42134798491968
42,134,798,491,968 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42134798491968 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1008 divisors.
42134798491968 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 42134798491968:
26 × 3 × 7 × 132 × 312 × 137 × 1409
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 13 × 31 × 31 × 137 × 1409)See below for interesting mathematical facts about the number 42134798491968 from the Numbermatics database.
Names of 42134798491968
- Cardinal: 42134798491968 can be written as Forty-two trillion, one hundred thirty-four billion, seven hundred ninety-eight million, four hundred ninety-one thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 4.2134798491968 × 1013
Factors of 42134798491968
Divisors of 42134798491968
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 31 32 39 42 48 52 56 62 64 78 84 91 93 96 104 112 124 137 156 168 169 182 186 192 208 217 224 248 273 274 312 336 338 364 372 403 411 416 434 448 496 507 546 548 624 651 672 676 728 744 806 822 832 868 959 961 992 1014 1092 1096 1183 1209 1248 1302 1344 1352 1409 1456 1488 1612 1644 1736 1781 1918 1922 1984 2028 2184 2192 2366 2418 2496 2604 2704 2818 2821 2877 2883 2912 2976 3224 3288 3472 3549 3562 3836 3844 4056 4227 4247 4368 4384 4732 4836 5208 5239 5343 5408 5636 5642 5754 5766 5824 5952 6448 6576 6727 6944 7098 7124 7672 7688 8112 8454 8463 8494 8736 8768 9464 9672 9863 10416 10478 10686 10816 11272 11284 11508 11532 12467 12493 12741 12896 13152 13454 13888 14196 14248 15344 15376 15717 16224 16908 16926 16988 17472 18317 18928 19344 19726 20181 20832 20956 21372 22544 22568 23016 23064 23153 24934 24986 25482 25792 26304 26908 28392 28496 29589 29729 30688 30752 31434 32448 33816 33852 33976 36634 36673 37401 37479 37856 38688 39452 40362 41664 41912 42744 43679 45088 45136 46032 46128 46306 49868 49972 50964 53816 54951 55211 56784 56992 59178 59458 61376 61504 62868 67632 67704 67952 69459 73268 73346 74802 74958 75712 77376 78904 80724 83824 85488 87358 87451 89187 90176 90272 92064 92256 92612 99736 99944 101928 107632 109902 110019 110422 113568 113984 118356 118916 125736 128219 131037 131657 135264 135408 135904 138918 146536 146692 149604 149916 157808 161448 162071 162409 165633 167648 170976 174716 174902 178374 180544 184128 184512 185224 193033 199472 199888 203856 215264 219804 220038 220844 227136 236712 237832 238121 251472 256438 262074 262353 263314 270528 270816 271808 277836 293072 293384 299208 299832 305753 315616 322896 324142 324818 331266 335296 341952 349432 349804 356748 370448 384657 386066 386477 394971 398944 399776 407712 430528 439608 440076 441688 473424 475664 476242 486213 487227 502944 512876 524148 524706 526628 541632 555672 567827 579099 586144 586768 598416 599664 611506 631232 645792 648284 649636 662532 698864 699608 713496 714363 717743 740896 769314 772132 772954 789942 797888 799552 815424 879216 880152 883376 917259 921599 946848 951328 952484 972426 974454 1005888 1025752 1048296 1049412 1053256 1111344 1135654 1136863 1158198 1159431 1172288 1173536 1196832 1199328 1223012 1291584 1296568 1299272 1325064 1351231 1354049 1397728 1399216 1426992 1428726 1435486 1481792 1538628 1544264 1545908 1579884 1666847 1703481 1711541 1758432 1760304 1766752 1834518 1843198 1893696 1902656 1904968 1944852 1948908 2051504 2096592 2098824 2106512 2153229 2222688 2271308 2273726 2316396 2318862 2347072 2393664 2398656 2446024 2509429 2593136 2598544 2650128 2702462 2708098 2764797 2795456 2798432 2853984 2857452 2870972 3077256 3088528 3091816 3159768 3333694 3406962 3410589 3423082 3516864 3520608 3533504 3669036 3686396 3809936 3889704 3897816 3974789 4053693 4062147 4103008 4193184 4197648 4213024 4306458 4445376 4542616 4547452 4632792 4637724 4892048 5000541 5018858 5024201 5134623 5186272 5197088 5300256 5404924 5416196 5529594 5596864 5707968 5714904 5741944 5984023 6154512 6177056 6183632 6319536 6667388 6813924 6821178 6846164 7041216 7338072 7372792 7381751 7528287 7619872 7779408 7795632 7949578 8107386 8124294 8206016 8386368 8395296 8426048 8612916 9085232 9094904 9265584 9275448 9478343 9784096 10001082 10037716 10048402 10269246 10372544 10394176 10600512 10809848 10832392 11059188 11429808 11483888 11924367 11968046 11980787 12309024 12354112 12367264 12639072 13334776 13627848 13642356 13692328 14676144 14745584 14763502 15056574 15072603 15239744 15558816 15591264 15899156 16214772 16248588 16790592 17225832 17566003 17602637 17952069 18170464 18189808 18531168 18550896 18956686 19568192 20002164 20075432 20096804 20538492 21619696 21664784 22118376 22145253 22250033 22859616 22967776 23848734 23936092 23961574 24618048 24734528 25278144 26669552 27255696 27284712 27384656 28435029 29352288 29491168 29527004 30113148 30145206 31117632 31182528 31798312 32429544 32497176 32622577 34451664 35132006 35205274 35904138 35942361 36340928 36379616 37062336 37101792 37913372 40004328 40150864 40193608 41076984 41888161 43239392 43329568 44236752 44290506 44500066 45719232 45935552 47697468 47872184 47923148 51672257 52698009 52807911 53339104 54511392 54569424 54769312 56870058 58704576 58982336 59054008 60226296 60290412 63596624 64859088 64994352 65245154 66750099 68903328 70264012 70410548 71808276 71884722 72759232 74203584 75826744 77792299 80008656 80301728 80387216 