42138746496
42,138,746,496 is an even composite number composed of six prime numbers multiplied together.
42138746496 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 42138746496:
27 × 32 × 7 × 11 × 29 × 16381
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 29 × 16381)See below for interesting mathematical facts about the number 42138746496 from the Numbermatics database.
Names of 42138746496
- Cardinal: 42138746496 can be written as Forty-two billion, one hundred thirty-eight million, seven hundred forty-six thousand, four hundred ninety-six.
Scientific notation
- Scientific notation: 4.2138746496 × 1010
Factors of 42138746496
Divisors of 42138746496
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 29 32 33 36 42 44 48 56 58 63 64 66 72 77 84 87 88 96 99 112 116 126 128 132 144 154 168 174 176 192 198 203 224 231 232 252 261 264 288 308 319 336 348 352 384 396 406 448 462 464 504 522 528 576 609 616 638 672 693 696 704 792 812 896 924 928 957 1008 1044 1056 1152 1218 1232 1276 1344 1386 1392 1408 1584 1624 1827 1848 1856 1914 2016 2088 2112 2233 2436 2464 2552 2688 2772 2784 2871 3168 3248 3654 3696 3712 3828 4032 4176 4224 4466 4872 4928 5104 5544 5568 5742 6336 6496 6699 7308 7392 7656 8064 8352 8932 9744 9856 10208 11088 11136 11484 12672 12992 13398 14616 14784 15312 16381 16704 17864 19488 20097 20416 22176 22968 25984 26796 29232 29568 30624 32762 33408 35728 38976 40194 40832 44352 45936 49143 53592 58464 61248 65524 71456 77952 80388 88704 91872 98286 107184 114667 116928 122496 131048 142912 147429 160776 180191 183744 196572 214368 229334 233856 262096 285824 294858 321552 344001 360382 367488 393144 428736 458668 475049 524192 540573 589716 643104 688002 720764 786288 857472 917336 950098 1032003 1048384 1081146 1179432 1261337 1286208 1376004 1425147 1441528 1572576 1621719 1834672 1900196 2064006 2096768 2162292 2358864 2522674 2572416 2752008 2850294 2883056 3145152 3243438 3325343 3669344 3784011 3800392 4128012 4275441 4324584 4717728 5045348 5225539 5504016 5700588 5766112 6290304 6486876 6650686 7338688 7568022 7600784 8256024 8550882 8649168 9435456 9976029 10090696 10451078 11008032 11352033 11401176 11532224 12973752 13301372 14677376 15136044 15201568 15676617 16512048 17101764 17298336 18870912 19952058 20181392 20902156 22016064 22704066 22802352 23064448 25947504 26602744 29928087 30272088 30403136 31353234 33024096 34203528 34596672 36578773 39904116 40362784 41804312 44032128 45408132 45604704 47029851 51895008 53205488 59856174 60544176 60806272 62706468 66048192 68407056 69193344 73157546 79808232 80725568 83608624 90816264 91209408 94059702 103790016 106410976 109736319 119712348 121088352 125412936 132096384 136814112 146315092 159616464 161451136 167217248 181632528 182418816 188119404 207580032 212821952 219472638 239424696 242176704 250825872 273628224 292630184 319232928 329208957 334434496 363265056 376238808 425643904 438945276 478849392 484353408 501651744 547256448 585260368 638465856 658417914 668868992 726530112 752477616 877890552 957698784 1003303488 1170520736 1276931712 1316835828 1453060224 1504955232 1755781104 1915397568 2006606976 2341041472 2633671656 3009910464 3511562208 3830795136 4682082944 5267343312 6019820928 7023124416 10534686624 14046248832 21069373248 42138746496
- Sum of all divisors σ(n): 156402230400
- Sum of proper divisors (its aliquot sum) s(n): 114263483904
- 42138746496 is an abundant number, because the sum of its proper divisors (114263483904) is greater than itself. Its abundance is 72124737408
Bases of 42138746496
- Binary: 1001110011111010101000111110100000002
- Hexadecimal: 0x9CFAA3E80
- Base-36: JCWBKW0
Squares and roots of 42138746496
- 42138746496 squared (421387464962) is 1775673956254152278016
- 42138746496 cubed (421387464963) is 74824674702143116590697137831936
-
The
square root of 42138746496 is 205277.2430056485 -
The
cube root of 42138746496 is 3479.8501084865
Scales and comparisons
How big is 42138746496?- 42,138,746,496 seconds is equal to 1,339 years, 45 weeks, 5 days, 23 hours, 21 minutes, 36 seconds.
-
To count from 1 to 42,138,746,496 would take you about two thousand, six hundred seventy-nine 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 42138746496 cubic inches would be around 290 feet tall.
Recreational maths with 42138746496
- 42138746496 backwards is 69464783124
- The number of decimal digits it has is: 11
- The sum of 42138746496's digits is 54
- More coming soon!
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