53138947366400
53,138,947,366,400 is an even composite number composed of four prime numbers multiplied together.
53138947366400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 53138947366400:
29 × 52 × 77 × 712
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 71 × 71)See below for interesting mathematical facts about the number 53138947366400 from the Numbermatics database.
Names of 53138947366400
- Cardinal: 53138947366400 can be written as Fifty-three trillion, one hundred thirty-eight billion, nine hundred forty-seven million, three hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 5.31389473664 × 1013
Factors of 53138947366400
Divisors of 53138947366400
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 71 80 98 100 112 128 140 142 160 175 196 200 224 245 256 280 284 320 343 350 355 392 400 448 490 497 512 560 568 640 686 700 710 784 800 896 980 994 1120 1136 1225 1280 1372 1400 1420 1568 1600 1715 1775 1792 1960 1988 2240 2272 2401 2450 2485 2560 2744 2800 2840 3136 3200 3430 3479 3550 3584 3920 3976 4480 4544 4802 4900 4970 5041 5488 5600 5680 6272 6400 6860 6958 7100 7840 7952 8575 8960 9088 9604 9800 9940 10082 10976 11200 11360 12005 12425 12544 12800 13720 13916 14200 15680 15904 16807 17150 17395 17920 18176 19208 19600 19880 20164 21952 22400 22720 24010 24353 24850 25088 25205 27440 27832 28400 31360 31808 33614 34300 34790 35287 36352 38416 39200 39760 40328 43904 44800 45440 48020 48706 49700 50410 54880 55664 56800 60025 62720 63616 67228 68600 69580 70574 76832 78400 79520 80656 84035 86975 87808 89600 90880 96040 97412 99400 100820 109760 111328 113600 117649 120050 121765 125440 126025 127232 134456 137200 139160 141148 153664 156800 159040 161312 168070 170471 173950 175616 176435 181760 192080 194824 198800 201640 219520 222656 227200 235298 240100 243530 247009 252050 254464 268912 274400 278320 282296 307328 313600 318080 322624 336140 340942 347900 352870 384160 389648 397600 403280 420175 439040 445312 454400 470596 480200 487060 494018 504100 537824 548800 556640 564592 588245 608825 614656 627200 636160 645248 672280 681884 695800 705740 768320 779296 795200 806560 823543 840350 852355 878080 882175 890624 908800 941192 960400 974120 988036 1008200 1075648 1097600 1113280 1129184 1176490 1193297 1217650 1229312 1235045 1272320 1290496 1344560 1363768 1391600 1411480 1536640 1558592 1590400 1613120 1647086 1680700 1704710 1729063 1764350 1781248 1882384 1920800 1948240 1976072 2016400 2151296 2195200 2226560 2258368 2352980 2386594 2435300 2470090 2580992 2689120 2727536 2783200 2822960 2941225 3073280 3117184 3180800 3226240 3294172 3361400 3409420 3458126 3528700 3764768 3841600 3896480 3952144 4032800 4117715 4261775 4302592 4390400 4453120 4516736 4705960 4773188 4870600 4940180 5378240 5455072 5566400 5645920 5882450 5966485 6146560 6175225 6234368 6361600 6452480 6588344 6722800 6818840 6916252 7057400 7529536 7683200 7792960 7904288 8065600 8235430 8353079 8523550 8605184 8645315 8906240 9033472 9411920 9546376 9741200 9880360 10756480 10910144 11132800 11291840 11764900 11932970 12103441 12350450 12468736 12904960 13176688 13445600 13637680 13832504 14114800 15059072 15366400 15585920 15808576 16131200 16470860 16706158 17047100 17290630 18066944 18823840 19092752 19482400 19760720 20588575 21512960 21820288 22265600 22583680 23529800 23865940 24206882 24700900 26353376 26891200 27275360 27665008 28229600 29832425 30118144 30732800 31171840 31617152 32262400 32941720 33412316 34094200 34581260 37647680 38185504 38964800 39521440 41177150 41765395 43025920 43226575 43640576 44531200 45167360 47059600 47731880 48413764 49401800 52706752 53782400 54550720 55330016 56459200 58471553 59664850 60236288 60517205 62343680 63234304 64524800 65883440 66824632 68188400 69162520 75295360 76371008 77929600 79042880 82354300 83530790 84724087 86453150 87281152 90334720 94119200 95463760 96827528 98803600 105413504 107564800 109101440 110660032 112918400 116943106 119329700 121034410 126468608 131766880 133649264 