137716475313216096
137,716,475,313,216,096 is an even composite number composed of five prime numbers multiplied together.
What does the number 137716475313216096 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1440 divisors.
137716475313216096 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 137716475313216096:
25 × 32 × 113 × 314 × 733
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 11 × 11 × 31 × 31 × 31 × 31 × 73 × 73 × 73)See below for interesting mathematical facts about the number 137716475313216096 from the Numbermatics database.
Names of 137716475313216096
- Cardinal: 137716475313216096 can be written as One hundred thirty-seven quadrillion, seven hundred sixteen trillion, four hundred seventy-five billion, three hundred thirteen million, two hundred sixteen thousand and ninety-six.
Scientific notation
- Scientific notation: 1.37716475313216096 × 1017
Factors of 137716475313216096
Divisors of 137716475313216096
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 31 32 33 36 44 48 62 66 72 73 88 93 96 99 121 124 132 144 146 176 186 198 219 242 248 264 279 288 292 341 352 363 372 396 438 484 496 528 558 584 657 682 726 744 792 803 876 961 968 992 1023 1056 1089 1116 1168 1314 1331 1364 1452 1488 1584 1606 1752 1922 1936 2046 2178 2232 2263 2336 2409 2628 2662 2728 2883 2904 2976 3069 3168 3212 3504 3751 3844 3872 3993 4092 4356 4464 4526 4818 5256 5324 5329 5456 5766 5808 6138 6424 6789 7008 7227 7502 7688 7986 8184 8649 8712 8833 8928 9052 9636 10512 10571 10648 10658 10912 11253 11532 11616 11979 12276 12848 13578 14454 15004 15376 15972 15987 16368 17298 17424 17666 18104 19272 20367 21024 21142 21296 21316 22506 23064 23958 24552 24893 25696 26499 27156 28908 29791 30008 30752 31713 31944 31974 32736 33759 34596 34848 35332 36208 38544 40734 41261 42284 42592 42632 45012 46128 47916 47961 49104 49786 52998 54312 57816 58619 59582 60016 63426 63888 63948 67518 69192 70153 70664 72416 74679 77088 79497 81468 82522 84568 85264 89373 90024 92256 95139 95832 95922 97163 98208 99572 105996 108624 115632 116281 117238 119164 120032 123783 126852 127776 127896 135036 138384 140306 141328 149358 158994 162936 165044 165199 169136 170528 175857 178746 180048 190278 191664 191844 194326 199144 210459 211992 217248 224037 231264 232562 234476 238328 247566 253704 255792 268119 270072 273823 276768 280612 282656 291489 298716 317988 325872 327701 330088 330398 338272 348843 351714 357492 360096 371349 380556 383328 383688 388652 389017 398288 420918 423984 448074 465124 468952 476656 495132 495597 507408 511584 527571 536238 540144 547646 561224 582978 597432 631377 635976 644809 651744 655402 660176 660796 697686 703428 714984 742698 761112 767376 771683 777304 778034 796576 821469 841836 847968 874467 896148 923521 930248 937904 953312 983103 990264 991194 1014816 1046529 1055142 1072476 1080288 1095292 1122448 1165956 1167051 1194864 1262754 1271952 1279091 1289618 1310804 1320352 1321592 1395372 1406856 1429968 1485396 1486791 1522224 1534752 1543366 1554608 1556068 1642938 1683672 1748934 1792296 1817189 1847042 1860496 1875808 1934427 1966206 1980528 1982388 2093058 2110284 2144952 2174743 2190584 2244896 2315049 2331912 2334102 2389728 2464407 2525508 2543904 2558182 2579236 2621608 2643184 2770563 2790744 2813712 2859936 2949309 2970792 2973582 3012053 3044448 3086732 3109216 3112136 3285876 3367344 3497868 3501153 3584592 3604711 3634378 3694084 3720992 3837273 3868854 3932412 3961056 3964776 4186116 4220568 4279187 4289904 4349486 4381168 4630098 4663824 4668204 4928814 5051016 5116364 5121169 5158472 5243216 5286368 5451567 5541126 5581488 5627424 5803281 5898618 5941584 5947164 6024106 6173464 6224272 6524229 6571752 6734688 6945147 6995736 7002306 7092899 7169184 7209422 7268756 7388168 7674546 7737708 7864824 7929552 8311689 8372232 8441136 8488513 8558374 8579808 8698972 8762336 9036159 9260196 9327648 9336408 9857628 10102032 10158731 10232728 10242338 10316944 10486432 10814133 10903134 11082252 11162976 11511819 11606562 11797236 11883168 11894328 12048212 12059527 12346928 12448544 12837561 13048458 13143504 13890294 13991472 14004612 14185798 14418844 14537512 14776336 15349092 15363507 15475416 15729648 15859104 16354701 