13537675380393216
13,537,675,380,393,216 is an even composite number composed of five prime numbers multiplied together.
13537675380393216 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13537675380393216:
28 × 33 × 132 × 313 × 733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 13 × 31 × 31 × 31 × 73 × 73 × 73)See below for interesting mathematical facts about the number 13537675380393216 from the Numbermatics database.
Names of 13537675380393216
- Cardinal: 13537675380393216 can be written as Thirteen quadrillion, five hundred thirty-seven trillion, six hundred seventy-five billion, three hundred eighty million, three hundred ninety-three thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.3537675380393216 × 1016
Factors of 13537675380393216
Divisors of 13537675380393216
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 32 36 39 48 52 54 62 64 72 73 78 93 96 104 108 117 124 128 144 146 156 169 186 192 208 216 219 234 248 256 279 288 292 312 338 351 372 384 403 416 432 438 468 496 507 558 576 584 624 657 676 702 744 768 806 832 837 864 876 936 949 961 992 1014 1116 1152 1168 1209 1248 1314 1352 1404 1488 1521 1612 1664 1674 1728 1752 1872 1898 1922 1971 1984 2028 2232 2263 2304 2336 2418 2496 2628 2704 2808 2847 2883 2976 3042 3224 3328 3348 3456 3504 3627 3744 3796 3844 3942 3968 4056 4464 4526 4563 4672 4836 4992 5239 5256 5329 5408 5616 5694 5766 5952 6084 6448 6696 6789 6912 7008 7254 7488 7592 7688 7884 7936 8112 8541 8649 8928 9052 9126 9344 9672 9984 10478 10512 10658 10816 10881 11232 11388 11532 11904 12168 12337 12493 12896 13392 13578 14016 14508 14976 15184 15376 15717 15768 15987 16224 17082 17298 17856 18104 18252 18688 19344 20367 20956 21024 21316 21632 21762 22464 22776 23064 23808 24336 24674 24986 25623 25792 25947 26784 27156 28032 29016 29419 29791 29952 30368 30752 31434 31536 31974 32448 34164 34596 35712 36208 36504 37011 37479 38688 40734 41912 42048 42632 43264 43524 44928 45552 46128 47151 47961 48672 49348 49972 51246 51584 51894 53568 54312 56064 58032 58838 59582 60736 61101 61504 62868 63072 63948 64896 68328 69192 69277 70153 71424 72416 73008 74022 74958 77376 81468 83824 84096 85264 87048 88257 89373 89856 91104 92256 94302 95922 97344 98696 99944 102492 103168 103788 107136 108624 111033 112437 116064 117676 119164 121472 122202 123008 125736 126144 127896 129792 136656 138384 138554 140306 141453 143883 144832 146016 148044 149916 154752 162409 162936 165199 167648 168192 170528 174096 176514 178746 182208 184512 188604 191844 194688 197392 199888 204984 207576 207831 210459 214272 217248 222066 224874 232128 235352 238328 242944 244404 246016 251472 252288 255792 264771 268119 273312 276768 277108 280612 282906 287766 289664 292032 296088 299832 309504 324818 325872 330398 333099 335296 337311 341056 348192 353028 357492 364416 369024 377208 382447 383688 387283 389017 389376 394784 399776 409968 415152 415662 420918 434496 444132 449748 464256 470704 476656 487227 488808 495597 502944 504576 511584 529542 536238 546624 553536 554216 561224 565812 575532 579328 584064 592176 599664 623493 631377 649636 651744 660796 666198 670592 674622 682112 696384 706056 714984 728832 738048 754416 764894 767376 774566 778034 789568 794313 799552 804357 819936 830304 831324 841836 868992 888264 899496 900601 911989 928512 941408 953312 974454 977616 991194 1005888 1023168 1059084 1072476 1093248 1107072 1108432 1122448 1131624 1147341 1151064 1161849 1167051 1168128 1184352 1199328 1246986 1262754 1299272 1303488 1321592 1332396 1341184 1349244 1364224 1392768 1412112 1429968 1461681 1486791 1508832 1529788 1534752 1549132 1556068 1579136 1588626 1599104 1608714 1639872 1660608 1662648 1683672 1737984 1776528 1798992 1801202 1823978 1870479 1882816 1894131 1906624 1948908 1955232 1982388 2011776 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230083880832 233279490288 241468239519 249257537568 252719447812 260871688064 262439426574 264170381696 270905214528 274330780992 278140930728 282264243456 287113218816 293480649072 297191679408 301319341622 311039320384 312908547069 317547273888 321957652692 323002371168 332343383424 349919235432 361206952704 365774374656 370854574304 373886306352 379079171718 391307532096 