138814355680
138,814,355,680 is an even composite number composed of seven prime numbers multiplied together.
138814355680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138814355680:
25 × 5 × 7 × 113 × 132 × 19 × 29
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 11 × 11 × 11 × 13 × 13 × 19 × 29)See below for interesting mathematical facts about the number 138814355680 from the Numbermatics database.
Names of 138814355680
- Cardinal: 138814355680 can be written as One hundred thirty-eight billion, eight hundred fourteen million, three hundred fifty-five thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3881435568 × 1011
Factors of 138814355680
Divisors of 138814355680
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 19 20 22 26 28 29 32 35 38 40 44 52 55 56 58 65 70 76 77 80 88 91 95 104 110 112 116 121 130 133 140 143 145 152 154 160 169 176 182 190 203 208 209 220 224 232 242 247 260 266 280 286 290 304 308 319 338 352 364 377 380 385 406 416 418 440 455 464 484 494 520 532 551 560 572 580 605 608 616 638 665 676 715 728 754 760 770 812 836 845 847 880 910 928 968 988 1001 1015 1040 1045 1064 1102 1120 1144 1160 1183 1210 1232 1235 1276 1330 1331 1352 1430 1456 1463 1508 1520 1540 1573 1595 1624 1672 1690 1694 1729 1760 1820 1859 1885 1936 1976 2002 2030 2080 2090 2128 2204 2233 2288 2299 2320 2366 2420 2464 2470 2552 2639 2660 2662 2704 2717 2755 2860 2912 2926 3016 3040 3080 3146 3190 3211 3248 3344 3380 3388 3458 3509 3640 3718 3770 3857 3872 3952 4004 4060 4147 4180 4235 4256 4408 4466 4576 4598 4640 4732 4840 4901 4940 5005 5104 5278 5320 5324 5408 5434 5510 5720 5852 5915 6032 6061 6160 6292 6380 6422 6496 6655 6688 6760 6776 6916 7018 7163 7280 7315 7436 7540 7714 7865 7904 8008 8120 8294 8360 8470 8645 8816 8932 9196 9295 9317 9464 9680 9802 9880 10010 10208 10556 10640 10648 10868 11011 11020 11165 11440 11495 11704 11830 12064 12122 12320 12584 12760 12844 13013 13195 13310 13520 13552 13585 13832 14036 14326 14560 14630 14872 15080 15428 15730 16016 16055 16093 16240 16588 16720 16940 17290 17303 17545 17632 17864 18392 18590 18634 18928 19019 19285 19360 19604 19760 20020 20449 20735 21112 21280 21296 21736 22022 22040 22330 22477 22880 22990 23408 23660 24244 24505 24563 25168 25289 25520 25688 26026 26390 26620 27040 27104 27170 27664 28072 28652 29029 29260 29744 29887 30160 30305 30856 31460 32032 32110 32186 32480 33176 33440 33880 34307 34580 34606 35090 35321 35728 35815 36784 37180 37268 37856 38038 38570 38599 39208 39520 40040 40898 41470 42224 42427 42592 43472 44044 44080 44660 44954 45617 45980 46585 46816 47320 48488 49010 49126 50141 50336 50578 51040 51376 52052 52780 53240 53911 54340 55055 55328 56144 57304 58058 58520 59488 59774 60320 60610 61712 62920 64220 64372 65065 66352 66671 67760 68614 69160 69212 70180 70642 71456 71630 73568 74360 74536 76076 77140 77198 78416 78793 80080 80465 81796 82940 84448 84854 86515 86944 88088 88160 89320 89908 91234 91960 93119 93170 94640 95095 96976 98020 98252 100282 101156 102245 102752 104104 105560 106480 107822 108680 110110 112288 112385 114608 116116 117040 119548 121121 121220 122815 123424 125840 126445 128440 128744 130130 132704 133342 135520 137228 138320 138424 140360 141284 143143 143260 145145 148720 149072 149435 152152 154280 154396 156832 157586 160160 160930 163592 165880 169708 171535 173030 176176 176605 177023 178640 179816 182468 183920 186238 186340 189280 190190 192995 193952 196040 196504 200564 202312 204490 208208 209209 211120 212135 212960 215644 217360 220220 224770 224939 228085 229216 232232 234080 239096 242242 242440 245630 247247 250705 251680 252890 256880 257488 260260 266684 269555 270193 274456 276640 276848 280720 282568 286286 286520 290290 297440 298144 298870 304304 308560 308792 315172 319319 321860 327184 328757 331760 333355 339416 343070 346060 352352 353210 354046 357280 359632 364936 367840 372476 372680 377377 380380 385990 388531 392080 393008 393965 401128 404624 408980 416416 418418 422240 424270 431288 434720 440440 449540 449878 456170 464464 465595 466697 478192 484484 484880 491260 494494 501410 501787 505780 513760 514976 520520 533368 539110 540386 548912 551551 553696 561440 565136 572572 573040 580580 593021 597740 605605 608608 617120 617584 630344 638638 643720 651833 654368 657514 663520 666710 678832 686140 692120 706420 708092 715715 719264 729872 733381 744952 745360 754754 760760 771980 777062 784160 786016 787930 802256 809248 817960 836836 848540 862576 866723 880880 885115 899080 899756 912340 928928 931190 933394 956384 968968 969760 982520 988988 1002820 1003574 1011560 1024309 1041040 1046045 1066736 1078220 1080772 1097824 1103102 1124695 1130272 1145144 1146080 1161160 1186042 1195480 1211210 1235168 1236235 1260688 1277276 1287440 1303666 1315028 1333420 1350965 1357664 1372280 1384240 1412840 1416184 1431430 1459744 1466762 1489904 1490720 1509508 1521520 1543960 1554124 1574573 1575860 1596595 1604512 1635920 1643785 1673672 1697080 1725152 1733446 1761760 1770230 1798160 1799512 1824680 1862380 1866788 1886885 1937936 1942655 1965040 1977976 