42345966993408
42,345,966,993,408 is an even composite number composed of four prime numbers multiplied together.
42345966993408 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 42345966993408:
217 × 35 × 132 × 7867
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 7867)See below for interesting mathematical facts about the number 42345966993408 from the Numbermatics database.
Names of 42345966993408
- Cardinal: 42345966993408 can be written as Forty-two trillion, three hundred forty-five billion, nine hundred sixty-six million, nine hundred ninety-three thousand, four hundred eight.
Scientific notation
- Scientific notation: 4.2345966993408 × 1013
Factors of 42345966993408
Divisors of 42345966993408
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 169 192 208 216 234 243 256 288 312 324 338 351 384 416 432 468 486 507 512 576 624 648 676 702 768 832 864 936 972 1014 1024 1053 1152 1248 1296 1352 1404 1521 1536 1664 1728 1872 1944 2028 2048 2106 2304 2496 2592 2704 2808 3042 3072 3159 3328 3456 3744 3888 4056 4096 4212 4563 4608 4992 5184 5408 5616 6084 6144 6318 6656 6912 7488 7776 7867 8112 8192 8424 9126 9216 9984 10368 10816 11232 12168 12288 12636 13312 13689 13824 14976 15552 15734 16224 16384 16848 18252 18432 19968 20736 21632 22464 23601 24336 24576 25272 26624 27378 27648 29952 31104 31468 32448 32768 33696 36504 36864 39936 41067 41472 43264 44928 47202 48672 49152 50544 53248 54756 55296 59904 62208 62936 64896 65536 67392 70803 73008 73728 79872 82134 82944 86528 89856 94404 97344 98304 101088 102271 106496 109512 110592 119808 124416 125872 129792 131072 134784 141606 146016 147456 159744 164268 165888 173056 179712 188808 194688 196608 202176 204542 212409 212992 219024 221184 239616 248832 251744 259584 269568 283212 292032 294912 306813 319488 328536 331776 346112 359424 377616 389376 393216 404352 409084 424818 425984 438048 442368 479232 497664 503488 519168 539136 566424 584064 589824 613626 637227 638976 657072 663552 692224 718848 755232 778752 808704 818168 849636 851968 876096 884736 920439 958464 995328 1006976 1038336 1078272 1132848 1168128 1179648 1227252 1274454 1277952 1314144 1327104 1329523 1384448 1437696 1510464 1557504 1617408 1636336 1699272 1703936 1752192 1769472 1840878 1911681 1916928 1990656 2013952 2076672 2156544 2265696 2336256 2454504 2548908 2555904 2628288 2654208 2659046 2761317 2768896 2875392 3020928 3115008 3234816 3272672 3398544 3504384 3538944 3681756 3823362 3833856 3981312 3988569 4027904 4153344 4313088 4531392 4672512 4909008 5097816 5111808 5256576 5308416 5318092 5522634 5537792 5750784 6041856 6230016 6469632 6545344 6797088 7008768 7363512 7646724 7667712 7962624 7977138 8055808 8283951 8306688 8626176 9062784 9345024 9818016 10195632 10513152 10616832 10636184 11045268 11075584 11501568 11965707 12083712 12460032 12939264 13090688 13594176 14017536 14727024 15293448 15335424 15925248 15954276 16111616 16567902 16613376 17252352 18125568 18690048 19636032 20391264 21026304 21272368 22090536 22151168 23003136 23931414 24167424 24851853 24920064 25878528 26181376 27188352 28035072 29454048 30586896 31850496 31908552 32223232 33135804 33226752 34504704 35897121 36251136 37380096 39272064 40782528 42052608 42544736 44181072 46006272 47862828 48334848 49703706 49840128 51757056 52362752 54376704 56070144 58908096 61173792 63817104 64446464 66271608 66453504 69009408 71794242 72502272 74760192 78544128 81565056 84105216 85089472 88362144 95725656 96669696 99407412 99680256 103514112 104725504 107691363 108753408 112140288 117816192 122347584 127634208 128892928 132543216 138018816 143588484 145004544 149520384 157088256 163130112 168210432 170178944 176724288 191451312 193339392 