42378191938368
42,378,191,938,368 is an even composite number composed of eight prime numbers multiplied together.
What does the number 42378191938368 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1792 divisors.
42378191938368 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 42378191938368:
26 × 33 × 11 × 13 × 17 × 29 × 233 × 1493
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 13 × 17 × 29 × 233 × 1493)See below for interesting mathematical facts about the number 42378191938368 from the Numbermatics database.
Names of 42378191938368
- Cardinal: 42378191938368 can be written as Forty-two trillion, three hundred seventy-eight billion, one hundred ninety-one million, nine hundred thirty-eight thousand, three hundred sixty-eight.
Scientific notation
- Scientific notation: 4.2378191938368 × 1013
Factors of 42378191938368
Divisors of 42378191938368
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 17 18 22 24 26 27 29 32 33 34 36 39 44 48 51 52 54 58 64 66 68 72 78 87 88 96 99 102 104 108 116 117 132 136 143 144 153 156 174 176 187 192 198 204 208 216 221 232 233 234 261 264 272 286 288 297 306 312 319 348 351 352 374 377 396 408 416 429 432 442 459 464 466 468 493 522 528 544 561 572 576 594 612 624 638 663 696 699 702 704 748 754 783 792 816 832 858 864 884 918 928 932 936 957 986 1044 1056 1088 1122 1131 1144 1188 1224 1248 1276 1287 1326 1392 1398 1404 1479 1493 1496 1508 1566 1584 1632 1683 1716 1728 1768 1836 1856 1864 1872 1914 1972 1989 2088 2097 2112 2244 2262 2288 2376 2431 2448 2496 2552 2563 2574 2652 2784 2796 2808 2871 2958 2986 2992 3016 3029 3132 3168 3264 3366 3393 3432 3536 3672 3728 3744 3828 3861 3944 3961 3978 4147 4176 4194 4437 4479 4488 4524 4576 4752 4862 4896 5049 5104 5126 5148 5304 5423 5568 5592 5616 5742 5916 5967 5972 5984 6032 6058 6264 6291 6336 6409 6732 6757 6786 6864 7072 7293 7344 7456 7488 7656 7689 7722 7888 7922 7956 8294 8352 8388 8613 8874 8958 8976 9048 9087 9152 9504 9724 9792 10098 10179 10208 10252 10296 10608 10846 11184 11232 11484 11832 11883 11934 11944 11968 12064 12116 12441 12528 12582 12818 13311 13437 13464 13514 13572 13728 14144 14586 14688 14912 15312 15378 15444 15776 15844 15912 16269 16423 16588 16704 16776 17226 17748 17916 17952 18096 18174 19008 19227 19409 19448 20196 20271 20358 20416 20504 20592 21216 21692 21879 22368 22464 22968 23067 23664 23766 23868 23888 24128 24232 24882 25056 25164 25381 25636 26622 26874 26928 27028 27144 27261 27456 29172 29376 30624 30756 30888 31552 31688 31824 32538 32846 33176 33319 33552 34452 35496 35649 35832 35904 36192 36348 37323 38454 38818 38896 40311 40392 40542 40716 41008 41184 42432 43297 43384 43571 43758 44736 45936 46134 47328 47532 47736 47776 48464 48807 49269 49764 50112 50328 50762 51272 51493 53244 53748 53856 54056 54288 54522 57681 58227 58344 60813 61248 61512 61776 63376 63648 65076 65637 65692 66352 66638 67104 68904 69201 70499 70992 71298 71664 72384 72696 74327 74646 76143 76908 77636 77792 80622 80784 81084 81432 81783 82016 82368 86594 86768 87142 87516 87841 91872 92268 94656 95064 95472 95552 96928 97614 98538 99528 99957 100656 101524 102544 102986 106488 106947 107496 107712 108112 108576 109044 111969 114869 115362 116454 116688 121626 123024 123552 126752 127296 129891 130152 130713 131274 131384 132704 133276 134208 137808 138402 140998 141984 142596 143328 145392 146421 147807 148654 149292 152286 153816 154479 155272 155584 161244 161568 162168 162864 163566 164032 173043 173188 173536 174284 174681 175032 175682 182439 183744 184536 190128 190944 193856 195228 197076 199056 199914 201312 203048 205088 205972 211497 212976 213499 213894 214992 216224 217152 218088 222981 223938 228429 229738 230724 232908 233376 243252 246048 247104 253504 259782 260304 261426 262548 262768 263523 265408 266552 275616 276804 279191 281996 283968 285192 286656 290784 292842 295614 297308 298584 299871 304572 307632 308958 310544 322488 323136 324336 325728 327132 329953 344607 346086 346376 347072 347869 348568 349362 350064 351364 364878 369072 380256 381888 389673 390456 392139 394152 398112 399828 402624 406096 410176 411944 422994 425952 426998 427788 429984 432448 436176 443421 445962 447876 456858 459476 461448 463437 465816 466752 476267 486504 492096 519564 520608 522852 524043 525096 525536 527046 533104 551232 553608 558382 562861 563992 566423 570384 581568 585684 591228 594616 597168 599742 609144 615264 617916 621088 634491 640497 644976 648672 651456 654264 659906 668943 685287 689214 692172 692752 695738 697136 698724 700128 702728 729756 736049 738144 760512 779346 780912 784278 788304 790569 796224 799656 812192 823888 837573 845988 851904 853996 855576 859968 872352 886842 891924 895752 899613 913716 918952 922896 926874 931632 952534 966251 973008 989859 1033821 1039128 1041216 1043607 1045704 1048086 1050192 1051072 1054092 1066208 1107216 1116764 