2005640 2007148 2023120 2048618 2082080 2092090 2133472 2156440 2161544 2206204 2249390 2290288 2301299 2322320 2333485 2372084 2390960 2422420 2472470 2508935 2521376 2554552 2574880 2607332 2630056 2666840 2701930 2719717 2744560 2757755 2768480 2825680 2832368 2862860 2933524 2965105 2979808 3019016 3043040 3087920 3108248 3149146 3151720 3193190 3259165 3271840 3287570 3347344 3394160 3466892 3512509 3540460 3596320 3599024 3649360 3666905 3724760 3733576 3773770 3875872 3885310 3930080 3955952 4011280 4014296 4046240 4097236 4151147 4184180 4273841 4312880 4323088 4333615 4412408 4498780 4580576 4602598 4644640 4666970 4744168 4781920 4844840 4944940 5017870 5109104 5121545 5133667 5214664 5260112 5333680 5403860 5439434 5489120 5515510 5651360 5664736 5725720 5867048 5930210 6038032 6067061 6175840 6216496 6298292 6303440 6386380 6518330 6523231 6575140 6694688 6788320 6933784 7025018 7080920 7170163 7198048 7298720 7333810 7449520 7467152 7547540 7770620 7872865 7911904 8022560 8028592 8194472 8302294 8368360 8547682 8625760 8646176 8667230 8824816 8997560 9205196 9333940 9488336 9533953 9689680 9889880 10035740 10218208 10243090 10267334 10429328 10520224 10667360 10807720 10878868 11031020 11267399 11451440 11506495 11734096 11860420 12076064 12134122 12432992 12596584 12606880 12772760 13036660 13046462 13150280 13598585 13867568 14050036 14161840 14340326 14667620 14899040 14934304 15095080 15541240 15745730 16057184 16388944 16604588 16736720 17095364 17334460 17562545 17649632 17995120 18410392 18667880 18976672 19067906 19379360 19779760 20071480 20486180 20534668 20755735 20858656 21369205 21615440 21757736 22062040 22534798 22902880 23012990 23468192 23720840 24268244 25193168 25545520 25668335 26073320 26092924 26300560 27197170 27735136 28100072 28323680 28680652 29335240 29916887 30190160 30335305 31082480 31491460 32616155 32777888 33209176 33473440 34190728 34668920 35125090 35850815 35990240 36820784 37335760 38135812 39559520 40142960 40972360 41069336 41511470 42738410 43230880 43515472 44124080 45069596 45662617 46025980 47441680 47669765 48536488 50386336 51091040 51336670 52146640 52185848 52601120 54394340 56200144 56336995 57361304 58670480 59833774 60380320 60670610 62164960 62982920 65232310 66418352 66737671 68381456 69337840 70250180 71701630 73641568 74671520 76271624 78871793 80285920 81944720 82138672 83022940 85476820 87030944 88248160 90139192 91325234 92051960 94883360 95339530 97072976 102673340 104293280 104371696 108788680 112400288 112673990 114722608 117340960 119667548 121341220 123941389 125965840 130464620 132836704 133475342 136762912 138675680 140500360 143403260 149584435 152543248 157743586 163889440 164277344 166045880 170953640 180278384 182650468 184103920 190679060 194145952 205346680 208743392 217577360 225347980 228313085 229445216 239335096 242682440 247882778 251931680 260929240 266950684 281000720 286806520 299168870 305086496 315487172 332091760 333688355 341907280 360556768 365300936 368207840 381358120 394358965 410693360 435154720 450695960 456626170 478670192 485364880 495765556 521858480 533901368 562001440 573613040 598337740 619706945 630974344 664183520 667376710 683814560 730601872 762716240 788717930 821386720 867589723 901391920 913252340 957340384 970729760 991531112 1043716960 1067802736 1147226080 1196675480 1239413890 1261948688 1334753420 1461203744 1525432480 1577435860 1735179446 1802783840 1826504680 1983062224 2135605472 2393350960 2478827780 2523897376 2669506840 3154871720 3470358892 3653009360 3966124448 4337948615 4786701920 4957655560 5339013680 6309743440 6940717784 7306018720 8675897230 9915311120 10678027360 12619486880 13881435568 17351794460 19830622240 27762871136 34703588920 69407177840 138814355680
- Sum of all divisors σ(n): 486099532800
- Sum of proper divisors (its aliquot sum) s(n): 347285177120
- 138814355680 is an abundant number, because the sum of its proper divisors (347285177120) is greater than itself. Its abundance is 208470821440
Bases of 138814355680
- Binary: 100000010100011111101011111000111000002
- Hexadecimal: 0x2051FAF8E0
- Base-36: 1RRQHECG
Squares and roots of 138814355680
- 138814355680 squared (1388143556802) is 19269425342853548262400
- 138814355680 cubed (1388143556803) is 2674872863292078394646839570432000
-
The
square root of 138814355680 is 372577.9860378227 -
The
cube root of 138814355680 is 5177.7943094609
Scales and comparisons
How big is 138814355680?- 138,814,355,680 seconds is equal to 4,413 years, 45 weeks, 15 hours, 14 minutes, 40 seconds.
-
To count from 1 to 138,814,355,680 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 138814355680 cubic inches would be around 431.5 feet tall.
Recreational maths with 138814355680
- 138814355680 backwards is 086553418831
- 138814355680 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138814355680's digits is 52
- More coming soon!
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The information we have on file for 138814355680 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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