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3141120492 = 223353932
BaseRepresentation
bin1011101100111001…
…1011000111101100
322002220120110021000
42323032123013230
522413111323432
61235405040300
7140561040456
oct27316330754
98086513230
103141120492
111372098354
12737b56090
133b09c48a3
1421b25d2d6
15135b6c57c
hexbb39b1ec

3141120492 has 36 divisors (see below), whose sum is σ = 8145156040. Its totient is φ = 1046846016.

The previous prime is 3141120457. The next prime is 3141120523. The reversal of 3141120492 is 2940211413.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 579748 + ... + 585140.

Almost surely, 23141120492 is an apocalyptic number.

It is an amenable number.

3141120492 is an abundant number, since it is smaller than the sum of its proper divisors (5004035548).

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

3141120492 is an frugal number, since it uses more digits than its factorization.

3141120492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10799 (or 5398 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3141120492 is about 56045.7000313137. The cubic root of 3141120492 is about 1464.5185109065.

Multiplying 3141120492 by its sum of digits (27), we get a square (84810253284 = 2912222).

3141120492 divided by its sum of digits (27) gives a square (116337796 = 107862).

Multiplying 3141120492 by its product of nonzero digits (1728), we get a square (5427856210176 = 23297762).

The spelling of 3141120492 in words is "three billion, one hundred forty-one million, one hundred twenty thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 5393 10786 16179 21572 32358 48537 64716 97074 145611 194148 291222 582444 29084449 58168898 87253347 116337796 174506694 261760041 349013388 523520082 785280123 1047040164 1570560246 3141120492