138365764632576
138,365,764,632,576 is an even composite number composed of five prime numbers multiplied together.
138365764632576 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-two divisors.
Prime factorization of 138365764632576:
222 × 32 × 132 × 232 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 23 × 23 × 41)See below for interesting mathematical facts about the number 138365764632576 from the Numbermatics database.
Names of 138365764632576
- Cardinal: 138365764632576 can be written as One hundred thirty-eight trillion, three hundred sixty-five billion, seven hundred sixty-four million, six hundred thirty-two thousand, five hundred seventy-six.
Scientific notation
- Scientific notation: 1.38365764632576 × 1014
Factors of 138365764632576
Divisors of 138365764632576
- Number of divisors d(n): 1242
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 23 24 26 32 36 39 41 46 48 52 64 69 72 78 82 92 96 104 117 123 128 138 144 156 164 169 184 192 207 208 234 246 256 276 288 299 312 328 338 368 369 384 414 416 468 492 507 512 529 533 552 576 598 624 656 676 736 738 768 828 832 897 936 943 984 1014 1024 1058 1066 1104 1152 1196 1248 1312 1352 1472 1476 1521 1536 1587 1599 1656 1664 1794 1872 1886 1968 2028 2048 2116 2132 2208 2304 2392 2496 2624 2691 2704 2829 2944 2952 3042 3072 3174 3198 3312 3328 3588 3744 3772 3887 3936 4056 4096 4232 4264 4416 4608 4761 4784 4797 4992 5248 5382 5408 5658 5888 5904 6084 6144 6348 6396 6624 6656 6877 6929 7176 7488 7544 7774 7872 8112 8192 8464 8487 8528 8832 9216 9522 9568 9594 9984 10496 10764 10816 11316 11661 11776 11808 12168 12259 12288 12696 12792 13248 13312 13754 13858 14352 14976 15088 15548 15744 16224 16384 16928 16974 17056 17664 18432 19044 19136 19188 19968 20631 20787 20992 21528 21632 21689 22632 23322 23552 23616 24336 24518 24576 25392 25584 26496 26624 27508 27716 28704 29952 30176 31096 31488 32448 32768 33856 33948 34112 34983 35328 36777 36864 38088 38272 38376 39936 41262 41574 41984 43056 43264 43378 45264 46644 47104 47232 48672 49036 49152 50784 51168 52992 53248 55016 55432 57408 59904 60352 61893 62192 62361 62976 64896 65067 65536 67712 67896 68224 69966 70656 73554 73728 76176 76544 76752 79872 82524 83148 83968 86112 86528 86756 89401 90528 93288 94208 94464 97344 98072 98304 101568 102336 105984 106496 110032 110331 110864 114816 119808 120704 123786 124384 124722 125952 129792 130134 131072 135424 135792 136448 139932 141312 147108 147456 152352 153088 153504 159367 159744 165048 166296 167936 172224 173056 173512 178802 181056 186576 188416 188928 194688 195201 196144 196608 203136 204672 211968 212992 220064 220662 221728 229632 239616 241408 247572 248768 249444 251904 259584 260268 262144 268203 270848 271584 272896 279864 281957 282624 294216 294912 304704 306176 307008 318734 319488 330096 332592 335872 344448 346112 347024 357604 362112 373152 376832 377856 389376 390402 392288 393216 406272 409344 423936 425984 440128 441324 443456 459264 478101 479232 482816 495144 497536 498888 503808 519168 520536 524288 536406 541696 543168 545792 559728 563914 565248 588432 589824 609408 612352 614016 637468 638976 660192 665184 671744 688896 692224 694048 715208 724224 746304 753664 755712 778752 780804 784576 786432 804609 812544 818688 845871 847872 851968 880256 882648 886912 918528 956202 958464 965632 990288 995072 997776 1007616 1038336 1041072 1048576 1072812 1083392 1086336 1091584 1119456 1127828 1130496 1176864 1179648 1218816 1224704 1228032 1274936 1277952 1320384 1330368 1343488 1377792 1384448 1388096 1430416 1434303 1448448 1492608 1507328 1511424 1557504 1561608 1569152 1572864 1609218 1625088 1637376 1691742 1695744 1703936 1760512 1765296 1773824 1837056 1912404 1916928 1931264 1980576 1990144 1995552 2015232 2076672 2082144 2097152 2145624 2166784 2172672 2183168 2238912 2255656 2260992 2353728 2359296 2437632 2449408 2456064 2537613 2549872 2555904 2640768 2660736 2686976 2755584 2768896 2776192 2860832 2868606 2896896 2985216 3014656 3022848 3115008 3123216 3138304 3145728 3218436 3250176 3274752 3383484 3391488 3407872 3521024 3530592 3547648 3665441 3674112 3824808 3833856 3862528 3961152 3980288 3991104 4030464 4153344 4164288 4194304 4291248 4333568 4345344 4366336 4477824 4511312 4521984 4707456 4718592 4875264 4898816 4912128 5075226 5099744 5111808 5281536 5321472 5373952 5511168 5537792 5552384 5721664 5737212 5793792 5970432 6029312 6045696 6230016 