138806164224
138,806,164,224 is an even composite number composed of seven prime numbers multiplied together.
138806164224 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138806164224:
28 × 32 × 7 × 13 × 29 × 37 × 617
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 29 × 37 × 617)See below for interesting mathematical facts about the number 138806164224 from the Numbermatics database.
Names of 138806164224
- Cardinal: 138806164224 can be written as One hundred thirty-eight billion, eight hundred six million, one hundred sixty-four thousand, two hundred twenty-four.
Scientific notation
- Scientific notation: 1.38806164224 × 1011
Factors of 138806164224
Divisors of 138806164224
- Number of divisors d(n): 864
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 29 32 36 37 39 42 48 52 56 58 63 64 72 74 78 84 87 91 96 104 111 112 116 117 126 128 144 148 156 168 174 182 192 203 208 222 224 232 234 252 256 259 261 273 288 296 312 333 336 348 364 377 384 406 416 444 448 464 468 481 504 518 522 546 576 592 609 617 624 666 672 696 728 754 768 777 812 819 832 888 896 928 936 962 1008 1036 1044 1073 1092 1131 1152 1184 1218 1234 1248 1332 1344 1392 1443 1456 1508 1554 1624 1638 1664 1776 1792 1827 1851 1856 1872 1924 2016 2072 2088 2146 2184 2262 2304 2331 2368 2436 2468 2496 2639 2664 2688 2784 2886 2912 3016 3108 3219 3248 3276 3328 3367 3393 3552 3654 3702 3712 3744 3848 4032 4144 4176 4292 4319 4329 4368 4524 4662 4736 4872 4936 4992 5278 5328 5376 5553 5568 5772 5824 6032 6216 6438 6496 6552 6734 6786 7104 7308 7404 7424 7488 7511 7696 7917 8021 8064 8288 8352 8584 8638 8658 8736 9048 9324 9472 9657 9744 9872 9984 10101 10556 10656 11106 11136 11544 11648 12064 12432 12876 12957 12992 13104 13468 13572 13949 14208 14616 14808 14976 15022 15392 15834 16042 16128 16576 16704 17168 17276 17316 17472 17893 18096 18648 19314 19488 19744 20202 21112 21312 22212 22272 22533 22829 23088 23296 23751 24063 24128 24864 25752 25914 25984 26208 26936 27144 27898 28416 29232 29616 29952 30044 30303 30784 31668 32084 33152 33408 34336 34552 34632 34944 35786 36192 37296 38628 38871 38976 39488 40404 41847 42224 42624 44424 45066 45658 46176 47502 48126 48256 49728 51504 51828 51968 52416 53679 53872 54288 55796 56147 58464 59232 60088 60606 61568 63336 64168 66304 66816 67599 68487 68672 69104 69264 69888 71572 72189 72384 74592 77256 77742 77952 78976 80808 83694 84448 85248 88848 90132 91316 92352 95004 96252 96512 97643 99456 103008 103656 104832 107358 107744 108576 111592 112294 116928 118464 120176 121212 123136 125251 125541 126672 128336 135198 136974 137344 138208 138528 143144 144378 144768 149184 154512 155484 155904 157952 159803 161037 161616 167388 168441 168896 177696 180264 182632 184704 190008 192504 195286 198912 205461 206016 207312 209664 214716 215488 217152 223184 224588 232609 233856 236928 240352 242424 250502 251082 253344 256672 270396 273948 274688 276416 277056 286288 288756 289536 292929 296777 298368 309024 310968 319606 322074 323232 334776 336882 337792 355392 360528 365264 369408 375753 380016 385008 390572 410922 412032 414624 429432 430976 434304 446368 449176 465218 467712 473856 479409 480704 484848 501004 502164 505323 506688 513344 540792 547896 552832 554112 572576 577512 585858 593554 596736 618048 621936 639212 644148 646464 662041 669552 673764 675584 697827 710784 721056 730528 751506 760032 770016 781144 821844 824064 829248 858864 861952 868608 878787 890331 892736 898352 930436 958818 961408 969696 1002008 1004328 1010646 1013376 1026688 1081584 1095792 1105664 1108224 1127259 1145152 1155024 1171716 1187108 1236096 1243872 1278424 1288296 1292928 1324082 1339104 1347528 1395654 1421568 1438227 1442112 1461056 1503012 1520064 1540032 1562288 1628263 1643688 1658496 1717728 1757574 1780662 1785472 1796704 1860872 1917636 1922816 1939392 1986123 2004016 2008656 2021292 2026752 2053376 2077439 2093481 2163168 2191584 2254518 2290304 2310048 2343432 2374216 2472192 2487744 2556848 2576592 2585856 2648164 2670993 2678208 2695056 2791308 2876454 2884224 2922112 3006024 3040128 3080064 3124576 3256526 3287376 3316992 3435456 3515148 3561324 