137205742291968
137,205,742,291,968 is an even composite number composed of five prime numbers multiplied together.
137205742291968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred ninety divisors.
Prime factorization of 137205742291968:
210 × 3 × 74 × 192 × 2272
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 7 × 19 × 19 × 227 × 227)See below for interesting mathematical facts about the number 137205742291968 from the Numbermatics database.
Names of 137205742291968
- Cardinal: 137205742291968 can be written as One hundred thirty-seven trillion, two hundred five billion, seven hundred forty-two million, two hundred ninety-one thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37205742291968 × 1014
Factors of 137205742291968
Divisors of 137205742291968
- Number of divisors d(n): 990
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 49 56 57 64 76 84 96 98 112 114 128 133 147 152 168 192 196 224 227 228 256 266 294 304 336 343 361 384 392 399 448 454 456 512 532 588 608 672 681 686 722 768 784 798 896 908 912 931 1024 1029 1064 1083 1176 1216 1344 1362 1372 1444 1536 1568 1589 1596 1792 1816 1824 1862 2058 2128 2166 2352 2401 2432 2527 2688 2724 2744 2793 2888 3072 3136 3178 3192 3584 3632 3648 3724 4116 4256 4313 4332 4704 4767 4802 4864 5054 5376 5448 5488 5586 5776 6272 6356 6384 6517 7168 7203 7264 7296 7448 7581 8232 8512 8626 8664 9408 9534 9604 9728 10108 10752 10896 10976 11123 11172 11552 12544 12712 12768 12939 13034 14406 14528 14592 14896 15162 16464 17024 17252 17328 17689 18816 19068 19208 19456 19551 20216 21504 21792 21952 22246 22344 23104 25088 25424 25536 25878 26068 28812 29056 29184 29792 30191 30324 32928 33369 34048 34504 34656 35378 37632 38136 38416 39102 40432 43584 43904 44492 44688 45619 46208 50176 50848 51072 51529 51756 52136 53067 57624 58112 58368 59584 60382 60648 65856 66738 68096 69008 69312 70756 75264 76272 76832 77861 78204 80864 81947 87168 87808 88984 89376 90573 91238 92416 101696 102144 103058 103512 104272 106134 115248 116224 119168 120764 121296 123823 131712 133476 136192 136857 138016 138624 141512 150528 152544 153664 154587 155722 156408 161728 163894 174336 175616 177968 178752 181146 182476 184832 203392 204288 206116 207024 208544 211337 212268 230496 232448 233583 238336 241528 242592 245841 247646 263424 266952 273714 276032 277248 283024 305088 307328 309174 311444 312816 323456 327788 348672 351232 355936 357504 360703 362292 364952 369664 371469 406784 408576 412232 414048 417088 422674 424536 460992 467166 476672 483056 485184 491682 495292 526848 533904 545027 547428 552064 554496 566048 573629 610176 614656 618348 622888 625632 634011 646912 655576 697344 711872 715008 721406 724584 729904 742938 813568 824464 828096 834176 845348 849072 866761 921984 934332 953344 966112 970368 979051 983364 990584 1053696 1067808 1082109 1090054 1094856 1104128 1108992 1132096 1147258 1220352 1229312 1236696 1245776 1251264 1268022 1293824 1311152 1423744 1430016 1442812 1449168 1459808 1479359 1485876 1627136 1635081 1648928 1656192 1668352 1690696 1698144 1720887 1733522 1843968 1868664 1932224 1940736 1958102 1966728 1981168 2135616 2164218 2180108 2189712 2208256 2264192 2294516 2440704 2458624 2473392 2491552 2502528 2524921 2536044 2587648 2600283 2622304 2847488 2860032 2885624 2898336 2919616 2937153 2958718 2971752 3270162 3297856 3312384 3336704 3381392 3396288 3441774 3467044 3687936 3737328 3864448 3881472 3916204 3933456 3962336 4015403 4271232 4328436 4360216 4379424 4416512 4438077 4528384 4589032 4881408 4946784 4983104 5005056 5049842 5072088 5200566 5244608 5694976 5771248 5796672 5839232 5874306 5917436 5943504 6540324 6595712 6624768 6673408 6762784 6792576 6853357 6883548 6934088 7375872 7474656 7574763 7728896 7762944 7832408 7866912 7924672 8030806 8542464 8656872 8720432 8758848 8876154 9056768 9178064 9893568 9966208 10010112 10099684 10144176 10355513 10401132 10489216 11389952 11542496 11593344 11678464 11748612 11834872 11887008 12046209 13080648 13191424 13249536 13525568 13585152 13706714 13767096 13868176 14949312 15149526 15457792 15664816 15733824 15849344 16061612 17084928 17313744 17440864 17517696 17674447 17752308 18113536 18356128 18601969 19787136 19932416 20020224 20199368 20288352 20560071 20711026 20802264 20978432 23084992 23186688 23356928 23497224 23669744 23774016 24092418 26161296 26382848 27051136 27170304 27413428 27534192 27736352 28107821 29898624 30299052 30915584 31066539 31329632 31467648 31698688 32123224 34169856 34627488 34881728 35035392 35348894 35504616 36712256 37203938 39574272 39864832 40398736 40576704 41120142 41422052 41604528 41956864 46169984 46373376 46713856 46994448 47339488 47548032 47973499 48184836 52322592 52765696 53023341 54102272 54340608 54826856 55068384 55472704 55805907 56215642 59797248 60598104 62133078 62659264 62935296 63397376 64246448 69254976 69763456 70070784 70697788 71009232 73424512 74407876 79148544 79729664 80797472 81153408 82240284 82844104 83209056 83913728 84323463 92339968 92746752 93988896 94678976 95096064 95946998 96369672 104645184 106046682 108204544 109653712 110136768 110945408 111611814 112431284 119594496 121196208 123721129 124266156 125318528 125870592 126794752 128492896 130213783 138509952 139526912 140141568 141395576 142018464 143920497 146849024 148815752 158297088 161594944 162306816 164480568 165688208 166418112 168646926 184679936 