138638089105152
138,638,089,105,152 is an even composite number composed of seven prime numbers multiplied together.
138638089105152 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138638089105152:
28 × 3 × 72 × 13 × 53 × 157 × 34057
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 13 × 53 × 157 × 34057)See below for interesting mathematical facts about the number 138638089105152 from the Numbermatics database.
Names of 138638089105152
- Cardinal: 138638089105152 can be written as One hundred thirty-eight trillion, six hundred thirty-eight billion, eighty-nine million, one hundred five thousand, one hundred fifty-two.
Scientific notation
- Scientific notation: 1.38638089105152 × 1014
Factors of 138638089105152
Divisors of 138638089105152
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 53 56 64 78 84 91 96 98 104 106 112 128 147 156 157 159 168 182 192 196 208 212 224 256 273 294 312 314 318 336 364 371 384 392 416 424 448 471 546 588 624 628 636 637 672 689 728 742 768 784 832 848 896 942 1092 1099 1113 1176 1248 1256 1272 1274 1344 1378 1456 1484 1568 1664 1696 1792 1884 1911 2041 2067 2184 2198 2226 2352 2496 2512 2544 2548 2597 2688 2756 2912 2968 3136 3297 3328 3392 3768 3822 4082 4134 4368 4396 4452 4704 4823 4992 5024 5088 5096 5194 5376 5512 5824 5936 6123 6272 6594 6784 7536 7644 7693 7791 8164 8268 8321 8736 8792 8904 9408 9646 9984 10048 10176 10192 10388 11024 11648 11872 12246 12544 13188 13568 14287 14469 15072 15288 15386 15582 16328 16536 16642 17472 17584 17808 18816 19292 20096 20352 20384 20776 22048 23079 23296 23744 24492 24963 26376 28574 28938 30144 30576 30772 31164 32656 33072 33284 33761 34057 34944 35168 35616 37632 38584 40192 40704 40768 41552 42861 44096 46158 47488 48984 49926 52752 57148 57876 58247 60288 61152 61544 62328 65312 66144 66568 67522 68114 69888 70336 71232 77168 81536 83104 85722 88192 92316 94976 97968 99852 100009 101283 102171 105504 108173 114296 115752 116494 120576 122304 123088 124656 130624 132288 133136 135044 136228 140672 142464 154336 163072 166208 171444 174741 176384 184632 195936 199704 200018 202566 204342 211008 216346 228592 231504 232988 238399 244608 246176 249312 261248 264576 266272 270088 272456 281344 284928 300027 308672 324519 332416 342888 349482 369264 391872 399408 400036 405132 407729 408684 422016 432692 442741 457184 463008 465976 476798 489216 492352 498624 522496 529152 532544 540176 544912 600054 617344 649038 664832 685776 698964 715197 738528 757211 783744 798816 800072 810264 815458 817368 844032 865384 885482 914368 926016 931952 953596 984704 997248 1065088 1080352 1089824 1200108 1223187 1234688 1298076 1328223 1371552 1397928 1430394 1477056 1514422 1567488 1597632 1600144 1620528 1630916 1634736 1668793 1730768 1770964 1805021 1828736 1852032 1863904 1907192 1969408 1994496 2130176 2160704 2179648 2271633 2400216 2446374 2596152 2656446 2743104 2795856 2860788 2954112 3028844 3099187 3195264 3200288 3241056 3261832 3269472 3337586 3461536 3541928 3610042 3657472 3704064 3727808 3814384 4321408 4359296 4543266 4800432 4892748 5006379 5192304 5300477 5312892 5346949 5415063 5486208 5591712 5721576 5908224 6057688 6198374 6390528 6400576 6482112 6523664 6538944 6675172 6923072 7083856 7220084 7455616 7628768 8642816 8718592 9086532 9297561 9600864 9785496 10012758 10384608 10600954 10625784 10693898 10830126 10972416 11183424 11443152 12115376 12396748 12635147 12801152 12964224 13047328 13077888 13350344 13846144 14167712 14440168 14911232 15257536 15901431 16040847 18173064 18595122 19201728 19570992 20025516 20769216 21201908 21251568 21387796 21660252 21694309 22366848 22886304 23465273 24230752 24793496 25270294 25602304 25928448 26094656 26155776 26700688 27692288 28335424 28880336 30515072 31802862 32081694 36346128 37190244 37428643 37905441 38403456 39141984 40051032 41538432 42403816 42503136 42775592 43320504 43388618 44733696 45772608 46930546 48461504 49586992 50540588 52189312 53401376 56670848 57760672 61030144 63605724 64163388 65082927 69510337 70395819 72692256 74380488 74857286 75810882 76806912 78283968 80102064 83076864 84807632 85006272 85551184 86641008 86777236 88446029 91545216 93861092 96923008 99173984 101081176 104378624 106802752 112285929 113341696 115521344 127211448 128326776 130165854 139020674 140791638 145384512 148760976 149714572 151621764 156567936 160204128 164256911 169615264 170012544 171102368 173282016 173554472 176892058 183090432 187722184 193846016 198347968 202162352 208531011 213605504 224571858 231042688 254422896 256653552 260331708 262000501 265338087 278041348 281583276 283388297 290769024 297521952 299429144 303243528 313135872 320408256 328513822 339230528 340025088 342204736 346564032 347108944 353784116 375444368 396695936 404324704 417062022 427211008 449143716 462085376 486572359 492770733 508845792 513307104 520663416 524001002 530676174 556082696 563166552 