6246432 6276608 6291456 6436872 6500352 6549504 6766968 6782976 6815744 7042048 7061184 7095296 7330882 7348224 7649616 7667712 7725056 7922304 7960576 7982208 8060928 8306688 8328576 8582496 8667136 8690688 8732672 8955648 9022624 9043968 9414912 9437184 9750528 9797632 9824256 10150452 10199488 10223616 10563072 10642944 10747904 10996323 11022336 11075584 11104768 11443328 11474424 11587584 11940864 12058624 12091392 12460032 12492864 12553216 12582912 12873744 13000704 13099008 13533936 13565952 13631488 14084096 14122368 14190592 14661764 14696448 15299232 15335424 15450112 15844608 15921152 15964416 16121856 16613376 16657152 17164992 17334272 17381376 17465344 17911296 18045248 18087936 18829824 18874368 19501056 19595264 19648512 20300904 20398976 20447232 21126144 21285888 21495808 21992646 22044672 22151168 22209536 22886656 22948848 23175168 23881728 24117248 24182784 24920064 24985728 25106432 25747488 26001408 26198016 27067872 27131904 27262976 28168192 28244736 28381184 29323528 29392896 30598464 30670848 30900224 31689216 31842304 31928832 32243712 32988969 33226752 33314304 34329984 34668544 34762752 34930688 35822592 36090496 36175872 37659648 37748736 39002112 39190528 39297024 40601808 40797952 40894464 42252288 42571776 42991616 43985292 44089344 44302336 44419072 45773312 45897696 46350336 47763456 48234496 48365568 49840128 49971456 50212864 51494976 52002816 52396032 54135744 54263808 54525952 56336384 56489472 56762368 58647056 58785792 61196928 61341696 61800448 63378432 63684608 63857664 64487424 65977938 66453504 66628608 68659968 69337088 69525504 69861376 71645184 72180992 72351744 75319296 78004224 78381056 78594048 81203616 81595904 81788928 84504576 85143552 85983232 87970584 88178688 88604672 88838144 91546624 91795392 92700672 95526912 96468992 96731136 99680256 99942912 100425728 102989952 104005632 104792064 108271488 108527616 112672768 112978944 113524736 117294112 117571584 122393856 122683392 123600896 126756864 127369216 127715328 128974848 131955876 132907008 133257216 137319936 138674176 139051008 139722752 143290368 144361984 144703488 150638592 156008448 156762112 157188096 162407232 163191808 163577856 169009152 170287104 171966464 175941168 176357376 177209344 177676288 183093248 183590784 185401344 191053824 193462272 199360512 199885824 200851456 205979904 208011264 209584128 216542976 217055232 225345536 225957888 227049472 234588224 235143168 244787712 245366784 247201792 253513728 254738432 255430656 257949696 263911752 265814016 266514432 274639872 277348352 278102016 279445504 286580736 288723968 289406976 301277184 312016896 313524224 314376192 324814464 326383616 338018304 340574208 351882336 352714752 354418688 355352576 366186496 367181568 370802688 382107648 386924544 398721024 399771648 401702912 411959808 416022528 419168256 433085952 434110464 450691072 451915776 454098944 469176448 470286336 489575424 490733568 494403584 507027456 509476864 510861312 515899392 527823504 531628032 533028864 549279744 554696704 556204032 558891008 573161472 577447936 602554368 624033792 627048448 628752384 649628928 652767232 676036608 681148416 703764672 705429504 708837376 710705152 732372992 734363136 741605376 764215296 773849088 797442048 799543296 803405824 823919616 832045056 838336512 866171904 868220928 901382144 903831552 908197888 938352896 940572672 979150848 988807168 1014054912 1018953728 1021722624 1055647008 1063256064 1066057728 1098559488 1109393408 1112408064 1117782016 1146322944 1154895872 1205108736 1248067584 1254096896 1257504768 1299257856 1305534464 1352073216 1362296832 1407529344 1410859008 1421410304 1464745984 1468726272 1483210752 1528430592 1547698176 1594884096 1599086592 1606811648 1647839232 1664090112 1676673024 1732343808 1802764288 1807663104 1816395776 1876705792 1881145344 1958301696 1977614336 2028109824 2037907456 2043445248 2111294016 2126512128 2132115456 2197118976 2218786816 2224816128 2235564032 2292645888 2309791744 2410217472 2496135168 2515009536 2598515712 2611068928 2704146432 2724593664 2815058688 2821718016 2842820608 2929491968 2937452544 2966421504 3056861184 3189768192 3198173184 3213623296 3295678464 3328180224 3353346048 3464687616 3605528576 3615326208 3632791552 3753411584 3762290688 3916603392 3955228672 4056219648 4075814912 4086890496 4222588032 4264230912 4394237952 4449632256 4585291776 4619583488 4820434944 4992270336 5030019072 5197031424 