16623378 16744464 16882272 16977026 17116748 17397944 18072318 18520392 18672816 19572687 19715256 19989079 20204064 20317462 20465456 20484676 20633888 21278697 21628266 21806268 22164504 23023638 23213124 23594472 23788656 23922173 24096424 24119054 24693856 25465539 25675122 26096916 26287008 27108477 27780588 27982944 28009224 28371596 28837688 29075024 29552672 30476193 30698184 30727014 30950832 31459296 32442399 32709402 33246756 33488928 33954052 34233496 34795888 36144636 36178581 37040784 37345632 38512683 39145374 39430512 39651821 39978158 40634924 40930912 40969352 42557394 43256532 43612536 44329008 46047276 46090521 46426248 47071057 47188944 47577312 47844346 48192848 48238108 50931078 51350244 52193832 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36714602856096 39302647064274 42875614979208 43471109631697 44873403490784 46275697349871 47423028689124 47768461780512 50482578927132 51734213115408 52403529419032 57167486638944 58953970596411 60855711583392 61700929799828 63230704918832 67310105236176 71134543033686 71652692670768 78605294128548 85751229958416 86942219263394 92551394699742 94846057378248 100965157854264 103468426230816 104807058838064 117907941192822 123401859599656 126461409837664 130413328895091 134620210472352 138827092049613 142269086067372 143305385341536 157210588257096 171502459916832 173884438526788 185102789399484 189692114756496 201930315708528 209614117676128 235815882385644 246803719199312 260826657790182 277654184099226 284538172134744 314421176514192 347768877053576 370205578798968 379384229512992 391239986685273 403860631417056 471631764771288 478182205948667 493607438398624 521653315580364 555308368198452 569076344269488 628842353028384 695537754107152 740411157597936 782479973370546 943263529542576 956364411897334 1043306631160728 1110616736396904 1138152688538976 1391075508214304 1434546617846001 1480822315195872 1564959946741092 1886527059085152 1912728823794668 2086613262321456 2221233472793808 2869093235692002 3129919893482184 3825457647589336 4173226524642912 4303639853538003 4442466945587616 5738186471384004 6259839786964368 7650915295178672 8607279707076006 11476372942768008 12519679573928736 15301830590357344 17214559414152012 22952745885536016 34429118828304024 45905491771072032 68858237656608048 137716475313216096
- Sum of all divisors σ(n): 451305999093549600
- Sum of proper divisors (its aliquot sum) s(n): 313589523780333504
- 137716475313216096 is an abundant number, because the sum of its proper divisors (313589523780333504) is greater than itself. Its abundance is 175873048467117408
Bases of 137716475313216096
- Binary: 1111010010100010001100111100101101100001101011010011000002
- Hexadecimal: 0x1E9446796C35A60
- Base-36: 11O0EZCZGT40
Squares and roots of 137716475313216096
- 137716475313216096 squared (1377164753132160962) is 18965827572695658406867522793481216
- 137716475313216096 cubed (1377164753132160963) is 2611906924709854793326801353449011124798800724852736
-
The
square root of 137716475313216096 is 371101704.8104415485 -
The
cube root of 137716475313216096 is 516410.7801437657
Scales and comparisons
How big is 137716475313216096?- 137,716,475,313,216,096 seconds is equal to 4,378,957,929 years, 48 weeks, 3 days, 13 hours, 21 minutes, 36 seconds.
-
To count from 1 to 137,716,475,313,216,096 would take you about thirteen billion, one hundred thirty-six million, eight hundred seventy-three thousand, seven hundred eighty-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 137716475313216096 cubic inches would be around 43034.2 feet tall.
Recreational maths with 137716475313216096
- 137716475313216096 backwards is 690612313574617731
- 137716475313216096 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137716475313216096's digits is 72
- More coming soon!
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"Number 137716475313216096 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 137716475313216096 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/137716475313216096/
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The information we have on file for 137716475313216096 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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