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400404443104 = 25612003102409
BaseRepresentation
bin1011101001110011111…
…01101110111111100000
31102021111212121012122001
411310321331232333200
523030012014134404
6503535424453344
740633252416301
oct5647175567740
91367455535561
10400404443104
111448a09624a6
126572677a254
132b9b13770a3
1415545ba27a8
15a6371887a4
hex5d39f6efe0

400404443104 has 48 divisors (see below), whose sum is σ = 801626973840. Its totient is φ = 196819983360.

The previous prime is 400404443059. The next prime is 400404443149. The reversal of 400404443104 is 401344404004.

It is an interprime number because it is at equal distance from previous prime (400404443059) and next prime (400404443149).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3858652 + ... + 3961060.

It is an arithmetic number, because the mean of its divisors is an integer number (16700561955).

Almost surely, 2400404443104 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 400404443104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400813486920).

400404443104 is an abundant number, since it is smaller than the sum of its proper divisors (401222530736).

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

400404443104 is a wasteful number, since it uses less digits than its factorization.

400404443104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104483 (or 104475 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 400404443104 its reverse (401344404004), we get a palindrome (801748847108).

The spelling of 400404443104 in words is "four hundred billion, four hundred four million, four hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 61 122 244 488 976 1952 2003 4006 8012 16024 32048 64096 102409 122183 204818 244366 409636 488732 819272 977464 1638544 1954928 3277088 3909856 6246949 12493898 24987796 49975592 99951184 199902368 205125227 410250454 820500908 1641001816 3282003632 6564007264 12512638847 25025277694 50050555388 100101110776 200202221552 400404443104