138135114101618406
138,135,114,101,618,406 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138135114101618406 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1944 divisors.
138135114101618406 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 138135114101618406:
2 × 38 × 192 × 23 × 472 × 61 × 972
(2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 19 × 19 × 23 × 47 × 47 × 61 × 97 × 97)See below for interesting mathematical facts about the number 138135114101618406 from the Numbermatics database.
Names of 138135114101618406
- Cardinal: 138135114101618406 can be written as One hundred thirty-eight quadrillion, one hundred thirty-five trillion, one hundred fourteen billion, one hundred one million, six hundred eighteen thousand, four hundred six.
Scientific notation
- Scientific notation: 1.38135114101618406 × 1017
Factors of 138135114101618406
Divisors of 138135114101618406
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 6 9 18 19 23 27 38 46 47 54 57 61 69 81 94 97 114 122 138 141 162 171 183 194 207 243 282 291 342 361 366 414 423 437 486 513 549 582 621 722 729 846 873 874 893 1026 1081 1083 1098 1159 1242 1269 1311 1403 1458 1539 1647 1746 1786 1843 1863 2162 2166 2187 2209 2231 2318 2538 2619 2622 2679 2806 2867 3078 3243 3249 3294 3477 3686 3726 3807 3933 4209 4374 4418 4462 4559 4617 4941 5238 5358 5529 5589 5734 5917 6486 6498 6561 6627 6693 6954 7614 7857 7866 8037 8303 8418 8601 9118 9234 9409 9729 9747 9882 10431 11058 11178 11421 11799 11834 12627 13122 13254 13386 13677 13851 14823 15714 16074 16587 16606 16767 16967 17202 17751 18818 19458 19494 19881 20079 20539 20862 22021 22842 23571 23598 24111 24909 25254 25803 26657 27354 27702 28227 29187 29241 29646 31293 33174 33534 33934 34263 35017 35397 35502 37881 39762 40158 41031 41078 41553 41971 42389 44042 44469 47142 48222 49761 49818 50301 50807 50901 51606 53253 53314 54473 56454 58374 58482 59643 60237 61617 62586 65941 66063 68526 70034 70713 70794 72333 74727 75762 77409 79971 82062 83106 83942 84681 84778 86621 87561 87723 88938 93879 99522 100602 101614 101802 102789 104857 105051 106191 106506 108946 112423 113643 119286 120474 123093 123234 124659 125913 127167 131882 132126 133407 134749 136091 141426 144666 149283 149454 150903 152421 152703 154818 159759 159942 163419 169362 173242 175122 175446 178771 178929 180711 184851 187758 197823 198189 205578 209714 210102 212139 212382 214273 216407 216999 224181 224846 227286 232227 239913 246186 249318 251826 254043 254334 259863 262683 263169 266814 269498 272182 278099 281637 298566 301806 304842 305406 308367 314571 315153 318573 319518 326838 337269 340929 357542 357858 361422 369279 369702 377739 381501 390241 395646 396378 400221 404247 408273 424278 428546 432814 433998 442223 447849 448362 457263 458109 464454 479277 479826 490257 506483 508086 519726 525366 526338 536313 536787 542133 554553 556198 563274 573949 593469 594567 616734 629142 630306 636417 637146 642819 649221 650997 672543 674538 681858 696681 719739 738558 755478 762129 763002 779589 780482 788049 789507 797449 800442 805391 808494 816546 834297 844911 884446 895698 914526 916218 943713 945459 955719 958554 965333 980514 1011807 1012966 1022787 1034987 1072626 1073574 1084266 1107837 1109106 1133217 1144503 1147898 1170723 1186938 1189134 1212741 1224819 1252879 1272834 1285638 1298442 1301994 1326669 1343547 1345086 1371789 1374327 1393362 1437831 1439478 1470771 1519449 1524258 1559178 1576098 1579014 1594898 1608939 1610361 1610782 1626399 1645799 1663659 1668594 1689822 1721847 1780407 1783701 1887426 1890918 1911438 1928457 1930666 1947663 1952991 1992283 2017629 2023614 2045574 2069974 2090043 2136037 2159217 2215674 2266434 2286387 2289006 2338767 2341446 2364147 2368521 2392347 2416173 2425482 2449638 2502891 2505758 2534733 2560231 2585729 2653338 2687094 2743578 2748654 2831139 2836377 2867157 2875662 2895999 2941542 3035421 3038898 3068361 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110254153914 112780022274 113903227566 116164464309 116379384687 117991287522 120337446447 120694409802 121896436518 124546359051 124689023838 127399654791 128668460769 128782179531 133465554738 135057557538 136366979841 136523184858 140880307779 143095816782 144107806239 144535280874 146103759234 146374071462 150766645167 151045584381 154220634747 156182643261 163490727546 165570670998 169170033411 170854841349 171513108666 172573545743 173221251894 174963761058 175287468294 176986931283 177189665454 181041614703 181248993414 182844654777 187033535757 191923897554 198275988726 202586336307 204784777287 205392241242 212190093198 212770557486 214889594274 216802921311 217051263718 219155638851 219561107193 223978431709 232328928618 232758769374 240674892894 245236091319 248356006497 249092718102 254799309582 257336921538 257564359062 262445641587 262931202441 265784498181 271873490121 272733959682 281760615558 287885846331 288215612478 297413983089 301533290334 302091168762 308088361863 308441269494 312365286522 318285139797 319155836229 322334391411 325576895577 338340066822 341709682698 345147091486 348493392927 349138154061 353973862566 362083229406 365689309554 373639077153 374067071514 382198964373 386005382307 