138166258980672
138,166,258,980,672 is an even composite number composed of four prime numbers multiplied together.
What does the number 138166258980672 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1092 divisors.
138166258980672 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand and ninety-two divisors.
Prime factorization of 138166258980672:
26 × 312 × 133 × 432
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 13 × 43 × 43)See below for interesting mathematical facts about the number 138166258980672 from the Numbermatics database.
Names of 138166258980672
- Cardinal: 138166258980672 can be written as One hundred thirty-eight trillion, one hundred sixty-six billion, two hundred fifty-eight million, nine hundred eighty thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 1.38166258980672 × 1014
Factors of 138166258980672
Divisors of 138166258980672
- Number of divisors d(n): 1092
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 43 48 52 54 64 72 78 81 86 96 104 108 117 129 144 156 162 169 172 192 208 216 234 243 258 288 312 324 338 344 351 387 416 432 468 486 507 516 559 576 624 648 676 688 702 729 774 832 864 936 972 1014 1032 1053 1118 1161 1248 1296 1352 1376 1404 1458 1521 1548 1677 1728 1849 1872 1944 2028 2064 2106 2187 2197 2236 2322 2496 2592 2704 2752 2808 2916 3042 3096 3159 3354 3483 3698 3744 3888 4056 4128 4212 4374 4394 4472 4563 4644 5031 5184 5408 5547 5616 5832 6084 6192 6318 6561 6591 6708 6966 7267 7396 7488 7776 8112 8256 8424 8748 8788 8944 9126 9288 9477 10062 10449 10816 11094 11232 11664 12168 12384 12636 13122 13182 13416 13689 13932 14534 14792 15093 15552 16224 16641 16848 17496 17576 17888 18252 18576 18954 19683 19773 20124 20898 21801 22188 22464 23328 24037 24336 24768 25272 26244 26364 26832 27378 27864 28431 29068 29584 30186 31347 32448 33282 33696 34992 35152 35776 36504 37152 37908 39366 39546 40248 41067 41796 43602 44376 45279 46656 48074 48672 49923 50544 52488 52728 53664 54756 55728 56862 58136 59049 59168 59319 60372 62694 65403 66564 67392 69984 70304 72111 73008 74304 75816 78732 79092 80496 82134 83592 85293 87204 88752 90558 94041 94471 96148 97344 99846 101088 104976 105456 107328 109512 111456 113724 116272 118098 118336 118638 120744 123201 125388 130806 133128 135837 139968 140608 144222 146016 149769 151632 157464 158184 160992 164268 167184 170586 174408 177147 177504 177957 181116 188082 188942 192296 196209 199692 202176 209952 210912 216333 219024 222912 227448 232544 236196 237276 241488 246402 250776 255879 261612 266256 271674 282123 283413 288444 292032 299538 303264 312481 314928 316368 321984 328536 334368 341172 348816 354294 355008 355914 362232 369603 376164 377884 384592 392418 399384 407511 419904 421824 432666 438048 449307 454896 465088 472392 474552 482976 492804 501552 511758 523224 531441 532512 533871 543348 564246 566826 576888 588627 599076 606528 624962 629856 632736 648999 657072 668736 682344 697632 708588 711828 724464 739206 752328 755768 767637 769184 784836 798768 815022 846369 850239 865332 876096 898614 909792 937443 944784 949104 965952 985608 1003104 1023516 1046448 1062882 1065024 1067742 1086696 1108809 1128492 1133652 1153776 1177254 1198152 1222533 1249924 1259712 1265472 1297998 1314144 1347921 1364688 1395264 1417176 1423656 1448928 1478412 1504656 1511536 1535274 1538368 1569672 1597536 1601613 1630044 1692738 1700478 1730664 1765881 1797228 1819584 1874886 1889568 1898208 1946997 1971216 2006208 2047032 2092896 2125764 2135484 2173392 2217618 2256984 2267304 2302911 2307552 2354508 2396304 2445066 2499848 2539107 2550717 2595996 2628288 2695842 2729376 2812329 2834352 2847312 2897856 2956824 3009312 3023072 3070548 3139344 3195072 3203226 3260088 3326427 3385476 3400956 3461328 3531762 3594456 3667599 3749772 3779136 3796416 3893994 3942432 4043763 4062253 4094064 4185792 4251528 4270968 4346784 4435236 4513968 4534608 4605822 4615104 4709016 4792608 4804839 