137932264576512
137,932,264,576,512 is an even composite number composed of six prime numbers multiplied together.
What does the number 137932264576512 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1080 divisors.
137932264576512 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 137932264576512:
29 × 32 × 7 × 192 × 1092 × 997
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 19 × 19 × 109 × 109 × 997)See below for interesting mathematical facts about the number 137932264576512 from the Numbermatics database.
Names of 137932264576512
- Cardinal: 137932264576512 can be written as One hundred thirty-seven trillion, nine hundred thirty-two billion, two hundred sixty-four million, five hundred seventy-six thousand, five hundred twelve.
Scientific notation
- Scientific notation: 1.37932264576512 × 1014
Factors of 137932264576512
Divisors of 137932264576512
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 64 72 76 84 96 109 112 114 126 128 133 144 152 168 171 192 218 224 228 252 256 266 288 304 327 336 342 361 384 399 436 448 456 504 512 532 576 608 654 672 684 722 763 768 798 872 896 912 981 997 1008 1064 1083 1152 1197 1216 1308 1344 1368 1444 1526 1536 1596 1744 1792 1824 1962 1994 2016 2071 2128 2166 2289 2304 2394 2432 2527 2616 2688 2736 2888 2991 3052 3192 3249 3488 3584 3648 3924 3988 4032 4142 4256 4332 4578 4608 4788 4864 5054 5232 5376 5472 5776 5982 6104 6213 6384 6498 6867 6976 6979 7296 7581 7848 7976 8064 8284 8512 8664 8973 9156 9576 9728 10108 10464 10752 10944 11552 11881 11964 12208 12426 12768 12996 13734 13952 13958 14497 14592 15162 15696 15952 16128 16568 17024 17328 17946 18312 18639 18943 19152 20216 20928 20937 21888 22743 23104 23762 23928 24416 24852 25536 25992 27468 27904 27916 28994 29184 30324 31392 31904 32256 33136 34048 34656 35643 35892 36624 37278 37886 38304 39349 40432 41856 41874 43491 43776 45486 46208 47524 47856 48832 49704 51072 51984 54936 55808 55832 56829 57988 60648 62784 62811 63808 66272 68096 69312 71286 71784 73248 74556 75772 76608 78698 80864 83167 83712 83748 86982 87552 90972 92416 95048 95712 97664 99408 102144 103968 106929 108673 109872 111664 113658 115976 118047 121296 125568 125622 127616 130473 132544 132601 138624 142572 143568 146496 149112 151544 153216 157396 161728 166334 167424 167496 170487 173964 181944 184832 190096 191424 195328 198816 204288 207936 213858 217346 219744 223328 225739 227316 231952 236094 242592 249501 251136 251244 255232 260946 265088 265202 275443 277248 285144 287136 292992 298224 303088 306432 314792 323456 326019 332668 334992 340974 347928 354141 359917 363888 380192 382848 390656 397632 397803 415872 427716 434692 439488 446656 451478 454632 463904 472188 485184 499002 502272 502488 510464 521892 530176 530404 550886 554496 570288 574272 585984 596448 606176 612864 629584 646912 652038 665336 669984 677217 681948 695856 708282 719834 727776 748503 760384 760711 765696 795264 795606 826329 831744 855432 869384 878976 893312 902956 909264 927808 944376 970368 978057 998004 1004976 1043784 1060352 1060808 1079751 1101772 1140576 1148544 1171968 1192896 1193409 1212352 1259168 1293824 1304076 1330672 1339968 1354434 1363896 1391712 1416564 1439668 1455552 1497006 1520768 1521422 1531392 1580173 1590528 1591212 1652658 1663488 1710864 1738768 1757952 1786624 1805912 1818528 1855616 1888752 1940736 1956114 1996008 2009952 2031651 2064787 2087568 2121616 2159502 2203544 2281152 2282133 2297088 2385792 2386818 2424704 2478987 2518336 2519419 2608152 2661344 2679936 2708868 2727792 2783424 2833128 2879336 2911104 2994012 3041536 3042844 3160346 3181056 3182424 3239253 3305316 3421728 3477536 3515904 3573248 3611824 3637056 3711232 3777504 3881472 3912228 3992016 4019904 4063302 4129574 4175136 4243232 4289041 4319004 4407088 4562304 4564266 4594176 4740519 4771584 4773636 4849408 4957974 5036672 5038838 5216304 5322688 5359872 5417736 5455584 5566848 5666256 5758672 5822208 5988024 6083072 6085688 6194361 6320692 6364848 6478506 6610632 6843456 6846399 6955072 7223648 7274112 7422464 7555008 