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441412412 = 227172321753
BaseRepresentation
bin11010010011110…
…110101100111100
31010202121001222212
4122103312230330
51401000144122
6111444555552
713636641440
oct3223665474
91122531885
10441412412
11207190751
121039b2bb8
13705b0c9c
14428a4820
1528b43ce2
hex1a4f6b3c

441412412 has 72 divisors (see below), whose sum is σ = 977721696. Its totient is φ = 170210304.

The previous prime is 441412403. The next prime is 441412459. The reversal of 441412412 is 214214144.

It is a Harshad number since it is a multiple of its sum of digits (23).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250928 + ... + 252680.

It is an arithmetic number, because the mean of its divisors is an integer number (13579468).

Almost surely, 2441412412 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 441412412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488860848).

441412412 is an abundant number, since it is smaller than the sum of its proper divisors (536309284).

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

441412412 is a wasteful number, since it uses less digits than its factorization.

441412412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1802 counting only the distinct ones).

The product of its digits is 1024, while the sum is 23.

The square root of 441412412 is about 21009.8170387084. The cubic root of 441412412 is about 761.4034616281.

Adding to 441412412 its reverse (214214144), we get a palindrome (655626556).

The spelling of 441412412 in words is "four hundred forty-one million, four hundred twelve thousand, four hundred twelve".

Divisors: 1 2 4 7 14 17 23 28 34 46 68 92 119 161 238 322 391 476 529 644 782 1058 1564 1753 2116 2737 3506 3703 5474 7012 7406 8993 10948 12271 14812 17986 24542 29801 35972 40319 49084 59602 62951 80638 119204 125902 161276 208607 251804 282233 417214 564466 685423 834428 927337 1128932 1370846 1854674 2741692 3709348 4797961 6491359 9595922 12982718 15764729 19191844 25965436 31529458 63058916 110353103 220706206 441412412