5222137856 5408292864 5449187328 5630117376 5643436032 5685641216 5858983936 5874905088 5932843008 6113722368 6379536384 6396346368 6427246592 6591356928 6656360448 6706692096 6929375232 7211057152 7230652416 7265583104 7506823168 7833206784 8112439296 8151629824 8173780992 8445176064 8528461824 8788475904 8899264512 9170583552 9239166976 9640869888 9984540672 10060038144 10394062848 10444275712 10816585728 10898374656 11260234752 11286872064 11371282432 11717967872 11749810176 11865686016 12227444736 12792692736 12854493184 13182713856 13858750464 14422114304 14461304832 14531166208 15013646336 15666413568 16224878592 16303259648 16347561984 16890352128 17056923648 17576951808 17798529024 18341167104 18478333952 19281739776 19969081344 20120076288 20788125696 20888551424 21633171456 21796749312 22520469504 22742564864 23435935744 23499620352 24454889472 25585385472 25708986368 26365427712 27717500928 28844228608 28922609664 29062332416 30027292672 31332827136 32449757184 32695123968 33780704256 34113847296 35153903616 35597058048 36682334208 36956667904 38563479552 41576251392 41777102848 43266342912 43593498624 45040939008 45485129728 46871871488 46999240704 48909778944 51170770944 51417972736 52730855424 55435001856 57845219328 60054585344 62665654272 64899514368 65390247936 67561408512 68227694592 70307807232 73364668416 73913335808 77126959104 83152502784 83554205696 86532685824 87186997248 90081878016 90970259456 93743742976 93998481408 102341541888 105461710848 110870003712 115690438656 120109170688 125331308544 129799028736 130780495872 135122817024 136455389184 140615614464 146729336832 147826671616 154253918208 166305005568 167108411392 180163756032 187487485952 187996962816 204683083776 210923421696 221740007424 231380877312 240218341376 250662617088 259598057472 261560991744 270245634048 272910778368 281231228928 295653343232 332610011136 334216822784 360327512064 374974971904 375993925632 409366167552 421846843392 443480014848 462761754624 480436682752 501325234176 540491268096 562462457856 591306686464 665220022272 668433645568 720655024128 751987851264 818732335104 843693686784 886960029696 960873365504 1002650468352 1080982536192 1124924915712 1182613372928 1330440044544 1441310048256 1503975702528 1687387373568 1773920059392 1921746731008 2005300936704 2161965072384 2660880089088 2882620096512 3007951405056 3374774747136 3547840118784 3843493462016 4323930144768 5321760178176 5765240193024 6015902810112 7686986924032 8647860289536 10643520356352 11530480386048 15373973848064 17295720579072 23060960772096 34591441158144 46121921544192 69182882316288 138365764632576
- Sum of all divisors σ(n): 463509577326978
- Sum of proper divisors (its aliquot sum) s(n): 325143812694402
- 138365764632576 is an abundant number, because the sum of its proper divisors (325143812694402) is greater than itself. Its abundance is 186778048061826
Bases of 138365764632576
- Binary: 111110111010111110010100100000000000000000000002
- Hexadecimal: 0x7DD7CA400000
- Base-36: 1D1OCRRI80
Squares and roots of 138365764632576
- 138365764632576 squared (1383657646325762) is 19145084822357419456280395776
- 138365764632576 cubed (1383657646325763) is 2649024300401009800724268529744640502398976
-
The
square root of 138365764632576 is 11762897.7991214391 -
The
cube root of 138365764632576 is 51722.1078826453
Scales and comparisons
How big is 138365764632576?- 138,365,764,632,576 seconds is equal to 4,399,603 years, 16 weeks, 5 days, 4 hours, 9 minutes, 36 seconds.
-
To count from 1 to 138,365,764,632,576 would take you about ten million, nine hundred ninety-nine thousand and eight 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 138365764632576 cubic inches would be around 4310.2 feet tall.
Recreational maths with 138365764632576
- 138365764632576 backwards is 675236467563831
- 138365764632576 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138365764632576's digits is 72
- More coming soon!
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The information we have on file for 138365764632576 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!
Keywords: Divisors of 138365764632576, math, Factors of 138365764632576, curriculum, school, college, exams, university, Prime factorization of 138365764632576, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred sixty-five billion, seven hundred sixty-four million, six hundred thirty-two thousand, five hundred seventy-six.