135013971881600
135,013,971,881,600 is an even composite number composed of seven prime numbers multiplied together.
135013971881600 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 135013971881600:
27 × 52 × 7 × 43 × 127 × 919 × 1201
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 43 × 127 × 919 × 1201)See below for interesting mathematical facts about the number 135013971881600 from the Numbermatics database.
Names of 135013971881600
- Cardinal: 135013971881600 can be written as One hundred thirty-five trillion, thirteen billion, nine hundred seventy-one million, eight hundred eighty-one thousand, six hundred.
Scientific notation
- Scientific notation: 1.350139718816 × 1014
Factors of 135013971881600
Divisors of 135013971881600
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 43 50 56 64 70 80 86 100 112 127 128 140 160 172 175 200 215 224 254 280 301 320 344 350 400 430 448 508 560 602 635 640 688 700 800 860 889 896 919 1016 1075 1120 1201 1204 1270 1376 1400 1505 1600 1720 1778 1838 2032 2150 2240 2402 2408 2540 2752 2800 3010 3175 3200 3440 3556 3676 4064 4300 4445 4480 4595 4804 4816 5080 5461 5504 5600 6005 6020 6350 6433 6880 7112 7352 7525 8128 8407 8600 8890 9190 9608 9632 10160 10922 11200 12010 12040 12700 12866 13760 14224 14704 15050 16256 16814 17200 17780 18380 19216 19264 20320 21844 22225 22400 22975 24020 24080 25400 25732 27305 27520 28448 29408 30025 30100 32165 33628 34400 35560 36760 38227 38432 38528 39517 40640 42035 43688 44450 45950 48040 48160 50800 51464 51643 54610 56896 58816 60050 60200 64330 67256 68800 71120 73520 76454 76864 79034 81280 84070 87376 88900 91900 96080 96320 101600 102928 103286 109220 113792 116713 117632 120100 120400 128660 134512 136525 137600 142240 147040 152527 152908 153728 158068 160825 168140 174752 177800 183800 191135 192160 192640 197585 203200 205856 206572 210175 218440 233426 240200 240800 257320 258215 269024 273050 276619 284480 294080 305054 305816 316136 321650 336280 349504 355600 361501 367600 382270 384320 395170 406400 411712 413144 420350 436880 466852 480400 481600 514640 516430 538048 546100 553238 568960 583565 588160 610108 611632 632272 643300 672560 699008 711200 723002 735200 762635 764540 768640 790340 816991 823424 826288 840700 873760 933704 955675 960800 963200 987925 1029280 1032860 1067689 1076096 1092200 1103719 1106476 1167130 1220216 1223264 1264544 1286600 1291075 1345120 1383095 1422400 1446004 1470400 1525270 1529080 1580680 1633982 1652576 1681400 1747520 1807505 1867408 1911350 1921600 1975850 2058560 2065720 2135378 2184400 2207438 2212952 2334260 2440432 2446528 2529088 2573200 2582150 2690240 2766190 2844800 2892008 2917825 2940800 3050540 3058160 3161360 3267964 3305152 3362800 3495040 3615010 3734816 3813175 3822700 3843200 3951700 4084955 4117120 4131440 4270756 4368800 4414876 4425904 4668520 4880864 4893056 5018659 5058176 5146400 5164300 5338445 5380480 5518595 5532380 5784016 5835650 6101080 6116320 6322720 6535928 6558661 6610304 6725600 6915475 7230020 7469632 7626350 7645400 7726033 7903400 8169910 8262880 8541512 8737600 8829752 8851808 9037525 9337040 9761728 10037318 10292800 10328600 10676890 11037190 11064760 11568032 11671300 12202160 12232640 12645440 13071856 13117322 13451200 13830950 14460040 14939264 15252700 15290800 15452066 15806800 16339820 16525760 17083024 17475200 17659504 17703616 18075050 18674080 19523456 20074636 20424775 20585600 20657200 21353780 22074380 22129520 23136064 23342600 24404320 24465280 25093295 25290880 26143712 26234644 26692225 26902400 27592975 27661900 28920080 30505400 30581600 30904132 31613600 32679640 32793305 33051520 34166048 35130613 35319008 35407232 36150100 37348160 38630165 40149272 40849550 41314400 42707560 44148760 44259040 45910627 46272128 46685200 47459917 48808640 50186590 52287424 52469288 53384450 55185950 55323800 57840160 61010800 61163200 61808264 63227200 65359280 65586610 68332096 70261226 70638016 72300200 74696320 77260330 80298544 81699100 82628800 85415120 88297520 88518080 91821254 93370400 94919834 97617280 100373180 104574848 104938576 106768900 110371900 110647600 115680320 122021600 122326400 123616528 125466475 126454400 130718560 131173220 136664192 140172313 140522452 141276032 144600400 154520660 160597088 163398200 163966525 165257600 170830240 175653065 176595040 177036160 183642508 