38442393679872
38,442,393,679,872 is an even composite number composed of six prime numbers multiplied together.
38442393679872 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 38442393679872:
211 × 3 × 73 × 133 × 192 × 23
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 13 × 13 × 13 × 19 × 19 × 23)See below for interesting mathematical facts about the number 38442393679872 from the Numbermatics database.
Names of 38442393679872
- Cardinal: 38442393679872 can be written as Thirty-eight trillion, four hundred forty-two billion, three hundred ninety-three million, six hundred seventy-nine thousand, eight hundred seventy-two.
Scientific notation
- Scientific notation: 3.8442393679872 × 1013
Factors of 38442393679872
Divisors of 38442393679872
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 19 21 23 24 26 28 32 38 39 42 46 48 49 52 56 57 64 69 76 78 84 91 92 96 98 104 112 114 128 133 138 147 152 156 161 168 169 182 184 192 196 208 224 228 247 256 266 273 276 294 299 304 312 322 336 338 343 361 364 368 384 392 399 416 437 448 456 483 494 507 512 532 546 552 588 598 608 624 637 644 672 676 686 722 728 736 741 768 784 798 832 874 896 897 912 931 966 988 1014 1024 1029 1064 1083 1092 1104 1127 1176 1183 1196 1216 1248 1274 1288 1311 1344 1352 1372 1444 1456 1472 1482 1536 1568 1596 1664 1729 1748 1792 1794 1824 1862 1911 1932 1976 2028 2048 2058 2093 2128 2166 2184 2197 2208 2254 2352 2366 2392 2432 2496 2527 2548 2576 2622 2688 2704 2744 2793 2888 2912 2944 2964 3059 3072 3136 3192 3211 3328 3381 3458 3496 3549 3584 3588 3648 3724 3822 3864 3887 3952 4056 4116 4186 4256 4332 4368 4394 4416 4459 4508 4693 4704 4732 4784 4864 4992 5054 5096 5152 5187 5244 5376 5408 5488 5586 5681 5776 5824 5888 5928 6118 6144 6272 6279 6384 6422 6517 6591 6656 6762 6916 6992 7098 7168 7176 7296 7448 7581 7644 7728 7774 7889 7904 8112 8232 8281 8303 8372 8512 8664 8736 8788 8832 8918 9016 9177 9386 9408 9464 9568 9633 9728 9984 10108 10192 10304 10374 10488 10752 10816 10976 11172 11362 11552 11648 11661 11776 11856 12103 12236 12544 12558 12768 12844 13034 13182 13312 13377 13524 13832 13984 14079 14196 14336 14352 14592 14651 14896 15162 15288 15379 15456 15548 15778 15808 16224 16464 16562 16606 16744 17024 17043 17328 17472 17576 17664 17689 17836 18032 18354 18772 18816 18928 19136 19266 19456 19551 19968 20216 20384 20608 20748 20976 21413 21504 21632 21952 22344 22477 22724 23104 23296 23322 23552 23667 23712 24206 24472 24843 24909 25088 25116 25536 25688 26068 26364 26624 26754 27048 27209 27664 27968 28158 28392 28704 29184 29302 29792 30324 30576 30758 30912 31096 31556 31616 32448 32851 32928 33124 33212 33488 34048 34086 34656 34944 35152 35328 35378 35672 36064 36309 36708 37544 37632 37856 38272 38532 38912 39102 39767 39936 40432 40768 41216 41496 41743 41952 42826 43008 43264 43904 43953 44688 44954 45448 46137 46208 46592 46644 47104 47334 47424 48412 48944 49686 49818 50176 50232 50531 51072 51376 52136 52728 53067 53508 54096 54418 55328 55936 56316 56784 57408 57967 58121 58368 58604 59584 60648 61009 61152 61516 61824 62192 63112 63232 64239 64896 65702 65856 66248 66424 66976 67431 68096 68172 69312 69888 70304 70656 70756 71344 72128 72618 73416 73853 75088 75264 75712 76544 77064 78204 79534 79872 80864 81536 81627 82432 82992 83486 83904 84721 85652 86528 87808 87906 89376 89908 90896 92274 92416 93184 93288 94668 94848 96824 97888 98553 99372 99636 100352 100464 101062 102144 102557 102752 104272 105456 106134 107016 107653 107939 108192 108836 110656 111872 112632 113568 114816 115934 116242 116736 117208 119168 119301 121296 122018 122304 123032 123648 123823 124384 125229 126224 126464 128478 129792 131404 131712 132496 132848 133952 134862 136192 136344 138624 139776 140608 141312 141512 142688 144256 145236 146832 147706 149891 150176 150528 151424 151593 153088 154128 156408 157339 159068 161728 163072 163254 164864 165984 166972 167808 169442 171304 173056 173901 174363 175616 175812 178752 179816 181792 183027 184548 184832 186368 186576 189336 189696 190463 193648 195776 197106 198744 199272 200928 202124 204288 205114 205504 208544 210912 212268 214032 215306 215878 216384 217672 221312 221559 223744 225264 227136 229632 229957 231868 232484 234416 238336 238602 242592 244036 244608 246064 247296 247646 248768 250458 252448 252928 254163 256956 259584 262808 263424 264992 265696 267904 269724 272384 272688 277248 278369 279552 281216 283024 285376 288512 290472 292201 293664 295412 299782 300352 301056 302848 303186 306176 307671 308256 312816 314678 318136 322959 323456 323817 326144 326508 329728 331968 333944 335616 338884 342608 346112 347802 348726 351232 351624 353717 357504 359632 363584 366054 369096 369664 371469 373152 378672 379392 380926 387296 391552 394212 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73137792 74046154 74360832 74803456 75625472 75994737 76139232 76744192 77265552 77615616 77725466 78114624 78579592 78763776 79232608 80557568 80647476 81442816 81996096 82677504 82897152 83586048 83704348 84624176 85327424 85489664 85907094 86754304 86851128 88303488 88829104 89037312 89273856 89805248 90015744 90551552 91133728 92168544 93531984 93709824 94088722 94488576 95096064 95662112 96457088 96713344 97517056 98179536 99258432 