42838123732992
42,838,123,732,992 is an even composite number composed of six prime numbers multiplied together.
What does the number 42838123732992 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1344 divisors.
42838123732992 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 42838123732992:
213 × 33 × 7 × 292 × 167 × 197
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 29 × 29 × 167 × 197)See below for interesting mathematical facts about the number 42838123732992 from the Numbermatics database.
Names of 42838123732992
- Cardinal: 42838123732992 can be written as Forty-two trillion, eight hundred thirty-eight billion, one hundred twenty-three million, seven hundred thirty-two thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 4.2838123732992 × 1013
Factors of 42838123732992
Divisors of 42838123732992
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 29 32 36 42 48 54 56 58 63 64 72 84 87 96 108 112 116 126 128 144 167 168 174 189 192 197 203 216 224 232 252 256 261 288 334 336 348 378 384 394 406 432 448 464 501 504 512 522 576 591 609 668 672 696 756 768 783 788 812 841 864 896 928 1002 1008 1024 1044 1152 1169 1182 1218 1336 1344 1379 1392 1503 1512 1536 1566 1576 1624 1682 1728 1773 1792 1827 1856 2004 2016 2048 2088 2304 2338 2364 2436 2523 2672 2688 2758 2784 3006 3024 3072 3132 3152 3248 3364 3456 3507 3546 3584 3654 3712 4008 4032 4096 4137 4176 4509 4608 4676 4728 4843 4872 5046 5319 5344 5376 5481 5516 5568 5713 5887 6012 6048 6144 6264 6304 6496 6728 6912 7014 7092 7168 7308 7424 7569 8016 8064 8192 8274 8352 9018 9216 9352 9456 9686 9744 10092 10521 10638 10688 10752 10962 11032 11136 11426 11774 12024 12096 12288 12411 12528 12608 12992 13456 13824 14028 14184 14336 14529 14616 14848 15138 16032 16128 16548 16704 17139 17661 18036 18432 18704 18912 19372 19488 20184 21042 21276 21376 21504 21924 22064 22272 22707 22852 23548 24048 24192 24576 24822 25056 25216 25984 26912 27648 28056 28368 28672 29058 29232 29696 30276 31563 32064 32256 32899 33096 33408 33901 34278 35322 36072 36864 37233 37408 37824 38744 38976 39991 40368 42084 42552 42752 43008 43587 43848 44128 44544 45414 45704 47096 48096 48384 49644 50112 50432 51417 51968 52983 53824 55296 56112 56736 57344 58116 58464 59392 60552 63126 64128 64512 65798 66192 66816 67802 68556 70644 72144 73728 74466 74816 75648 77488 77952 79982 80736 84168 85104 85504 86016 87174 87696 88256 89088 90828 91408 94192 96192 96768 98697 99288 100224 100864 101703 102834 103936 105966 107648 110592 112224 113472 116232 116928 118784 119973 121104 126252 128256 129024 130761 131596 132384 133632 135604 137112 140447 141288 144288 148932 149632 151296 154251 154976 155904 158949 159964 161472 165677 168336 170208 171008 172032 174348 175392 176512 178176 181656 182816 188384 192384 193536 197394 198576 200448 201728 203406 205668 207872 211932 215296 221184 224448 226944 230293 232464 233856 237568 239946 242208 252504 256512 258048 261522 263192 264768 267264 271208 274224 280894 282576 288576 296091 297864 299264 302592 305109 308502 309952 311808 317898 319928 322944 331354 336672 340416 342016 348696 350784 353024 356352 359919 363312 365632 376768 384768 387072 394788 397152 400896 403456 406812 411336 415744 421341 423864 430592 448896 453888 460586 464928 467712 479892 484416 497031 505008 513024 516096 523044 526384 529536 534528 542416 548448 561788 565152 577152 592182 595728 598528 605184 610218 617004 619904 623616 635796 639856 645888 662708 673344 680832 684032 690879 697392 701568 706048 712704 719838 726624 731264 753536 769536 774144 789576 794304 801792 806912 813624 822672 831488 842682 847728 861184 888273 897792 907776 915327 921172 929856 935424 954071 959784 968832 983129 994062 1010016 1026048 1046088 1052768 1059072 1069056 1079757 1084832 1096896 1123576 1130304 1154304 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16844288 16945152 17173278 17276112 17357312 17550336 17696322 17893116 17977216 18084864 18468864 18555824 18949824 19063296 19526976 19744128 19836928 20035491 20224368 20345472 20475392 20668416 20875302 21206656 21547008 21786624 22108128 22316544 22450176 22897704 23034816 23251968 23400448 23595096 23857488 24113152 24871644 25266432 25417728 25759917 26035968 26325504 26544483 26713988 26965824 27127296 27668059 27833736 28424736 28729344 29290464 29477504 29755392 30336552 30530272 30713088 31002624 31312953 31460128 31809984 32320512 33162192 33474816 33688576 33890304 34346556 34552224 34714624 35100672 35392644 35786232 35954432 36169728 36937728 37111648 37899648 38126592 39053952 39488256 39673856 40070982 40448736 40690944 40950784 41750604 42413312 43094016 43573248 44216256 44633088 44900352 45795408 46069632 46503936 46800896 47190192 47714976 48226304 49743288 50532864 50835456 51519834 52071936 52651008 53088966 53427976 53931648 54254592 55336118 55667472 56849472 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212355864 213711904 215726592 217018368 221344472 222669888 227397888 234323712 235820032 240425892 242692416 244242176 245704704 249012531 250503624 251681024 254479872 258564096 265297536 267798528 269508608 274772448 276417792 277716992 283141152 286289856 287635456 296893184 303197184 305012736 312431616 315906048 320567856 323589888 325527552 327606272 332016708 334004832 339306496 353730048 357064704 360638838 366363264 368557056 377521536 381719808 387352826 397946304 404262912 412158672 416575488 421208064 424711728 427423808 431453184 434036736 442688944 445339776 454795776 468647424 471640064 480851784 