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3142000420 = 2251331338609
BaseRepresentation
bin1011101101000111…
…0001111100100100
322002222020011021221
42323101301330210
522413323003140
61235435550124
7140601364036
oct27321617444
98088204257
103142000420
111372639469
127382bb344
133b0c42260
1421b40bc56
15135c9314a
hexbb471f24

3142000420 has 48 divisors (see below), whose sum is σ = 7128641520. Its totient is φ = 1156386816.

The previous prime is 3142000409. The next prime is 3142000457. The reversal of 3142000420 is 240002413.

It can be written as a sum of positive squares in 8 ways, for example, as 1400106724 + 1741893696 = 37418^2 + 41736^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3142000394 and 3142000403.

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 15 ways as a sum of consecutive naturals, for example, 62076 + ... + 100684.

It is an arithmetic number, because the mean of its divisors is an integer number (148513365).

Almost surely, 23142000420 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 3142000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564320760).

3142000420 is an abundant number, since it is smaller than the sum of its proper divisors (3986641100).

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

3142000420 is a wasteful number, since it uses less digits than its factorization.

3142000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38944 (or 38942 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 3142000420 is about 56053.5495753837. The cubic root of 3142000420 is about 1464.6552509152.

Adding to 3142000420 its reverse (240002413), we get a palindrome (3382002833).

The spelling of 3142000420 in words is "three billion, one hundred forty-two million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 313 626 1252 1565 3130 4069 6260 8138 16276 20345 38609 40690 77218 81380 154436 193045 386090 501917 772180 1003834 2007668 2509585 5019170 10038340 12084617 24169234 48338468 60423085 120846170 157100021 241692340 314200042 628400084 785500105 1571000210 3142000420