Search a number
-
+
3142000000 = 27561571
BaseRepresentation
bin1011101101000111…
…0001110110000000
322002222020010201101
42323101301312000
522413323000000
61235435544144
7140601362566
oct27321616600
98088203641
103142000000
111372639117
127382bb054
133b0c41cc9
1421b40ba36
15135c92e6a
hexbb471d80

3142000000 has 112 divisors (see below), whose sum is σ = 7829196660. Its totient is φ = 1256000000.

The previous prime is 3141999989. The next prime is 3142000013. The reversal of 3142000000 is 2413.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1999215 + ... + 2000785.

Almost surely, 23142000000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3142000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3914598330).

3142000000 is an abundant number, since it is smaller than the sum of its proper divisors (4687196660).

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

3142000000 is an frugal number, since it uses more digits than its factorization.

3142000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 3142000000 is about 56053.5458289661. The cubic root of 3142000000 is about 1464.6551856537.

Adding to 3142000000 its reverse (2413), we get a palindrome (3142002413).

The spelling of 3142000000 in words is "three billion, one hundred forty-two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1571 1600 2000 2500 3125 3142 3200 4000 5000 6250 6284 7855 8000 10000 12500 12568 15625 15710 16000 20000 25000 25136 31250 31420 39275 40000 50000 50272 62500 62840 78550 80000 100000 100544 125000 125680 157100 196375 200000 201088 250000 251360 314200 392750 400000 500000 502720 628400 785500 981875 1000000 1005440 1256800 1571000 1963750 2000000 2513600 3142000 3927500 4909375 5027200 6284000 7855000 9818750 12568000 15710000 19637500 24546875 25136000 31420000 39275000 49093750 62840000 78550000 98187500 125680000 157100000 196375000 314200000 392750000 628400000 785500000 1571000000 3142000000