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3142886880 = 253574092287
BaseRepresentation
bin1011101101010100…
…1010010111100000
322010000220012021210
42323111022113200
522414034340010
61235510550120
7140612045340
oct27325122740
98100805253
103142886880
111373094481
12738668340
133b11928a3
1421b59cd20
15135dbab20
hexbb54a5e0

3142886880 has 192 divisors, whose sum is σ = 11347015680. Its totient is φ = 716304384.

The previous prime is 3142886867. The next prime is 3142886891. The reversal of 3142886880 is 886882413.

3142886880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31428868802 = 19755475880952268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1373097 + ... + 1375383.

It is an arithmetic number, because the mean of its divisors is an integer number (59099040).

Almost surely, 23142886880 is an apocalyptic number.

3142886880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3142886880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5673507840).

3142886880 is an abundant number, since it is smaller than the sum of its proper divisors (8204128800).

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

3142886880 is a wasteful number, since it uses less digits than its factorization.

3142886880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2721 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The square root of 3142886880 is about 56061.4562779099. The cubic root of 3142886880 is about 1464.7929801786.

The spelling of 3142886880 in words is "three billion, one hundred forty-two million, eight hundred eighty-six thousand, eight hundred eighty".