138916362226876416
138,916,362,226,876,416 is an even composite number composed of six prime numbers multiplied together.
What does the number 138916362226876416 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 720 divisors.
138916362226876416 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 138916362226876416:
214 × 32 × 7 × 13 × 67 × 154516463
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 67 × 154516463)See below for interesting mathematical facts about the number 138916362226876416 from the Numbermatics database.
Names of 138916362226876416
- Cardinal: 138916362226876416 can be written as One hundred thirty-eight quadrillion, nine hundred sixteen trillion, three hundred sixty-two billion, two hundred twenty-six million, eight hundred seventy-six thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 1.38916362226876416 × 1017
Factors of 138916362226876416
Divisors of 138916362226876416
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 64 67 72 78 84 91 96 104 112 117 126 128 134 144 156 168 182 192 201 208 224 234 252 256 268 273 288 312 336 364 384 402 416 448 468 469 504 512 536 546 576 603 624 672 728 768 804 819 832 871 896 936 938 1008 1024 1072 1092 1152 1206 1248 1344 1407 1456 1536 1608 1638 1664 1742 1792 1872 1876 2016 2048 2144 2184 2304 2412 2496 2613 2688 2814 2912 3072 3216 3276 3328 3484 3584 3744 3752 4032 4096 4221 4288 4368 4608 4824 4992 5226 5376 5628 5824 6097 6144 6432 6552 6656 6968 7168 7488 7504 7839 8064 8192 8442 8576 8736 9216 9648 9984 10452 10752 11256 11648 12194 12288 12864 13104 13312 13936 14336 14976 15008 15678 16128 16384 16884 17152 17472 18291 18432 19296 19968 20904 21504 22512 23296 24388 24576 25728 26208 26624 27872 28672 29952 30016 31356 32256 33768 34304 34944 36582 36864 38592 39936 41808 43008 45024 46592 48776 49152 51456 52416 53248 54873 55744 57344 59904 60032 62712 64512 67536 68608 69888 73164 73728 77184 79872 83616 86016 90048 93184 97552 102912 104832 106496 109746 111488 114688 119808 120064 125424 129024 135072 137216 139776 146328 147456 154368 159744 167232 172032 180096 186368 195104 205824 209664 212992 219492 222976 239616 240128 250848 258048 270144 274432 279552 292656 308736 319488 334464 344064 360192 372736 390208 411648 419328 438984 445952 479232 480256 501696 516096 540288 548864 559104 585312 617472 638976 668928 720384 745472 780416 823296 838656 877968 891904 958464 960512 1003392 1032192 1080576 1097728 1118208 1170624 1234944 1337856 1440768 1490944 1560832 1646592 1677312 1755936 1783808 1916928 1921024 2006784 2161152 2236416 2341248 2469888 2675712 2881536 3121664 3293184 3354624 3511872 3567616 3842048 4013568 4322304 4472832 4682496 4939776 5351424 5763072 6243328 6709248 7023744 7135232 7684096 8027136 8644608 9364992 9879552 10702848 11526144 12486656 13418496 14047488 14270464 16054272 17289216 18729984 21405696 23052288 24973312 28094976 32108544 34578432 37459968 42811392 49946624 56189952 64217088 69156864 74919936 99893248 112379904 128434176 149839872 154516463 224759808 299679744 309032926 449519616 463549389 618065852 899039232 927098778 1081615241 1236131704 1390648167 1854197556 2008714019 2163230482 2472263408 2781296334 3244845723 3708395112 4017428038 4326460964 4944526816 5562592668 6026142057 6489691446 7416790224 8034856076 8652921928 9734537169 9889053632 10352603021 11125185336 12052284114 12979382892 14060998133 14833580448 16069712152 17305843856 18078426171 19469074338 19778107264 20705206042 22250370672 24104568228 25958765784 28121996266 29667160896 31057809063 32139424304 34611687712 36156852342 38938148676 39556214528 41410412084 42182994399 44500741344 48209136456 51917531568 56243992532 59334321792 62115618126 64278848608 69223375424 72313704684 72468221147 77876297352 79112429056 82820824168 84365988798 89001482688 93173427189 96418272912 103835063136 112487985064 118668643584 124231236252 126548983197 128557697216 134583839273 138446750848 144627409368 144936442294 155752594704 158224858112 165641648336 168731977596 178002965376 186346854378 192836545824 207670126272 217404663441 224975970128 237337287168 248462472504 253097966394 257115394432 269167678546 276893501696 289254818736 289872884588 311505189408 316449716224 331283296672 337463955192 356005930752 372693708756 385673091648 403751517819 415340252544 434809326882 449951940256 474674574336 496924945008 506195932788 514230788864 538335357092 553787003392 578509637472 579745769176 623010378816 632899432448 652213990323 662566593344 674927910384 712011861504 745387417512 771346183296 807503035638 830680505088 869618653764 899903880512 942086874911 949349148672 993849890016 1012391865576 1028461577728 1076670714184 1107574006784 1157019274944 1159491538352 1211254553457 1246020757632 1265798864896 1304427980646 1325133186688 1349855820768 1424023723008 1490774835024 1542692366592 1615006071276 1661361010176 1739237307528 1799807761024 