7558257 7824456 7984032 8039808 8126604 8259148 8350272 8486464 8578082 8638008 8814176 9124608 9128532 9481038 9543168 9547272 9698816 9915948 10073344 10077676 10432608 10645376 10719744 10835472 10911168 11133696 11332512 11517344 11644416 11845357 11976048 12171376 12388722 12641384 12729696 12867123 12957012 13221264 13686912 13692798 13910144 14221557 14447296 14453509 14548224 15110016 15116514 15648912 15968064 16079616 16253208 16518296 16700544 16972928 17156164 17276016 17628352 18249216 18257064 18583083 18962076 19094544 19831896 20146688 20155352 20865216 21290752 21670944 21822336 22267392 22665024 22674771 23034688 23690714 23952096 24342752 24777444 25282768 25459392 25734246 25914024 26442528 27373824 27385596 27820288 28443114 28894592 28907018 29096448 30023287 30220032 30233028 31297824 31936128 32159232 32506416 33036592 33401088 33945856 34312328 34552032 35256704 35536071 36514128 37166166 37924152 38189088 38601369 39230953 39663792 40310704 41730432 42581504 43341888 43360527 43644672 45330048 45349542 46069376 47381428 47904192 48685504 49554888 50565536 50918784 51468492 51828048 52885056 54747648 54771192 55640576 56886228 57789184 57814036 60046574 60440064 60466056 62595648 63872256 65012832 66073184 66802176 67891712 68624656 69104064 70513408 71072142 73028256 74332332 75848304 76378176 77202738 78461906 79327584 80621408 82917499 83460864 86683776 86721054 87289344 90069861 90660096 90699084 92138752 94762856 95808384 97371008 99109776 101131072 101837568 102936984 103656096 105770112 106608213 109542384 113772456 115578368 115628072 117692859 120093148 120932112 125191296 127744512 130025664 130081581 132146368 137249312 138208128 141026816 142144284 146056512 148664664 151696608 152756352 154405476 156923812 158655168 161242816 165834998 166921728 173367552 173442108 180139722 181320192 181398168 184277504 189525712 191616768 194742016 198219552 202262144 203675136 205873968 207312192 211540224 213216426 219084768 225061783 227544912 231256144 235385718 240186296 241864224 248752497 250382592 260051328 260163162 264292736 270209583 274498624 274616671 276416256 284288568 292113024 297329328 303393216 305512704 308810952 313847624 317310336 322485632 331669996 346735104 346884216 353078577 360279444 362796336 379051424 383233536 389484032 396439104 404524288 411747936 414624384 423080448 426432852 438169536 450123566 455089824 462512288 470771436 480372592 483728448 497504994 500765184 520102656 520326324 528585472 540419166 548997248 549233342 552832512 568577136 584226048 594658656 606786432 611025408 617621904 627695248 634620672 644971264 663339992 675185349 693768432 706157154 720558888 725592672 746257491 758102848 792878208 809048576 823495872 823850013 829248768 852865704 876339072 900247132 910179648 925024576 941542872 960745184 967456896 995009988 1040205312 1040652648 1057170944 1080838332 1097994496 1098466684 1137154272 1168452096 1189317312 1213572864 1235243808 1255390496 1269241344 1289942528 1326679984 1350370698 1387536864 1412314308 1441117776 1451185344 1492514982 1516205696 1575432481 1585756416 1646991744 1647700026 1658497536 1705731408 1752678144 1800494264 1820359296 1850049152 1883085744 1921490368 1934913792 1990019976 2025556047 2081305296 2161676664 2195988992 2196933368 2274308544 2378634624 2427145728 2470487616 2471550039 2510780992 2653359968 2700741396 2775073728 2824628616 2882235552 2902370688 2985029964 3032411392 3150864962 3171512832 3293983488 3295400052 3411462816 3505356288 3600988528 3640718592 3700098304 3766171488 3842980736 3869827584 3980039952 4051112094 4162610592 4276173877 4323353328 4393866736 4548617088 4726297443 4757269248 4940975232 4943100078 5021561984 5306719936 5401482792 5550147456 5649257232 5764471104 5804741376 5970059928 6064822784 6301729924 6587966976 6590800104 6822925632 7201977056 7281437184 7400196608 7532342976 7685961472 7960079904 8102224188 8325221184 8552347754 8646706656 8787733472 9097234176 9452594886 9514538496 9881950464 9886200156 10043123968 10613439872 10802965584 11100294912 