4890132 4999696 5078214 5101434 5191992 5297643 5391684 5458752 5624658 5668704 5694624 5840991 5913648 6018624 6046144 6141096 6278688 6406452 6520176 6652854 6770952 6801912 6908733 6922656 7063524 7188912 7335198 7499544 7617321 7652151 7787988 7884864 8087526 8124506 8188128 8436987 8503056 8541936 8693568 8870472 9027936 9069216 9211644 9418032 9585216 9609678 9780264 9979281 9999392 10156428 10202868 10383984 10595286 10783368 11002797 11249316 11337408 11389248 11681982 11827296 12131289 12186759 12282192 12557376 12812904 13040352 13305708 13541904 13603824 13817466 13845312 14127048 14377824 14414517 14670396 14999088 15234642 15304302 15575976 15892929 16175052 16249012 16376256 16873974 17006112 17083872 17522973 17740944 18055872 18138432 18423288 18836064 19219356 19560528 19958562 19998784 20312856 20405736 20767968 21190572 21566736 22005594 22498632 22851963 22956453 23363964 23654592 24262578 24373518 24564384 25310961 25625808 26080704 26611416 27083808 27207648 27634932 28254096 28755648 28829034 29340792 29937843 29998176 30469284 30608604 31151952 31785858 32350104 32498024 33008391 33747948 34012224 34167744 35045946 35481888 36393867 36560277 36846576 37672128 38438712 39121056 39917124 40625712 40811472 41535936 42381144 43133472 43243551 44011188 44997264 45703926 45912906 46727928 47678787 48525156 48747036 49128768 50621922 51251616 52568919 53222832 54167616 54415296 55269864 56508192 57658068 58681584 59875686 59996352 60938568 61217208 62303904 63571716 64700208 64996048 66016782 67495896 68869359 70091892 70963776 72787734 73120554 73693152 75932883 76877424 78242112 79834248 81251424 81622944 84762288 86266944 86487102 88022376 89813529 89994528 91407852 91825812 93455856 95357574 97050312 97494072 99025173 101243844 102503232 105137838 106445664 109181601 109680831 110539728 113016384 115316136 117363168 119751372 121877136 122434416 124607808 127143432 129400416 129730653 129992096 132033564 134991792 137738718 140183784 143036361 145575468 146241108 147386304 151865766 153754848 157706757 159668496 162502848 163245888 169524576 172974204 176044752 179627058 179989056 182815704 183651624 186911712 190715148 194100624 194988144 198050346 202487688 206608077 210275676 212891328 218363202 219361662 221079456 227798649 230632272 234726336 239502744 243754272 244868832 254286864 258800832 259461306 259984192 264067128 269983584 275477436 280367568 286072722 291150936 292482216 297075519 303731532 307509696 315413514 319336992 327544803 329042493 339049152 345948408 352089504 359254116 365631408 367303248 373823424 381430296 388201248 389191959 389976288 396100692 404975376 413216154 420551352 429109083 436726404 438723324 442158912 455597298 461264544 473120271 479005488 487508544 489737664 508573728 518922612 528134256 539967168 550954872 560735136 572145444 582301872 584964432 594151038 607463064 619824231 630827028 638673984 655089606 658084986 683395947 691896816 704179008 718508232 731262816 734606496 762860592 776402496 778383918 779952576 792201384 809950752 826432308 841102704 858218166 873452808 877446648 911194596 922529088 946240542 958010976 982634409 987127479 1017147456 1037845224 1056268512 1101909744 1121470272 1144290888 1164603744 1167575877 1169928864 1188302076 1214926128 1239648462 1261654056 1287327249 1310179212 1316169972 1366791894 1383793632 1419360813 1437016464 1462525632 1469212992 1525721184 1556767836 1584402768 1619901504 1652864616 1682205408 1716436332 1746905616 1754893296 1822389192 1859472693 1892481084 1916021952 1965268818 1974254958 2050187841 2075690448 2112537024 2203819488 2288581776 2329207488 2335151754 2339857728 2376604152 2429852256 2479296924 2523308112 2574654498 2620358424 2632339944 2733583788 2767587264 2838721626 2874032928 2961382437 3051442368 3113535672 3168805536 3305729232 3364410816 3432872664 3493811232 3509786592 3644778384 3718945386 3784962168 3861981747 3930537636 3948509916 