1884173749822 1898698297344 1987699780032 2024783731152 2056923155456 2153341428368 2215148013568 2314038549888 2318983076704 2422509106914 2492041515264 2531597729792 2608855961292 2650266373376 2699711641536 2826260624733 2848047446016 2981549670048 3085384733184 3230012142552 3322722020352 3478474615056 3599615522048 3768347499644 3797396594688 3975399560064 4049567462304 4113846310912 4306682856736 4430296027136 4628077099776 4637966153408 4845018213828 4984083030528 5217711922584 5300532746752 5399423283072 5652521249466 5696094892032 5963099340096 6170769466368 6460024285104 6645444040704 6956949230112 7199231044096 7536694999288 7594793189376 7950799120128 8099134924608 8227692621824 8478781874199 8613365713472 8860592054272 9256154199552 9275932306816 9690036427656 9968166061056 10435423845168 10601065493504 10798846566144 11305042498932 11392189784064 11926198680192 12341538932736 12920048570208 13290888081408 13913898460224 14398462088192 15073389998576 15901598240256 16198269849216 16455385243648 16957563748398 17226731426944 17721184108544 18512308399104 18551864613632 19380072855312 19936332122112 20870847690336 21202130987008 21597693132288 22610084997864 22784379568128 23852397360384 24683077865472 25840097140416 26581776162816 27827796920448 28796924176384 30146779997152 31803196480512 32396539698432 32910770487296 33915127496796 34453462853888 37024616798208 37103729227264 38760145710624 39872664244224 41741695380672 42404261974016 43195386264576 45220169995728 47704794720768 49366155730944 51680194280832 53163552325632 55655593840896 57593848352768 60293559994304 63606392961024 64793079396864 67830254993592 68906925707776 74049233596416 74207458454528 77520291421248 79745328488448 83483390761344 84808523948032 86390772529152 90440339991456 95409589441536 98732311461888 103360388561664 111311187681792 115187696705536 120587119988608 127212785922048 129586158793728 135660509987184 137813851415552 148098467192832 148414916909056 155040582842496 159490656976896 166966781522688 169617047896064 172781545058304 180880679982912 190819178883072 206720777123328 222622375363584 230375393411072 241174239977216 254425571844096 259172317587456 271321019974368 275627702831104 296196934385664 296829833818112 310081165684992 333933563045376 345563090116608 361761359965824 381638357766144 413441554246656 445244750727168 482348479954432 508851143688192 518344635174912 542642039948736 551255405662208 593659667636224 620162331369984 667867126090752 691126180233216 723522719931648 763276715532288 826883108493312 890489501454336 964696959908864 1036689270349824 1085284079897472 1102510811324416 1187319335272448 1240324662739968 1335734252181504 1447045439863296 1526553431064576 1653766216986624 1780979002908672 1929393919817728 2073378540699648 2170568159794944 2205021622648832 2480649325479936 2671468504363008 2894090879726592 3307532433973248 3561958005817344 3858787839635456 4341136319589888 4961298650959872 5342937008726016 5788181759453184 6615064867946496 7717575679270912 8682272639179776 9922597301919744 10685874017452032 11576363518906368 15435151358541824 17364545278359552 19845194603839488 23152727037812736 34729090556719104 46305454075625472 69458181113438208 138916362226876416
- Sum of all divisors σ(n): 501281560940719104
- Sum of proper divisors (its aliquot sum) s(n): 362365198713842688
- 138916362226876416 is an abundant number, because the sum of its proper divisors (362365198713842688) is greater than itself. Its abundance is 223448836486966272
Bases of 138916362226876416
- Binary: 1111011011000011110110010000010000000010111000000000000002
- Hexadecimal: 0x1ED87B20805C000
- Base-36: 11ZTQNSRP4W0
Squares and roots of 138916362226876416
- 138916362226876416 squared (1389163622268764162) is 19297755694348736720110092137005056
- 138916362226876416 cubed (1389163622268764163) is 2680774020201916113230939080343720784599760079159296
-
The
square root of 138916362226876416 is 372714853.7781616453 -
The
cube root of 138916362226876416 is 517906.2284939485
Scales and comparisons
How big is 138916362226876416?- 138,916,362,226,876,416 seconds is equal to 4,417,110,622 years, 15 weeks, 1 day, 18 hours, 33 minutes, 36 seconds.
-
To count from 1 to 138,916,362,226,876,416 would take you about thirteen billion, two hundred fifty-one million, three hundred thirty-one thousand, eight hundred sixty-six 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 138916362226876416 cubic inches would be around 43158.9 feet tall.
Recreational maths with 138916362226876416
- 138916362226876416 backwards is 614678622263619831
- The number of decimal digits it has is: 18
- The sum of 138916362226876416's digits is 81
- More coming soon!
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The information we have on file for 138916362226876416 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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