137965850378048
137,965,850,378,048 is an even composite number composed of five prime numbers multiplied together.
What does the number 137965850378048 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1008 divisors.
137965850378048 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 137965850378048:
26 × 73 × 113 × 412 × 532
(2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 11 × 11 × 11 × 41 × 41 × 53 × 53)See below for interesting mathematical facts about the number 137965850378048 from the Numbermatics database.
Names of 137965850378048
- Cardinal: 137965850378048 can be written as One hundred thirty-seven trillion, nine hundred sixty-five billion, eight hundred fifty million, three hundred seventy-eight thousand and forty-eight.
Scientific notation
- Scientific notation: 1.37965850378048 × 1014
Factors of 137965850378048
Divisors of 137965850378048
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 4 7 8 11 14 16 22 28 32 41 44 49 53 56 64 77 82 88 98 106 112 121 154 164 176 196 212 224 242 287 308 328 343 352 371 392 424 448 451 484 539 574 583 616 656 686 704 742 784 847 848 902 968 1078 1148 1166 1232 1312 1331 1372 1484 1568 1681 1694 1696 1804 1936 2009 2156 2173 2296 2332 2464 2597 2624 2662 2744 2809 2968 3136 3157 3362 3388 3392 3608 3773 3872 4018 4081 4312 4346 4592 4664 4928 4961 5194 5324 5488 5618 5929 5936 6314 6413 6724 6776 7216 7546 7744 8036 8162 8624 8692 9184 9317 9328 9922 10388 10648 10976 11236 11767 11858 11872 12628 12826 13448 13552 14063 14432 15092 15211 16072 16324 17248 17384 18179 18368 18491 18634 18656 19663 19844 20776 21296 21952 22099 22472 23534 23716 23744 23903 25256 25652 26896 27104 28126 28567 28864 30184 30422 30899 32144 32648 34496 34727 34768 36358 36982 37268 37312 39326 39688 41503 41552 42592 44198 44891 44944 47068 47432 47806 50512 51304 53792 54208 54571 56252 57134 60368 60844 61798 64288 65219 65296 69454 69536 70543 72716 73964 74536 78652 79376 82369 83006 83104 85184 88396 89093 89782 89888 94136 94864 95612 101024 102608 106477 107584 109142 112504 114268 115169 120736 121688 123596 128576 129437 130438 130592 137641 138908 139072 141086 145432 147928 149072 154693 157304 158752 164738 166012 166208 167321 176792 178186 179564 179776 188272 189728 191224 199969 202048 203401 205216 212954 216293 218284 225008 228536 230338 241472 243089 243376 247192 258874 260876 261184 262933 275282 277816 282172 290864 295856 298144 309386 314237 314608 317504 329476 332024 334642 339889 353584 356372 359128 376544 379456 381997 382448 399938 406802 410432 425908 432586 436568 450016 456533 457072 460676 486178 486752 493801 494384 517748 521752 525866 550564 555632 564344 576583 581728 591712 596288 618772 623651 628474 629216 658952 664048 669284 679778 707168 712744 718256 745339 753088 763994 764896 799876 806183 813604 851816 865172 873136 900032 906059 913066 914144 921352 963487 972356 973504 980023 987602 988768 1035496 1043504 1051732 1101128 1111264 1128688 1153166 1163456 1171247 1183424 1237544 1247302 1256948 1258432 1266859 1317904 1328096 1338568 1359556 1414336 1423807 1425488 1436512 1490678 1514051 1527988 1529792 1599752 1612366 1627208 1701623 1703632 1730344 1746272 1812118 1826132 1828288 1840531 1842704 1926974 1944712 1960046 1975204 1977536 2070992 2087008 2103464 2199659 2202256 2222528 2237411 2257376 2306332 2342494 2379223 2475088 2494604 2513896 2533718 2635808 2656192 2673979 2677136 2719112 2847614 2850976 2873024 2892263 2981356 3028102 3055976 3199504 3224732 3254416 3403246 3407264 3456607 3460688 3492544 3624236 3652264 3681062 3685408 3738779 3853948 3889424 3920092 3950408 4141984 4174016 4206928 4365557 4399318 4404512 4474822 4514752 4612664 4684988 