566776594 581538048 595043904 598858288 606487056 640816512 657027644 678461056 684409472 693128064 694217888 707568232 750888736 786001503 793391872 808649408 834124044 850164891 898287432 973144718 985541466 1017691584 1026614208 1041326832 1048002004 1061352348 1112165392 1126333104 1133553188 1149798377 1190087808 1197716576 1212974112 1281633024 1314055288 1356922112 1368818944 1386256128 1388435776 1415136464 1459717077 1501777472 1572003006 1617298816 1668248088 1700329782 1796574864 1946289436 1971082932 1983718079 2035383168 2053228416 2082653664 2096004008 2122704696 2224330784 2252666208 2267106376 2299596754 2380175616 2395433152 2425948224 2628110576 2776871552 2830272928 2919434154 3003554944 3144006012 3234597632 3336496176 3400659564 3406006513 3449395131 3593149728 3684047861 3892578872 3942165864 3967436158 4070766336 4106456832 4165307328 4192008016 4245409392 4448661568 4505332416 4534212752 4599193508 4790866304 4851896448 5256221152 5553743104 5660545856 5838868308 5951154237 6007109888 6288012024 6672992352 6801319128 6812013026 6898790262 7186299456 7368095722 7785157744 7884331728 7934872316 8330614656 8384016032 8490818784 8897323136 9010664832 9068425504 9198387016 9581732608 9703792896 10218019539 10512442304 11052143583 11321091712 11677736616 11902308474 12576024048 13345984704 13602638256 13624026052 13797580524 13886026553 14372598912 14736191444 15570315488 15768663456 15869744632 16661229312 16768032064 16981637568 17794646272 18021329664 18136851008 18396774032 20436039078 21024884608 22104287166 22642183424 23355473232 23804616948 25152048096 25788335027 26691969408 27205276512 27248052104 27595161048 27772053106 28745197824 29472382888 31140630976 31537326912 31739489264 33536064128 33963275136 36273702016 36793548064 40872078156 41658079659 42049769216 44208574332 46710946464 47609233896 50304096192 51576670054 53383938816 54410553024 54496104208 55190322096 55544106212 58944765776 62281261952 63074653824 63478978528 67072128256 67926550272 72547404032 73587096128 77365005081 81744156312 83316159318 88417148664 93421892928 95218467792 100608192384 103153340108 108821106048 108992208416 110380644192 111088212424 117889531552 124562523904 126149307648 126957957056 147174192256 154730010162 163488312624 166632318636 176834297328 180518345189 186843785856 190436935584 201216384768 206306680216 217642212096 217984416832 220761288384 222176424848 235779063104 253915914112 294348384512 309460020324 326976625248 333264637272 353668594656 361036690378 373687571712 380873871168 412613360432 435968833664 441522576768 444352849696 471558126208 507831828224 541555035567 618920040648 653953250496 666529274544 707337189312 722073380756 761747742336 825226720864 871937667328 883045153536 888705699392 943116252416 1083110071134 1237840081296 1307906500992 1333058549088 1414674378624 1444146761512 1523495484672 1650453441728 1777411398784 2166220142268 2475680162592 2615813001984 2666117098176 2829348757248 2888293523024 3300906883456 3554822797568 4332440284536 4951360325184 5332234196352 5776587046048 6601813766912 8664880569072 9902720650368 10664468392704 11553174092096 17329761138144 19805441300736 23106348184192 34659522276288 46212696368384 69319044552576 138638089105152
- Sum of all divisors σ(n): 473973183415872
- Sum of proper divisors (its aliquot sum) s(n): 335335094310720
- 138638089105152 is an abundant number, because the sum of its proper divisors (335335094310720) is greater than itself. Its abundance is 196697005205568
Bases of 138638089105152
- Binary: 111111000010111001100100000110110101111000000002
- Hexadecimal: 0x7E17320DAF00
- Base-36: 1D55GIQ22O
Squares and roots of 138638089105152
- 138638089105152 squared (1386380891051522) is 19220519750728065680112943104
- 138638089105152 cubed (1386380891051523) is 2664696129848771477385901298499524449271808
-
The
square root of 138638089105152 is 11774467.6782074527 -
The
cube root of 138638089105152 is 51756.0179212269
Scales and comparisons
How big is 138638089105152?- 138,638,089,105,152 seconds is equal to 4,408,262 years, 20 weeks, 4 days, 18 hours, 59 minutes, 12 seconds.
-
To count from 1 to 138,638,089,105,152 would take you about eleven million, twenty thousand, six hundred fifty-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 138638089105152 cubic inches would be around 4313 feet tall.
Recreational maths with 138638089105152
- 138638089105152 backwards is 251501980836831
- The number of decimal digits it has is: 15
- The sum of 138638089105152's digits is 60
- More coming soon!
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"Number 138638089105152 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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The information we have on file for 138638089105152 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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