42668374152096
42,668,374,152,096 is an even composite number composed of nine prime numbers multiplied together.
What does the number 42668374152096 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 2304 divisors.
42668374152096 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 42668374152096:
25 × 32 × 7 × 11 × 17 × 29 × 37 × 313 × 337
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 17 × 29 × 37 × 313 × 337)See below for interesting mathematical facts about the number 42668374152096 from the Numbermatics database.
Names of 42668374152096
- Cardinal: 42668374152096 can be written as Forty-two trillion, six hundred sixty-eight billion, three hundred seventy-four million, one hundred fifty-two thousand and ninety-six.
Scientific notation
- Scientific notation: 4.2668374152096 × 1013
Factors of 42668374152096
Divisors of 42668374152096
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 17 18 21 22 24 28 29 32 33 34 36 37 42 44 48 51 56 58 63 66 68 72 74 77 84 87 88 96 99 102 111 112 116 119 126 132 136 144 148 153 154 168 174 176 187 198 203 204 222 224 231 232 238 252 259 261 264 272 288 296 306 308 313 319 333 336 337 348 352 357 374 396 406 407 408 444 462 464 476 493 504 518 522 528 544 561 592 609 612 616 626 629 638 666 672 674 693 696 714 748 777 792 812 814 816 888 924 928 939 952 957 986 1008 1011 1036 1044 1056 1071 1073 1122 1184 1218 1221 1224 1232 1252 1258 1276 1309 1332 1348 1386 1392 1428 1479 1496 1554 1584 1624 1628 1632 1683 1776 1827 1848 1878 1887 1904 1914 1972 2016 2022 2072 2088 2142 2146 2191 2233 2244 2331 2359 2436 2442 2448 2464 2504 2516 2552 2618 2664 2696 2772 2784 2817 2849 2856 2871 2958 2992 3033 3108 3168 3219 3248 3256 3366 3443 3451 3552 3654 3663 3696 3707 3756 3774 3808 3828 3927 3944 4044 4144 4176 4284 4292 4382 4403 4437 4466 4488 4662 4718 4872 4884 4896 5008 5032 5104 5236 5321 5328 5392 5423 5544 5634 5661 5698 5712 5729 5742 5916 5984 6066 6216 6438 6496 6512 6573 6699 6732 6886 6902 6919 7077 7308 7326 7392 7414 7511 7512 7548 7656 7854 7888 8088 8288 8352 8547 8568 8584 8764 8806 8874 8932 8976 9077 9324 9436 9657 9744 9768 9773 10016 10064 10208 10329 10353 10472 10642 10656 10784 10846 11088 11121 11268 11322 11396 11424 11458 11484 11581 11781 11803 11832 12132 12432 12469 12876 13024 13146 13209 13398 13464 13772 13804 13838 14154 14616 14652 14828 15022 15024 15096 15312 15708 15776 15963 16176 16269 17094 17136 17168 17187 17528 17612 17748 17864 17952 18154 18241 18648 18872 19314 19488 19536 19546 19719 20097 20128 20658 20706 20757 20944 21231 21284 21692 22176 22242 22533 22536 22644 22792 22916 22968 23162 23562 23606 23664 24101 24264 24864 24938 25641 25752 25949 26292 26418 26796 26928 27231 27544 27608 27676 28308 29232 29304 29319 29656 30044 30048 30192 30624 30987 31059 31416 31926 32352 32538 33363 34188 34272 34336 34374 34743 35056 35224 35409 35496 35728 36308 36482 37247 37296 37407 37744 37961 38628 39072 39092 39438 39627 40103 40194 41316 41412 41514 41888 42462 42568 43384 44484 45066 45072 45288 45584 45832 45936 46324 47124 47212 47328 47889 48202 48433 48528 48807 49876 51282 51504 51561 51898 52584 52836 53592 53856 54462 54723 55088 55216 55352 56616 58464 58531 58608 58638 59312 60088 60384 61974 62118 62271 62832 63019 63539 63852 65076 66726 67599 68376 68411 68748 69486 70112 70448 70818 70992 71456 72303 72616 72964 74494 74592 74814 75488 75922 77256 77847 78184 78876 79254 80206 80388 81067 81693 82621 82632 82824 83028 84924 85136 86768 87283 87957 88968 90132 90144 90576 91168 91664 91872 92648 94248 94424 95778 96404 96866 97056 97614 99752 99847 102564 103008 103122 103796 104229 105168 105481 105672 106227 107184 107503 108924 109446 110176 110432 110704 111741 112221 113232 113883 117062 117216 117276 118624 120176 120309 123948 124236 124542 125664 126038 127078 127391 127687 127704 130152 133452 135198 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2509904361888 2666773384506 3047741010864 3555697846008 3878943104736 4740930461344 5333546769012 6095482021728 7111395692016 10667093538024 14222791384032 21334187076048 42668374152096
- Sum of all divisors σ(n): 171229598991360
- Sum of proper divisors (its aliquot sum) s(n): 128561224839264
- 42668374152096 is an abundant number, because the sum of its proper divisors (128561224839264) is greater than itself. Its abundance is 85892850687168
Bases of 42668374152096
- Binary: 10011011001110100000010100100011010011101000002
- Hexadecimal: 0x26CE8148D3A0
- Base-36: F4HKWAZS0
Squares and roots of 42668374152096
- 42668374152096 squared (426683741520962) is 1820590152783254046941193216
- 42668374152096 cubed (426683741520963) is 77681621816577504489622195670118507380736
-
The
square root of 42668374152096 is 6532103.3482405957 -
The
cube root of 42668374152096 is 34943.6847163325
Scales and comparisons
How big is 42668374152096?- 42,668,374,152,096 seconds is equal to 1,356,722 years, 16 weeks, 3 days, 1 hour, 21 minutes, 36 seconds.
-
To count from 1 to 42,668,374,152,096 would take you about three million, three hundred ninety-one thousand, eight hundred five 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 42668374152096 cubic inches would be around 2912 feet tall.
Recreational maths with 42668374152096
- 42668374152096 backwards is 69025147386624
- 42668374152096 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42668374152096's digits is 63
- More coming soon!
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The information we have on file for 42668374152096 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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