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3141745152 = 2937213319
BaseRepresentation
bin1011101101000011…
…0011101000000000
322002221202012010120
42323100303220000
522413241321102
61235430300240
7140566251600
oct27320635000
98087665116
103141745152
1113724846a7
127381b7680
133b0b83000
1421b382c00
15135c426bc
hexbb433a00

3141745152 has 480 divisors, whose sum is σ = 11102414400. Its totient is φ = 784982016.

The previous prime is 3141745151. The next prime is 3141745181. The reversal of 3141745152 is 2515471413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141745151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165354999 + ... + 165355017.

It is an arithmetic number, because the mean of its divisors is an integer number (23130030).

Almost surely, 23141745152 is an apocalyptic number.

3141745152 is a gapful number since it is divisible by the number (32) 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 3141745152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5551207200).

3141745152 is an abundant number, since it is smaller than the sum of its proper divisors (7960669248).

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

3141745152 is an equidigital number, since it uses as much as digits as its factorization.

3141745152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 44 counting only the distinct ones).

The product of its digits is 16800, while the sum is 33.

The square root of 3141745152 is about 56051.2725279275. The cubic root of 3141745152 is about 1464.6155851300.

The spelling of 3141745152 in words is "three billion, one hundred forty-one million, seven hundred forty-five thousand, one hundred fifty-two".