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41444144 = 2473773137
BaseRepresentation
bin1001111000011…
…0001100110000
32212222120200022
42132012030300
541102203034
64040143012
71012161260
oct236061460
985876608
1041444144
1121437665
1211a67a68
138780c81
14570b7a0
153989b2e
hex2786330

41444144 has 80 divisors (see below), whose sum is σ = 96237888. Its totient is φ = 16920576.

The previous prime is 41444129. The next prime is 41444159. The reversal of 41444144 is 44144414.

It is an interprime number because it is at equal distance from previous prime (41444129) and next prime (41444159).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (4096) is a multiple of the sum of its prime divisors (256).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302444 + ... + 302580.

Almost surely, 241444144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41444144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48118944).

41444144 is an abundant number, since it is smaller than the sum of its proper divisors (54793744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41444144 is a wasteful number, since it uses less digits than its factorization.

41444144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 256 counting only the distinct ones).

The product of its digits is 4096, while the sum is 26.

The square root of 41444144 is about 6437.7126372649. The cubic root of 41444144 is about 346.0623808583.

Adding to 41444144 its reverse (44144414), we get a palindrome (85588558).

The spelling of 41444144 in words is "forty-one million, four hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 37 56 73 74 112 137 146 148 259 274 292 296 511 518 548 584 592 959 1022 1036 1096 1168 1918 2044 2072 2192 2701 3836 4088 4144 5069 5402 7672 8176 10001 10138 10804 15344 18907 20002 20276 21608 35483 37814 40004 40552 43216 70007 70966 75628 80008 81104 140014 141932 151256 160016 280028 283864 302512 370037 560056 567728 740074 1120112 1480148 2590259 2960296 5180518 5920592 10361036 20722072 41444144