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444618141 = 31115189227
BaseRepresentation
bin11010100000000…
…101010110011101
31010222121221102120
4122200011112131
51402310240031
6112041413153
714006122542
oct3240052635
91128557376
10444618141
11208a80210
12104a9a1b9
1371164176
144309abc9
1529078a96
hex1a80559d

444618141 has 16 divisors (see below), whose sum is σ = 651007488. Its totient is φ = 267678000.

The previous prime is 444618133. The next prime is 444618149. The reversal of 444618141 is 141816444.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (444618133) and next prime (444618149).

It is not a de Polignac number, because 444618141 - 23 = 444618133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444618149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39631 + ... + 49596.

It is an arithmetic number, because the mean of its divisors is an integer number (40687968).

Almost surely, 2444618141 is an apocalyptic number.

It is an amenable number.

444618141 is a deficient number, since it is larger than the sum of its proper divisors (206389347).

444618141 is a wasteful number, since it uses less digits than its factorization.

444618141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89392.

The product of its digits is 12288, while the sum is 33.

The square root of 444618141 is about 21085.9702408971. The cubic root of 444618141 is about 763.2422318810.

The spelling of 444618141 in words is "four hundred forty-four million, six hundred eighteen thousand, one hundred forty-one".

Divisors: 1 3 11 33 151 453 1661 4983 89227 267681 981497 2944491 13473277 40419831 148206047 444618141