105642334129504
105,642,334,129,504 is an even composite number composed of five prime numbers multiplied together.
105642334129504 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 105642334129504:
25 × 313 × 432 × 73 × 821
(2 × 2 × 2 × 2 × 2 × 31 × 31 × 31 × 43 × 43 × 73 × 821)See below for interesting mathematical facts about the number 105642334129504 from the Numbermatics database.
Names of 105642334129504
- Cardinal: 105642334129504 can be written as One hundred five trillion, six hundred forty-two billion, three hundred thirty-four million, one hundred twenty-nine thousand, five hundred four.
Scientific notation
- Scientific notation: 1.05642334129504 × 1014
Factors of 105642334129504
Divisors of 105642334129504
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 4 8 16 31 32 43 62 73 86 124 146 172 248 292 344 496 584 688 821 961 992 1168 1333 1376 1642 1849 1922 2263 2336 2666 3139 3284 3698 3844 4526 5332 6278 6568 7396 7688 9052 10664 12556 13136 14792 15376 18104 21328 25112 25451 26272 29584 29791 30752 35303 36208 41323 42656 50224 50902 57319 59168 59582 59933 70153 70606 72416 82646 97309 100448 101804 114638 119164 119866 134977 140306 141212 165292 194618 203608 229276 238328 239732 269954 280612 282424 330584 389236 407216 458552 476656 479464 539908 561224 564848 661168 778472 788981 814432 917104 953312 958928 1079816 1094393 1122448 1129696 1281013 1322336 1518029 1556944 1577962 1776889 1834208 1857923 1917856 2159632 2174743 2188786 2244896 2562026 2577119 3016579 3036058 3113888 3155924 3553778 3715846 4184287 4319264 4349486 4377572 5124052 5154238 6033158 6072116 6311848 7107556 7431692 8368574 8698972 8755144 10248104 10308476 12066316 12144232 12623696 14215112 14863384 16737148 17397944 17510288 20496208 20616952 24132632 24288464 24458411 25247392 28430224 29726768 33474296 33926183 34795888 35020576 40992416 41233904 47058899 48265264 48576928 48916822 55083559 56860448 57595613 59453536 66948592 67852366 69591776 79890689 82467808 93513949 94117798 96530528 97833644 110167118 110816117 115191226 129712897 133897184 135704732 159781378 187027898 188235596 195667288 220334236 221632234 230382452 259425794 271409464 319562756 374055796 376471192 391334576 440668472 443264468 460764904 518851588 542818928 639125512 748111592 752942384 782669152 881336944 886528936 921529808 1037703176 1051711673 1085637856 1278251024 1458825869 1496223184 1505884768 1762673888 1773057872 1785464003 1843059616 2075406352 2103423346 2476611359 2556502048 2917651738 2992446368 3435299627 3546115744 3570928006 4021099807 4150812704 4206846692 4953222718 5835303476 6870599254 7141856012 8042199614 8413693384 9906445436 11670606952 13741198508 14283712024 16084399228 16827386768 19812890872 23341213904 27482397016 28567424048 32168798456 33654773536 39625781744 45223601939 46682427808 54964794032 57134848096 64337596912 76774952129 79251563488 90447203878 106494288437 109929588064 128675193824 153549904258 180894407756 212988576874 307099808516 361788815512 425977153748 614199617032 723577631024 851954307496 1228399234064 1447155262048 1703908614992 2456798468128 3301322941547 3407817229984 6602645883094 13205291766188 26410583532376 52821167064752 105642334129504
- Sum of all divisors σ(n): 223315954138368
- Sum of proper divisors (its aliquot sum) s(n): 117673620008864
- 105642334129504 is an abundant number, because the sum of its proper divisors (117673620008864) is greater than itself. Its abundance is 12031285879360
Bases of 105642334129504
- Binary: 110000000010100110001011100110010001101011000002
- Hexadecimal: 0x6014C5CC8D60
- Base-36: 11G3F24WV4
Squares and roots of 105642334129504
- 105642334129504 squared (1056423341295042) is 11160302760329765661443286016
- 105642334129504 cubed (1056423341295043) is 1179000433193182902821668515579352656216064
-
The
square root of 105642334129504 is 10278245.6737277885 -
The
cube root of 105642334129504 is 47272.9454363219
Scales and comparisons
How big is 105642334129504?- 105,642,334,129,504 seconds is equal to 3,359,099 years, 23 weeks, 3 days, 13 hours, 45 minutes, 4 seconds.
-
To count from 1 to 105,642,334,129,504 would take you about eight million, three hundred ninety-seven thousand, seven hundred forty-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 105642334129504 cubic inches would be around 3939.4 feet tall.
Recreational maths with 105642334129504
- 105642334129504 backwards is 405921433246501
- The number of decimal digits it has is: 15
- The sum of 105642334129504's digits is 49
- More coming soon!
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