3570944 3593408 3721744 3835272 3878784 3972246 4008032 4017312 4042584 4154878 4186962 4326336 4383168 4509036 4580608 4620096 4634287 4686864 4748432 4884789 4975488 5113696 5153184 5296328 5341986 5356416 5390112 5582616 5752908 5768448 5844224 5958369 6012048 6080256 6160128 6232317 6249152 6513052 6574752 6870912 7030296 7122648 7186816 7443488 7670544 7757568 7944492 8016064 8034624 8085168 8309756 8373924 8606533 8652672 8766336 9018072 9240192 9268574 9373728 9496864 9769578 9950976 10227392 10306368 10592656 10683972 10712832 10780224 11165232 11505816 11916738 12024096 12464634 12498304 13026104 13149504 13741824 13902861 14060592 14245296 14373632 14654367 14886976 15341088 15888984 16032128 16069248 16170336 16619512 16747848 17213066 17305344 17532672 18036144 18480384 18537148 18696951 18747456 18993728 19539156 20454784 20612736 21185312 21367944 21560448 22330464 23011632 23833476 24048192 24929268 24996608 25819599 26052208 26299008 27805722 28121184 28490592 29308734 29773952 30682176 31777968 32064256 32138496 32340672 33239024 33495696 34426132 36072288 37074296 37393902 37494912 37987456 39078312 40909568 41225472 41708583 42370624 42735888 43120896 44660928 46023264 47666952 48096384 49858536 51639198 52104416 52598016 55611444 56242368 56981184 58617468 59547904 60245731 61364352 63555936 64681344 66478048 66991392 68852264 72144576 74148592 74787804 74989824 75974912 77458797 78156624 83417166 84741248 85471776 89321856 92046528 95333904 96192768 99717072 103278396 104208832 111222888 112484736 113962368 117234936 120491462 122728704 127111872 129362688 132956096 133982784 137704528 144289152 148297184 149575608 154917594 156313248 166834332 169482496 170943552 178643712 180737193 184093056 190667808 199434144 206556792 208417664 222445776 224969472 227924736 234469872 240982924 254223744 265912192 267965568 275409056 288578304 296594368 299151216 309835188 312626496 333668664 341887104 361474386 368186112 381335616 398868288 413113584 416835328 444891552 468939744 481965848 508447488 531824384 535931136 542211579 550818112 593188736 598302432 619670376 625252992 667337328 683774208 722948772 762671232 797736576 826227168 889783104 937879488 963931696 1084423158 1101636224 1186377472 1196604864 1239340752 1250505984 1334674656 1445897544 1525342464 1595473152 1652454336 1779566208 1875758976 1927863392 2168846316 2203272448 2393209728 2478681504 2669349312 2891795088 3304908672 3559132416 3751517952 3855726784 4337692632 4786419456 4957363008 5338698624 5783590176 6609817344 7711453568 8675385264 9914726016 10677397248 11567180352 15422907136 17350770528 19829452032 23134360704 34701541056 46268721408 69403082112 138806164224
- Sum of all divisors σ(n): 524174152320
- Sum of proper divisors (its aliquot sum) s(n): 385367988096
- 138806164224 is an abundant number, because the sum of its proper divisors (385367988096) is greater than itself. Its abundance is 246561823872
Bases of 138806164224
- Binary: 100000010100010111110111111011000000002
- Hexadecimal: 0x20517DFB00
- Base-36: 1RRLLTS0
Squares and roots of 138806164224
- 138806164224 squared (1388061642242) is 19267151226580057522176
- 138806164224 cubed (1388061642243) is 2674399357285314498306528377831424
-
The
square root of 138806164224 is 372566.9929341567 -
The
cube root of 138806164224 is 5177.6924599837
Scales and comparisons
How big is 138806164224?- 138,806,164,224 seconds is equal to 4,413 years, 31 weeks, 3 days, 19 hours, 50 minutes, 24 seconds.
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To count from 1 to 138,806,164,224 would take you about eight thousand, eight hundred twenty-seven 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 138806164224 cubic inches would be around 431.5 feet tall.
Recreational maths with 138806164224
- 138806164224 backwards is 422461608831
- The number of decimal digits it has is: 12
- The sum of 138806164224's digits is 45
- More coming soon!
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The information we have on file for 138806164224 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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