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3141088992 = 253210906559
BaseRepresentation
bin1011101100111001…
…0011011011100000
322002220111212001100
42323032103123200
522413104321432
61235404234400
7140560546566
oct27316233340
98086455040
103141088992
111372076718
12737b3ba00
133b09b3452
1421b251a36
15135b6307c
hexbb3936e0

3141088992 has 36 divisors (see below), whose sum is σ = 8932472640. Its totient is φ = 1047029568.

The previous prime is 3141088967. The next prime is 3141089051. The reversal of 3141088992 is 2998801413.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 5452992 + ... + 5453567.

It is an arithmetic number, because the mean of its divisors is an integer number (248124240).

Almost surely, 23141088992 is an apocalyptic number.

3141088992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3141088992 is an abundant number, since it is smaller than the sum of its proper divisors (5791383648).

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

3141088992 is a wasteful number, since it uses less digits than its factorization.

3141088992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10906575 (or 10906564 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 3141088992 is about 56045.4190099423. The cubic root of 3141088992 is about 1464.5136153618.

The spelling of 3141088992 in words is "three billion, one hundred forty-one million, eighty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 10906559 21813118 32719677 43626236 65439354 87252472 98159031 130878708 174504944 196318062 261757416 349009888 392636124 523514832 785272248 1047029664 1570544496 3141088992