4721929 4758446 4950176 4989208 5027792 5067436 5271616 5347958 5354272 5438224 5643281 5695228 5701952 5784526 5962712 6056204 6111952 6342413 6399008 6449464 6508832 6806492 6814528 6860161 6913214 6921376 7248472 7304528 7362124 7370816 7477558 7707896 7778848 7840184 7900816 8198729 8283968 8413856 8731114 8798636 8809024 8868013 8949644 9225328 9369976 9443858 9516892 9900352 9966649 9978416 10055584 10134872 10598357 10695916 10708544 10780253 10876448 11286562 11390456 11569052 11925424 12112408 12223904 12684826 12798016 12883717 12898928 13017664 13612984 13720322 13826428 13842752 13935449 14496944 14609056 14724248 14955116 15415792 15557696 15661877 15680368 15801632 16397458 16654561 16827712 17462228 17597272 17736026 17899288 18450656 18717853 18739952 18887716 19033784 19933298 19956832 20111168 20245841 20269744 21196714 21391832 21560506 21752896 22573124 22780912 23138104 23850848 24196249 24224816 24447808 25369652 25767434 25797856 26171453 27225968 27440644 27652856 27870898 28993888 29218112 29448496 29910232 30558899 30831584 31323754 31360736 31603264 32794916 33053503 33309122 34924456 35194544 35472052 35798576 36901312 37435706 37479904 37775432 38067568 39502967 39866596 39913664 40491682 40539488 42393428 42783664 43121012 45146248 45561824 46276208 47701696 48021127 48392498 48449632 50739304 51534868 51595712 51941219 52342906 54451936 54881288 55305712 55741796 57987776 58896992 59820464 61117798 61663168 62076091 62647508 62721472 65589832 66107006 66618244 69766543 69848912 70389088 70944104 71597152 74871412 74959808 75461771 75550864 76135136 79005934 79733192 80983364 81078976 84786856 85567328 86242024 90186019 90292496 91123648 92552416 96042254 96784996 96899264 97548143 101478608 103069736 103882438 104685812 108903872 109633139 109762576 110611424 111483592 116581927 117793984 118582783 119640928 122235596 124152182 125295016 131179664 132214012 133236488 139533086 139697824 140778176 141720887 141888208 143194304 149742824 150923542 151101728 152270272 153289939 158011868 159466384 161966728 169573712 171134656 172484048 180372038 180584992 183200171 185104832 192084508 193569992 195096286 202957216 206139472 207764876 209371624 219266278 219525152 221222848 222967184 231374521 233163854 237165566 239281856 244471192 248304364 250590032 262359328 264428024 266472976 279066172 279395648 283441774 283776416 299485648 301847084 302203456 306579878 316023736 318932768 323933456 336147889 339147424 344968096 360744076 361169984 363588533 366400342 384169016 387139984 390192572 405914432 412278944 415529752 418743248 434532637 438532556 439050304 445934368 462749042 466327708 474331132 488942384 496608728 501180064 524718656 528232397 528856048 532945952 558132344 566883548 567552832 571353409 598971296 603694168 613159756 632047472 637865536 647866912 672295778 678294848 682837001 689936192 721488152 727177066 732800684 767431973 768338032 774279968 780385144 824557888 830079481 831059504 837486496 869065274 877065112 891868736 925498084 932655416 948662264 977884768 992046209 993217456 1002360128 1056464794 1057712096 1065891904 1073029573 1116264688 1133767096 1142706818 1197942592 1207388336 1226319512 1264094944 1282401197 1295733824 1344591556 1365674002 1442976304 1454354132 1465601368 1534863946 1536676064 1548559936 1560770288 1619621647 1660158962 1662119008 1674972992 1738130548 1754130224 1850996168 1865310832 1897324528 1955769536 1984092418 1986434912 2112929588 2115424192 2146059146 2232529376 2267534192 2285413636 2414776672 2452639024 2528189888 2545119731 2564802394 2689183112 2731348004 2885952608 2908708264 2931202736 3069727892 3073352128 3121540576 3239243294 3320317924 3324238016 