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3142886000 = 24537122133
BaseRepresentation
bin1011101101010100…
…1010001001110000
322010000220011002012
42323111022021300
522414034323000
61235510542052
7140612042642
oct27325121160
98100804065
103142886000
111373093851
12738667928
133b1192377
1421b59c892
15135dba735
hexbb54a270

3142886000 has 80 divisors (see below), whose sum is σ = 7706881728. Its totient is φ = 1239392000.

The previous prime is 3142885943. The next prime is 3142886011. The reversal of 3142886000 is 6882413.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130934 + ... + 153066.

Almost surely, 23142886000 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 3142886000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3853440864).

3142886000 is an abundant number, since it is smaller than the sum of its proper divisors (4563995728).

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

3142886000 is a wasteful number, since it uses less digits than its factorization.

3142886000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22227 (or 22211 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 3142886000 is about 56061.4484293797. The cubic root of 3142886000 is about 1464.7928434659.

The spelling of 3142886000 in words is "three billion, one hundred forty-two million, eight hundred eighty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 125 142 200 250 284 355 400 500 568 710 1000 1136 1420 1775 2000 2840 3550 5680 7100 8875 14200 17750 22133 28400 35500 44266 71000 88532 110665 142000 177064 221330 354128 442660 553325 885320 1106650 1571443 1770640 2213300 2766625 3142886 4426600 5533250 6285772 7857215 8853200 11066500 12571544 15714430 22133000 25143088 31428860 39286075 44266000 62857720 78572150 125715440 157144300 196430375 314288600 392860750 628577200 785721500 1571443000 3142886000