13917711388672
13,917,711,388,672 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13917711388672 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1664 divisors.
13917711388672 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, six hundred sixty-four divisors.
Prime factorization of 13917711388672:
212 × 7 × 13 × 17 × 23 × 29 × 37 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 13 × 17 × 23 × 29 × 37 × 89)See below for interesting mathematical facts about the number 13917711388672 from the Numbermatics database.
Names of 13917711388672
- Cardinal: 13917711388672 can be written as Thirteen trillion, nine hundred seventeen billion, seven hundred eleven million, three hundred eighty-eight thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 1.3917711388672 × 1013
Factors of 13917711388672
Divisors of 13917711388672
- Number of divisors d(n): 1664
-
Complete list of divisors:
1 2 4 7 8 13 14 16 17 23 26 28 29 32 34 37 46 52 56 58 64 68 74 89 91 92 104 112 116 119 128 136 148 161 178 182 184 203 208 221 224 232 238 256 259 272 296 299 322 356 364 368 377 391 406 416 442 448 464 476 481 493 512 518 544 592 598 623 629 644 667 712 728 736 754 782 812 832 851 884 896 928 952 962 986 1024 1036 1073 1088 1157 1184 1196 1246 1258 1288 1334 1424 1456 1472 1508 1513 1547 1564 1624 1664 1702 1768 1792 1856 1904 1924 1972 2047 2048 2072 2093 2146 2176 2314 2368 2392 2492 2516 2576 2581 2639 2668 2737 2848 2912 2944 3016 3026 3094 3128 3248 3293 3328 3367 3404 3451 3536 3584 3712 3808 3848 3944 4094 4096 4144 4186 4292 4352 4403 4628 4669 4736 4784 4984 5032 5083 5152 5162 5278 5336 5474 5696 5824 5888 5957 6032 6052 6188 6256 6409 6496 6586 6656 6734 6808 6902 7072 7168 7424 7511 7616 7696 7888 8099 8177 8188 8288 8372 8584 8671 8704 8806 9256 9338 9472 9568 9968 10064 10166 10304 10324 10556 10591 10672 10948 11063 11339 11392 11648 11776 11914 12064 12104 12376 12512 12818 12992 13172 13312 13468 13616 13804 13949 14144 14329 14336 14467 14848 15022 15232 15392 15776 16198 16354 16376 16576 16744 17168 17342 17408 17612 18067 18241 18512 18676 18944 19136 19669 19936 20128 20332 20608 20648 21112 21182 21344 21896 22126 22678 22784 23051 23296 23552 23828 24128 24208 24679 24752 25024 25636 25984 26344 26611 26624 26936 27232 27608 27898 28288 28658 28672 28934 29696 30044 30464 30784 31552 32396 32708 32752 33152 33488 33553 34336 34684 34799 34816 35224 35581 36134 36482 37024 37352 37888 38272 39338 39872 40256 40664 41216 41296 42224 42364 42688 42809 43792 43877 44252 44863 45356 45568 46102 46592 47104 47656 48256 48416 49358 49504 50048 51272 51968 52688 53222 53248 53872 54464 55216 55796 55981 56576 57239 57316 57868 59363 59392 60088 60697 60928 61568 63104 64792 65416 65504 66304 66976 67106 68672 69368 69598 69632 70448 71162 72268 72964 74048 74704 75739 75776 76544 77441 78676 79373 79744 80512 81328 82432 82592 84448 84728 85376 85618 87584 87754 88504 89726 90712 91136 92204 93184 94208 95312 95497 96512 96832 97643 98716 99008 100096 101269 102544 103936 105376 106444 107744 108928 110432 111592 111962 113152 114478 114632 115736 118726 118784 120176 121394 121856 123136 126208 127687 129584 130832 131008 132608 133952 134212 137344 137683 138736 139196 140896 142324 144536 145928 147407 148096 149408 151478 151552 153088 154882 157352 158746 159488 161024 162656 164864 165184 168896 169456 170752 171236 172753 175168 175508 177008 179452 181424 182272 184408 186277 186368 188071 190624 190994 193024 193664 195286 197432 198016 200192 202538 205088 207872 210752 212888 215488 217856 220864 223184 223924 226304 228956 229264 231472 234871 237133 237452 240352 242788 243593 243712 246272 252416 255374 259168 261664 262016 265216 267904 268424 274688 275366 277472 278392 281792 284648 289072 291856 294814 296192 298816 299663 302956 306176 307139 309764 314704 317492 318976 320827 322048 325312 329728 330368 337792 338912 341504 342472 345506 350336 351016 354016 358904 362848 364544 368816 372554 372736 376142 381248 381988 386048 387328 390572 391867 394864 396032 400384 405076 410176 415541 415744 419543 421504 425776 430976 435712 441728 446368 447848 452387 452608 457912 458528 462944 469742 474266 474904 480704 485576 487186 487424 492544 504832 510748 518336 523328 524032 530173 530432 535808 536848 549376 550732 554944 556784 563584 569296 570401 578144 583712 589628 592384 597632 599326 605912 612352 614278 619528 629408 634984 637952 641654 644096 650624 659456 660736 668479 675584 677824 683008 684944 691012 700672 702032 708032 717808 725696 727753 737632 745108 752284 762496 763976 771719 772096 774656 781144 783734 789728 792064 800768 810152 820352 831082 831488 839086 843008 851552 861952 871424 883456 892736 895696 904774 905216 915824 917056 925888 939484 948532 949808 961408 971152 974372 984607 985088 1009171 1009664 1021496 1031849 1036672 1046656 1048064 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367338244 372609536 375910528 381495296 385169408 391155712 395120128 399750442 399945728 401271808 405338752 414797824 415602944 419815136 424942336 425513984 429612032 441103936 452108608 456857648 463244288 468672932 481015808 485411251 485648384 492000544 498878464 504118784 511079296 516695552 522750578 523005952 528306688 