137018182828032
137,018,182,828,032 is an even composite number composed of five prime numbers multiplied together.
What does the number 137018182828032 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 864 divisors.
137018182828032 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 137018182828032:
215 × 32 × 11 × 672 × 972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 67 × 67 × 97 × 97)See below for interesting mathematical facts about the number 137018182828032 from the Numbermatics database.
Names of 137018182828032
- Cardinal: 137018182828032 can be written as One hundred thirty-seven trillion, eighteen billion, one hundred eighty-two million, eight hundred twenty-eight thousand and thirty-two.
Scientific notation
- Scientific notation: 1.37018182828032 × 1014
Factors of 137018182828032
Divisors of 137018182828032
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 67 72 88 96 97 99 128 132 134 144 176 192 194 198 201 256 264 268 288 291 352 384 388 396 402 512 528 536 576 582 603 704 737 768 776 792 804 873 1024 1056 1067 1072 1152 1164 1206 1408 1474 1536 1552 1584 1608 1746 2048 2112 2134 2144 2211 2304 2328 2412 2816 2948 3072 3104 3168 3201 3216 3492 4096 4224 4268 4288 4422 4489 4608 4656 4824 5632 5896 6144 6208 6336 6402 6432 6499 6633 6984 8192 8448 8536 8576 8844 8978 9216 9312 9409 9603 9648 11264 11792 12288 12416 12672 12804 12864 12998 13266 13467 13968 16384 16896 17072 17152 17688 17956 18432 18624 18818 19206 19296 19497 22528 23584 24576 24832 25344 25608 25728 25996 26532 26934 27936 28227 32768 33792 34144 34304 35376 35912 36864 37248 37636 38412 38592 38994 40401 45056 47168 49152 49379 49664 50688 51216 51456 51992 53064 53868 55872 56454 58491 67584 68288 68608 70752 71489 71824 73728 74496 75272 76824 77184 77988 80802 84681 90112 94336 98304 98758 99328 101376 102432 102912 103499 103984 106128 107736 111744 112908 116982 135168 136576 137216 141504 142978 143648 147456 148137 148992 150544 153648 154368 155976 161604 169362 180224 188672 197516 198656 202752 204864 205824 206998 207968 212256 214467 215472 223488 225816 233964 270336 273152 274432 283008 285956 287296 294912 296274 297984 301088 307296 308736 310497 311952 323208 338724 360448 377344 395032 397312 405504 409728 411648 413996 415936 424512 428934 430944 435433 444411 446976 451632 467928 540672 546304 548864 566016 571912 574592 592548 595968 602176 614592 617472 620994 623904 630403 643401 646416 677448 754688 790064 794624 811008 819456 823296 827992 831872 849024 857868 861888 870866 888822 893952 903264 931491 935856 1081344 1092608 1097728 1132032 1143824 1149184 1185096 1191936 1204352 1229184 1234944 1241988 1247808 1260806 1286802 1292832 1306299 1354896 1509376 1580128 1589248 1622016 1638912 1646592 1655984 1663744 1698048 1715736 1723776 1741732 1777644 1787904 1806528 1862982 1871712 1891209 2185216 2195456 2264064 2287648 2298368 2370192 2383872 2408704 2458368 2469888 2483976 2495616 2521612 2573604 2585664 2612598 2709792 3018752 3160256 3178496 3244032 3277824 3293184 3311968 3327488 3396096 3431472 3447552 3483464 3555288 3575808 3613056 3725964 3743424 3782418 3918897 4370432 4528128 4575296 4596736 4740384 4767744 4789763 4817408 4916736 4939776 4967952 4991232 5043224 5147208 5171328 5225196 5419584 5673627 6037504 6320512 6555648 6586368 6623936 6654976 6792192 6862944 6895104 6934433 6966928 7110576 7151616 7226112 7451928 7486848 7564836 7837794 8740864 9056256 9150592 9193472 9480768 9535488 9579526 9634816 9833472 9879552 9935904 9982464 10086448 10294416 10342656 10450392 10839168 11347254 12075008 12641024 13111296 13247872 13309952 13584384 13725888 13790208 13868866 13933856 14221152 14303232 14369289 14452224 14903856 14973696 15129672 15675588 17481728 18112512 18301184 18386944 18961536 19159052 19269632 19666944 19759104 19871808 19964928 20172896 20588832 20685312 20803299 20900784 21678336 22694508 24150016 25282048 26222592 26495744 26619904 27168768 27451776 27580416 27737732 27867712 28442304 28606464 28738578 28904448 29807712 29947392 30259344 31351176 34963456 36225024 36602368 36773888 37923072 38318104 38539264 39333888 39743616 39929856 40345792 41177664 41370624 41606598 41801568 42237001 43107867 43356672 45389016 50564096 52445184 52991488 53239808 54337536 54903552 55160832 55475464 55735424 56884608 57477156 57808896 59615424 59894784 60518688 62409897 62702352 72450048 73204736 73547776 75846144 76636208 77078528 78667776 79487232 79859712 80691584 82355328 82741248 83213196 83603136 84474002 86215734 86713344 90778032 101128192 104890368 105982976 106479616 108675072 109807104 110321664 110950928 111470848 113769216 114954312 115617792 119230848 119789568 121037376 124819794 125404704 126711003 146409472 147095552 151692288 153272416 154157056 157335552 158974464 159719424 161383168 164710656 165482496 166426392 167206272 168948004 172431468 173426688 181556064 202256384 211965952 212959232 217350144 219614208 220643328 221901856 222941696 227538432 229908624 231235584 238461696 239579136 242074752 249639588 250809408 253422006 292818944 303384576 306544832 308314112 314671104 317948928 319438848 322766336 