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441202144 = 2513787567
BaseRepresentation
bin11010010011000…
…011010111100000
31010202012101120011
4122103003113200
51400421432034
6111440254304
713635104425
oct3223032740
91122171504
10441202144
11207057779
12103911394
1370539376
144284bd4c
1528b01864
hex1a4c35e0

441202144 has 12 divisors (see below), whose sum is σ = 868616784. Its totient is φ = 220601056.

The previous prime is 441202133. The next prime is 441202183.

441202144 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 6893752 + ... + 6893815.

It is an arithmetic number, because the mean of its divisors is an integer number (72384732).

Almost surely, 2441202144 is an apocalyptic number.

It is an amenable number.

441202144 is a deficient number, since it is larger than the sum of its proper divisors (427414640).

441202144 is a wasteful number, since it uses less digits than its factorization.

441202144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13787577 (or 13787569 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 441202144 is about 21004.8124009714. The cubic root of 441202144 is about 761.2825435580.

It can be divided in two parts, 44120 and 2144, that added together give a palindrome (46264).

The spelling of 441202144 in words is "four hundred forty-one million, two hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 13787567 27575134 55150268 110300536 220601072 441202144