21346332470400
21,346,332,470,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 21346332470400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
21346332470400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 21346332470400:
27 × 3 × 52 × 7 × 97 × 353 × 9277
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 97 × 353 × 9277)See below for interesting mathematical facts about the number 21346332470400 from the Numbermatics database.
Names of 21346332470400
- Cardinal: 21346332470400 can be written as Twenty-one trillion, three hundred forty-six billion, three hundred thirty-two million, four hundred seventy thousand, four hundred.
Scientific notation
- Scientific notation: 2.13463324704 × 1013
Factors of 21346332470400
Divisors of 21346332470400
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 64 70 75 80 84 96 97 100 105 112 120 128 140 150 160 168 175 192 194 200 210 224 240 280 291 300 320 336 350 353 384 388 400 420 448 480 485 525 560 582 600 640 672 679 700 706 776 800 840 896 960 970 1050 1059 1120 1164 1200 1344 1358 1400 1412 1455 1552 1600 1680 1765 1920 1940 2037 2100 2118 2240 2328 2400 2425 2471 2688 2716 2800 2824 2910 3104 3200 3360 3395 3530 3880 4074 4200 4236 4480 4656 4800 4850 4942 5295 5432 5600 5648 5820 6208 6720 6790 7060 7275 7413 7760 8148 8400 8472 8825 9277 9312 9600 9700 9884 10185 10590 10864 11200 11296 11640 12355 12416 13440 13580 14120 14550 14826 15520 16296 16800 16944 16975 17650 18554 18624 19400 19768 20370 21180 21728 22400 22592 23280 24710 26475 27160 27831 28240 29100 29652 31040 32592 33600 33888 33950 34241 35300 37065 37108 37248 38800 39536 40740 42360 43456 45184 46385 46560 49420 50925 52950 54320 55662 56480 58200 59304 61775 62080 64939 65184 67200 67776 67900 68482 70600 74130 74216 77600 79072 81480 84720 86912 92770 93120 98840 101850 102723 105900 108640 111324 112960 116400 118608 123550 129878 130368 135552 135800 136964 139155 141200 148260 148432 155200 158144 162960 169440 171205 185325 185540 186240 194817 197680 203700 205446 211800 217280 222648 225920 231925 232800 237216 239687 247100 259756 260736 271600 273928 278310 282400 296520 296864 310400 316288 324695 325920 338880 342410 370650 371080 389634 395360 407400 410892 423600 434560 445296 463850 465600 474432 479374 494200 513615 519512 543200 547856 556620 564800 593040 593728 649390 651840 677760 684820 695775 719061 741300 742160 779268 790720 814800 821784 847200 856025 890592 899869 927700 931200 948864 958748 974085 988400 1027230 1039024 1086400 1095712 1113240 1129600 1186080 1187456 1198435 1298780 1303680 1369640 1391550 1438122 1482600 1484320 1558536 1581440 1623475 1629600 1643568 1694400 1712050 1781184 1799738 1855400 1917496 1948170 1976800 2054460 2078048 2172800 2191424 2226480 2372160 2396870 2568075 2597560 2699607 2739280 2783100 2876244 2965200 2968640 3117072 3246950 3259200 3274781 3287136 3388800 3424100 3562368 3595305 3599476 3710800 3834992 3896340 3953600 4108920 4156096 4382848 4452960 4499345 4744320 4793740 4870425 5136150 5195120 5399214 5478560 5566200 5752488 5930400 5937280 5992175 6234144 6299083 6493900 6518400 6549562 6574272 6848200 7190610 7198952 7421600 7669984 7792680 7907200 8217840 8312192 8905920 8998690 9587480 9740850 9824343 10272300 10390240 10798428 10957120 11132400 11504976 11860800 11984350 12468288 12598166 12987800 13099124 13148544 13498035 13696400 14381220 14397904 14843200 15339968 15585360 16373905 16435680 17811840 17976525 17997380 18897249 19174960 19481700 19648686 20544600 20780480 21596856 21914240 22264800 22496725 22923467 23009952 23721600 23968700 24936576 25196332 25975600 26198248 26996070 27392800 28762440 28795808 29686400 30679936 31170720 31495415 32747810 32871360 35953050 35994760 37794498 38349920 38963400 39297372 41089200 41560960 43193712 44529600 44993450 45846934 46019904 47937400 49121715 50392664 51951200 52396496 53992140 54785600 57524880 57591616 62341440 62990830 65495620 65742720 67490175 68770401 71906100 71989520 75588996 76699840 77926800 78594744 81869525 82178400 86387424 89059200 89986900 91693868 92039808 94486245 95874800 98243430 100785328 103902400 104792992 