136376800 138325040 150590720 152742016 155859200 158085760 164708600 167061580 169448174 172906300 188238400 190927520 193655056 197607200 208826975 210827008 215129600 218202880 221320064 225836800 233886212 238659400 242068820 263533760 267298528 272753600 276650080 292357765 301181440 302586025 305484032 311718400 316171520 329417200 334123160 338896348 345812600 376476800 381855040 387310112 395214400 417653950 421654016 423620435 436405760 442640128 451673600 467772424 477318800 484137640 527067520 534597056 545507200 553300160 584715530 593068609 605172050 610968064 632343040 658834400 668246320 677792696 691625200 752953600 763710080 774620224 790428800 835307900 847240870 885280256 935544848 954637600 968275280 1054135040 1069194112 1091014400 1106600320 1169431060 1186137218 1210344100 1317668800 1336492640 1355585392 1383250400 1461788825 1505907200 1527420160 1549240448 1580857600 1670615800 1694481740 1871089696 1909275200 1936550560 2108270080 2118102175 2138388224 2182028800 2213200640 2338862120 2372274436 2420688200 2635337600 2672985280 2711170784 2766500800 2923577650 2965343045 3054840320 3098480896 3161715200 3341231600 3388963480 3742179392 3818550400 3873101120 4151480263 4236204350 4276776448 4426401280 4677724240 4744548872 4841376400 5270675200 5345970560 5422341568 5533001600 5847155300 5930686090 6196961792 6682463200 6777926960 7484358784 7637100800 7746202240 8302960526 8472408700 9355448480 9489097744 9682752800 10541350400 10691941120 10844683136 11066003200 11694310600 11861372180 13364926400 13555853920 14826715225 14968717568 15274201600 15492404480 16605921052 16944817400 18710896960 18978195488 19365505600 20757401315 21383882240 21689366272 22132006400 23388621200 23722744360 26729852800 27111707840 29653430450 29937435136 30984808960 33211842104 33889634800 37421793920 37956390976 38731011200 41514802630 43378732544 46777242400 47445488720 53459705600 54223415680 59306860900 66423684208 67779269600 74843587840 75912781952 77462022400 83029605260 93554484800 94890977440 103787006575 106919411200 108446831360 118613721800 132847368416 135558539200 149687175680 151825563904 154924044800 166059210520 187108969600 189781954880 207574013150 216893662720 237227443600 265694736832 271117078400 303651127808 332118421040 374217939200 379563909760 415148026300 474454887200 531389473664 542234156800 664236842080 748435878400 759127819520 830296052600 948909774400 1062778947328 1084468313600 1328473684160 1518255639040 1660592105200 1897819548800 2125557894656 2656947368320 3321184210400 3795639097600 5313894736640 6642368420800 7591278195200 10627789473280 13284736841600 26569473683200 53138947366400
- Sum of all divisors σ(n): 155792345095200
- Sum of proper divisors (its aliquot sum) s(n): 102653397728800
- 53138947366400 is an abundant number, because the sum of its proper divisors (102653397728800) is greater than itself. Its abundance is 49514450362400
Bases of 53138947366400
- Binary: 11000001010100011000000001010011011110000000002
- Hexadecimal: 0x30546014DE00
- Base-36: IU3P196GW
Squares and roots of 53138947366400
- 53138947366400 squared (531389473664002) is 2823747727209029495848960000
- 53138947366400 cubed (531389473664003) is 150050981852152243550743012724178944000000
-
The
square root of 53138947366400 is 7289646.5872084635 -
The
cube root of 53138947366400 is 37595.6544336551
Scales and comparisons
How big is 53138947366400?- 53,138,947,366,400 seconds is equal to 1,689,654 years, 8 weeks, 1 day, 53 minutes, 20 seconds.
-
To count from 1 to 53,138,947,366,400 would take you about four million, two hundred twenty-four thousand, one hundred thirty-five 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 53138947366400 cubic inches would be around 3133 feet tall.
Recreational maths with 53138947366400
- 53138947366400 backwards is 00466374983135
- The number of decimal digits it has is: 14
- The sum of 53138947366400's digits is 59
- More coming soon!
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