186740800 189839668 193150825 200746360 209877152 213537800 220743800 221295200 229553135 231360640 237299585 244043200 247233056 250932950 261437120 262346440 280344626 281044904 289200800 309041320 321194176 326796400 327933050 332219419 341660480 351306130 353190080 367285016 373481600 379679336 386301650 401492720 419754304 427075600 441487600 442590400 459106270 474599170 488086400 494466112 501865900 522874240 524692880 560689252 562089808 578401600 618082640 642388352 653592800 655866100 664438838 683320960 700861565 702612260 706380160 734570032 759358672 772603300 802985440 839508608 854151200 878265325 882975200 885180800 918212540 949198340 981206191 988932224 1003731800 1049385760 1121378504 1124179616 1147765675 1156803200 1186497925 1236165280 1307185600 1311732200 1328877676 1401723130 1405224520 1469140064 1518717344 1545206600 1605970880 1661097095 1708302400 1756530650 1765950400 1836425080 1898396680 1962412382 2007463600 2098771520 2242757008 2248359232 2295531350 2372995850 2472330560 2614371200 2623464400 2657755352 2803446260 2810449040 2938280128 3037434688 3090413200 3211941760 3322194190 3416604800 3504307825 3513061300 3531900800 3672850160 3796793360 3924824764 4014927200 4197543040 4485514016 4496718464 4591062700 4745991700 4906030955 4944661120 5246928800 5315510704 5606892520 5620898080 5876560256 6027409459 6074869376 6180826400 6644388380 7008615650 7026122600 7345700320 7593586720 7849649528 8029854400 8305485475 8971028032 9182125400 9491983400 9812061910 10493857600 10631021408 11213785040 11241796160 12054818918 12361652800 13288776760 14017231300 14052245200 14691400640 15187173440 15699299056 16059708800 16610970950 17942056064 18364250800 18983966800 19624123820 20987715200 21262042816 22427570080 22483592320 24109637836 24530154775 24723305600 26577553520 28034462600 28104490400 29382801280 30137047295 30374346880 31398598112 33221941900 36728501600 37967933600 39248247640 42191866213 42524085632 44855140160 48219275672 49060309550 53155107040 56068925200 56208980800 60274094590 62797196224 66443883800 73457003200 75935867200 78496495280 84383732426 89710280320 96438551344 98120619100 106310214080 112137850400 112417961600 120548189180 125594392448 132887767600 146914006400 150685236475 151871734400 156992990560 168767464852 192877102688 196241238200 210959331065 212620428160 224275700800 241096378360 265775535200 301370472950 313985981120 337534929704 385754205376 392482476400 421918662130 448551401600 482192756720 531551070400 602740945900 627971962240 675069859408 771508410752 784964952800 843837324260 964385513440 1054796655325 1063102140800 1205481891800 1350139718816 1569929905600 1687674648520 1928771026880 2109593310650 2410963783600 2700279437632 3139859811200 3375349297040 3857542053760 4219186621300 4821927567200 5400558875264 6750698594080 8438373242600 9643855134400 13501397188160 16876746485200 19287710268800 27002794376320 33753492970400 67506985940800 135013971881600
- Sum of all divisors σ(n): 393864467251200
- Sum of proper divisors (its aliquot sum) s(n): 258850495369600
- 135013971881600 is an abundant number, because the sum of its proper divisors (258850495369600) is greater than itself. Its abundance is 123836523488000
Bases of 135013971881600
- Binary: 111101011001011011000111101010101101110100000002
- Hexadecimal: 0x7ACB63D56E80
- Base-36: 1BUWK8WFI8
Squares and roots of 135013971881600
- 135013971881600 squared (1350139718816002) is 18228772603245475444418560000
- 135013971881600 cubed (1350139718816003) is 2461138991690665054555150723501162496000000
-
The
square root of 135013971881600 is 11619551.2771190953 -
The
cube root of 135013971881600 is 51301.0480860261
Scales and comparisons
How big is 135013971881600?- 135,013,971,881,600 seconds is equal to 4,293,026 years, 35 weeks, 2 days, 14 hours, 13 minutes, 20 seconds.
-
To count from 1 to 135,013,971,881,600 would take you about ten million, seven hundred thirty-two thousand, five hundred sixty-six 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 135013971881600 cubic inches would be around 4275.1 feet tall.
Recreational maths with 135013971881600
- 135013971881600 backwards is 006188179310531
- The number of decimal digits it has is: 15
- The sum of 135013971881600's digits is 53
- More coming soon!
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