Search a number
-
+
449269408119 = 3724765026691
BaseRepresentation
bin1101000100110101000…
…10110010000101110111
31120221122100122121222010
412202122202302011313
524330100432024434
6542220322335303
744313212650200
oct6423242620567
91527570577863
10449269408119
11163596960a04
12730a34ba533
133349ac1a47c
1417a5d8745a7
15ba470769e9
hex689a8b2177

449269408119 has 24 divisors (see below), whose sum is σ = 711652117248. Its totient is φ = 251263130160.

The previous prime is 449269408117. The next prime is 449269408139. The reversal of 449269408119 is 911804962944.

It is a happy number.

It is not a de Polignac number, because 449269408119 - 21 = 449269408117 is a prime.

It is a super-2 number, since 2×4492694081192 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449269408117) 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 23 ways as a sum of consecutive naturals, for example, 32506437 + ... + 32520254.

It is an arithmetic number, because the mean of its divisors is an integer number (29652171552).

Almost surely, 2449269408119 is an apocalyptic number.

449269408119 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

449269408119 is a deficient number, since it is larger than the sum of its proper divisors (262382709129).

449269408119 is a wasteful number, since it uses less digits than its factorization.

449269408119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65026755 (or 65026748 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 449269408119 in words is "four hundred forty-nine billion, two hundred sixty-nine million, four hundred eight thousand, one hundred nineteen".

Divisors: 1 3 7 21 47 49 141 147 329 987 2303 6909 65026691 195080073 455186837 1365560511 3056254477 3186307859 9168763431 9558923577 21393781339 64181344017 149756469373 449269408119