107132377041144
107,132,377,041,144 is an even composite number composed of eight prime numbers multiplied together.
What does the number 107132377041144 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1728 divisors.
107132377041144 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 107132377041144:
23 × 32 × 72 × 132 × 17 × 89 × 103 × 1153
(2 × 2 × 2 × 3 × 3 × 7 × 7 × 13 × 13 × 17 × 89 × 103 × 1153)See below for interesting mathematical facts about the number 107132377041144 from the Numbermatics database.
Names of 107132377041144
- Cardinal: 107132377041144 can be written as One hundred seven trillion, one hundred thirty-two billion, three hundred seventy-seven million, forty-one thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.07132377041144 × 1014
Factors of 107132377041144
Divisors of 107132377041144
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 17 18 21 24 26 28 34 36 39 42 49 51 52 56 63 68 72 78 84 89 91 98 102 103 104 117 119 126 136 147 153 156 168 169 178 182 196 204 206 221 234 238 252 267 273 294 306 309 312 338 356 357 364 392 408 412 441 442 468 476 504 507 534 546 588 612 618 623 637 663 676 712 714 721 728 801 819 824 833 882 884 927 936 952 1014 1068 1071 1092 1153 1157 1176 1183 1224 1236 1246 1274 1326 1339 1352 1428 1442 1513 1521 1547 1602 1638 1666 1751 1764 1768 1854 1869 1911 1989 2028 2136 2142 2163 2184 2306 2314 2366 2472 2492 2499 2548 2652 2678 2856 2873 2884 3026 3042 3094 3204 3276 3332 3459 3471 3502 3528 3549 3708 3738 3822 3978 4017 4056 4284 4326 4361 4539 4612 4628 4641 4732 4984 4998 5047 5096 5253 5304 5356 5607 5733 5746 5768 6052 6084 6188 6408 6489 6552 6664 6918 6942 7004 7098 7416 7476 7497 7644 7956 8034 8071 8099 8281 8568 8619 8652 8722 9078 9167 9224 9256 9282 9373 9464 9996 10094 10377 10413 10506 10591 10647 10712 10829 11214 11466 11492 12051 12104 12168 12257 12376 12978 13083 13617 13836 13884 13923 14008 14196 14952 14989 14994 15041 15141 15288 15759 15912 16068 16142 16198 16562 17238 17304 17407 17444 18156 18334 18564 18746 19601 19669 19992 20111 20188 20754 20826 21012 21182 21294 21658 22428 22763 22932 22984 24102 24213 24297 24514 24843 25857 25956 26166 27234 27501 27672 27768 27846 28119 28392 29978 29988 30082 30282 31518 31773 32136 32284 32396 32487 33124 34476 34814 34888 36312 36668 36771 37128 37492 39202 39249 39338 40222 40376 41508 41652 42024 42364 42588 43316 44856 44967 45123 45423 45526 45864 48204 48426 48594 49028 49686 51714 51912 52221 52332 54468 55002 55692 56238 56497 56693 58803 59007 59956 59976 60164 60333 60564 63036 63546 64169 64568 64792 64974 65611 66248 68289 68952 69628 72639 72891 73336 73542 74137 74529 74984 78404 78498 78676 80444 82503 83016 83304 84357 84728 85176 85799 86632 89934 90246 90846 91052 95319 96408 96852 97188 97461 98056 99372 102617 103428 104442 104664 104923 105287 108936 110004 110313 111384 112476 112994 113386 117606 118014 118759 119171 119912 120328 120666 121128 121849 126072 127092 128338 129948 131222 134901 135369 136578 137207 137683 139256 140777 145278 145782 147084 148274 149058 155839 156663 156808 156996 157352 159341 160888 165006 168714 169491 170079 171598 176409 177021 179868 180492 180999 181692 182104 190638 192507 193704 194376 194857 194922 196833 198744 204867 205234 206856 208884 209846 210574 220008 220626 222411 224952 225988 226772 235212 236028 237518 238342 241332 243698 254184 254813 255697 256676 257397 259896 262444 269802 270738 273156 274414 275366 281554 290556 291564 294168 295919 296548 298116 307851 311678 313326 313992 314769 315861 318682 330012 337428 338982 340158 343196 352818 354042 356277 357513 359736 360984 361998 363384 365547 381276 385014 389714 389844 393666 409734 410468 411621 413049 417768 419692 421148 422331 441252 444822 449183 451976 453544 467517 