42135566002816
42,135,566,002,816 is an even composite number composed of eight prime numbers multiplied together.
42135566002816 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 42135566002816:
27 × 11 × 13 × 17 × 41 × 71 × 181 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 13 × 17 × 41 × 71 × 181 × 257)See below for interesting mathematical facts about the number 42135566002816 from the Numbermatics database.
Names of 42135566002816
- Cardinal: 42135566002816 can be written as Forty-two trillion, one hundred thirty-five billion, five hundred sixty-six million, two thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 4.2135566002816 × 1013
Factors of 42135566002816
Divisors of 42135566002816
- Number of divisors d(n): 1024
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Complete list of divisors:
1 2 4 8 11 13 16 17 22 26 32 34 41 44 52 64 68 71 82 88 104 128 136 142 143 164 176 181 187 208 221 257 272 284 286 328 352 362 374 416 442 451 514 533 544 568 572 656 697 704 724 748 781 832 884 902 923 1028 1066 1088 1136 1144 1207 1312 1394 1408 1448 1496 1562 1664 1768 1804 1846 1991 2056 2132 2176 2272 2288 2353 2414 2431 2624 2788 2827 2896 2911 2992 3077 3124 3341 3536 3608 3692 3982 4112 4264 4369 4544 4576 4706 4828 4862 5248 5576 5654 5792 5822 5863 5984 6154 6248 6682 7072 7216 7384 7421 7667 7964 8224 8528 8738 9061 9088 9152 9412 9656 9724 10153 10537 11152 11308 11584 11644 11726 11968 12308 12496 12851 13277 13364 14144 14432 14768 14842 15334 15691 15928 16448 17056 17476 18122 18247 18304 18824 19312 19448 20306 21074 22304 22616 23168 23288 23452 23936 24616 24992 25702 25883 26554 26728 28288 28864 29536 29684 30668 31382 31856 32021 32896 33847 34112 34952 36244 36494 36751 37648 37843 38624 38896 40001 40612 42148 44608 45232 46517 46576 46904 48059 49232 49487 49984 51404 51766 53108 53456 56797 57728 59072 59368 61336 62764 63712 64042 67694 68224 69904 72488 72988 73502 75296 75686 77248 77792 80002 81224 81631 84296 89216 90464 93034 93152 93808 96118 96473 98464 98974 99671 99968 102808 103532 106216 106912 113594 115907 118144 118736 122672 125528 126157 127424 128084 135388 136981 139808 141361 144976 145976 147004 150592 151372 154496 155584 160004 162448 163262 167063 168592 172601 179129 180928 186068 186304 187616 192236 192946 196928 197948 199342 200717 205616 207064 212432 213824 218467 227188 231814 237211 237472 245344 251056 252314 254848 256168 270776 273962 279616 282722 289952 291952 294008 301184 302744 310199 311168 320008 324896 326524 334126 337184 345202 358258 361856 372136 372608 375232 384472 385892 393856 395896 398684 401434 411232 414128 416273 424864 427648 436934 440011 454376 463628 474422 474944 490688 502112 504628 511687 512336 526891 541552 544357 547924 559232 565444 579904 583904 588016 604721 605488 620398 624767 640016 643331 649792 653048 668252 674368 690404 716516 744272 748127 750464 768944 771784 790789 791792 797368 802868 822464 828256 832546 849728 873868 880022 908752 927256 948844 949888 981376 1004224 1009256 1023374 1024672 1053782 1061203 1083104 1088714 1095848 1130888 1159808 1167808 1176032 1209442 1210976 1240796 1249534 1280032 1286662 1299584 1306096 1336504 1348736 1380808 1387727 1433032 1488544 1496254 1506791 1537888 1543568 1581578 1583584 1594736 1605736 1640041 1644928 1656512 1665092 1699456 1747736 1760044 1817504 1837693 1854512 1897688 1907197 1970419 2008448 2018512 2046748 2049344 2107564 2122406 2166208 2177428 2191696 2261776 2328677 2335616 2352064 2403137 2418884 2421952 2481592 2499068 2560064 2573324 2609321 2612192 2673008 2761616 2775454 