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400004402224 = 2475437165687
BaseRepresentation
bin1011101001000100001…
…11101100110000110000
31102020110222212000201011
411310202013230300300
523023202111332344
6503432014320304
740620324214330
oct5644207546060
91366428760634
10400004402224
111447060698a9
12656347b9094
132b94951cccb
14155089cb0c0
15a611eb7d34
hex5d221ecc30

400004402224 has 40 divisors (see below), whose sum is σ = 885753808128. Its totient is φ = 171424695360.

The previous prime is 400004402209. The next prime is 400004402243. The reversal of 400004402224 is 422204400004.

It is a super-2 number, since 2×4000044022242 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 400004402195 and 400004402204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6056709 + ... + 6122395.

Almost surely, 2400004402224 is an apocalyptic number.

It is an amenable number.

400004402224 is an abundant number, since it is smaller than the sum of its proper divisors (485749405904).

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

400004402224 is a wasteful number, since it uses less digits than its factorization.

400004402224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120073 (or 120067 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 400004402224 its reverse (422204400004), we get a palindrome (822208802228).

The spelling of 400004402224 in words is "four hundred billion, four million, four hundred two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 54371 65687 108742 131374 217484 262748 380597 434968 459809 525496 761194 869936 919618 1050992 1522388 1839236 3044776 3678472 6089552 7356944 3571467877 7142935754 14285871508 25000275139 28571743016 50000550278 57143486032 100001100556 200002201112 400004402224