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400224361842 = 2321491132
BaseRepresentation
bin1011101001011110011…
…10110001110101110010
31102021001022202010120200
411310233032301311302
523024124414034332
6503505513020030
740625634642114
oct5645716616562
91367038663520
10400224361842
11144809244808
12656963b4616
132b982c75226
1415529cc73b4
15a62646617c
hex5d2f3b1d72

400224361842 has 18 divisors (see below), whose sum is σ = 867158599437. Its totient is φ = 133407225936.

The previous prime is 400224361819. The next prime is 400224361847. The reversal of 400224361842 is 248163422004.

400224361842 is a `hidden beast` number, since 40 + 0 + 2 + 2 + 436 + 184 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 388803378681 + 11420983161 = 623541^2 + 106869^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=447339.

It is a super-2 number, since 2×4002243618422 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 400224361797 and 400224361806.

It is not an unprimeable number, because it can be changed into a prime (400224361847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2609478 + ... + 2758590.

Almost surely, 2400224361842 is an apocalyptic number.

400224361842 is an abundant number, since it is smaller than the sum of its proper divisors (466934237595).

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

400224361842 is an frugal number, since it uses more digits than its factorization.

400224361842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298234 (or 149118 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 400224361842 its reverse (248163422004), we get a palindrome (648387783846).

The spelling of 400224361842 in words is "four hundred billion, two hundred twenty-four million, three hundred sixty-one thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 149113 298226 447339 894678 1342017 2684034 22234686769 44469373538 66704060307 133408120614 200112180921 400224361842