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441531401052 = 223717563549193
BaseRepresentation
bin1100110110011010101…
…00101000001101011100
31120012200002020010210210
412123031110220031130
524213224014313202
6534500422132420
743620362661630
oct6331524501534
91505602203723
10441531401052
11160285a68745
12716a3b81110
1332836a58771
1417527cc8dc0
15b742a7dc6c
hex66cd52835c

441531401052 has 96 divisors (see below), whose sum is σ = 1248893517312. Its totient is φ = 118520027136.

The previous prime is 441531401021. The next prime is 441531401053. The reversal of 441531401052 is 250104135144.

It is a super-2 number, since 2×4415314010522 (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 (441531401053) 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 31 ways as a sum of consecutive naturals, for example, 529368 + ... + 1078560.

It is an arithmetic number, because the mean of its divisors is an integer number (13009307472).

Almost surely, 2441531401052 is an apocalyptic number.

441531401052 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441531401052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624446758656).

441531401052 is an abundant number, since it is smaller than the sum of its proper divisors (807362116260).

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

441531401052 is a wasteful number, since it uses less digits than its factorization.

441531401052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549787 (or 549785 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 441531401052 its reverse (250104135144), we get a palindrome (691635536196).

The spelling of 441531401052 in words is "four hundred forty-one billion, five hundred thirty-one million, four hundred one thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 563 714 1126 1428 1689 2252 3378 3941 6756 7882 9571 11823 15764 19142 23646 28713 38284 47292 57426 66997 114852 133994 200991 267988 401982 549193 803964 1098386 1647579 2196772 3295158 3844351 6590316 7688702 9336281 11533053 15377404 18672562 23066106 28008843 37345124 46132212 56017686 65353967 112035372 130707934 196061901 261415868 309195659 392123802 618391318 784247604 927586977 1236782636 1855173954 2164369613 3710347908 4328739226 5256326203 6493108839 8657478452 10512652406 12986217678 15768978609 21025304812 25972435356 31537957218 36794283421 63075914436 73588566842 110382850263 147177133684 220765700526 441531401052