485384832 488484352 491409408 498025062 501007248 503362048 508959744 530595072 535597056 549544896 552835584 566282304 572579712 575270912 581029239 593786368 606394368 624863232 631812096 641135712 647179776 651055104 664033416 668009664 678612992 707460096 721277676 732726528 737114112 747037593 755043072 763439616 774705652 795892608 808525824 824317344 833150976 849423456 854847616 862906368 885377888 890679552 909591552 937294848 943280128 961703568 970769664 976968704 982818816 996050124 1002014496 1006724096 1017919488 1061190144 1071194112 1099089792 1105671168 1132564608 1145159424 1150541824 1162058478 1187572736 1212788736 1249726464 1263624192 1282271424 1294359552 1302110208 1328066832 1336019328 1357225984 1414920192 1442555352 1465453056 1474228224 1494075186 1510086144 1526879232 1549411304 1591785216 1648634688 1698846912 1709695232 1725812736 1743087717 1770755776 1781359104 1819183104 1874589696 1886560256 1923407136 1941539328 1953937408 1992100248 2004028992 2013448192 2035838976 2122380288 2198179584 2211342336 2265129216 2290318848 2324116956 2375145472 2425577472 2499452928 2564542848 2588719104 2656133664 2672038656 2829840384 2885110704 2930906112 2948456448 2988150372 3020172288 3053758464 3098822608 3183570432 3297269376 3397693824 3419390464 3451625472 3486175434 3541511552 3562718208 3638366208 3749179392 3846814272 3883078656 3907874816 3984200496 4008057984 4026896384 4071677952 4244760576 4396359168 4422684672 4530258432 4580637696 4648233912 4750290944 5129085696 5177438208 5229263151 5312267328 5344077312 5659680768 5770221408 5861812224 5976300744 6040344576 6107516928 6197645216 6367140864 6594538752 6795387648 6838780928 6972350868 7083023104 7125436416 7276732416 7498358784 7693628544 7766157312 7815749632 7968400992 8016115968 8053792768 8489521152 8792718336 8845369344 9060516864 9161275392 9296467824 9500581888 10258171392 10354876416 10458526302 10624534656 10688154624 11540442816 11723624448 11952601488 12080689152 12215033856 12395290432 12734281728 13189077504 13590775296 13677561856 13944701736 14166046208 14250872832 15387257088 15532314624 15936801984 16032231936 16979042304 17585436672 18121033728 18322550784 18592935648 20516342784 20917052604 21249069312 21376309248 23080885632 23447248896 23905202976 24161378304 24790580864 25468563456 26378155008 27181550592 27355123712 27889403472 28332092416 28501745664 30774514176 31064629248 31873603968 32064463872 35170873344 36242067456 36645101568 37185871296 41032685568 41834105208 42498138624 42752618496 46161771264 47810405952 49581161728 50937126912 52756310016 54363101184 54710247424 55778806944 56664184832 61549028352 63747207936 64128927744 70341746688 72484134912 74371742592 82065371136 83668210416 84996277248 85505236992 92323542528 95620811904 99162323456 105512620032 108726202368 111557613888 113328369664 123098056704 127494415872 128257855488 148743485184 164130742272 167336420832 169992554496 184647085056 191241623808 198324646912 211025240064 217452404736 223115227776 226656739328 246196113408 254988831744 256515710976 297486970368 334672841664 339985108992 369294170112 382483247616 396649293824 446230455552 492392226816 509977663488 594973940736 669345683328 679970217984 738588340224 764966495232 793298587648 892460911104 1019955326976 1189947881472 1338691366656 1477176680448 1529932990464 1586597175296 1784921822208 2039910653952 2379895762944 2677382733312 3059865980928 3569843644416 4759791525888 5354765466624 6119731961856 7139687288832 10709530933248 14279374577664 21419061866496 42838123732992
- Sum of all divisors σ(n): 151892397296640
- Sum of proper divisors (its aliquot sum) s(n): 109054273563648
- 42838123732992 is an abundant number, because the sum of its proper divisors (109054273563648) is greater than itself. Its abundance is 66216149830656
Bases of 42838123732992
- Binary: 10011011110110000001110010010111100000000000002
- Hexadecimal: 0x26F60725E000
- Base-36: F6NK8TMO0
Squares and roots of 42838123732992
- 42838123732992 squared (428381237329922) is 1835104844963132445309272064
- 42838123732992 cubed (428381237329923) is 78612448411543768676665747070229820735488
-
The
square root of 42838123732992 is 6545083.9362831703 -
The
cube root of 42838123732992 is 34989.9627634453
Scales and comparisons
How big is 42838123732992?- 42,838,123,732,992 seconds is equal to 1,362,119 years, 43 weeks, 6 hours, 43 minutes, 12 seconds.
-
To count from 1 to 42,838,123,732,992 would take you about three million, four hundred five thousand, two hundred ninety-nine 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 42838123732992 cubic inches would be around 2915.8 feet tall.
Recreational maths with 42838123732992
- 42838123732992 backwards is 29923732183824
- 42838123732992 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42838123732992's digits is 63
- More coming soon!
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"Number 42838123732992 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 42838123732992 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/42838123732992/
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The information we have on file for 42838123732992 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 42838123732992, math, Factors of 42838123732992, curriculum, school, college, exams, university, Prime factorization of 42838123732992, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, eight hundred thirty-eight billion, one hundred twenty-three million, seven hundred thirty-two thousand, nine hundred ninety-two.