329421312 330964992 332852784 334412544 337896008 344862936 346853376 363112128 380133009 404512768 423931904 439228416 441286656 443803712 445883392 455076864 459817248 462471168 464607011 476923392 479158272 484149504 499279176 501618816 506844012 585637888 606769152 613089664 635897856 638877696 645532672 658842624 661929984 665705568 668825088 675792016 689725872 693706752 726224256 760266018 809025536 847863808 878456832 887607424 891766784 910153728 919634496 924942336 929214022 953846784 958316544 968299008 998558352 1003237632 1013688024 1171275776 1213538304 1226179328 1271795712 1291065344 1317685248 1323859968 1331411136 1337650176 1351584032 1379451744 1387413504 1393821033 1452448512 1520532036 1618051072 1695727616 1756913664 1775214848 1783533568 1820307456 1839268992 1858428044 1907693568 1916633088 1936598016 1997116704 2006475264 2027376048 2342551552 2427076608 2452358656 2543591424 2582130688 2635370496 2662822272 2675300352 2703168064 2758903488 2774827008 2787642066 2904897024 3041064072 3391455232 3513827328 3550429696 3567067136 3640614912 3678537984 3716856088 3815387136 3873196032 3994233408 4012950528 4054752096 4181463099 4854153216 4904717312 5087182848 5164261376 5270740992 5325644544 5350600704 5406336128 5517806976 5575284132 5809794048 6082128144 7027654656 7100859392 7134134272 7281229824 7357075968 7433712176 7630774272 7746392064 7988466816 8025901056 8109504192 8362926198 9809434624 10174365696 10328522752 10541481984 10651289088 10701201408 10812672256 11035613952 11150568264 11619588096 12164256288 14201718784 14268268544 14562459648 14714151936 14867424352 15261548544 15492784128 15976933632 16051802112 16219008384 16725852396 19618869248 20657045504 21082963968 21302578176 21402402816 21625344512 22071227904 22301136528 23239176192 24328512576 28403437568 29428303872 29734848704 30523097088 30985568256 31953867264 32103604224 32438016768 33451704792 39237738496 42605156352 42804805632 43250689024 44142455808 44602273056 46478352384 48657025152 56806875136 58856607744 59469697408 61971136512 63907734528 64207208448 64876033536 66903409584 78475476992 85210312704 86501378048 88284911616 89204546112 92956704768 97314050304 113613750272 117713215488 118939394816 127815469056 128414416896 129752067072 133806819168 156950953984 170420625408 173002756096 176569823232 178409092224 185913409536 194628100608 227227500544 235426430976 237878789632 255630938112 259504134144 267613638336 340841250816 346005512192 353139646464 356818184448 389256201216 470852861952 475757579264 511261876224 519008268288 535227276672 681682501632 692011024384 706279292928 713636368896 778512402432 951515158528 1022523752448 1038016536576 1070454553344 1384022048768 1412558585856 1427272737792 1557024804864 1903030317056 2045047504896 2076033073152 2140909106688 2854545475584 3114049609728 3806060634112 4152066146304 4281818213376 5709090951168 6228099219456 7612121268224 8563636426752 11418181902336 12456198438912 15224242536448 17127272853504 22836363804672 34254545707008 45672727609344 68509091414016 137018182828032
- Sum of all divisors σ(n): 442915036740540
- Sum of proper divisors (its aliquot sum) s(n): 305896853912508
- 137018182828032 is an abundant number, because the sum of its proper divisors (305896853912508) is greater than itself. Its abundance is 168878671084476
Bases of 137018182828032
- Binary: 111110010011110000010000001110110000000000000002
- Hexadecimal: 0x7C9E081D8000
- Base-36: 1CKHA8CN40
Squares and roots of 137018182828032
- 137018182828032 squared (1370181828280322) is 18773982425496003241284993024
- 137018182828032 cubed (1370181828280323) is 2572376956386871028135283643918857711648768
-
The
square root of 137018182828032 is 11705476.6168675079 -
The
cube root of 137018182828032 is 51553.6479099443
Scales and comparisons
How big is 137018182828032?- 137,018,182,828,032 seconds is equal to 4,356,754 years, 20 weeks, 1 day, 13 hours, 7 minutes, 12 seconds.
-
To count from 1 to 137,018,182,828,032 would take you about ten million, eight hundred ninety-one thousand, eight hundred eighty-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 137018182828032 cubic inches would be around 4296.1 feet tall.
Recreational maths with 137018182828032
- 137018182828032 backwards is 230828281810731
- The number of decimal digits it has is: 15
- The sum of 137018182828032's digits is 54
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 137018182828032 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
APA style:
Numbermatics. (2024). Number 137018182828032 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/137018182828032/
Chicago style:
Numbermatics. 2024. "Number 137018182828032 - Facts about the integer". https://numbermatics.com/n/137018182828032/
The information we have on file for 137018182828032 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 137018182828032, math, Factors of 137018182828032, curriculum, school, college, exams, university, Prime factorization of 137018182828032, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, eighteen billion, one hundred eighty-two million, eight hundred twenty-eight thousand and thirty-two.