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13453352140 = 2254183892221
BaseRepresentation
bin11001000011110000…
…11101110011001100
31021201120212002200111
430201320131303030
5210023024232030
610102544005404
7654246414664
oct144170356314
937646762614
1013453352140
115784080648
122735600864
1313652a33c7
14918a5b1a4
1553b15362a
hex321e1dccc

13453352140 has 96 divisors (see below), whose sum is σ = 29632236480. Its totient is φ = 5126246400.

The previous prime is 13453352123. The next prime is 13453352147. The reversal of 13453352140 is 4125335431.

13453352140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13453352147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6056230 + ... + 6058450.

It is an arithmetic number, because the mean of its divisors is an integer number (308669130).

Almost surely, 213453352140 is an apocalyptic number.

13453352140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13453352140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14816118240).

13453352140 is an abundant number, since it is smaller than the sum of its proper divisors (16178884340).

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

13453352140 is a wasteful number, since it uses less digits than its factorization.

13453352140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 13453352140 its reverse (4125335431), we get a palindrome (17578687571).

The spelling of 13453352140 in words is "thirteen billion, four hundred fifty-three million, three hundred fifty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 82 83 89 164 166 178 205 332 356 410 415 445 820 830 890 1660 1780 2221 3403 3649 4442 6806 7298 7387 8884 11105 13612 14596 14774 17015 18245 22210 29548 34030 36490 36935 44420 68060 72980 73870 91061 147740 182122 184343 197669 302867 364244 368686 395338 455305 605734 737372 790676 910610 921715 988345 1211468 1514335 1821220 1843430 1976690 3028670 3686860 3953380 6057340 7558063 8104429 15116126 16208858 16406527 30232252 32417716 32813054 37790315 40522145 65626108 75580630 81044290 82032635 151161260 162088580 164065270 328130540 672667607 1345335214 2690670428 3363338035 6726676070 13453352140