135180339832512
135,180,339,832,512 is an even composite number composed of five prime numbers multiplied together.
What does the number 135180339832512 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1344 divisors.
135180339832512 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 135180339832512:
26 × 37 × 133 × 37 × 1092
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 13 × 37 × 109 × 109)See below for interesting mathematical facts about the number 135180339832512 from the Numbermatics database.
Names of 135180339832512
- Cardinal: 135180339832512 can be written as One hundred thirty-five trillion, one hundred eighty billion, three hundred thirty-nine million, eight hundred thirty-two thousand, five hundred twelve.
Scientific notation
- Scientific notation: 1.35180339832512 × 1014
Factors of 135180339832512
Divisors of 135180339832512
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 37 39 48 52 54 64 72 74 78 81 96 104 108 109 111 117 144 148 156 162 169 192 208 216 218 222 234 243 288 296 312 324 327 333 338 351 416 432 436 444 468 481 486 507 576 592 624 648 654 666 676 702 729 832 864 872 888 936 962 972 981 999 1014 1053 1184 1248 1296 1308 1332 1352 1404 1417 1443 1458 1521 1728 1744 1776 1872 1924 1944 1962 1998 2028 2106 2187 2197 2368 2496 2592 2616 2664 2704 2808 2834 2886 2916 2943 2997 3042 3159 3488 3552 3744 3848 3888 3924 3996 4033 4056 4212 4251 4329 4374 4394 4563 5184 5232 5328 5408 5616 5668 5772 5832 5886 5994 6084 6253 6318 6591 6976 7104 7488 7696 7776 7848 7992 8066 8112 8424 8502 8658 8748 8788 8829 8991 9126 9477 10464 10656 10816 11232 11336 11544 11664 11772 11881 11988 12099 12168 12506 12636 12753 12987 13182 13689 15392 15552 15696 15984 16132 16224 16848 17004 17316 17496 17576 17658 17982 18252 18421 18759 18954 19773 20928 21312 22464 22672 23088 23328 23544 23762 23976 24198 24336 25012 25272 25506 25974 26364 26487 26973 27378 28431 30784 31392 31968 32264 32448 33696 34008 34632 34992 35152 35316 35643 35964 36297 36504 36842 37518 37908 38259 38961 39546 41067 45344 46176 46656 47088 47524 47952 48396 48672 50024 50544 51012 51948 52429 52728 52974 53946 54756 55263 56277 56862 59319 62784 63936 64528 67392 68016 69264 69984 70304 70632 71286 71928 72594 73008 73684 75036 75816 76518 77922 79092 79461 80919 81289 82134 90688 92352 94176 95048 95904 96792 97344 100048 101088 102024 103896 104858 105456 105948 106929 107892 108891 109512 110526 112554 113724 114777 116883 118638 123201 129056 136032 138528 139968 140608 141264 142572 143856 145188 146016 147368 150072 151632 153036 154453 155844 157287 158184 158922 161838 162578 164268 165789 168831 177957 188352 190096 191808 193584 200096 202176 204048 207792 209716 210912 211896 213858 215784 217782 219024 221052 225108 227448 229554 233766 237276 238383 239473 243867 246402 258112 272064 277056 282528 285144 287712 290376 292032 294736 300144 303264 306072 308906 311688 314574 316368 317844 320787 323676 325156 326673 328536 331578 337662 344331 350649 355914 369603 380192 387168 400192 408096 415584 419432 421824 423792 427716 431568 435564 438048 439597 442104 450216 454896 459108 463359 467532 471861 474552 476766 478946 487734 492804 497367 506493 533871 565056 570288 575424 580752 589472 600288 606528 612144 617812 623376 629148 632736 635688 641574 647352 650312 653346 657072 663156 675324 681577 688662 701298 711828 718419 731601 739206 760384 774336 816192 831168 838864 847584 855432 863136 871128 876096 879194 884208 900432 909792 918216 926718 935064 943722 949104 953532 957892 962361 975468 980019 985608 994734 1012986 1032993 1051947 1067742 1140576 1161504 1178944 1200576 1224288 1235624 1246752 1258296 1265472 1271376 1283148 1294704 1300624 1306692 1314144 1318791 1326312 1350648 1363154 1377324 1390077 1402596 1415583 1423656 1436838 1463202 1478412 1492101 1519479 1601613 1677728 1695168 1710864 1726272 1742256 1758388 1768416 1800864 1819584 1836432 1853436 1870128 1887444 1898208 1907064 1915784 1924722 1950936 1960038 1971216 1989468 2007889 2025972 2044731 2065986 2103894 2135484 2155257 2194803 2281152 2323008 2448576 2471248 2493504 2516592 2542752 2566296 2589408 2601248 2613384 2628288 2637582 2652624 2701296 2726308 2754648 2780154 2805192 2831166 2847312 2873676 2887083 2926404 2940057 2956824 2984202 3038958 3098979 3203226 3355456 3421728 3484512 3516776 3536832 3601728 3672864 3706872 3740256 3774888 3796416 3814128 3831568 3849444 3901872 3920076 3942432 3956373 3978936 4015778 4051944 4089462 4131972 4170231 4207788 4246749 4270968 4310514 4389606 4476303 4558437 4804839 4942496 5033184 5085504 5132592 5178816 5202496 5226768 5275164 5305248 5402592 5452616 5509296 5560308 5610384 5662332 5694624 5714761 5747352 5774166 5852808 5880114 5913648 5968404 6023667 6077916 6134193 6197958 6406452 6465771 6584409 6843456 6969024 7033552 7345728 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355558086 365744704 379811808 385514688 392588352 400342176 407687904 411462792 413809344 415739952 417640912 421402176 425304048 427288284 429725088 433704024 437609952 441661896 445751358 450384948 458648892 462895641 465535512 469846026 474077448 478467054 487917027 496869633 523727451 548617056 554319936 564490944 567072064 569717712 578272032 