535626208 542897152 556174528 562286336 563949568 574921984 576828224 584090624 590935436 597429232 603779072 610854608 613709824 629020672 635628032 652066688 657053696 659232256 674046464 675354784 684522496 691460224 698119552 707596288 727305152 734676488 745219072 751821056 762990592 770338816 790240256 799500884 802543616 810677504 831205888 839630272 849884672 851027968 859224064 882207872 904217216 913715296 926488576 937345864 962031616 970822502 971296768 984001088 997756928 1008237568 1022158592 1033391104 1045501156 1056613376 1071252416 1085794304 1112349056 1124572672 1149843968 1153656448 1168181248 1181870872 1194858464 1221709216 1227419648 1258041344 1271256064 1304133376 1314107392 1318464512 1348092928 1350709568 1369044992 1382920448 1396239104 1454610304 1469352976 1490438144 1503642112 1580480512 1599001768 1605087232 1621355008 1662411776 1679260544 1699769344 1702055936 1718448128 1764415744 1808434432 1827430592 1852977152 1874691728 1941645004 1968002176 2016475136 2044317184 2066782208 2091002312 2113226752 2142504832 2171588608 2224698112 2249145344 2299687936 2307312896 2336362496 2363741744 2389716928 2443418432 2542512128 2608266752 2636929024 2696185856 2701419136 2738089984 2765840896 2792478208 2909220608 2938705952 2980876288 3007284224 3160961024 3198003536 3242710016 3324823552 3358521088 3397878757 3399538688 3528831488 3616868864 3654861184 3749383456 3883290008 3936004352 4032950272 4088634368 4133564416 4182004624 4226453504 4285009664 4449396224 4498290688 4599375872 4614625792 4727483488 4779433856 4886836864 5085024256 5216533504 5273858048 5392371712 5402838272 5531681792 5584956416 5818441216 5877411904 6014568448 6396007072 6485420032 6649647104 6717042176 6795757514 6799077376 7057662976 7233737728 7309722368 7498766912 7766580016 7872008704 8177268736 8364009248 8570019328 8898792448 8996581376 9198751744 9229251584 9454966976 9558867712 9773673728 10433067008 10805676544 11063363584 11169912832 11636882432 11754823808 12029136896 12792014144 12970840064 13434084352 13591515028 14115325952 14467475456 14619444736 14997533824 15533160032 15744017408 16354537472 16728018496 17140038656 17797584896 18458503168 18909933952 19117735424 19547347456 20866134016 21611353088 22126727168 22339825664 23273764864 23509647616 25584028288 26868168704 27183030056 28230651904 28934950912 29238889472 29995067648 31066320064 31488034816 33456036992 34280077312 35595169792 36917006336 37819867904 38235470848 39094694912 43222706176 46547529728 47019295232 51168056576 53736337408 54366060112 58477778944 59990135296 62132640128 62976069632 66912073984 68560154624 75639735808 76470941696 78189389824 86445412352 94038590464 102336113152 108732120224 116955557888 119980270592 124265280256 133824147968 151279471616 152941883392 156378779648 188077180928 204672226304 217464240448 239960541184 248530560512 267648295936 302558943232 376154361856 409344452608 434928480896 479921082368 497061121024 535296591872 605117886464 818688905216 869856961792 994122242048 1070593183744 1739713923584 1988244484096 3479427847168 6958855694336 13917711388672
- Sum of all divisors σ(n): 40661749094400
- Sum of proper divisors (its aliquot sum) s(n): 26744037705728
- 13917711388672 is an abundant number, because the sum of its proper divisors (26744037705728) is greater than itself. Its abundance is 12826326317056
Bases of 13917711388672
- Binary: 110010101000011110000011111001010000000000002
- Hexadecimal: 0xCA8783E5000
- Base-36: 4XLPI0KXS
Squares and roots of 13917711388672
- 13917711388672 squared (139177113886722) is 193702690298370290649923584
- 13917711388672 cubed (139177113886723) is 2695898138782033519899816221683323240448
-
The
square root of 13917711388672 is 3730644.9025164537 -
The
cube root of 13917711388672 is 24054.1090448283
Scales and comparisons
How big is 13917711388672?- 13,917,711,388,672 seconds is equal to 442,540 years, 8 weeks, 6 days, 13 hours, 17 minutes, 52 seconds.
-
To count from 1 to 13,917,711,388,672 would take you about one million, one hundred six thousand, three hundred fifty 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 13917711388672 cubic inches would be around 2004.5 feet tall.
Recreational maths with 13917711388672
- 13917711388672 backwards is 27688311771931
- 13917711388672 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13917711388672's digits is 64
- More coming soon!
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MLA style:
"Number 13917711388672 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
APA style:
Numbermatics. (2024). Number 13917711388672 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/13917711388672/
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Numbermatics. 2024. "Number 13917711388672 - Facts about the integer". https://numbermatics.com/n/13917711388672/
The information we have on file for 13917711388672 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 13917711388672, math, Factors of 13917711388672, curriculum, school, college, exams, university, Prime factorization of 13917711388672, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, nine hundred seventeen billion, seven hundred eleven million, three hundred eighty-eight thousand, six hundred seventy-two.