3476261096 3508260448 3697626779 3701992336 3730621664 3794649056 3968184836 3972869824 3999473863 4225859176 4292118292 4465058752 4535068384 4570827272 4779859007 4829553344 4905278048 5090239462 5129604788 5378366224 5462696008 5771905216 5810556367 5817416528 5862405472 6139455784 6243081152 6284887499 6478486588 6640635848 6952522192 7016520896 7395253558 7403984672 7461243328 7511207011 7589298112 7936369672 7998947726 8451718352 8584236584 9070136768 9141654544 9559718014 9810556096 10180478924 10259209576 10756732448 10925392016 11621112734 11634833056 11724810944 12278911568 12569774998 12956973176 13281271696 13905044384 14790507116 14807969344 15022414022 15872739344 15997895452 16903436704 17168473168 17815838117 18283309088 19119436028 20360957848 20518419152 21513464896 21850784032 23242225468 23269666112 24557823136 25139549996 25913946352 26562543392 27810088768 27996317041 29581014232 30044828044 31745478688 31995790904 33806873408 34336946336 35631676234 36566618176 38238872056 40673894569 40721915696 41036838304 43701568064 43994212493 46484450936 49115646272 50279099992 51827892704 52578449077 53125086784 55992634082 59162028464 60089656088 63490957376 63991581808 68673892672 71263352468 76477744112 81347789138 81443831392 82073676608 87988424986 92968901872 100558199984 103655785408 105156898154 111985268164 118324056928 120179312176 127983163616 142526704936 152955488224 162695578276 162887662784 175976849972 185937803744 195974219287 201116399968 210313796308 223970536328 236648113856 240358624352 255966327232 285053409872 305910976448 307959487451 325391156552 351953699944 371875607488 391948438574 402232799936 420627592616 447941072656 480717248704 570106819744 615918974902 650782313104 703907399888 783896877148 841255185232 895882145312 1140213639488 1231837949804 1301564626208 1407814799776 1567793754296 1682510370464 1791764290624 2155716412157 2463675899608 2603129252416 2815629599552 3135587508592 3365020740928 4311432824314 4927351799216 6271175017184 8622865648628 9854703598432 12542350034368 17245731297256 19709407196864 34491462594512 68982925189024 137965850378048
- Sum of all divisors σ(n): 366869336668800
- Sum of proper divisors (its aliquot sum) s(n): 228903486290752
- 137965850378048 is an abundant number, because the sum of its proper divisors (228903486290752) is greater than itself. Its abundance is 90937635912704
Bases of 137965850378048
- Binary: 111110101111010101011011000000010111111010000002
- Hexadecimal: 0x7D7AAD80BF40
- Base-36: 1CWKMX54JK
Squares and roots of 137965850378048
- 137965850378048 squared (1379658503780482) is 19034575870537927464520290304
- 137965850378048 cubed (1379658503780483) is 2626121446564238458586009096145085108846592
-
The
square root of 137965850378048 is 11745886.5301026979 -
The
cube root of 137965850378048 is 51672.2295326435
Scales and comparisons
How big is 137965850378048?- 137,965,850,378,048 seconds is equal to 4,386,887 years, 14 weeks, 5 days, 23 hours, 14 minutes, 8 seconds.
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To count from 1 to 137,965,850,378,048 would take you about ten million, nine hundred sixty-seven thousand, two hundred eighteen 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 137965850378048 cubic inches would be around 4306 feet tall.
Recreational maths with 137965850378048
- 137965850378048 backwards is 840873058569731
- The number of decimal digits it has is: 15
- The sum of 137965850378048's digits is 74
- More coming soon!
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The information we have on file for 137965850378048 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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