588882528 594335144 600513264 611531856 617194188 620714016 626461368 632103264 637956072 640932426 644587632 650556036 662492844 668627037 675577422 698303268 704769039 711116172 717700581 759623616 800684352 815375808 822925584 831479904 835281824 850608096 854576568 859450176 867408048 875219904 883323792 891502716 900769896 917297784 925791282 931071024 939692052 948154896 956934108 961398639 965794609 975834054 993739266 1047454902 1097234112 1139435424 1156544064 1177765056 1188670288 1201026528 1223063712 1234388376 1241428032 1252922736 1264206528 1275912144 1281864852 1289175264 1301112072 1324985688 1337254074 1351154844 1388686923 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6459305229 6836612544 7132021728 7206159168 7338382272 7406330256 7517536416 7655472864 7691189112 7726356872 7806672432 7949914128 8023524444 8332121538 8379639216 8457228468 8612406972 8692151481 8782506486 9875107008 10254918816 10408896576 10599885504 10698032592 10809238752 11109495384 11172852288 11276304624 11377858752 11483209296 11589535308 11710008648 11924871192 12035286666 12498182307 12685842702 12918610458 14264043456 14812660512 15035072832 15310945728 15382378224 15452713744 15613344864 15899828256 16047048888 16664243076 16759278432 16914456936 17224813944 17384302962 17565012972 18052929999 19028764053 19377915687 20509837632 21396065184 21618477504 22218990768 22552609248 22966418592 23179070616 23420017296 23849742384 24070573332 24996364614 25371685404 25837220916 26076454443 29625321024 30764756448 30905427488 31226689728 31799656512 32094097776 33328486152 33518556864 33828913872 34449627888 34768605924 35130025944 36105859998 38057528106 38755831374 42792130368 44437981536 45105218496 45932837184 46358141232 46840034592 47699484768 48141146664 49992729228 50743370808 51674441832 52152908886 54158789997 57086292159 61529512896 61810854976 64188195552 66656972304 67657827744 68899255776 69537211848 70260051888 72211719996 76115056212 77511662748 78229363329 88875963072 92716282464 93680069184 95398969536 96282293328 99985458456 101486741616 103348883664 104305817772 108317579994 114172584318 128376391104 133313944608 135315655488 137798511552 139074423696 140520103776 144423439992 152230112424 155023325496 156458726658 162476369991 185432564928 192564586656 199970916912 202973483232 206697767328 208611635544 216635159988 228345168636 234688089987 266627889216 278148847392 281040207552 288846879984 304460224848 310046650992 312917453316 324952739982 385129173312 399941833824 405946966464 413395534656 417223271088 433270319976 456690337272 469376179974 556297694784 577693759968 608920449696 620093301984 625834906632 649905479964 704064269961 799883667648 834446542176 866540639952 913380674544 938752359948 1155387519936 1217840899392 1240186603968 1251669813264 1299810959928 1408128539922 1668893084352 1733081279904 1826761349088 1877504719896 2112192809883 2503339626528 2599621919856 2816257079844 3466162559808 3653522698176 3755009439792 4224385619766 5006679253056 5199243839712 5632514159688 7510018879584 8448771239532 10398487679424 11265028319376 15020037759168 16897542479064 22530056638752 33795084958128 45060113277504 67590169916256 135180339832512
- Sum of all divisors σ(n): 451745173622400
- Sum of proper divisors (its aliquot sum) s(n): 316564833789888
- 135180339832512 is an abundant number, because the sum of its proper divisors (316564833789888) is greater than itself. Its abundance is 181384493957376
Bases of 135180339832512
- Binary: 111101011110010001000000010001011100110110000002
- Hexadecimal: 0x7AF22022E6C0
- Base-36: 1BX0ZO3000
Squares and roots of 135180339832512
- 135180339832512 squared (1351803398325122) is 18273724277233430456212230144
- 135180339832512 cubed (1351803398325123) is 2470248257802039856691851582774094957641728
-
The
square root of 135180339832512 is 11626708.0393597225 -
The
cube root of 135180339832512 is 51322.1109604889
Scales and comparisons
How big is 135180339832512?- 135,180,339,832,512 seconds is equal to 4,298,316 years, 34 weeks, 4 days, 13 hours, 55 minutes, 12 seconds.
-
To count from 1 to 135,180,339,832,512 would take you about ten million, seven hundred forty-five thousand, seven hundred ninety-one 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 135180339832512 cubic inches would be around 4276.8 feet tall.
Recreational maths with 135180339832512
- 135180339832512 backwards is 215238933081531
- 135180339832512 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135180339832512's digits is 54
- More coming soon!
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"Number 135180339832512 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 135180339832512 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/135180339832512/
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The information we have on file for 135180339832512 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 135180339832512, math, Factors of 135180339832512, curriculum, school, college, exams, university, Prime factorization of 135180339832512, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five trillion, one hundred eighty billion, three hundred thirty-nine million, eight hundred thirty-two thousand, five hundred twelve.