187977792 189357952 190192128 191893996 192739344 196754747 209290368 212093364 216409088 219307424 220273536 221890816 223223628 224862568 239188992 242392416 247442258 248532312 250637056 251741184 256985792 260427566 277019904 279053824 282791152 284036928 287840994 293698048 297631504 323189888 324613632 328961136 331376416 332836224 335814493 337293852 369359872 371163387 375955584 378715904 380384256 383787992 385478688 390641349 393509494 418580736 424186728 438614848 440547072 443781632 446447256 449725136 484784832 494884516 497064624 501274112 513971584 520855132 554039808 558107648 565582304 568073856 575681988 587396096 590264241 595263008 646379776 649227264 657922272 662752832 665672448 671628986 674587704 742326774 751911168 757431808 767575984 770957376 781282698 787018988 837161472 848373456 877229696 881094144 887563264 892894512 899450272 911496481 969569664 989769032 994129248 1002548224 1007443479 1027943168 1041710264 1108079616 1131164608 1136147712 1151363976 1180528482 1190526016 1292759552 1315844544 1325505664 1331344896 1343257972 1349175408 1484653548 1503822336 1514863616 1535151968 1541914752 1562565396 1574037976 1674322944 1696746912 1754459392 1762188288 1785789024 1798900544 1822992962 1939139328 1979538064 1988258496 2014886958 2055886336 2083420528 2262329216 2272295424 2302727952 2350701451 2361056964 2381052032 2585519104 2631689088 2651011328 2662689792 2686515944 2698350816 2734489443 2969307096 3007644672 3070303936 3083829504 3125130792 3148075952 3393493824 3508918784 3571578048 3597801088 3645985924 3878278656 3959076128 3976516992 4029773916 4111772672 4166841056 4524658432 4544590848 4605455904 4701402902 4722113928 4762104064 5263378176 5302022656 5373031888 5396701632 5468978886 5938614192 6140607872 6167659008 6250261584 6296151904 6380475367 6786987648 7017837568 7052104353 7143156096 7195602176 7291971848 7756557312 7918152256 7953033984 8059547832 8333682112 9049316864 9210911808 9402805804 9444227856 9524208128 10526756352 10604045312 10746063776 10793403264 10937957772 11877228384 12281215744 12335318016 12500523168 12592303808 12760950734 13573975296 14104208706 14286312192 14391204352 14583943696 15836304512 15906067968 16119095664 16667364224 18098633728 18421823616 18805611608 18888455712 19048416256 19141426101 21053512704 21492127552 21586806528 21875915544 23754456768 24562431488 25001046336 25184607616 25521901468 27147950592 28208417412 28572624384 28782408704 29167887392 31672609024 31812135936 32238191328 33334728448 36843647232 37611223216 37776911424 38282852202 42984255104 43173613056 43751831088 44663327569 47508913536 49124862976 50002092672 50369215232 51043802936 54295901184 56416834824 57145248768 58335774784 63345218048 64476382656 66669456896 73687294464 75222446432 75553822848 76565704404 85968510208 86347226112 87503662176 89326655138 95017827072 100004185344 100738430464 102087605872 112833669648 116671549568 126690436096 128952765312 133338913792 133989982707 147374588928 150444892864 151107645696 153131408808 171937020416 175007324352 178653310276 190035654144 200008370688 201476860928 204175211744 225667339296 233343099136 257905530624 267979965414 300889785728 302215291392 306262817616 343874040832 350014648704 357306620552 380071308288 400016741376 408350423488 451334678592 466686198272 515811061248 535959930828 601779571456 604430582784 612525635232 700029297408 714613241104 816700846976 902669357184 933372396544 1031622122496 1071919861656 1203559142912 1225051270464 1400058594816 1429226482208 1633401693952 1805338714368 2143839723312 2407118285824 2450102540928 2800117189632 2858452964416 3266803387904 3610677428736 4287679446624 4900205081856 5716905928832 6533606775808 7221354857472 8575358893248 9800410163712 11433811857664 17150717786496 19600820327424 22867623715328 34301435572992 45735247430656 68602871145984 137205742291968
- Sum of all divisors σ(n): 452256704495196
- Sum of proper divisors (its aliquot sum) s(n): 315050962203228
- 137205742291968 is an abundant number, because the sum of its proper divisors (315050962203228) is greater than itself. Its abundance is 177845219911260
Bases of 137205742291968
- Binary: 111110011001001101100111000011111001100000000002
- Hexadecimal: 0x7CC9B387CC00
- Base-36: 1CMVG4EVPC
Squares and roots of 137205742291968
- 137205742291968 squared (1372057422919682) is 18825415717889936245757313024
- 137205742291968 cubed (1372057422919683) is 2582955137527970353252715391185454976991232
-
The
square root of 137205742291968 is 11713485.4886138823 -
The
cube root of 137205742291968 is 51577.1605214197
Scales and comparisons
How big is 137205742291968?- 137,205,742,291,968 seconds is equal to 4,362,718 years, 10 weeks, 2 days, 16 hours, 12 minutes, 48 seconds.
-
To count from 1 to 137,205,742,291,968 would take you about ten million, nine hundred six thousand, seven hundred ninety-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 137205742291968 cubic inches would be around 4298.1 feet tall.
Recreational maths with 137205742291968
- 137205742291968 backwards is 869192247502731
- The number of decimal digits it has is: 15
- The sum of 137205742291968's digits is 66
- More coming soon!
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The information we have on file for 137205742291968 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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