122117814144
122,117,814,144 is an even composite number composed of six prime numbers multiplied together.
122117814144 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 122117814144:
27 × 32 × 17 × 19 × 257 × 1277
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 17 × 19 × 257 × 1277)See below for interesting mathematical facts about the number 122117814144 from the Numbermatics database.
Names of 122117814144
- Cardinal: 122117814144 can be written as One hundred twenty-two billion, one hundred seventeen million, eight hundred fourteen thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.22117814144 × 1011
Factors of 122117814144
Divisors of 122117814144
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 19 24 32 34 36 38 48 51 57 64 68 72 76 96 102 114 128 136 144 152 153 171 192 204 228 257 272 288 304 306 323 342 384 408 456 514 544 576 608 612 646 684 771 816 912 969 1028 1088 1152 1216 1224 1277 1292 1368 1542 1632 1824 1938 2056 2176 2313 2432 2448 2554 2584 2736 2907 3084 3264 3648 3831 3876 4112 4369 4626 4883 4896 5108 5168 5472 5814 6168 6528 7296 7662 7752 8224 8738 9252 9766 9792 10216 10336 10944 11493 11628 12336 13107 14649 15324 15504 16448 17476 18504 19532 19584 20432 20672 21709 21888 22986 23256 24263 24672 26214 29298 30648 31008 32896 34952 37008 39064 39321 40864 41344 43418 43947 45972 46512 48526 49344 52428 58596 61296 62016 65127 69904 72789 74016 78128 78642 81728 83011 86836 87894 91944 93024 97052 98688 104856 117192 122592 124032 130254 139808 145578 148032 156256 157284 163456 166022 173672 175788 183888 186048 194104 195381 209712 218367 234384 245184 249033 260508 279616 291156 296064 312512 314568 328189 332044 347344 351576 367776 372096 388208 390762 412471 419424 436734 468768 490368 498066 521016 559232 582312 625024 629136 656378 664088 694688 703152 735552 747099 776416 781524 824942 838848 873468 937536 984567 996132 1042032 1164624 1237413 1258272 1312756 1328176 1389376 1406304 1471104 1494198 1552832 1563048 1649884 1677696 1746936 1875072 1969134 1992264 2084064 2329248 2474826 2516544 2625512 2656352 2778752 2812608 2953701 2988396 3105664 3126096 3299768 3493872 3712239 3938268 3984528 4168128 4658496 4949652 5033088 5251024 5312704 5579213 5625216 5907402 5976792 6235591 6252192 6599536 6987744 7424478 7876536 7969056 8336256 9316992 9899304 10502048 10625408 11158426 11814804 11953584 12471182 12504384 13199072 13975488 14848956 15753072 15938112 16737639 18706773 19798608 21004096 22316852 23629608 23907168 24942364 25008768 26398144 27950976 29697912 31506144 31876224 33475278 37413546 39597216 42008192 44633704 47259216 47814336 49884728 50212917 52796288 56120319 59395824 63012288 66950556 74827092 79194432 89267408 94518432 95628672 99769456 100425834 106005047 112240638 118791648 126024576 133901112 149654184 158388864 178534816 189036864 199538912 200851668 212010094 224481276 237583296 267802224 299308368 318015141 357069632 378073728 399077824 401703336 424020188 448962552 475166592 535604448 598616736 636030282 714139264 798155648 803406672 848040376 897925104 954045423 1071208896 1197233472 1272060564 1606813344 1696080752 1795850208 1908090846 2142417792 2394466944 2544121128 3213626688 3392161504 3591700416 3816181692 5088242256 6427253376 6784323008 7183400832 7632363384 10176484512 13568646016 15264726768 20352969024 30529453536 40705938048 61058907072 122117814144
- Sum of all divisors σ(n): 393492621600
- Sum of proper divisors (its aliquot sum) s(n): 271374807456
- 122117814144 is an abundant number, because the sum of its proper divisors (271374807456) is greater than itself. Its abundance is 149256993312
Bases of 122117814144
- Binary: 11100011011101100100111110111100000002
- Hexadecimal: 0x1C6EC9F780
- Base-36: 1K3LSKG0
Squares and roots of 122117814144
- 122117814144 squared (1221178141442) is 14912760531308526452736
- 122117814144 cubed (1221178141443) is 1821113718936313326477722448297984
-
The
square root of 122117814144 is 349453.5936916375 -
The
cube root of 122117814144 is 4961.2716527853
Scales and comparisons
How big is 122117814144?- 122,117,814,144 seconds is equal to 3,882 years, 50 weeks, 2 days, 15 hours, 2 minutes, 24 seconds.
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To count from 1 to 122,117,814,144 would take you about seven thousand, seven hundred sixty-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 122117814144 cubic inches would be around 413.4 feet tall.
Recreational maths with 122117814144
- 122117814144 backwards is 441418711221
- 122117814144 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 122117814144's digits is 36
- More coming soon!
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The information we have on file for 122117814144 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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