100918272 101326316 101518976 103020736 103487488 103992798 104152832 105018368 105731808 106893696 107529968 108681216 109328128 109450146 110236672 110529536 111069231 112205184 113438208 114542792 115116288 115801504 116588199 117737984 117869388 118716416 118848912 119031808 120836352 122164224 122891392 124709312 124946432 125556522 126794752 126936264 127691837 127991136 128234496 130131456 130906048 131561472 132344576 133243656 134707872 135827328 136700592 137514286 138098688 138657064 140975744 141133083 142524928 143493168 144685632 145070016 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1547413504 1570872576 1588134912 1621221056 1624303616 1632234786 1648331776 1650171432 1663884768 1691708928 1710299136 1720479488 1751202336 1777107696 1787685718 1795282944 1832684672 1852824064 1865411184 1885910208 1901582592 1925200004 1966262272 1975863162 1995348992 2008904352 2030980224 2043069392 2047858176 2094496768 2131898496 2155325952 2173237248 2176313048 2187209472 2200228576 2218513024 2255611904 2258129328 2295890688 2314970112 2321120256 2334936448 2369476928 2431831584 2436455424 2472497664 2487214912 2499667968 2514546944 2535443456 2580719232 2623875072 2634484216 2678539136 2681528577 2707973632 2730477568 2749027008 2779236096 2842531328 2873767936 2887800006 2916279296 2949393408 2993023488 3010839104 3061187584 3064604088 3141745152 3176269824 3242442112 3264469572 3296663552 3300342864 3327769536 3383417856 3440958976 3502404672 3554215392 3575371436 3665369344 3705648128 3730822368 3771820416 3803165184 3850400008 3951726324 3990697984 4017808704 4061960448 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13311078144 13763835904 14009618688 14216861568 14301485744 14661477376 14923289472 15087281664 15212660736 15401600032 15806905296 16071234816 16247841792 16344555136 17055187968 17410504384 17497675776 17601828608 17748104192 18065034624 18367125504 18679491584 18770700039 18955815424 19454652672 19897719296 20116375552 20645753856 21075873728 21428313088 21452228616 21992216064 22233888768 23102400048 24086712832 24516832704 25027600052 25939536896 26115756576 26402742912 26622156288 28019237376 28433723136 28602971488 29322954752 29846578944 30174563328 30803200064 31613810592 32142469632 32495683584 32689110272 34110375936 34821008768 35203657216 35496208384 36130069248 37358983168 37541400078 37911630848 38909305344 39795438592 41291507712 42151747456 42856626176 42904457232 43984432128 46204800096 48173425664 49033665408 50055200104 51879073792 52231513152 52805485824 53244312576 56038474752 56867446272 57205942976 59693157888 60349126656 61606400128 63227621184 64284939264 65378220544 69642017536 70407314432 72260138496 75082800156 75823261696 77818610688 79590877184 84303494912 85808914464 87968864256 92409600192 96346851328 98067330816 100110400208 104463026304 105610971648 106488625152 112076949504 113734892544 114411885952 119386315776 123212800256 126455242368 128569878528 130756441088 139284035072 140814628864 144520276992 150165600312 155637221376 168606989824 171617828928 184819200384 196134661632 200220800416 208926052608 211221943296 227469785088 228823771904 238772631552 246425600512 252910484736 261512882176 278568070144 289040553984 300331200624 337213979648 343235657856 369638400768 392269323264 400441600832 417852105216 422443886592 457647543808 492851201024 505820969472 557136140288 600662401248 674427959296 686471315712 739276801536 784538646528 800883201664 835704210432 915295087616 985702402048 1011641938944 1201324802496 1372942631424 1478553603072 1601766403328 1671408420864 1830590175232 2023283877888 2402649604992 2745885262848 2957107206144 3203532806656 4805299209984 5491770525696 6407065613312 9610598419968 12814131226624 19221196839936 38442393679872
- Sum of all divisors σ(n): 142589341440000
- Sum of proper divisors (its aliquot sum) s(n): 104146947760128
- 38442393679872 is an abundant number, because the sum of its proper divisors (104146947760128) is greater than itself. Its abundance is 65704554080256
Bases of 38442393679872
- Binary: 10001011110110100100010011100000111000000000002
- Hexadecimal: 0x22F691383800
- Base-36: DMK6WN6DC
Squares and roots of 38442393679872
- 38442393679872 squared (384423936798722) is 1477817631838262689617936384
- 38442393679872 cubed (384423936798723) is 56810847190182635744673061638652557262848
-
The
square root of 38442393679872 is 6200193.0356942921 -
The
cube root of 38442393679872 is 33749.7173982363
Scales and comparisons
How big is 38442393679872?- 38,442,393,679,872 seconds is equal to 1,222,349 years, 10 weeks, 6 days, 51 minutes, 12 seconds.
-
To count from 1 to 38,442,393,679,872 would take you about three million, fifty-five thousand, eight hundred seventy-three 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 38442393679872 cubic inches would be around 2812.5 feet tall.
Recreational maths with 38442393679872
- 38442393679872 backwards is 27897639324483
- The number of decimal digits it has is: 14
- The sum of 38442393679872's digits is 75
- More coming soon!
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The information we have on file for 38442393679872 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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