107984280 109571200 114617335 115049760 115183232 124682880 125981660 130991240 134980350 137540802 143812200 143979040 151177992 153399680 155853600 157189488 157477075 163739050 164356800 172774848 179973800 183387736 188972490 191749600 196486860 201570656 207804800 209585984 215968560 229234670 230099520 245608575 251963320 261982480 269960700 275081604 287624400 287958080 302355984 311707200 314378976 314954150 317653757 327478100 328713600 343852005 345549696 359947600 366775472 377944980 383499200 392973720 403141312 419171968 431937120 458469340 460199040 472431225 491217150 503926640 523964960 539921400 550163208 573086675 575248800 575916160 604711968 623414400 628757952 629908300 635307514 654956200 687704010 719895200 733550944 755889960 766998400 785947440 806282624 863874240 916938680 944862450 952961271 982434300 1007853280 1047929920 1079842800 1100326416 1146173350 1150497600 1209423936 1257515904 1259816600 1270615028 1309912400 1375408020 1439790400 1467101888 1511779920 1571894880 1588268785 1719260025 1727748480 1833877360 1889724900 1905922542 1964868600 2015706560 2095859840 2159685600 2200652832 2223576299 2292346700 2300995200 2418847872 2519633200 2541230056 2619824800 2750816040 2879580800 2934203776 3023559840 3143789760 3176537570 3438520050 3667754720 3779449800 3811845084 3929737200 4031413120 4319371200 4401305664 4447152598 4584693400 4764806355 5039266400 5082460112 5239649600 5501632080 6047119680 6287579520 6353075140 6670728897 6877040100 7335509440 7558899600 7623690168 7859474400 7941343925 8638742400 8802611328 8894305196 9169386800 9529612710 10078532800 10164920224 10479299200 11003264160 11117881495 12094239360 12706150280 13341457794 13754080200 14671018880 15117799200 15247380336 15718948800 15882687850 17788610392 18338773600 19059225420 20157065600 20329840448 22006528320 22235762990 23824031775 25412300560 26682915588 27508160400 30235598400 30494760672 31437897600 31765375700 33353644485 35577220784 36677547200 38118450840 40659680896 44013056640 44471525980 47648063550 50824601120 53365831176 55016320800 55589407475 60471196800 60989521344 63530751400 66707288970 71154441568 73355094400 76236901680 88943051960 95296127100 101649202240 106731662352 110032641600 111178814950 121979042688 127061502800 133414577940 142308883136 152473803360 166768222425 177886103920 190592254200 203298404480 213463324704 220065283200 222357629900 254123005600 266829155880 284617766272 304947606720 333536444850 355772207840 381184508400 426926649408 444715259800 508246011200 533658311760 609895213440 667072889700 711544415680 762369016800 853853298816 889430519600 1016492022400 1067316623520 1334145779400 1423088831360 1524738033600 1778861039200 2134633247040 2668291558800 3049476067200 3557722078400 4269266494080 5336583117600 7115444156800 10673166235200 21346332470400
- Sum of all divisors σ(n): 81420836232960
- Sum of proper divisors (its aliquot sum) s(n): 60074503762560
- 21346332470400 is an abundant number, because the sum of its proper divisors (60074503762560) is greater than itself. Its abundance is 38728171292160
Bases of 21346332470400
- Binary: 1001101101010000101001001000001101100100000002
- Hexadecimal: 0x136A14906C80
- Base-36: 7KEDB7G5C
Squares and roots of 21346332470400
- 21346332470400 squared (213463324704002) is 455665909936853366876160000
- 21346332470400 cubed (213463324704003) is 9726796008939415038952138023665664000000
-
The
square root of 21346332470400 is 4620209.1370845975 -
The
cube root of 21346332470400 is 27740.0830166487
Scales and comparisons
How big is 21346332470400?- 21,346,332,470,400 seconds is equal to 678,747 years, 17 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 21,346,332,470,400 would take you about one million, six hundred ninety-six thousand, eight hundred sixty-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 21346332470400 cubic inches would be around 2311.7 feet tall.
Recreational maths with 21346332470400
- 21346332470400 backwards is 00407423364312
- The number of decimal digits it has is: 14
- The sum of 21346332470400's digits is 39
- More coming soon!
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