42204967875072
42,204,967,875,072 is an even composite number composed of five prime numbers multiplied together.
42204967875072 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred fifty divisors.
Prime factorization of 42204967875072:
29 × 34 × 192 × 232 × 732
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 19 × 19 × 23 × 23 × 73 × 73)See below for interesting mathematical facts about the number 42204967875072 from the Numbermatics database.
Names of 42204967875072
- Cardinal: 42204967875072 can be written as Forty-two trillion, two hundred four billion, nine hundred sixty-seven million, eight hundred seventy-five thousand and seventy-two.
Scientific notation
- Scientific notation: 4.2204967875072 × 1013
Factors of 42204967875072
Divisors of 42204967875072
- Number of divisors d(n): 1350
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 23 24 27 32 36 38 46 48 54 57 64 69 72 73 76 81 92 96 108 114 128 138 144 146 152 162 171 184 192 207 216 219 228 256 276 288 292 304 324 342 361 368 384 414 432 437 438 456 512 513 529 552 576 584 608 621 648 657 684 722 736 768 828 864 874 876 912 1026 1058 1083 1104 1152 1168 1216 1242 1296 1311 1314 1368 1387 1444 1472 1536 1539 1587 1656 1679 1728 1748 1752 1824 1863 1971 2052 2116 2166 2208 2304 2336 2432 2484 2592 2622 2628 2736 2774 2888 2944 3078 3174 3249 3312 3358 3456 3496 3504 3648 3726 3933 3942 4104 4161 4232 4332 4416 4608 4672 4761 4864 4968 5037 5184 5244 5256 5329 5472 5548 5776 5888 5913 6156 6348 6498 6624 6716 6912 6992 7008 7296 7452 7866 7884 8208 8303 8322 8464 8664 8832 9344 9522 9728 9747 9936 10051 10074 10368 10488 10512 10658 10944 11096 11552 11776 11799 11826 12312 12483 12696 12996 13248 13432 13824 13984 14016 14283 14592 14904 15111 15732 15768 15987 16416 16606 16644 16928 17328 17664 18688 19044 19494 19872 20102 20148 20736 20976 21024 21316 21888 22192 23104 23598 23652 24624 24909 24966 25392 25992 26353 26496 26864 27968 28032 28566 29184 29241 29808 30153 30222 31464 31536 31901 31974 32832 33212 33288 33856 34656 35328 35397 37376 37449 38088 38617 38988 39744 40204 40296 41472 41952 42048 42632 42849 43776 44384 45333 46208 47196 47304 47961 49248 49818 49932 50784 51984 52706 52992 53728 55936 56064 57132 58482 59616 60306 60444 62928 63072 63802 63948 65664 66424 66576 67712 69312 70794 74727 74898 76176 77234 77976 79059 79488 80408 80592 83904 84096 85264 85698 87552 88768 90459 90666 92416 94392 94608 95703 95922 98496 99636 99864 101251 101568 103968 105412 105984 107456 111872 112128 112347 114264 115851 116964 119232 120612 120888 122567 125856 126144 127604 127896 131328 132848 133152 135424 135999 138624 141588 143883 149454 149796 152352 154468 155952 158118 158976 160816 161184 167808 168192 170528 171396 177536 180918 181332 184832 188784 189216 190969 191406 191844 196992 199272 199728 202502 203136 207936 210824 214912 223744 224181 224694 228528 231702 233928 237177 238464 241224 241776 245134 251712 252288 255208 255792 262656 265696 266304 270848 271377 271998 277248 283176 287109 287766 298908 299592 303753 304704 308936 311904 316236 317952 321632 322368 335616 336384 341056 342792 347553 355072 361836 362664 367701 377568 378432 381938 382812 383688 393984 398544 399456 405004 406272 415872 421648 429824 431649 448362 449388 457056 463404 467856 474354 476928 482448 483552 490268 503424 504576 510416 511584 531392 532608 542754 543996 554496 566352 572907 574218 575532 597816 599184 606119 607506 609408 617872 623808 632472 643264 644736 671232 672543 682112 685584 695106 710144 711531 723672 725328 733723 735402 755136 756864 763876 765624 767376 787968 797088 798912 810008 812544 814131 831744 843296 859648 861327 863298 896724 898776 911259 914112 926808 935712 948708 953856 964896 967104 980536 1006848 1009152 1020832 1023168 1042659 1062784 1065216 1085508 1087992 1103103 1132704 1145814 1148436 1151064 1195632 1198368 1212238 1215012 1218816 1235744 1247616 1264944 1286528 1289472 1345086 1364224 1371168 1390212 1423062 1447344 1450656 1467446 1470804 1510272 1513728 1527752 1531248 1534752 1594176 1597824 1620016 1628262 1663488 1686592 1718721 1722654 1726596 1793448 1797552 1818357 1822518 1828224 1853616 1871424 1897416 1923769 1929792 1934208 1961072 2013696 2041664 2046336 2085318 2125568 2130432 2134593 2171016 2175984 2201169 2206206 2265408 2291628 2296872 2302128 2328773 2391264 2396736 2424476 2430024 