2840071 2866064 2977088 2992508 3013582 3075776 3087136 3163156 3167168 3189472 3211472 3280082 3302707 3313024 3330184 3412189 3495472 3520088 3635008 3675386 3709024 3795376 3814394 3940838 4032587 4037024 4093496 4098688 4215128 4244812 4332416 4354856 4383392 4523552 4657354 4704128 4806274 4837768 4843904 4963184 4998136 5120128 5146648 5218642 5224384 5346016 5523232 5550908 5680142 5732128 5795801 5954176 5985016 6027164 6151552 6174272 6326312 6334336 6378944 6422944 6560164 6605414 6651931 6660368 6824378 6849583 6990944 7040176 7076641 7270016 7350772 7418048 7590752 7628788 7881676 8065174 8074048 8186992 8229397 8430256 8489624 8698679 8709712 8766784 8957147 9047104 9314708 9612548 9675536 9725651 9926368 9996272 10280257 10293296 10437284 10448768 10692032 11046464 11101816 11360284 11464256 11591602 11970032 12054328 12348544 12652624 12718159 12757888 12845888 13120328 13210828 13303862 13320736 13648756 13699166 13981888 14080352 14153282 14701544 14836096 15181504 15257576 15763352 16130348 16148096 16373984 16458794 16860512 16979248 17397358 17419424 17533568 17914294 18040451 18094208 18629416 19225096 19351072 19451302 19852736 19992544 20560514 20586592 20874568 20979167 21384064 22092928 22203632 22720568 22928512 23183204 23940064 24108656 24793561 25305248 25436318 25615447 25691776 26240656 26421656 26607724 26641472 27297512 27398332 27963776 28160704 28306564 29403088 30363008 30515152 31240781 31526704 32260696 32422349 32747968 32917588 33721024 33958496 34794716 34838848 35828588 36080902 36329777 37258832 38450192 38702144 38902604 39705472 39985088 41121028 41173184 41749136 41958334 42935191 44358457 44407264 45441136 46366408 47880128 48217312 49587122 50610496 50872636 51230894 52481312 52843312 53215448 53282944 54595024 54796664 56146019 56321408 56613128 58806176 61030304 62481562 63053408 64521392 64844698 65495936 65835176 67442048 67916992 69589432 69677696 71657176 72161804 72659554 74517664 75345413 76900384 77404288 77805208 79970176 82242056 82346368 83498272 83916668 85870382 88716914 88814528 90882272 92732816 95760256 96434624 98528617 99174244 101220992 101745272 102461788 104962624 105686624 106430896 106982161 109190048 109593328 112292038 113082827 113226256 116442911 117612352 122060608 124963124 126106816 129042784 129689396 131670352 135410987 135833984 139178864 139899749 143314352 144323608 145319108 149035328 150690826 153800768 155610416 164484112 165336067 166996544 167833336 171740764 177433828 177629056 181764544 185465632 192869248 197057234 198348488 203490544 204923576 209925248 211373248 212861792 213964322 218380096 219186656 224584076 226165654 226452512 232885822 235224704 244121216 249926248 252213632 258085568 259378792 263340704 270821974 272729171 278357728 279799498 286628704 288647216 290638216 298070656 301381652 307601536 311220832 328968224 330672134 333993088 335666672 343481528 354867656 356645839 363529088 370931264 394114468 396696976 406981088 409847152 421490537 422746496 425723584 427928644 436760192 438373312 449168152 452331308 452905024 465771644 472287101 499852496 516171136 518757584 526681408 541643948 545458342 556715456 559598996 573257408 577294432 581276432 602763304 617606209 622441664 657936448 661344268 671333344 686963056 709735312 713291678 729898247 741862528 788228936 793393952 813962176 819694304 842981074 851447168 855857288 876746624 898336304 904662616 905810048 931543288 944574202 999704992 1037515168 1053362816 1083287896 1090916684 1113430912 1119197992 1146514816 1154588864 1162552864 1205526608 1235212418 1244883328 1280872021 1315872896 