138435776422272
138,435,776,422,272 is an even composite number composed of seven prime numbers multiplied together.
138435776422272 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138435776422272:
27 × 32 × 7 × 17 × 89 × 547 × 20743
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 17 × 89 × 547 × 20743)See below for interesting mathematical facts about the number 138435776422272 from the Numbermatics database.
Names of 138435776422272
- Cardinal: 138435776422272 can be written as One hundred thirty-eight trillion, four hundred thirty-five billion, seven hundred seventy-six million, four hundred twenty-two thousand, two hundred seventy-two.
Scientific notation
- Scientific notation: 1.38435776422272 × 1014
Factors of 138435776422272
Divisors of 138435776422272
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 64 68 72 84 89 96 102 112 119 126 128 136 144 153 168 178 192 204 224 238 252 267 272 288 306 336 356 357 384 408 448 476 504 534 544 547 576 612 623 672 712 714 801 816 896 952 1008 1068 1071 1088 1094 1152 1224 1246 1344 1424 1428 1513 1602 1632 1641 1869 1904 2016 2136 2142 2176 2188 2448 2492 2688 2848 2856 3026 3204 3264 3282 3738 3808 3829 4032 4272 4284 4376 4539 4896 4923 4984 5607 5696 5712 6052 6408 6528 6564 7476 7616 7658 8064 8544 8568 8752 9078 9299 9792 9846 9968 10591 11214 11392 11424 11487 12104 12816 13128 13617 14952 15232 15316 17088 17136 17504 18156 18598 19584 19692 19936 20743 21182 22428 22848 22974 24208 25632 26256 27234 27897 29904 30632 31773 34176 34272 34461 35008 36312 37196 39384 39872 41486 42364 44856 45696 45948 48416 48683 51264 52512 54468 55794 59808 61264 62229 63546 65093 68544 68922 70016 72624 74392 78768 79744 82972 83691 84728 89712 91896 95319 96832 97366 102528 105024 108936 111588 119616 122528 124458 127092 130186 137088 137844 145201 145248 146049 148784 157536 165944 167382 169456 179424 183792 186687 190638 193664 194732 195279 210048 217872 223176 239232 245056 248916 254184 260372 275688 290402 290496 292098 297568 315072 331888 334764 338912 340781 352631 358848 367584 373374 381276 389464 390558 435603 435744 438147 446352 490112 497832 508368 520744 551376 580804 580992 584196 585837 595136 630144 663776 669528 677824 681562 705262 717696 735168 746748 762552 778928 781116 827611 871206 871488 876294 892704 995664 1016736 1022343 1041488 1057893 1102752 1161608 1168392 1171674 1190272 1306809 1327552 1339056 1355648 1363124 1410524 1470336 1493496 1525104 1557856 1562232 1655222 1742412 1742976 1752588 1785408 1846127 1991328 2033472 2044686 2082976 2115786 2205504 2323216 2336784 2343348 2468417 2482833 2613618 2655104 2678112 2726248 2821048 2986992 3050208 3067029 3115712 3124464 3173679 3310444 3484824 3505176 3570816 3692254 3982656 4066944 4089372 4165952 4231572 4411008 4646432 4673568 4686696 4936834 4965666 5227236 5356224 5452496 5538381 5642096 5793277 5973984 6100416 6134058 6231424 6248928 6347358 6620888 6969648 7010352 7384508 7405251 7448499 7965312 8178744 8331904 8463144 9292864 9347136 9373392 9873668 9931332 10454472 10712448 10904992 11076762 11284192 11346421 11586554 11947968 12200832 12268116 12497856 12694716 12922889 13241776 13939296 14020704 14769016 14810502 14896998 16357488 16615143 16926288 17379831 18585728 18694272 18746784 19747336 19862664 20908944 21809984 22153524 22215753 22568384 22692842 23173108 23895936 24536232 24995712 25389432 25845778 26483552 27878592 28041408 29538032 29621004 29793996 31384159 32714976 33230286 33852576 34039263 34759662 37493568 38768667 39494672 39725328 41817888 43619968 44307048 44431506 45136768 45385684 46346216 49072464 50778864 51691556 52139493 52967104 55757184 56082816 59076064 59242008 59587992 62768318 65429952 66460572 67705152 68078526 69519324 74987136 77537334 78989344 79424947 79450656 83635776 88614096 88863012 90771368 92692432 94152477 98144928 101557728 102117789 103383112 104278986 105934208 116306001 118152128 118484016 119175984 125536636 130859904 132921144 135410304 136157052 139038648 155074668 157978688 158849894 158901312 167271552 177228192 177726024 181542736 185384864 188304954 192889157 196289856 203115456 204235578 206766224 208557972 219689113 232612002 236304256 236968032 238274841 238351968 251073272 265842288 272314104 278077296 282457431 310149336 315957376 317699788 317802624 354456384 355452048 363085472 370769728 376609908 385778314 392579712 406230912 408471156 413532448 417115944 