1125722 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174215184 181587618 181952496 183674832 184463136 185520192 189240736 190052928 194316936 195154509 195992082 197115204 198127072 198493632 198981068 200372544 205747344 206634186 208710216 210510014 211982112 212895828 215034768 217070256 218606553 221940422 222892956 229647288 230637147 232286912 241221024 242116824 242603328 243155952 244204038 244694736 244899776 258353199 259089248 260206012 261322776 262293226 262820272 272381427 272928744 274329792 275512248 278280288 283861104 285079392 286713024 289427008 291475404 295672806 297190608 298471602 300558816 306196384 307516196 315765021 317973168 319343742 322552152 322822432 324207936 325605384 326259648 332910633 334339434 342998834 344470932 348430368 363175236 363904992 367349664 368926272 378481472 388633872 390309018 391984164 393439839 394230408 396254144 397962136 411494688 413268372 417420432 421020028 423964224 425791656 430069536 434140512 437213106 443509209 443880844 445785912 447707403 459294576 461274294 482442048 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20208961344 20296068936 21306280512 21489955344 22141166112 22637923044 22735081512 22833077553 23081803888 23969565576 24524416631 24695916048 25180149696 25967029374 26753909052 27061425248 28102249296 28327668408 28384589376 28653273792 30183897392 30313442016 30444103404 31959420768 32927888064 33211749168 33956884566 34622705832 35671878736 37043874072 37469665728 37770224544 38950544061 40130863578 40592137872 42979910688 44282332224 45275846088 45470163024 45666155106 46163607776 47939131152 49048833262 49391832096 50935326849 51934058748 53507818104 54122850496 56204498592 56655336816 60196295367 60367794784 60626884032 60888206808 63918841536 66423498336 67913769132 69245411664 71343757472 73573249893 74087748144 75540449088 77901088122 80261727156 81184275744 85959821376 90551692176 90940326048 91332310212 92327215552 95878262304 98097666524 98783664192 101870653698 103868117496 107015636208 112408997184 113310673632 120392590734 120735589568 121776413616 132846996672 135827538264 138490823328 142687514944 147146499786 148175496288 155802176244 160523454312 162368551488 181103384352 181880652096 182664620424 191756524608 196195333048 203741307396 207736234992 214031272416 220719749679 226621347264 240785181468 243552827232 271655076528 276981646656 294292999572 296350992576 311604352488 321046908624 362206768704 365329240848 392390666096 407482614792 415472469984 428062544832 441439499358 481570362936 487105654464 543310153056 588585999144 623208704976 642093817248 662159249037 730658481696 784781332192 814965229584 830944939968 882878998716 963140725872 1086620306112 1177171998288 1246417409952 1284187634496 1324318498074 1461316963392 1569562664384 1629930459168 1765757997432 1926281451744 2354343996576 2492834819904 2648636996148 3259860918336 3531515994864 3852562903488 4708687993152 5297273992296 7063031989728 10594547984592 14126063979456 21189095969184 42378191938368
- Sum of all divisors σ(n): 161113973529600
- Sum of proper divisors (its aliquot sum) s(n): 118735781591232
- 42378191938368 is an abundant number, because the sum of its proper divisors (118735781591232) is greater than itself. Its abundance is 76357589652864
Bases of 42378191938368
- Binary: 10011010001010111100010001001110100011010000002
- Hexadecimal: 0x268AF113A340
- Base-36: F0S9TB2O0
Squares and roots of 42378191938368
- 42378191938368 squared (423781919383682) is 1795911151965158545110503424
- 42378191938368 cubed (423781919383683) is 76107467502235070017216923866678860972032
-
The
square root of 42378191938368 is 6509853.4498380223 -
The
cube root of 42378191938368 is 34864.2885963019
Scales and comparisons
How big is 42378191938368?- 42,378,191,938,368 seconds is equal to 1,347,495 years, 21 weeks, 5 days, 14 hours, 52 minutes, 48 seconds.
-
To count from 1 to 42,378,191,938,368 would take you about three million, three hundred sixty-eight thousand, seven hundred thirty-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 42378191938368 cubic inches would be around 2905.4 feet tall.
Recreational maths with 42378191938368
- 42378191938368 backwards is 86383919187324
- 42378191938368 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42378191938368's digits is 72
- More coming soon!
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MLA style:
"Number 42378191938368 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 42378191938368 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/42378191938368/
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Numbermatics. 2024. "Number 42378191938368 - Facts about the integer". https://numbermatics.com/n/42378191938368/
The information we have on file for 42378191938368 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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