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341022121220144 = 247131016569353021
BaseRepresentation
bin100110110001010000110011…
…0011001010101100000110000
31122201110101200222021102220102
41031202201212121111200300
5324144301301013021034
63205143222201331532
7131555015033544050
oct11542414631254060
91581411628242812
10341022121220144
1199729740000601
12322b8456496ba8
131183932bc50490
14602d7b7251560
152965b7bdb797e
hex1362866655830

341022121220144 has 160 divisors (see below), whose sum is σ = 821385494213760. Its totient is φ = 133553396736000.

The previous prime is 341022121220093. The next prime is 341022121220161. The reversal of 341022121220144 is 441022121220143.

It is a super-2 number, since 2×3410221212201442 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 965834354 + ... + 966187374.

It is an arithmetic number, because the mean of its divisors is an integer number (5133659338836).

Almost surely, 2341022121220144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341022121220144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410692747106880).

341022121220144 is an abundant number, since it is smaller than the sum of its proper divisors (480363372993616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

341022121220144 is a wasteful number, since it uses less digits than its factorization.

341022121220144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359719 (or 359713 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 341022121220144 its reverse (441022121220143), we get a palindrome (782044242440287).

Subtracting 341022121220144 from its reverse (441022121220143), we obtain a palindrome (99999999999999).

The spelling of 341022121220144 in words is "three hundred forty-one trillion, twenty-two billion, one hundred twenty-one million, two hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 101 104 112 182 202 208 364 404 707 728 808 1313 1414 1456 1616 2626 2828 5252 5656 6569 9191 10504 11312 13138 18382 21008 26276 36764 45983 52552 73528 85397 91966 105104 147056 170794 183932 341588 353021 367864 597779 663469 683176 706042 735728 1195558 1326938 1366352 1412084 2391116 2471147 2653876 2824168 4589273 4644283 4782232 4942294 5307752 5648336 8625097 9178546 9288566 9564464 9884588 10615504 17250194 18357092 18577132 19769176 32124911 34500388 35655121 36714184 37154264 39538352 60375679 64249822 69000776 71310242 73428368 74308528 120751358 128499644 138001552 142620484 241502716 249585847 256999288 285240968 463516573 483005432 499171694 513998576 570481936 927033146 966010864 998343388 1854066292 1996686776 2318994949 3244616011 3708132584 3993373552 4637989898 6489232022 7416265168 9275979796 12978464044 16232964643 18551959592 25956928088 30146934337 32465929286 37103919184 51913856176 60293868674 64931858572 120587737348 129863717144 211028540359 234218489849 241175474696 259727434288 422057080718 468436979698 482350949392 844114161436 936873959396 1639529428943 1688228322872 1873747918792 3044840368037 3279058857886 3376456645744 3747495837584 6089680736074 6558117715772 12179361472148 13116235431544 21313882576259 24358722944296 26232470863088 42627765152518 48717445888592 85255530305036 170511060610072 341022121220144