11298514464 11528942208 11609482752 11940119856 12603459848 12828521631 13181600208 13645851264 14178892329 14403954112 15064685952 15371922944 15920159808 16204448376 16650442368 17104695508 17293413312 17575466944 18194468352 18905189772 19763900928 19772400312 20086247936 21226879744 21605931168 22200589824 22597028928 23057884416 23880239712 25206919696 25657043262 26363200416 27291702528 28357784658 28807908224 29933217139 30129371904 31840319616 32408896752 33300884736 34209391016 34586826624 35150933888 37810379544 38485564893 39544800624 42453759488 43211862336 45194057856 46115768832 47760479424 50413839392 51314086524 52726400832 54583405056 56715569316 57615816448 59866434278 60258743808 63680639232 64817793504 66601769472 68418782032 69173653248 70301867776 75620759088 76971129786 79089601248 86423724672 89799651417 90388115712 95520958848 100827678784 102628173048 105452801664 113431138632 115231632896 119732868556 127361278464 129635587008 136837564064 138347306496 140603735552 151241518176 153942259572 158179202496 172847449344 179599302834 180776231424 191041917696 201655357568 205256346096 210905603328 226862277264 239465737112 259271174016 269398954251 273675128128 302483036352 307884519144 316358404992 345694898688 359198605668 382083835392 403310715136 410512692192 421811206656 453724554528 478931474224 518542348032 538797908502 547350256256 604966072704 615769038288 632716809984 718397211336 806621430272 821025384384 907449109056 957862948448 1037084696064 1077595817004 1094700512512 1209932145408 1231538076576 1265433619968 1436794422672 1642050768768 1814898218112 1915725896896 2155191634008 2189401025024 2419864290816 2463076153152 2873588845344 3284101537536 3629796436224 3831451793792 4310383268016 4926152306304 5747177690688 6568203075072 7259592872448 7662903587584 8620766536032 9852304612608 11494355381376 15325807175168 17241533072064 19704609225216 22988710762752 34483066144128 45977421525504 68966132288256 137932264576512
- Sum of all divisors σ(n): 485087287020336
- Sum of proper divisors (its aliquot sum) s(n): 347155022443824
- 137932264576512 is an abundant number, because the sum of its proper divisors (347155022443824) is greater than itself. Its abundance is 209222757867312
Bases of 137932264576512
- Binary: 111110101110010110110111010001000010110000000002
- Hexadecimal: 0x7D72DBA21600
- Base-36: 1CW57H0U80
Squares and roots of 137932264576512
- 137932264576512 squared (1379322645765122) is 19025309611204907098702086144
- 137932264576512 cubed (1379322645765123) is 2624204038942771898608613604651887103049728
-
The
square root of 137932264576512 is 11744456.7595317919 -
The
cube root of 137932264576512 is 51668.0362387135
Scales and comparisons
How big is 137932264576512?- 137,932,264,576,512 seconds is equal to 4,385,819 years, 18 weeks, 5 days, 9 hours, 55 minutes, 12 seconds.
-
To count from 1 to 137,932,264,576,512 would take you about ten million, nine hundred sixty-four thousand, five hundred forty-eight 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 137932264576512 cubic inches would be around 4305.7 feet tall.
Recreational maths with 137932264576512
- 137932264576512 backwards is 215675462239731
- 137932264576512 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137932264576512's digits is 63
- 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 137932264576512 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 137932264576512 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/137932264576512/
Chicago style:
Numbermatics. 2024. "Number 137932264576512 - Facts about the integer". https://numbermatics.com/n/137932264576512/
The information we have on file for 137932264576512 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 137932264576512, math, Factors of 137932264576512, curriculum, school, college, exams, university, Prime factorization of 137932264576512, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, nine hundred thirty-two billion, two hundred sixty-four million, five hundred seventy-six thousand, five hundred twelve.