42084063168
42,084,063,168 is an even composite number composed of six prime numbers multiplied together.
What does the number 42084063168 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 336 divisors.
42084063168 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 42084063168:
26 × 3 × 72 × 29 × 73 × 2113
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 29 × 73 × 2113)See below for interesting mathematical facts about the number 42084063168 from the Numbermatics database.
Names of 42084063168
- Cardinal: 42084063168 can be written as Forty-two billion, eighty-four million, sixty-three thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 4.2084063168 × 1010
Factors of 42084063168
Divisors of 42084063168
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 49 56 58 64 73 84 87 96 98 112 116 146 147 168 174 192 196 203 219 224 232 292 294 336 348 392 406 438 448 464 511 584 588 609 672 696 784 812 876 928 1022 1168 1176 1218 1344 1392 1421 1533 1568 1624 1752 1856 2044 2113 2117 2336 2352 2436 2784 2842 3066 3136 3248 3504 3577 4088 4226 4234 4263 4672 4704 4872 5568 5684 6132 6339 6351 6496 7008 7154 8176 8452 8468 8526 9408 9744 10731 11368 12264 12678 12702 12992 14016 14308 14791 14819 16352 16904 16936 17052 19488 21462 22736 24528 25356 25404 28616 29582 29638 32704 33808 33872 34104 38976 42924 44373 44457 45472 49056 50712 50808 57232 59164 59276 61277 67616 67744 68208 85848 88746 88914 90944 98112 101424 101616 103537 103733 114464 118328 118552 122554 135232 135488 136416 154249 171696 177492 177828 183831 202848 203232 207074 207466 228928 236656 237104 245108 272832 308498 310611 311199 343392 354984 355656 367662 405696 406464 414148 414932 428939 462747 473312 474208 490216 616996 621222 622398 686784 709968 711312 735324 828296 829864 857878 925494 946624 948416 980432 1079743 1233992 1242444 1244796 1286817 1419936 1422624 1470648 1656592 1659728 1715756 1850988 1960864 2159486 2467984 2484888 2489592 2573634 2839872 2845248 2941296 3002573 3239229 3313184 3319456 3431512 3701976 3921728 4318972 4473221 4935968 4969776 4979184 5147268 5882592 6005146 6478458 6626368 6638912 6863024 7403952 7558201 8637944 8946442 9007719 9871936 9939552 9958368 10294536 11765184 12010292 12956916 13419663 13726048 14807904 15116402 17275888 17892884 18015438 19879104 19916736 20589072 22674603 24020584 25913832 26839326 27452096 29615808 30232804 31312547 34551776 35785768 36030876 41178144 45349206 48041168 51827664 53678652 60465608 62625094 69103552 71571536 72061752 82356288 90698412 93937641 96082336 103655328 107357304 120931216 125250188 143143072 144123504 181396824 187875282 192164672 207310656 214714608 219187829 241862432 250500376 286286144 288247008 362793648 375750564 429429216 438375658 483724864 501000752 576494016 657563487 725587296 751501128 858858432 876751316 1002001504 1315126974 1451174592 1503002256 1753502632 2004003008 2630253948 3006004512 3507005264 5260507896 6012009024 7014010528 10521015792 14028021056 21042031584 42084063168
- Sum of all divisors σ(n): 135892824480
- Sum of proper divisors (its aliquot sum) s(n): 93808761312
- 42084063168 is an abundant number, because the sum of its proper divisors (93808761312) is greater than itself. Its abundance is 51724698144
Bases of 42084063168
- Binary: 1001110011000110011111010111110000002
- Hexadecimal: 0x9CC67D7C0
- Base-36: JBZRIYO
Squares and roots of 42084063168
- 42084063168 squared (420840631682) is 1771068372728214196224
- 42084063168 cubed (420840631683) is 74533753272741134729725163077632
-
The
square root of 42084063168 is 205144.0059275435 -
The
cube root of 42084063168 is 3478.3441931241
Scales and comparisons
How big is 42084063168?- 42,084,063,168 seconds is equal to 1,338 years, 7 weeks, 3 days, 1 hour, 32 minutes, 48 seconds.
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To count from 1 to 42,084,063,168 would take you about two thousand, six 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 42084063168 cubic inches would be around 289.9 feet tall.
Recreational maths with 42084063168
- 42084063168 backwards is 86136048024
- 42084063168 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 42084063168's digits is 42
- More coming soon!
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