138812033138688
138,812,033,138,688 is an even composite number composed of five prime numbers multiplied together.
What does the number 138812033138688 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1088 divisors.
138812033138688 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eighty-eight divisors.
Prime factorization of 138812033138688:
216 × 33 × 7 × 133 × 5101
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 13 × 13 × 5101)See below for interesting mathematical facts about the number 138812033138688 from the Numbermatics database.
Names of 138812033138688
- Cardinal: 138812033138688 can be written as One hundred thirty-eight trillion, eight hundred twelve billion, thirty-three million, one hundred thirty-eight thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 1.38812033138688 × 1014
Factors of 138812033138688
Divisors of 138812033138688
- Number of divisors d(n): 1088
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 63 64 72 78 84 91 96 104 108 112 117 126 128 144 156 168 169 182 189 192 208 216 224 234 252 256 273 288 312 336 338 351 364 378 384 416 432 448 468 504 507 512 546 576 624 672 676 702 728 756 768 819 832 864 896 936 1008 1014 1024 1092 1152 1183 1248 1344 1352 1404 1456 1512 1521 1536 1638 1664 1728 1792 1872 2016 2028 2048 2184 2197 2304 2366 2457 2496 2688 2704 2808 2912 3024 3042 3072 3276 3328 3456 3549 3584 3744 4032 4056 4096 4368 4394 4563 4608 4732 4914 4992 5101 5376 5408 5616 5824 6048 6084 6144 6552 6591 6656 6912 7098 7168 7488 8064 8112 8192 8736 8788 9126 9216 9464 9828 9984 10202 10647 10752 10816 11232 11648 12096 12168 12288 13104 13182 13312 13824 14196 14336 14976 15303 15379 16128 16224 16384 17472 17576 18252 18432 18928 19656 19773 19968 20404 21294 21504 21632 22464 23296 24192 24336 24576 26208 26364 26624 27648 28392 28672 29952 30606 30758 31941 32256 32448 32768 34944 35152 35707 36504 36864 37856 39312 39546 39936 40808 42588 43008 43264 44928 45909 46137 46592 48384 48672 49152 52416 52728 53248 55296 56784 57344 59319 59904 61212 61516 63882 64512 64896 65536 66313 69888 70304 71414 73008 73728 75712 78624 79092 79872 81616 85176 86016 86528 89856 91818 92274 93184 96768 97344 98304 104832 105456 106496 107121 110592 113568 114688 118638 119808 122424 123032 127764 129024 129792 132626 137727 138411 139776 140608 142828 146016 147456 151424 157248 158184 159744 163232 170352 172032 173056 179712 183636 184548 186368 193536 194688 196608 198939 209664 210912 212992 214242 221184 227136 229376 237276 239616 244848 246064 255528 258048 259584 265252 275454 276822 279552 281216 285656 292032 294912 302848 314496 316368 319488 321363 326464 340704 344064 346112 359424 367272 369096 372736 387072 389376 397878 415233 419328 421824 425984 428484 442368 454272 458752 464191 474552 479232 489696 492128 511056 516096 519168 530504 550908 553644 559104 562432 571312 584064 589824 596817 605696 628992 632736 638976 642726 652928 681408 688128 692224 718848 734544 738192 745472 774144 778752 795756 830466 838656 843648 851968 856968 862069 884736 908544 928382 949104 958464 964089 979392 984256 1022112 1032192 1038336 1061008 1101816 1107288 1118208 1124864 1142624 1168128 1193634 1211392 1257984 1265472 1277952 1285452 1305856 1362816 1376256 1384448 1392573 1437696 1469088 1476384 1490944 1548288 1557504 1591512 1660932 1677312 1687296 1713936 1724138 1769472 1790451 1817088 1856764 1898208 1916928 1928178 1958784 1968512 2044224 2064384 2076672 2122016 2203632 2214576 2236416 2249728 2285248 2336256 2387268 2422784 2515968 2530944 2555904 2570904 2586207 2611712 2725632 2768896 2785146 2875392 2938176 2952768 2981888 3096576 3115008 3183024 3321864 3354624 3374592 3427872 3448276 3580902 3634176 3713528 3796416 3833856 3856356 3917568 3937024 4088448 4128768 4153344 4177719 4244032 4407264 4429152 4472832 4499456 4570496 4672512 4774536 4845568 5031936 5061888 5141808 5172414 5223424 