439378226 465224004 473936064 476549682 476703936 502146544 531684576 544628208 556154592 564914862 578667471 620298672 635399576 659067339 708912768 710904096 714824523 726170944 741539456 753219816 771556628 816942312 827064896 834231888 878756452 930448008 947872128 953099364 953407872 1004293088 1009831469 1063369152 1089256416 1112309184 1129829724 1157334942 1240597344 1270799152 1318134678 1350224099 1421808192 1429649046 1452341888 1506439632 1543113256 1633884624 1654129792 1668463776 1736002413 1757512904 1860896016 1906198728 1977202017 2008586176 2019662938 2126738304 2178512832 2224618368 2259659448 2314669884 2481194688 2541598304 2636269356 2700448198 2843616384 2859298092 3012879264 3029494407 3086226512 3267769248 3336927552 3472004826 3515025808 3721792032 3812397456 3954404034 4017172352 4039325876 4050672297 4357025664 4519318896 4629339768 4962389376 5083196608 5272538712 5400896396 5718596184 6025758528 6058988814 6172453024 6535538496 6673855104 6944009652 7030051616 7068820283 7443584064 7624794912 7908808068 8078651752 8101344594 9038637792 9088483221 9258679536 10166393216 10545077424 10801792792 11437192368 12051517056 12117977628 12152016891 12344906048 13071076992 13888019304 14060103232 14137640566 14887168128 15249589824 15817616136 16157303504 16202689188 17167134973 18077275584 18176966442 18517359072 21090154848 21206460849 21603585584 22874384736 24235955256 24304033782 24689812096 27776038608 28120206464 28275281132 30499179648 31635232272 32314607008 32405378376 34334269946 36154551168 36353932884 37034718144 42180309696 42412921698 43207171168 45748769472 48471910512 48608067564 51501404919 55552077216 56550562264 63270464544 63619382547 64629214016 64810756752 68668539892 72707865768 74069436288 84360619392 84825843396 86414342336 91497538944 96943821024 97216135128 103002809838 111104154432 113101124528 120169944811 126540929088 127238765094 129258428032 129621513504 137337079784 145415731536 154504214757 169651686792 172828684672 193887642048 194432270256 206005619676 222208308864 226202249056 240339889622 253081858176 254477530188 259243027008 274674159568 290831463072 309008429514 339303373584 360509834433 387775284096 388864540512 412011239352 452404498112 480679779244 508955060376 518486054016 549348319136 581662926144 618016859028 678606747168 721019668866 777729081024 824022478704 904808996224 961359558488 1017910120752 1081529503299 1098696638272 1163325852288 1236033718056 1357213494336 1442039337732 1555458162048 1648044957408 1922719116976 2035820241504 2163059006598 2197393276544 2472067436112 2714426988672 2884078675464 3296089914816 3845438233952 4071640483008 4326118013196 4944134872224 5768157350928 6592179829632 7690876467904 8143280966016 8652236026392 9888269744448 11536314701856 15381752935808 17304472052784 19776539488896 23072629403712 34608944105568 46145258807424 69217888211136 138435776422272
- Sum of all divisors σ(n): 488384190028800
- Sum of proper divisors (its aliquot sum) s(n): 349948413606528
- 138435776422272 is an abundant number, because the sum of its proper divisors (349948413606528) is greater than itself. Its abundance is 211512637184256
Bases of 138435776422272
- Binary: 111110111101000000101110100011100100001100000002
- Hexadecimal: 0x7DE817472180
- Base-36: 1D2KIMZ4W0
Squares and roots of 138435776422272
- 138435776422272 squared (1384357764222722) is 19164464193637280184457641984
- 138435776422272 cubed (1384357764222723) is 2653047480363007768840418385236516979867648
-
The
square root of 138435776422272 is 11765873.3811932551 -
The
cube root of 138435776422272 is 51730.8300468399
Scales and comparisons
How big is 138435776422272?- 138,435,776,422,272 seconds is equal to 4,401,829 years, 24 weeks, 6 days, 19 hours, 31 minutes, 12 seconds.
-
To count from 1 to 138,435,776,422,272 would take you about eleven million, four thousand, five hundred seventy-three 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 138435776422272 cubic inches would be around 4310.9 feet tall.
Recreational maths with 138435776422272
- 138435776422272 backwards is 272224677534831
- 138435776422272 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138435776422272's digits is 63
- More coming soon!
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The information we have on file for 138435776422272 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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