470424 472056 475036 476684 478023 482664 487396 508473 509626 510237 511394 513352 514794 524888 539604 541476 546312 548828 550732 563108 577521 581112 583128 584571 590499 591838 593096 596232 615702 623356 626652 629538 631722 637364 660024 667233 674856 677964 680316 686392 705636 708084 712554 715026 718319 723996 731094 734461 737009 762552 764439 767091 770028 772191 779428 779688 787332 819468 820936 823242 826098 831313 834197 839384 842296 844662 852943 882504 887757 889644 898366 923553 935034 944307 947583 950072 953368 956046 960449 963781 974792 1016946 1019252 1020474 1022788 1029588 1068831 1072539 1079208 1082952 1090873 1096641 1097656 1101464 1115387 1126216 1155042 1169142 1180998 1183676 1231404 1234863 1239147 1246712 1253304 1259076 1263444 1266993 1274728 1334021 1334466 1347549 1355928 1360632 1363999 1402551 1411272 1416168 1425108 1430052 1434069 1436638 1447992 1462188 1468922 1474018 1528878 1534182 1540056 1543867 1544382 1549223 1558856 1574664 1638936 1646484 1652196 1662626 1668394 1689324 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303647708 312160914 314948868 316041492 317496998 324631762 336173292 339175704 340352376 341194607 341919844 343727748 348000744 359364734 361264878 362032776 364187733 367440346 368715074 380503836 389054484 390404196 392202174 395704988 397077772 408210426 412212489 416214552 417383694 418981752 420435288 421475691 439611228 443921142 449490132 451049508 453896898 455471562 472423302 474062238 476245497 481686504 485583644 486947643 508763556 510528564 512879766 517907999 522001116 522936232 539047101 544280568 549616652 549799992 551160519 553072611 556511592 561967588 588303261 589637282 591894856 593557482 595616658 605195864 607295416 624321828 629897736 632082984 634993996 649263524 665881713 672346584 680845347 682389214 683207343 683839688 687455496 718729468 722529756 728375466 734880692 737430148 761007672 769319649 778108968 780808392 784404348 791409976 794155544 816420852 824424978 834767388 842951382 849771377 879222456 884455923 887842284 890336223 893424987 898980264 902099016 907793796 910943124 944846604 948124476 952490994 961829141 971167288 973895286 983443279 1017527112 1021057128 1023583821 1025759532 1035815998 1044002232 1078094202 1092563199 1099233304 1102321038 1106145222 1111239493 1123935176 1176606522 1179274564 1187114964 1191233316 1236637467 1248643656 1257776569 1264427073 1269987992 1286041211 1290502759 1298527048 1331763426 1361690694 1364778428 1366414686 1428736491 1437458936 1445059512 1456750932 1460842929 1469761384 1474860296 1538639298 1553723997 1568808696 1617141303 1632841704 1648849956 1653481557 1659217833 1669534776 1685902764 1699542754 1768911846 1775684568 1780672446 1786254119 1786849974 1815587592 1821886248 1889693208 1896248952 1904981988 1923658282 1947790572 1966886558 2047167642 2051519064 2063730487 2071631996 2156188404 2185126398 2204642076 2212290444 2222478986 2335870771 2353213044 2358549128 2374229928 2382466632 2388362249 2473274934 2515553138 2528854146 2549314131 2572082422 2581005518 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10001155437 10062212552 10115416584 10197256524 10288329688 10324022072 10613471076 10717524714 11319989121 11429891928 11541949692 11574370899 11614524831 11686743432 11801319348 12283005852 12382382922 12429791976 12503778833 12937130424 13227852456 13273742664 13334873916 13465607974 14015224626 14290032952 14330173494 14446113409 15093318828 15295884786 15432494532 15486033108 16076287071 16351095397 16509843896 16718535743 17312924538 17608871966 17701979022 18573574383 18644687964 18686966168 19106897992 20002310874 20198411961 20394513048 21022836939 21226942152 21435049428 21495260241 22639978242 23083899384 23148741798 23229049662 23602638696 24566011704 24764765844 