5451264 5537792 5570292 5750784 5876352 5905536 5963776 6034483 6193152 6230016 6366048 6643728 6709248 6749184 6855744 6896552 7161804 7268352 7427056 7592832 7667712 7712712 7758621 7835136 7874048 8176896 8306688 8355438 8488064 8814528 8858304 8945664 8998912 9140992 9345024 9549072 9691136 10063872 10123776 10283616 10344828 10446848 10902528 11075584 11140584 11206897 11501568 11752704 11811072 12068966 12386304 12460032 12533157 12732096 13287456 13418496 13498368 13711488 13793104 14323608 14536704 14854112 15185664 15425424 15517242 15670272 15748096 16353792 16613376 16710876 16976128 17629056 17716608 17891328 17997824 18103449 18281984 18690048 19098144 19382272 20127744 20247552 20567232 20689656 20893696 21805056 22281168 22413794 23003136 23275863 23505408 23622144 24137932 24920064 25066314 25464192 26574912 26836992 26996736 27422976 27586208 28647216 29073408 29708224 30371328 30850848 31034484 31340544 31496192 32707584 33226752 33421752 33620691 33952256 35258112 35433216 35995648 36206898 36563968 37380096 38196288 38764544 40255488 40495104 41134464 41379312 41787392 43610112 44562336 44827588 46551726 47010816 47244288 48275864 49840128 50132628 50928384 53149824 53673984 53993472 54310347 54845952 55172416 57294432 58146816 59416448 60742656 61701696 62068968 62681088 62992384 65415168 66843504 67241382 67904512 70516224 70866432 71991296 72413796 73127936 74760192 76392576 77529088 78448279 80510976 80990208 82268928 82758624 83574784 87220224 89124672 89655176 93103452 94021632 94488576 96551728 99680256 100265256 100862073 101856768 106299648 107986944 108620694 109691904 110344832 114588864 116293632 118832896 121485312 123403392 124137936 125362176 125984768 130830336 133687008 134482764 135809024 141032448 141732864 143982592 144827592 146255872 149520384 152785152 156896558 161021952 161980416 162931041 164537856 165517248 167149568 174440448 178249344 179310352 186206904 188043264 188977152 193103456 200530512 201724146 203713536 212599296 215973888 217241388 219383808 220689664 229177728 232587264 235344837 237665792 242970624 246806784 248275872 250724352 251969536 261660672 267374016 268965528 271618048 282064896 283465728 289655184 292511744 299040768 302586219 305570304 313793116 323960832 325862082 329075712 331034496 334299136 348880896 356498688 358620704 372413808 376086528 377954304 386206912 401061024 403448292 407427072 425198592 431947776 434482776 438767616 441379328 458355456 470689674 475331584 485941248 493613568 496551744 501448704 503939072 523321344 534748032 537931056 543236096 564129792 566931456 579310368 585023488 605172438 611140608 627586232 647921664 651724164 658151424 662068992 697761792 706034511 712997376 717241408 744827616 752173056 755908608 772413824 802122048 806896584 814854144 850397184 868965552 877535232 882758656 916710912 941379348 950663168 971882496 987227136 993103488 1002897408 1007878144 1046642688 1069496064 1075862112 1086472192 1128259584 1133862912 1158620736 1170046976 1210344876 1222281216 1255172464 1295843328 1303448328 1316302848 1324137984 1412069022 1425994752 1434482816 1489655232 1504346112 1511817216 1544827648 1604244096 1613793168 1629708288 1700794368 1737931104 1755070464 1765517312 1833421824 1882758696 1901326336 1943764992 1974454272 1986206976 2093285376 2118103533 2138992128 2151724224 2172944384 2256519168 2267725824 2317241472 2340093952 2420689752 2444562432 2510344928 2606896656 2632605696 2648275968 2824138044 2851989504 2868965632 2979310464 3008692224 3023634432 3089655296 3208488192 3227586336 3259416576 3401588736 3475862208 3510140928 3531034624 3666843648 3765517392 3802652672 3887529984 3948908544 3972413952 4236207066 4277984256 4303448448 4345888768 4513038336 4535451648 4634482944 4841379504 4889124864 5020689856 5213793312 5265211392 5296551936 5648276088 5703979008 5737931264 5958620928 6179310592 6416976384 6455172672 6518833152 