82153968 83776322 86478784 86659136 88473504 88581012 89000132 95394936 95744368 95846296 97867731 103344514 105396018 105615822 106678208 109022784 109138848 109538624 113740116 118108016 120452592 120580824 123218459 125664483 127193248 129718176 129988704 130490308 133500198 137806656 140528024 140821096 143616552 143769444 151653488 155016771 155584598 155750231 160017312 160603456 160774432 164307936 167552644 176947008 177162024 178000264 185504713 190789872 191488736 191692592 195735462 206689028 210792036 211231644 218277696 227480232 228358039 228834281 233376897 236216032 240905184 241161648 246436918 251328966 254386496 259436352 259977408 260980616 267000396 281056048 281642192 287233104 287538888 303306976 310033542 311169196 311500462 320034624 321548864 328615872 335105288 354324048 356000528 369655377 371009426 381579744 382977472 383385184 391470924 413378056 421584072 422463288 454960464 456716078 457668562 466753794 467250693 472432064 481810368 482323296 492873836 502657932 521961232 534000792 544546093 556514139 562112096 563284384 574466208 575077776 606613952 620067084 622338392 623000924 670210576 685074117 686502843 708648096 712001056 739310754 742018852 763159488 766770368 782941848 826756112 843168144 844926576 909920928 913432156 915337124 933507588 934501386 964646592 985747672 1005315864 1011299887 1043922464 1068001584 1089092186 1113028278 1124224192 1126568768 1148932416 1150155552 1240134168 1244676784 1246001848 1298532991 1340421152 1370148234 1373005686 1417296192 1424002112 1478621508 1484037704 1565883696 1601839967 1633638279 1653512224 1686336288 1689853152 1819841856 1826864312 1830674248 1867015176 1869002772 1971495344 2010631728 2022599774 2087844928 2136003168 2178184372 2226056556 2300311104 2411561269 2480268336 2489353568 2492003696 2597065982 2680842304 2740296468 2746011372 2957243016 2968075408 3033899661 3131767392 3203679934 3267276558 3307024448 3372672576 3379706304 3653728624 3661348496 3734030352 3738005544 3895598973 3942990688 4021263456 4045199548 4272006336 4356368744 4452113112 4805519901 4823122538 4960536672 4978707136 4984007392 5194131964 5480592936 5492022744 5914486032 5936150816 6067799322 6263534784 6407359868 6534553116 7079099209 7234683807 7307457248 7322696992 7468060704 7476011088 7791197946 7885981376 8042526912 8090399096 8712737488 8904226224 9611039802 9646245076 9921073344 9968014784 10388263928 10961185872 10984045488 11828972064 11872301632 12135598644 12814719736 13069106232 14158198418 14469367614 14614914496 14645393984 14936121408 14952022176 15582395892 16180798192 16880928883 17425474976 17808452448 19222079604 19292490152 20776527856 21237297627 21922371744 21968090976 23657944128 24271197288 25629439472 26138212464 28316396836 28938735228 29904044352 31164791784 31350296497 32361596384 33761857766 34850949952 35616904896 38444159208 38584980304 41553055712 42474595254 43844743488 43936181952 48542394576 50642786649 51258878944 52276424928 56632793672 57877470456 62329583568 62700592994 64723192768 67523715532 76888318416 77169960608 83106111424 84949190508 94050889491 97084789152 101285573298 102517757888 104552849856 113265587344 115754940912 124659167136 125401185988 135047431064 153776636832 154339921216 169898381016 188101778982 194169578304 202571146596 219452075479 226531174688 231509881824 249318334272 250802371976 270094862128 307553273664 339796762032 376203557964 405142293192 438904150958 453062349376 463019763648 501604743952 540189724256 658356226437 679593524064 752407115928 810284586384 877808301916 1003209487904 1080379448512 1316712452874 1359187048128 1504814231856 1620569172768 1755616603832 2006418975808 2633424905748 3009628463712 3241138345536 3511233207664 5266849811496 6019256927424 7022466415328 10533699622992 14044932830656 21067399245984 42134798491968
- Sum of all divisors σ(n): 143698500593280
- Sum of proper divisors (its aliquot sum) s(n): 101563702101312
- 42134798491968 is an abundant number, because the sum of its proper divisors (101563702101312) is greater than itself. Its abundance is 59428903609344
Bases of 42134798491968
- Binary: 10011001010010010001011011001001100001010000002
- Hexadecimal: 0x265245B26140
- Base-36: EXOGJ4THC
Squares and roots of 42134798491968
- 42134798491968 squared (421347984919682) is 1775341243958748846960513024
- 42134798491968 cubed (421347984919683) is 74803645568681684107311882984078823391232
-
The
square root of 42134798491968 is 6491132.2966003397 -
The
cube root of 42134798491968 is 34797.4142868873
Scales and comparisons
How big is 42134798491968?- 42,134,798,491,968 seconds is equal to 1,339,756 years, 13 weeks, 3 days, 20 hours, 12 minutes, 48 seconds.
-
To count from 1 to 42,134,798,491,968 would take you about three million, three hundred forty-nine thousand, three hundred ninety 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 42134798491968 cubic inches would be around 2899.8 feet tall.
Recreational maths with 42134798491968
- 42134798491968 backwards is 86919489743124
- The number of decimal digits it has is: 14
- The sum of 42134798491968's digits is 75
- More coming soon!
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The information we have on file for 42134798491968 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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