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1052340344224 = 25134183743363
BaseRepresentation
bin11110101000001000101…
…11110101010110100000
310201121021102000101211121
433110010113311112200
5114220143112003344
62123234413422024
7136012655223541
oct17240427652640
93647242011747
101052340344224
11376327765224
1214bb4a79a914
1378309b67b20
1438d0d9084c8
151c5917eb684
hexf5045f55a0

1052340344224 has 96 divisors (see below), whose sum is σ = 2313122785344. Its totient is φ = 468139653120.

The previous prime is 1052340344221. The next prime is 1052340344243. The reversal of 1052340344224 is 4224430432501.

It is a super-2 number, since 2×10523403442242 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1052340344224.

It is not an unprimeable number, because it can be changed into a prime (1052340344221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1043967 + ... + 1787329.

It is an arithmetic number, because the mean of its divisors is an integer number (24095029014).

Almost surely, 21052340344224 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 1052340344224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156561392672).

1052340344224 is an abundant number, since it is smaller than the sum of its proper divisors (1260782441120).

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

1052340344224 is a wasteful number, since it uses less digits than its factorization.

1052340344224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743510 (or 743502 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

Adding to 1052340344224 its reverse (4224430432501), we get a palindrome (5276770776725).

The spelling of 1052340344224 in words is "one trillion, fifty-two billion, three hundred forty million, three hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 83 104 164 166 208 328 332 416 533 656 664 1066 1079 1312 1328 2132 2158 2656 3403 4264 4316 6806 8528 8632 13612 17056 17264 27224 34528 44239 54448 88478 108896 176956 353912 707824 743363 1415648 1486726 2973452 5946904 9663719 11893808 19327438 23787616 30477883 38654876 60955766 61699129 77309752 121911532 123398258 154619504 243823064 246796516 309239008 396212479 487646128 493593032 792424958 802088677 975292256 987186064 1584849916 1604177354 1974372128 2529664289 3169699832 3208354708 5059328578 6339399664 6416709416 10118657156 12678799328 12833418832 20237314312 25666837664 32885635757 40474628624 65771271514 80949257248 131542543028 263085086056 526170172112 1052340344224