396255572544 417211396092 423396365184 429276870256 430669828224 440220973608 445787519112 451979012433 454421650176 460167761664 466558980576 482936479038 498515075136 505438895624 521743376128 524878853148 528340763392 541810429056 548661561984 556281861456 568618757577 586961298144 594383358816 602638683244 622078640768 625817094138 635094547776 643915305384 646004742336 664686766848 699838470864 724404718557 741709148608 747772612704 758158343436 782615064192 792511145088 834422792184 846792730368 858553740512 861339656448 880441947216 891575038224 903958024866 933117961152 965872958076 997030150272 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5875727161629 5982180901632 6065266747488 6675382337472 6823425090924 6868429924096 7043535577728 7132600305792 7231664198928 7726983664608 7834302882172 8087022329984 8135622223794 8398061650368 8900509783296 9097900121232 9642218931904 10013073506208 10302644886144 10847496298392 11197415533824 11590475496912 11751454323258 12130533494976 13350764674944 13646850181848 14087071155456 14265200611584 14463328397856 15453967329216 15668605764344 16174044659968 16271244447588 16796123300736 17627181484887 18195800242464 19284437863808 20026147012416 20605289772288 21694992596784 23180950993824 23502908646516 24261066989952 26701529349888 27293700363696 28926656795712 30907934658432 31337211528688 32542488895176 33592246601472 35254362969774 36391600484928 38568875727616 40052294024832 43389985193568 46361901987648 47005817293032 48522133979904 52881544454661 54587400727392 57853313591424 61815869316864 62674423057376 65084977790352 70508725939548 72783200969856 80104588049664 86779970387136 92723803975296 94011634586064 105763088909322 109174801454784 115706627182848 125348846114752 130169955580704 141017451879096 145566401939712 173559940774272 185447607950592 188023269172128 211526177818644 218349602909568 250697692229504 260339911161408 282034903758192 347119881548544 376046538344256 423052355637288 436699205819136 501395384459008 520679822322816 564069807516384 752093076688512 846104711274576 1041359644645632 1128139615032768 1504186153377024 1692209422549152 2256279230065536 3384418845098304 4512558460131072 6768837690196608 13537675380393216
- Sum of all divisors σ(n): 45416740296345600
- Sum of proper divisors (its aliquot sum) s(n): 31879064915952384
- 13537675380393216 is an abundant number, because the sum of its proper divisors (31879064915952384) is greater than itself. Its abundance is 18341389535559168
Bases of 13537675380393216
- Binary: 1100000001100001110001101011000010001000000101000000002
- Hexadecimal: 0x301871AC220500
- Base-36: 3PAPE7P2DC0
Squares and roots of 13537675380393216
- 13537675380393216 squared (135376753803932162) is 183268654704904605524598778822656
- 13537675380393216 cubed (135376753803932163) is 2481031554796372410787416641811496150822809501696
-
The
square root of 13537675380393216 is 116351516.4507674821 -
The
cube root of 13537675380393216 is 238331.4555349177
Scales and comparisons
How big is 13537675380393216?- 13,537,675,380,393,216 seconds is equal to 430,456,202 years, 16 weeks, 3 days, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 13,537,675,380,393,216 would take you about one billion, two hundred ninety-one million, three hundred sixty-eight thousand, six hundred 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 13537675380393216 cubic inches would be around 19861 feet tall.
Recreational maths with 13537675380393216
- 13537675380393216 backwards is 61239308357673531
- 13537675380393216 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13537675380393216's digits is 72
- More coming soon!
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"Number 13537675380393216 - Facts about the integer". Numbermatics.com. 2024. Web. 1 June 2024.
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Numbermatics. (2024). Number 13537675380393216 - Facts about the integer. Retrieved 1 June 2024, from https://numbermatics.com/n/13537675380393216/
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The information we have on file for 13537675380393216 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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