25007557666 26413307949 26669747832 26931215948 28030449252 28660346988 28892226818 30186637656 30366320023 30591769572 30864989064 30972066216 32152574142 32702190794 33437071486 34625849076 35217743932 35403958044 37147148766 37289375928 37511336499 40004621748 40396823922 42045673878 42870098856 42990520482 43338340227 45279956484 46297483596 46458099324 49053286191 49529531688 50015115332 50155607229 52826615898 53862431896 56060898504 57320693976 57784453636 60595235883 60732640046 61183539144 64305148284 65404381588 66874142972 69251698152 70435487864 70807916088 74294297532 75022672998 79239923847 80009243496 80793647844 84091347756 85981040964 86676680454 87526451831 90559912968 91098960069 92594967192 92916198648 98106572382 100030230664 100311214458 105653231796 112534009497 114457667779 115568907272 121190471766 121465280092 128610296568 130015020681 130808763176 133748285944 147159858573 148588595064 150045345996 150466821687 158479847694 161587295688 168182695512 171962081928 173353360908 175052903662 182197920138 196213144764 200622428916 211306463592 212564240161 225068018994 228915335558 242380943532 242930560184 260030041362 262579355493 273296880207 294319717146 300090691992 300933643374 316959695388 343373003337 346706721816 350105807324 364395840276 392426289528 401244857832 425128480322 450136037988 457830671116 484761887064 520060082724 525158710986 546593760414 588639434292 601867286748 633919390776 637692720483 686746006674 700211614648 728791680552 787738066479 850256960644 900272075976 915661342232 1030119010011 1040120165448 1050317421972 1093187520828 1177278868584 1203734573496 1275385440966 1373492013348 1487949681127 1575476132958 1700513921288 1913078161449 2060238020022 2100634843944 2186375041656 2550770881932 2746984026696 2975899362254 3150952265916 3826156322898 4120476040044 4463849043381 5101541763864 5951798724508 6301904531832 7652312645796 8240952080088 8927698086762 11903597449016 13391547130143 15304625291592 17855396173524 26783094260286 35710792347048 53566188520572 107132377041144
- Sum of all divisors σ(n): 395471070446400
- Sum of proper divisors (its aliquot sum) s(n): 288338693405256
- 107132377041144 is an abundant number, because the sum of its proper divisors (288338693405256) is greater than itself. Its abundance is 181206316364112
Bases of 107132377041144
- Binary: 110000101101111101100110100011100001000111110002
- Hexadecimal: 0x616FB34708F8
- Base-36: 11Z3XN7PQ0
Squares and roots of 107132377041144
- 107132377041144 squared (1071323770411442) is 11477346210485838040268828736
- 107132377041144 cubed (1071323770411443) is 1229595381653514086575250661822406161513984
-
The
square root of 107132377041144 is 10350477.1407478603 -
The
cube root of 107132377041144 is 47494.1639428041
Scales and comparisons
How big is 107132377041144?- 107,132,377,041,144 seconds is equal to 3,406,478 years, 10 weeks, 5 days, 14 hours, 32 minutes, 24 seconds.
-
To count from 1 to 107,132,377,041,144 would take you about eight million, five hundred sixteen thousand, one hundred ninety-five 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 107132377041144 cubic inches would be around 3957.8 feet tall.
Recreational maths with 107132377041144
- 107132377041144 backwards is 441140773231701
- The number of decimal digits it has is: 15
- The sum of 107132377041144's digits is 45
- More coming soon!
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"Number 107132377041144 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 107132377041144 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/107132377041144/
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The information we have on file for 107132377041144 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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