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450300141 = 3523231113
BaseRepresentation
bin11010110101110…
…000100011101101
31011101022121200000
4122311300203231
51410234101031
6112403254513
714105326254
oct3265604355
91141277600
10450300141
11211201185
1210697a439
13723a34b5
1443b3979b
15297ec3e6
hex1ad708ed

450300141 has 72 divisors (see below), whose sum is σ = 734313216. Its totient is φ = 275425920.

The previous prime is 450300121. The next prime is 450300163. The reversal of 450300141 is 141003054.

It is a happy number.

It is not a de Polignac number, because 450300141 - 213 = 450291949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450300121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3984901 + ... + 3985013.

Almost surely, 2450300141 is an apocalyptic number.

It is an amenable number.

450300141 is a deficient number, since it is larger than the sum of its proper divisors (284013075).

450300141 is a wasteful number, since it uses less digits than its factorization.

450300141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 450300141 is about 21220.2766475840. The cubic root of 450300141 is about 766.4797655513.

Adding to 450300141 its reverse (141003054), we get a palindrome (591303195).

The spelling of 450300141 in words is "four hundred fifty million, three hundred thousand, one hundred forty-one".

Divisors: 1 3 9 23 27 31 69 81 93 113 207 243 279 339 529 621 713 837 1017 1587 1863 2139 2511 2599 3051 3503 4761 5589 6417 7533 7797 9153 10509 14283 16399 19251 23391 27459 31527 42849 49197 57753 59777 70173 80569 94581 128547 147591 173259 179331 210519 241707 283743 442773 537993 631557 725121 851229 1328319 1613979 1853087 2175363 3984957 4841937 5559261 6526089 14525811 16677783 19578267 50033349 150100047 450300141