198814824 199360512 207028224 209451008 215382726 217506816 224280576 235632384 244695168 255268416 257785856 265086432 287176968 290009088 299040768 314176512 323074089 326260224 336420864 340357888 353448576 382902624 386678784 397629648 414056448 418902016 430765452 435013632 448561152 471264768 489390336 510536832 515571712 530172864 574353936 580018176 598081536 628353024 646148178 652520448 672841728 680715776 706897152 765805248 773357568 795259296 837804032 861530904 870027264 897122304 942529536 978780672 1021073664 1031143424 1060345728 1148707872 1160036352 1256706048 1292296356 1305040896 1345683456 1361431552 1413794304 1531610496 1546715136 1590518592 1675608064 1723061808 1740054528 1794244608 1885059072 1957561344 2042147328 2120691456 2297415744 2320072704 2513412096 2584592712 2610081792 2691366912 2722863104 2827588608 3063220992 3093430272 3181037184 3351216128 3446123616 3480109056 3770118144 3915122688 4084294656 4241382912 4594831488 4640145408 5026824192 5169185424 5220163584 5382733824 5445726208 5655177216 6126441984 6362074368 6702432256 6892247232 6960218112 7540236288 7830245376 8168589312 8482765824 9189662976 9280290816 10053648384 10338370848 10440327168 10891452416 11310354432 12252883968 12724148736 13404864512 13784494464 13920436224 15080472576 15660490752 16337178624 16965531648 18379325952 20107296768 20676741696 20880654336 21782904832 22620708864 24505767936 25448297472 27568988928 27840872448 30160945152 31320981504 32674357248 33931063296 36758651904 40214593536 41353483392 41761308672 43565809664 45241417728 49011535872 50896594944 55137977856 60321890304 62641963008 65348714496 67862126592 73517303808 82706966784 83522617344 87131619328 90482835456 98023071744 101793189888 110275955712 120643780608 125283926016 130697428992 135724253184 147034607616 165413933568 174263238656 180965670912 196046143488 203586379776 220551911424 250567852032 261394857984 271448506368 294069215232 330827867136 361931341824 392092286976 407172759552 441103822848 522789715968 542897012736 588138430464 661655734272 784184573952 814345519104 882207645696 1085794025472 1176276860928 1323311468544 1568369147904 1628691038208 1764415291392 2352553721856 2646622937088 3257382076416 3528830582784 4705107443712 5293245874176 7057661165568 10586491748352 14115322331136 21172983496704 42345966993408
- Sum of all divisors σ(n): 137389989351888
- Sum of proper divisors (its aliquot sum) s(n): 95044022358480
- 42345966993408 is an abundant number, because the sum of its proper divisors (95044022358480) is greater than itself. Its abundance is 52698055365072
Bases of 42345966993408
- Binary: 10011010000011011100000101001000000000000000002
- Hexadecimal: 0x268370520000
- Base-36: F0DGVEO00
Squares and roots of 42345966993408
- 42345966993408 squared (423459669934082) is 1793180920606799771115454464
- 42345966993408 cubed (423459669934083) is 75933980077224514454622563831353612173312
-
The
square root of 42345966993408 is 6507377.8892429475 -
The
cube root of 42345966993408 is 34855.4492646803
Scales and comparisons
How big is 42345966993408?- 42,345,966,993,408 seconds is equal to 1,346,470 years, 39 weeks, 5 days, 17 hours, 16 minutes, 48 seconds.
-
To count from 1 to 42,345,966,993,408 would take you about three million, three hundred sixty-six thousand, one hundred seventy-six 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 42345966993408 cubic inches would be around 2904.6 feet tall.
Recreational maths with 42345966993408
- 42345966993408 backwards is 80439966954324
- 42345966993408 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42345966993408's digits is 72
- More coming soon!
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