6803177472 6951724416 7020281856 7062069248 7333687296 7531034784 7605305344 7897817088 7944827904 8472414132 8555968512 8606896896 9026076672 9070903296 9268965888 9682759008 9778249728 10041379712 10427586624 10530422784 10593103872 11296552176 11407958016 11475862528 11917241856 12358621184 12833952768 12910345344 13037666304 13606354944 13903448832 14124138496 14667374592 15062069568 15210610688 15795634176 15889655808 16944828264 17111937024 17213793792 18537931776 19365518016 19556499456 20082759424 20855173248 21060845568 21186207744 22593104352 22815916032 22951725056 23834483712 24717242368 25667905536 25820690688 27212709888 27806897664 28248276992 29334749184 30124139136 30421221376 31591268352 31779311616 33889656528 34223874048 34427587584 37075863552 38731036032 39112998912 40165518848 41710346496 42372415488 45186208704 45631832064 45903450112 47668967424 49434484736 51335811072 51641381376 55613795328 56496553984 58669498368 60248278272 63182536704 63558623232 67779313056 68447748096 68855175168 74151727104 77462072064 80331037696 83420692992 84744830976 90372417408 91263664128 91806900224 95337934848 98868969472 102671622144 103282762752 111227590656 117338996736 120496556544 127117246464 135558626112 136895496192 137710350336 148303454208 154924144128 160662075392 166841385984 169489661952 180744834816 183613800448 190675869696 197737938944 205343244288 206565525504 222455181312 240993113088 254234492928 271117252224 273790992384 275420700672 296606908416 309848288256 321324150784 333682771968 361489669632 367227600896 381351739392 395475877888 410686488576 413131051008 444910362624 481986226176 508468985856 542234504448 550841401344 593213816832 619696576512 642648301568 667365543936 722979339264 734455201792 762703478784 821372977152 826262102016 889820725248 963972452352 1084469008896 1101682802688 1186427633664 1239393153024 1285296603136 1334731087872 1445958678528 1525406957568 1652524204032 1779641450496 1927944904704 2168938017792 2203365605376 2478786306048 2570593206272 2669462175744 2891917357056 3305048408064 3559282900992 3855889809408 4337876035584 4957572612096 5141186412544 5338924351488 5783834714112 6610096816128 7711779618816 8675752071168 9915145224192 10677848702976 11567669428224 15423559237632 17351504142336 19830290448384 23135338856448 34703008284672 46270677712896 69406016569344 138812033138688
- Sum of all divisors σ(n): 509300382707200
- Sum of proper divisors (its aliquot sum) s(n): 370488349568512
- 138812033138688 is an abundant number, because the sum of its proper divisors (370488349568512) is greater than itself. Its abundance is 231676316429824
Bases of 138812033138688
- Binary: 111111000111111101100011110110100000000000000002
- Hexadecimal: 0x7E3FB1ED0000
- Base-36: 1D7DD8IDC0
Squares and roots of 138812033138688
- 138812033138688 squared (1388120331386882) is 19268780544096215484642361344
- 138812033138688 cubed (1388120331386883) is 2674738603429190455128902389215332162076672
-
The
square root of 138812033138688 is 11781851.8552343035 -
The
cube root of 138812033138688 is 51777.6543226439
Scales and comparisons
How big is 138812033138688?- 138,812,033,138,688 seconds is equal to 4,413,793 years, 14 weeks, 3 days, 22 hours, 4 minutes, 48 seconds.
-
To count from 1 to 138,812,033,138,688 would take you about eleven million, thirty-four thousand, four hundred eighty-three 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 138812033138688 cubic inches would be around 4314.8 feet tall.
Recreational maths with 138812033138688
- 138812033138688 backwards is 886831330218831
- 138812033138688 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138812033138688's digits is 63
- More coming soon!
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The information we have on file for 138812033138688 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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