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3142401440 = 25570927701
BaseRepresentation
bin1011101101001101…
…0011110110100000
322002222222112101112
42323103103312200
522413423321230
61235452322452
7140604654143
oct27323236640
98088875345
103142401440
111372892792
12738473428
133b1052949
1421b4b405a
15135d21d95
hexbb4d3da0

3142401440 has 48 divisors (see below), whose sum is σ = 7434662760. Its totient is φ = 1255142400.

The previous prime is 3142401413. The next prime is 3142401461. The reversal of 3142401440 is 441042413.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1804890256 + 1337511184 = 42484^2 + 36572^2 .

It is a super-2 number, since 2×31424014402 = 19749373620228147200, which contains 22 as substring.

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, 99590 + ... + 127290.

Almost surely, 23142401440 is an apocalyptic number.

It is an amenable number.

3142401440 is an abundant number, since it is smaller than the sum of its proper divisors (4292261320).

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

3142401440 is a wasteful number, since it uses less digits than its factorization.

3142401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28425 (or 28417 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 3142401440 is about 56057.1265763774. The cubic root of 3142401440 is about 1464.7175605889.

Adding to 3142401440 its reverse (441042413), we get a palindrome (3583443853).

The spelling of 3142401440 in words is "three billion, one hundred forty-two million, four hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 709 1418 2836 3545 5672 7090 11344 14180 22688 27701 28360 55402 56720 110804 113440 138505 221608 277010 443216 554020 886432 1108040 2216080 4432160 19640009 39280018 78560036 98200045 157120072 196400090 314240144 392800180 628480288 785600360 1571200720 3142401440