107680003101216
107,680,003,101,216 is an even composite number composed of seven prime numbers multiplied together.
107680003101216 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 107680003101216:
25 × 34 × 7 × 132 × 31 × 373 × 3037
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 13 × 13 × 31 × 373 × 3037)See below for interesting mathematical facts about the number 107680003101216 from the Numbermatics database.
Names of 107680003101216
- Cardinal: 107680003101216 can be written as One hundred seven trillion, six hundred eighty billion, three million, one hundred one thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.07680003101216 × 1014
Factors of 107680003101216
Divisors of 107680003101216
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 31 32 36 39 42 48 52 54 56 62 63 72 78 81 84 91 93 96 104 108 112 117 124 126 144 156 162 168 169 182 186 189 208 216 217 224 234 248 252 273 279 288 312 324 336 338 351 364 372 373 378 403 416 432 434 468 496 504 507 546 558 567 624 648 651 672 676 702 728 744 746 756 806 819 837 864 868 936 992 1008 1014 1053 1092 1116 1119 1134 1183 1209 1248 1296 1302 1352 1404 1456 1488 1492 1512 1521 1612 1638 1674 1736 1872 1953 2016 2028 2106 2184 2232 2238 2268 2366 2418 2457 2511 2592 2604 2611 2704 2808 2821 2912 2976 2984 3024 3037 3042 3224 3276 3348 3357 3472 3549 3627 3744 3906 4056 4212 4368 4464 4476 4536 4563 4732 4836 4849 4914 5022 5208 5222 5239 5408 5616 5642 5859 5968 6048 6074 6084 6448 6552 6696 6714 6944 7098 7254 7371 7812 7833 8112 8424 8463 8736 8928 8952 9072 9111 9126 9464 9672 9698 9828 10044 10071 10416 10444 10478 10647 10881 11232 11284 11563 11718 11936 12148 12168 12896 13104 13392 13428 13689 14196 14508 14547 14742 15624 15666 15717 16224 16848 16926 17577 17904 18144 18222 18252 18928 19344 19396 19656 20088 20142 20832 20888 20956 21259 21294 21762 22568 23126 23436 23499 24296 24336 25389 26208 26784 26856 27333 27378 28392 29016 29094 29484 30213 31248 31332 31434 31941 32643 33696 33852 33943 34689 35154 35808 36444 36504 36673 37856 38688 38792 39312 39481 40176 40284 41776 41912 42518 42588 43524 43641 45136 46252 46872 46998 47151 48592 48672 50778 53712 54666 54756 56784 58032 58188 58968 60426 62496 62664 62868 63037 63777 63882 65286 67704 67886 69378 70308 70497 72888 73008 73346 76167 77584 78624 78962 80352 80568 80941 81999 83552 83824 85036 85176 87048 87282 90272 92504 93744 93996 94147 94302 95823 97184 101556 101829 104067 107424 109332 109512 110019 113568 116064 116376 117936 118443 120852 125328 125736 126074 127554 127764 130572 130923 135408 135772 138756 140616 140994 141453 145776 146016 146692 150319 152334 155168 157924 161136 161882 163998 167648 170072 170352 174096 174564 185008 187488 187992 188294 188604 189111 191331 191646 203112 203658 208134 211491 218664 219024 220038 228501 232752 235872 236886 241704 242823 245997 250656 251472 252148 255108 255528 261144 261846 270816 271544 276367 277512 281232 281988 282441 282906 291552 293384 300638 304668 305487 312201 315848 322272 323764 327996 330057 340144 340704 348192 349128 355329 370016 375984 376588 377208 378222 382662 383292 392769 406224 407316 416268 422982 424359 437328 438048 440076 441259 450957 457002 465504 473772 483408 485646 491994 502944 504296 510216 511056 513253 522288 523692 543088 552734 555024 562464 563976 564882 565812 567333 573993 586768 601276 609336 610974 624402 631696 647528 655992 659029 660114 680288 698256 710658 728469 751968 753176 754416 756444 765324 766584 785538 812448 814632 829101 832536 845964 847323 848718 874656 880152 882518 901914 914004 916461 936603 947544 966816 971292 983988 990171 1008592 1020432 1022112 1026506 1044576 1047384 1052233 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16434676908 16699752342 17698882824 17728021584 17804233317 18042895962 18378563424 19085431248 19173789726 19911243177 20553541344 20620452528 20675883852 21441657328 21912902544 