4100375682 4151380896 4258082439 4407638976 4577163552 4670303508 4753208304 4859704512 4958593848 5046616224 5149308996 5240716848 5264679888 5467167576 5578418079 5677443252 5748065856 5922764874 6150563523 6227071344 6337611072 6611458464 6865745328 6987622464 7019573184 7289556768 7437890772 7569924336 7723963494 7861075272 7897019832 8200751364 8302761792 8516164878 8884147311 9154327104 9340607016 9506416608 9917187696 10093232448 10298617992 10481433696 10529359776 10934335152 11156836158 11354886504 11845529748 12301127046 12454142688 12774247317 13222916928 13731490656 14579113536 14875781544 15139848672 15447926988 15722150544 15794039664 16401502728 16735254237 17032329756 17768294622 18451690569 18681214032 19012833216 19834375392 20597235984 20962867392 21058719552 21868670304 22313672316 22709773008 23691059496 24602254092 24908285376 25548494634 26652441933 27462981312 29751563088 30279697344 30895853976 31444301088 31588079328 32803005456 33470508474 34064659512 35536589244 36903381138 37362428064 39668750784 41194471968 43737340608 44627344632 45419546016 47382118992 49204508184 50205762711 51096989268 53304883866 55355071707 59503126176 61791707952 62888602176 63176158656 65606010912 66941016948 68129319024 71073178488 73806762276 74724856128 79957325799 82388943936 89254689264 90839092032 94764237984 98409016368 100411525422 102193978536 106609767732 110710143414 119006252352 123583415904 131212021824 133882033896 136258638048 142146356976 147613524552 159914651598 166065215121 178509378528 189528475968 196818032736 200823050844 204387957072 213219535464 221420286828 239871977397 247166831808 267764067792 272517276096 284292713952 295227049104 319829303196 332130430242 357018757056 393636065472 401646101688 408775914144 426439070928 442840573656 479743954794 535528135584 568585427904 590454098208 639658606392 664260860484 719615932191 803292203376 817551828288 852878141856 885681147312 959487909588 1071056271168 1180908196416 1279317212784 1328521720968 1439231864382 1606584406752 1705756283712 1771362294624 1918975819176 2158847796573 2558634425568 2657043441936 2878463728764 3213168813504 3542724589248 3837951638352 4317695593146 5117268851136 5314086883872 5756927457528 7675903276704 8635391186292 10628173767744 11513854915056 15351806553408 17270782372584 23027709830112 34541564745168 46055419660224 69083129490336 138166258980672
- Sum of all divisors σ(n): 456118130146980
- Sum of proper divisors (its aliquot sum) s(n): 317951871166308
- 138166258980672 is an abundant number, because the sum of its proper divisors (317951871166308) is greater than itself. Its abundance is 179785612185636
Bases of 138166258980672
- Binary: 111110110101001010101101100100101010111010000002
- Hexadecimal: 0x7DA956C95740
- Base-36: 1CZ4PB9000
Squares and roots of 138166258980672
- 138166258980672 squared (1381662589806722) is 19089915120714126092469571584
- 138166258980672 cubed (1381662589806723) is 2637582156487634331197646147978732376424448
-
The
square root of 138166258980672 is 11754414.4465248459 -
The
cube root of 138166258980672 is 51697.2370476243
Scales and comparisons
How big is 138166258980672?- 138,166,258,980,672 seconds is equal to 4,393,259 years, 34 weeks, 1 day, 23 hours, 31 minutes, 12 seconds.
-
To count from 1 to 138,166,258,980,672 would take you about ten million, nine hundred eighty-three thousand, one hundred forty-nine 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 138166258980672 cubic inches would be around 4308.1 feet tall.
Recreational maths with 138166258980672
- 138166258980672 backwards is 276089852661831
- 138166258980672 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138166258980672's digits is 72
- More coming soon!
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The information we have on file for 138166258980672 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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