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3142220040 = 23345969821
BaseRepresentation
bin1011101101001010…
…0111100100001000
322002222122022120000
42323102213210020
522413402020130
61235444403000
7140603300241
oct27322474410
98088568500
103142220040
111372779473
127383a6460
133b0cbb1cb
1421b467cc8
15135cd8260
hexbb4a7908

3142220040 has 80 divisors (see below), whose sum is σ = 10561361580. Its totient is φ = 837924480.

The previous prime is 3142220021. The next prime is 3142220051. The reversal of 3142220040 is 400222413.

3142220040 is a `hidden beast` number, since 3 + 1 + 422 + 200 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2633537124 + 508682916 = 51318^2 + 22554^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3142219995 and 3142220022.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 481671 + ... + 488150.

Almost surely, 23142220040 is an apocalyptic number.

3142220040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3142220040 is an abundant number, since it is smaller than the sum of its proper divisors (7419141540).

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

3142220040 is a wasteful number, since it uses less digits than its factorization.

3142220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969844 (or 969831 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3142220040 is about 56055.5085607115. The cubic root of 3142220040 is about 1464.6893756817.

Adding to 3142220040 its reverse (400222413), we get a palindrome (3542442453).

The spelling of 3142220040 in words is "three billion, one hundred forty-two million, two hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 969821 1939642 2909463 3879284 4849105 5818926 7758568 8728389 9698210 11637852 14547315 17456778 19396420 23275704 26185167 29094630 34913556 38792840 43641945 52370334 58189260 69827112 78555501 87283890 104740668 116378520 130925835 157111002 174567780 209481336 261851670 314222004 349135560 392777505 523703340 628444008 785555010 1047406680 1571110020 3142220040