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405452233040 = 2455068152913
BaseRepresentation
bin1011110011001101101…
…01100001100101010000
31102202112122220111122212
411321212311201211100
523120331232424130
6510132344251252
741202325055111
oct5714665414520
91382478814585
10405452233040
11146a51240818
12666b5170b28
132c30709913a
14158a4344208
15a8303cee95
hex5e66d61950

405452233040 has 20 divisors (see below), whose sum is σ = 942676442004. Its totient is φ = 162180893184.

The previous prime is 405452233037. The next prime is 405452233063. The reversal of 405452233040 is 40332254504.

It can be written as a sum of positive squares in 2 ways, for example, as 208717404736 + 196734828304 = 456856^2 + 443548^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 405452232988 and 405452233006.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2534076377 + ... + 2534076536.

Almost surely, 2405452233040 is an apocalyptic number.

405452233040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405452233040 is an abundant number, since it is smaller than the sum of its proper divisors (537224208964).

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

405452233040 is a wasteful number, since it uses less digits than its factorization.

405452233040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5068152926 (or 5068152920 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

Adding to 405452233040 its reverse (40332254504), we get a palindrome (445784487544).

The spelling of 405452233040 in words is "four hundred five billion, four hundred fifty-two million, two hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5068152913 10136305826 20272611652 25340764565 40545223304 50681529130 81090446608 101363058260 202726116520 405452233040