 49781450 50781224 51772708 51913225 52123400 54208336 54687472 55755224 56591120 57333640 58465225 59329400 61728998 63476530 63893200 64372399 64715885 66817400 67760420 68359340 69694030 70738900 71667050 71957200 73568456 75667804 79227568 79650320 81905200 83061160 84700525 85449175 88867142 90602239 91960570 93544360 94584755 96800600 97656200 99034460 99562900 101562448 103545416 103826450 104246800 111510448 114667280 116930450 118658800 123457996 123793075 126953060 128744798 129431770 132418657 133634800 135520840 136718680 139388060 141477800 143334100 147136912 151335608 154322495 158691325 166122320 169401050 170898350 174235075 177734284 181204478 183921140 187088720 189169510 193601200 195312400 198068920 199125800 207090832 207652900 216051493 222167855 229901425 233860900 245920363 246915992 247586150 253906120 257489596 258863540 264837314 271041680 273437360 278776120 282955600 286668200 302671216 308644990 317382650 321861995 323579425 338802100 341796700 348470150 355468568 362408956 367842280 378339020 396137840 398251600 401238487 415305800 432102986 444335710 453011195 459802850 467721800 472923775 491840726 493831984 495172300 507812240 514979192 517727080 529674628 557552240 573336400 586425481 617289980 634765300 643723990 647158850 662093285 677604200 683593400 696940300 710937136 724817912 735684560 756678040 771612475 802476974 830611600 864205972 888671420 906022390 919605700 935443600 945847550 983681452 990344600 1029958384 1035454160 1059349256 1080257465 1110839275 1172850962 1229601815 1234579960 1269530600 1287447980 1294317700 1324186570 1355208400 1367186800 1393880600 1449635824 1513356080 1543224950 1604953948 1609309975 1721442541 1728411944 1777342840 1812044780 1839211400 1891695100 1967362904 1980689200 2006192435 2118698512 2160514930 2221678550 2265055975 2345701924 2459203630 2469159920 2539061200 2574895960 2588635400 2648373140 2787761200 2808669409 2932127405 3086449900 3209907896 3218619950 3310466425 3442885082 3456823888 3554685680 3624089560 3678422800 3783390200 3934725808 4012384870 4104978367 4321029860 4443357100 4530111950 4691403848 4918407260 5149791920 5177270800 5296746280 5401287325 5617338818 5864254810 6148009075 6172899800 6419815792 6437239900 6620932850 6885770164 7248179120 7566780400 7623531253 8024769740 8209956734 8607212705 8642059720 8886714200 9060223900 9382807696 9836814520 10030962175 10593492560 10802574650 11234677636 11728509620 12296018150 12345799600 12874479800 13241865700 13771540328 14043347045 14660637025 15247062506 16049539480 16419913468 17214425410 17284119440 17773428400 18120447800 19673629040 20061924350 20524891835 21605149300 22469355272 23457019240 24592036300 25748959600 26483731400 27543080656 28086694090 29321274050 30494125012 32099078960 32839826936 34428850820 36240895600 38117656265 40123848700 41049783670 43036063525 43210298600 44938710544 46914038480 49184072600 52967462800 53364718771 56173388180 58642548100 60988250024 65679653872 68857701640 70216735225 76235312530 80247697400 82099567340 86072127050 86420597200 98368145200 102624459175 106729437542 112346776360 117285096200 121976500048 137715403280 140433470450 152470625060 160495394800 164199134680 172144254100 190588281325 205248918350 213458875084 224693552720 234570192400 266823593855 280866940900 304941250120 328398269360 344288508200 381176562650 410497836700 426917750168 533647187710 561733881800 609882500240 688577016400 762353125300 820995673400 853835500336 1067294375420 1123467763600 1334117969275 1524706250600 1641991346800 2134588750840 2668235938550 3049412501200 4269177501680 5336471877100 10672943754200 21345887508400
• Sum of all divisors σ(n): 68723290316800
• Sum of proper divisors (its aliquot sum) s(n): 47377402808400
• 21345887508400 is an abundant number, because the sum of its proper divisors (47377402808400) is greater than itself. Its abundance is 26031515300000

Bases of 21345887508400

• Binary: 100110110100111111010000010101101011110110000₂
• Hexadecimal: 0x1369FA0AD7B0
• Base-36: 7KE5YAD9S

Squares and roots of 21345887508400

• 21345887508400 squared (21345887508400²) is 455646913521267160070560000
• 21345887508400 cubed (21345887508400³) is 9726187759574631729889309966592704000000
• The square root of 21345887508400 is 4620160.9829528667
• The cube root of 21345887508400 is 27739.8902689625

Scales and comparisons

• 21,345,887,508,400 seconds is equal to 678,733 years, 10 weeks, 1 day, 4 hours, 46 minutes, 40 seconds.
• To count from 1 to 21,345,887,508,400 would take you about one million, six hundred ninety-six thousand, eight hundred thirty-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 21345887508400 cubic inches would be around 2311.7 feet tall.

Recreational maths with 21345887508400

• 21345887508400 backwards is 00480578854312
• The number of decimal digits it has is: 14
• The sum of 21345887508400's digits is 55
• More coming soon!