2437632 2471488 2495232 2529888 2573056 2578944 2583981 2690172 2728448 2733777 2742336 2780424 2819041 2846124 2894688 2901312 2934892 2941608 3020544 3027456 3055504 3062496 3069504 3127977 3188352 3195648 3240032 3256524 3309309 3373184 3437442 3445308 3453192 3586896 3595104 3636714 3645036 3656448 3707232 3742848 3794832 3847538 3859584 3868416 3922144 4083328 4092672 4170636 4251136 4269186 4342032 4351968 4402338 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16365213 16402662 16682544 16914246 17076744 17313921 17368128 17407872 17609352 17649648 18123264 18333024 18374976 18417024 18630184 19130112 19173888 19395808 19440192 19771904 19810521 19855854 20239104 20624652 20671848 20958957 21521376 21820284 21870216 21938688 22243392 22552328 22768992 23085228 23157504 23210496 23479136 23532864 24444032 24499968 24556032 25023816 25371369 25920256 26052192 26414028 26474472 27499536 27562464 27625536 27881474 27945276 28695168 28760832 29093712 29160288 29657856 30358656 30780304 30936978 31377152 32730426 32805324 33365088 33828492 34153488 34627842 34736256 34815744 35218704 35299296 36666048 36749952 36834048 37260368 38260224 38791616 38880384 39621042 39711708 40478208 41249304 41343696 41822211 41917914 43042752 43640568 43740432 44246687 44486784 45104656 45537984 46170456 46315008 46958272 47065728 48888064 48999936 49095639 50047632 50742738 51840512 51941763 52104384 52828056 52948944 53561779 54999072 55124928 55251072 55762948 55890552 57390336 57521664 58187424 58320576 59315712 59431563 60717312 61560608 61873956 62754304 62876871 65460852 65610648 66730176 67656984 68306976 69255684 69472512 69631488 70437408 70598592 73332096 73499904 73668096 74520736 76114107 77583232 77760768 79242084 79423416 82498608 82687392 83644422 83835828 86085504 87281136 87480864 88493374 88973568 90209312 91075968 92340912 93916544 94131456 97776128 98191278 100095264 101485476 103883526 104208768 105656112 105897888 107123558 109998144 110249856 110502144 111525896 111781104 114780672 116374848 116641152 118863126 121434624 123121216 123747912 125466633 125753742 130921704 131221296 132740061 133460352 135313968 136613952 138511368 138945024 140874816 141197184 146664192 146999808 149041472 152228214 155166464 155521536 155825289 158484168 158846832 160685337 164997216 165374784 167288844 167671656 172171008 174562272 174961728 176986748 177947136 180418624 182151936 184681824 187833088 188262912 188630613 196382556 200190528 202970952 207767052 208417536 211312224 211795776 214247116 219996288 220499712 221004288 223051792 223562208 228342321 232749696 233282304 237726252 246242432 247495824 250933266 251507484 261843408 262442592 265480122 266920704 270627936 273227904 277022736 281749632 282394368 293328384 298082944 304456428 310332928 311650578 316968336 317693664 321370674 329994432 330749568 334577688 335343312 344342016 349124544 349923456 353973496 360837248 364303872 369363648 375666176 376399899 377261226 392765112 398220183 400381056 405941904 415534104 416835072 422624448 423591552 428494232 439992576 440999424 446103584 447124416 456684642 465499392 466564608 475452504 482056011 492484864 494991648 501866532 503014968 523686816 524885184 530960244 533841408 541255872 546455808 554045472 563499264 564788736 596165888 608912856 623301156 633936672 635387328 642741348 659988864 661499136 669155376 670686624 698249088 699846912 707946992 721674496 738727296 752799798 754522452 785530224 796440366 800762112 811883808 831068208 845248896 847183104 856988464 879985152 892207168 894248832 913369284 930998784 950905008 964112022 984969728 989983296 1003733064 1006029936 1017673801 1047373632 1049770368 1061920488 1082511744 1092911616 1108090944 1126998528 1129199697 1192331776 1194660549 1217825712 1246602312 1267873344 1270774656 1285482696 1319977728 1322998272 1338310752 1341373248 1396498176 1399693824 1415893984 1443348992 1446168033 1477454592 1505599596 1509044904 1571060448 1592880732 1601524224 1623767616 1662136416 1690497792 1694366208 1713976928 1784414336 1788497664 1826738568 1901810016 1928224044 1979966592 2007466128 2012059872 2035347602 2094747264 2099540736 2123840976 2165023488 2216181888 2258399394 2389321098 2435651424 2493204624 2535746688 2541549312 2570965392 2639955456 2676621504 2682746496 2792996352 2831787968 2892336066 2954909184 3011199192 3018089808 3053021403 3142120896 3185761464 