22206641184 22266336456 22755706488 23598510432 23738977756 24057194616 24121864494 24652015362 25565052968 26548324236 27567845136 28760684589 29688448608 30340941984 31013825778 32076259488 32162485992 32869353816 33399504684 35397765648 35456043168 35608466634 36085791924 36182796741 36978023043 38170862496 38347579452 39822486354 41240905056 41351767704 41543211073 42883314656 43825805088 44532672912 45511412976 47477955512 48114389232 48243728988 49304030724 51130105936 53096648472 53412699951 55135690272 57521369178 62027651556 64324971984 65738707632 66799009368 70795531296 71216933268 72171583848 72365593482 73956046086 76695158904 79644972708 82703535408 83086422146 86282053767 89065345824 91022825952 94955911024 96228778464 96487457976 98608061448 102260211872 106193296944 106825399902 108548390223 115042738356 124055303112 124629633219 128649943968 131477415264 133598018736 142433866536 144343167696 144731186964 147912092172 153390317808 159289945416 160238099853 165407070816 166172844292 172564107534 189911822048 192974915952 197216122896 212386593888 213650799804 217096780446 230085476712 248110606224 249259266438 258846161301 267196037472 284867733072 288686335392 289462373928 295824184344 306780635616 318579890832 320476199706 332345688584 345128215068 373888899657 385949831904 394432245792 427301599608 434193560892 460170953424 480714299559 496221212448 498518532876 517692322602 569735466144 578924747856 591648368688 637159781664 640952399412 664691377168 690256430136 747777799314 854603199216 868387121784 920341906848 961428599118 997037065752 1035384645204 1121666698971 1157849495712 1183296737376 1281904798824 1329382754336 1380512860272 1495555598628 1709206398432 1736774243568 1922857198236 1994074131504 2070769290408 2243333397942 2563809597648 2761025720544 2991111197256 3365000096913 3473548487136 3845714396472 3988148263008 4141538580816 4486666795884 5127619195296 5982222394512 6730000193826 7691428792944 8283077161632 8973333591768 11964444789024 13460000387652 15382857585888 17946667183536 26920000775304 35893334367072 53840001550608 107680003101216
- Sum of all divisors σ(n): 405766647272448
- Sum of proper divisors (its aliquot sum) s(n): 298086644171232
- 107680003101216 is an abundant number, because the sum of its proper divisors (298086644171232) is greater than itself. Its abundance is 190406641070016
Bases of 107680003101216
- Binary: 110000111101111001101000101010110010010001000002
- Hexadecimal: 0x61EF34559220
- Base-36: 1263IDMQ00
Squares and roots of 107680003101216
- 107680003101216 squared (1076800031012162) is 11594983067877887377540678656
- 107680003101216 cubed (1076800031012163) is 1248547812707637922645570659105273298845696
-
The
square root of 107680003101216 is 10376897.5662871413 -
The
cube root of 107680003101216 is 47574.9513804715
Scales and comparisons
How big is 107680003101216?- 107,680,003,101,216 seconds is equal to 3,423,891 years, 1 week, 1 day, 4 hours, 33 minutes, 36 seconds.
-
To count from 1 to 107,680,003,101,216 would take you about eight million, five hundred fifty-nine thousand, seven hundred twenty-seven 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 107680003101216 cubic inches would be around 3964.6 feet tall.
Recreational maths with 107680003101216
- 107680003101216 backwards is 612101300086701
- 107680003101216 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 107680003101216's digits is 36
- More coming soon!
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The information we have on file for 107680003101216 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 107680003101216, math, Factors of 107680003101216, curriculum, school, college, exams, university, Prime factorization of 107680003101216, STEM, science, technology, engineering, physics, economics, calculator, one hundred seven trillion, six hundred eighty billion, three million, one hundred one thousand, two hundred sixteen.