1322688536 1342666688 1373926112 1419470624 1426583356 1459796494 1489520857 1576457872 1586787904 1627924352 1639388608 1685962148 1711714576 1760342831 1796672608 1809325232 1818696737 1863086576 1889148404 1999409984 2075030336 2166575792 2181833368 2238395984 2301986779 2309177728 2325105728 2411053216 2470424836 2561744042 2645377072 2685333376 2747852224 2838941248 2853166712 2919592988 2979041714 3152915744 3173575808 3278777216 3371924296 3423429152 3520685662 3593345216 3618650464 3637393474 3726173152 3778296808 3998819968 4150060672 4333151584 4363666736 4476791968 4603973558 4636395907 4650211456 4822106432 4940849672 5123488084 5290754144 5495704448 5677882496 5706333424 5839185976 5958083428 6305831488 6743848592 6846858304 7041371324 7186690432 7237300928 7274786948 7452346304 7556593616 8028880717 8666303168 8727333472 8953583936 9207947116 9272791814 9644212864 9881699344 10246976168 10581508288 11412666848 11678371952 11916166856 12611662976 13487697184 13693716608 14082742648 14474601856 14549573896 14904692608 15113187232 16057761434 17332606336 17454666944 17907167872 18415894232 18545583628 19363771141 19763398688 20493952336 21163016576 22825333696 23356743904 23832333712 25321854569 26975394368 28165485296 29099147792 29925828127 30226374464 32115522868 34909333888 36831788464 37091167256 38727542282 39526797376 40987904672 45650667392 46713487808 47664667424 50643709138 53950788736 56330970592 58198295584 59851656254 60452748928 64231045736 73663576928 74182334512 77455084564 79053594752 81975809344 93426975616 95329334848 101287418276 112661941184 116396591168 119703312508 128462091472 147327153856 148364669024 154910169128 163951618688 190658669696 202574836552 225323882368 232793182336 239406625016 256924182944 294654307712 296729338048 309820338256 329184109397 405149673104 478813250032 513848365888 593458676096 619640676512 658368218794 810299346208 957626500064 1027696731776 1239281353024 1316736437588 1620598692416 1915253000128 2478562706048 2633472875176 3241197384832 3830506000256 5266945750352 10533891500704 21067783001408 42135566002816
- Sum of all divisors σ(n): 109495141217280
- Sum of proper divisors (its aliquot sum) s(n): 67359575214464
- 42135566002816 is an abundant number, because the sum of its proper divisors (67359575214464) is greater than itself. Its abundance is 25224009211648
Bases of 42135566002816
- Binary: 10011001010010011100110111000110101010100000002
- Hexadecimal: 0x26527371AA80
- Base-36: EXOT838N4
Squares and roots of 42135566002816
- 42135566002816 squared (421355660028162) is 1775405922377663507719929856
- 42135566002816 cubed (421355660028163) is 74807733424134460732740114400597818474496
-
The
square root of 42135566002816 is 6491191.4162822221 -
The
cube root of 42135566002816 is 34797.6255709227
Scales and comparisons
How big is 42135566002816?- 42,135,566,002,816 seconds is equal to 1,339,780 years, 34 weeks, 4 days, 1 hour, 40 minutes, 16 seconds.
-
To count from 1 to 42,135,566,002,816 would take you about three million, three hundred forty-nine thousand, four hundred fifty-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 42135566002816 cubic inches would be around 2899.8 feet tall.
Recreational maths with 42135566002816
- 42135566002816 backwards is 61820066553124
- The number of decimal digits it has is: 14
- The sum of 42135566002816's digits is 49
- More coming soon!
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The information we have on file for 42135566002816 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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