3247535232 3324272832 3380995584 3427953856 3568828672 3576995328 3583981647 3653477136 3803620032 3856448088 3959933184 4014932256 4024119744 4070695204 4189494528 4199081472 4247681952 4330046976 4338504099 4432363776 4516798788 4778642196 4871302848 4986409248 5071493376 5083098624 5141930784 5353243008 5365492992 5663575936 5784672132 6022398384 6036179616 6106042806 6284241792 6371522928 6495070464 6648545664 6855907712 7137657344 7167963294 7306954272 7607240064 7712896176 7919866368 8029864512 8048239488 8141390408 8378989056 8495363904 8677008198 8864727552 9033597576 9159064209 9557284392 9742605696 9972818496 10142986752 10283861568 10706486016 10730985984 11327151872 11569344264 12044796768 12072359232 12212085612 12568483584 12743045856 12990140928 13297091328 13711815424 14335926588 14613908544 15214480128 15425792352 16059729024 16096478976 16282780816 16990727808 17354016396 18067195152 18318128418 19114568784 19485211392 19945636992 20567723136 21412972032 22654303744 23138688528 24089593536 24144718464 24424171224 25136967168 25486091712 26594182656 27423630848 27477192627 28671853176 29227817088 30428960256 30851584704 32119458048 32192957952 32565561632 33981455616 34708032792 36134390304 36636256836 38229137568 38970422784 39891273984 41135446272 46277377056 48179187072 48289436928 48848342448 50972183424 54954385254 57343706352 58455634176 61703169408 64238916096 65131123264 67962911232 69416065584 72268780608 73272513672 76458275136 79782547968 82270892544 82431577881 92554754112 96358374144 96578873856 97696684896 101944366848 109908770508 114687412704 116911268352 123406338816 130262246528 138832131168 144537561216 146545027344 152916550272 164863155762 185109508224 192716748288 195393369792 203888733696 219817541016 229374825408 246812677632 260524493056 277664262336 289075122432 293090054688 305833100544 329726311524 370219016448 390786739584 439635082032 458749650816 521048986112 555328524672 578150244864 586180109376 611666201088 659452623048 740438032896 781573479168 879270164064 917499301632 1110657049344 1172360218752 1318905246096 1563146958336 1758540328128 1834998603264 2221314098688 2344720437504 2637810492192 3517080656256 4689440875008 5275620984384 7034161312512 10551241968768 14068322625024 21102483937536 42204967875072
- Sum of all divisors σ(n): 140911383377457
- Sum of proper divisors (its aliquot sum) s(n): 98706415502385
- 42204967875072 is an abundant number, because the sum of its proper divisors (98706415502385) is greater than itself. Its abundance is 56501447627313
Bases of 42204967875072
- Binary: 10011001100010100111000001111000110010000000002
- Hexadecimal: 0x26629C1E3200
- Base-36: EYKP06800
Squares and roots of 42204967875072
- 42204967875072 squared (422049678750722) is 1781259313335859530999005184
- 42204967875072 cubed (422049678750723) is 75177992096512761261885762333910392373248
-
The
square root of 42204967875072 is 6496535.0668700311 -
The
cube root of 42204967875072 is 34816.7202524605
Scales and comparisons
How big is 42204967875072?- 42,204,967,875,072 seconds is equal to 1,341,987 years, 22 weeks, 2 days, 11 hours, 31 minutes, 12 seconds.
-
To count from 1 to 42,204,967,875,072 would take you about three million, three hundred fifty-four thousand, nine hundred sixty-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 42204967875072 cubic inches would be around 2901.4 feet tall.
Recreational maths with 42204967875072
- 42204967875072 backwards is 27057876940224
- The number of decimal digits it has is: 14
- The sum of 42204967875072's digits is 63
- More coming soon!
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"Number 42204967875072 - Facts about the integer". Numbermatics.com. 2024. Web. 26 September 2024.
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Numbermatics. (2024). Number 42204967875072 - Facts about the integer. Retrieved 26 September 2024, from https://numbermatics.com/n/42204967875072/
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The information we have on file for 42204967875072 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 42204967875072, math, Factors of 42204967875072, curriculum, school, college, exams, university, Prime factorization of 42204967875072, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, two hundred four billion, nine hundred sixty-seven million, eight hundred seventy-five thousand and seventy-two.