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1041401104 = 2431289761
BaseRepresentation
bin111110000100101…
…000010100010000
32200120120122202021
4332010220110100
54113044313404
6251200501224
734543522552
oct7604502420
92616518667
101041401104
11494931077
1225091a814
131379a4693
149c4474d2
156165d454
hex3e128510

1041401104 has 60 divisors (see below), whose sum is σ = 2111098140. Its totient is φ = 497587200.

The previous prime is 1041401071. The next prime is 1041401159. The reversal of 1041401104 is 4011041401.

It can be written as a sum of positive squares in 2 ways, for example, as 64963600 + 976437504 = 8060^2 + 31248^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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 11 ways as a sum of consecutive naturals, for example, 1368084 + ... + 1368844.

It is an arithmetic number, because the mean of its divisors is an integer number (35184969).

Almost surely, 21041401104 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 1041401104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055549070).

1041401104 is an abundant number, since it is smaller than the sum of its proper divisors (1069697036).

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

1041401104 is an equidigital number, since it uses as much as digits as its factorization.

1041401104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1041401104 is about 32270.7468770092. The cubic root of 1041401104 is about 1013.6141809657.

Adding to 1041401104 its reverse (4011041401), we get a palindrome (5052442505).

The spelling of 1041401104 in words is "one billion, forty-one million, four hundred one thousand, one hundred four".

Divisors: 1 2 4 8 16 31 62 89 124 178 248 356 496 712 761 961 1424 1522 1922 2759 3044 3844 5518 6088 7688 11036 12176 15376 22072 23591 44144 47182 67729 85529 94364 135458 171058 188728 270916 342116 377456 541832 684232 731321 1083664 1368464 1462642 2099599 2925284 4199198 5850568 8398396 11701136 16796792 33593584 65087569 130175138 260350276 520700552 1041401104