386346538593 405172672614 409569554574 422640923337 432323418717 433605842622 438311277702 439122214386 447956863418 452299935501 453136753143 457695056101 462661904241 490472182638 496712012994 507510100233 512564524047 517720637229 524891283174 525862404882 531568996362 543124844109 543746980242 548533964331 554051910017 561100607271 575771692662 594827966178 607759008921 614354331861 616176723726 636570279594 638311672458 644668782822 650408763933 651153791154 657466916553 658683321579 671935295127 696986785854 698276308122 735708273957 747278154306 764397928746 772010764614 772693077186 787336924761 788793607323 797353494543 815620470363 845281846674 863657538993 864646837434 892241949267 904599871002 906273506286 915390112202 924265085589 925323808482 954855419391 976730686731 1015020200466 1025129048094 1035441274458 1045480178781 1047414462183 1086249688218 1097067928662 1108103820034 1120917231459 1122201214542 1146596893119 1158016146921 1215518017842 1228708663722 1267922770011 1296970256151 1300817527866 1314933833106 1317366643158 1343870590254 1356899806503 1359410259429 1373085168303 1387985712723 1471416547914 1553161911687 1574673849522 1577587214646 1594706989086 1629374532327 1631240940726 1645601892993 1662155730051 1683301821813 1727315077986 1784483898534 1823277026763 1848530171178 1909710838782 1951226291799 1953461373462 1972400749659 2015805885381 2090960357562 2094828924366 2207124821871 2241834462918 2293193786238 2316032293842 2362010774283 2366380821969 2446861411089 2535845540022 2590972616979 2593940512302 2676725847801 2713799613006 2718820518858 2746170336606 2772795256767 2775971425446 2864566258173 2930192060193 3106323823374 3136440536343 3258749064654 3291203785986 3324311460102 3362751694377 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20638744076142 20844290644578 21053972580646 21258096968547 21297427397721 23345464610718 24090532630209 24715533029454 24983742829014 25781096323557 26371728541737 27956914410366 29918803140918 30299432792634 30958116114213 31266435966867 31580958870969 32818986481734 35122073252382 36284505936858 37073299544181 37475614243521 39728246793678 41935371615549 42516193937094 42594854795442 44878204711377 48181065260418 49228479722601 51562192647114 52683109878573 52743457083474 54426758905287 59592370190517 61916232228426 62532871933734 63161917741938 63774290905641 63892282193163 74146599088362 74951228487042 77343288970671 79115185625211 83870743231098 89756409422754 94742876612907 98456959445202 105366219757146 108853517810574 111219898632543 119184740381034 125806114846647 127548581811282 127784564386326 134634614134131 154686577941342 158049329635719 158230371250422 163280276715861 189485753225814 191322872716923 222439797265086 237345556875633 251612229693294 269269228268262 284228629838721 316098659271438 326560553431722 333659695897629 377418344539941 382645745433846 403903842402393 474691113751266 489840830147583 568457259677442 667319391795258 712036670626899 754836689079882 807807684804786 852685889516163 979681660295166 1000979087692887 1132255033619823 1211711527207179 1424073341253798 1469522490442749 1705371779032326 2001958175385774 2264510067239646 2423423054414358 2558057668548489 2939044980885498 3002937263078661 3635134581621537 5116115337096978 6005874526157322 7270269163243074 7674173005645467 15348346011290934 23022519016936401 46045038033872802 69067557050809203 138135114101618406
- Sum of all divisors σ(n): 359139725523395856
- Sum of proper divisors (its aliquot sum) s(n): 221004611421777450
- 138135114101618406 is an abundant number, because the sum of its proper divisors (221004611421777450) is greater than itself. Its abundance is 82869497320159044
Bases of 138135114101618406
- Binary: 1111010101100000100100111100001110000100011110110111001102
- Hexadecimal: 0x1EAC1278708F6E6
- Base-36: 11S4T7D55CDI
Squares and roots of 138135114101618406
- 138135114101618406 squared (1381351141016184062) is 19081309747867136204942868437980836
- 138135114101618406 cubed (1381351141016184063) is 2635798899229950397493830776098668322410626412867416
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The
square root of 138135114101618406 is 371665325.3958706409 -
The
cube root of 138135114101618406 is 516933.5229504841
Scales and comparisons
How big is 138135114101618406?- 138,135,114,101,618,406 seconds is equal to 4,392,269,348 years, 24 weeks, 2 days, 19 hours, 20 minutes, 6 seconds.
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To count from 1 to 138,135,114,101,618,406 would take you about thirteen billion, one hundred seventy-six million, eight hundred eight thousand and forty-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 138135114101618406 cubic inches would be around 43077.8 feet tall.
Recreational maths with 138135114101618406
- 138135114101618406 backwards is 604816101411531831
- 138135114101618406 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138135114101618406's digits is 54
- More coming soon!
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The information we have on file for 138135114101618406 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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