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402442000420 = 225135301148721
BaseRepresentation
bin1011101101100110110…
…10011001100000100100
31102110202212121211210211
411312303122121200210
523043200123003140
6504513532425204
741034613363525
oct5666332314044
91373685554724
10402442000420
11145747021469
1265bb5018204
132bc475411c5
141569a63684c
15a705eb92ea
hex5db3699824

402442000420 has 24 divisors (see below), whose sum is σ = 845140129848. Its totient is φ = 160974528000.

The previous prime is 402442000369. The next prime is 402442000459. The reversal of 402442000420 is 24000244204.

It can be written as a sum of positive squares in 4 ways, for example, as 8392025664 + 394049974756 = 91608^2 + 627734^2 .

It is a junction number, because it is equal to n+sod(n) for n = 402442000391 and 402442000400.

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 7 ways as a sum of consecutive naturals, for example, 2631660 + ... + 2780380.

It is an arithmetic number, because the mean of its divisors is an integer number (35214172077).

Almost surely, 2402442000420 is an apocalyptic number.

It is an amenable number.

402442000420 is an abundant number, since it is smaller than the sum of its proper divisors (442698129428).

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

402442000420 is a wasteful number, since it uses less digits than its factorization.

402442000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284031 (or 284029 counting only the distinct ones).

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

Adding to 402442000420 its reverse (24000244204), we get a palindrome (426442244624).

The spelling of 402442000420 in words is "four hundred two billion, four hundred forty-two million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 135301 148721 270602 297442 541204 594884 676505 743605 1353010 1487210 2706020 2974420 20122100021 40244200042 80488400084 100610500105 201221000210 402442000420