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314024244023343 = 37617241110052209
BaseRepresentation
bin100011101100110100111011…
…1100001000001000000101111
31112011212102110111021112102010
41013121221313201001000233
5312124433122432221333
63031512425100532303
7123100334336011350
oct10731516741010057
91464772414245363
10314024244023343
119106aa30179737
122b278003b51093
131062b4890842b9
145778bd6aa1d27
152648757da1563
hex11d9a7784102f

314024244023343 has 32 divisors (see below), whose sum is σ = 479487521963520. Its totient is φ = 179077270901760.

The previous prime is 314024244023327. The next prime is 314024244023363. The reversal of 314024244023343 is 343320442420413.

It is a happy number.

It is not a de Polignac number, because 314024244023343 - 24 = 314024244023327 is a prime.

It is a super-2 number, since 2×3140242440233432 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314024244023363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26213223 + ... + 36265431.

It is an arithmetic number, because the mean of its divisors is an integer number (14983985061360).

Almost surely, 2314024244023343 is an apocalyptic number.

314024244023343 is a deficient number, since it is larger than the sum of its proper divisors (165463277940177).

314024244023343 is a wasteful number, since it uses less digits than its factorization.

314024244023343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10055247.

The product of its (nonzero) digits is 663552, while the sum is 39.

Adding to 314024244023343 its reverse (343320442420413), we get a palindrome (657344686443756).

The spelling of 314024244023343 in words is "three hundred fourteen trillion, twenty-four billion, two hundred forty-four million, twenty-three thousand, three hundred forty-three".

Divisors: 1 3 7 21 617 1851 2411 4319 7233 12957 16877 50631 1487587 4462761 10052209 10413109 30156627 31239327 70365463 211096389 6202212953 18606638859 24235875899 43415490671 72707627697 130246472013 169651131293 508953393879 14953535429683 44860606289049 104674748007781 314024244023343