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3130144032 = 253197165511
BaseRepresentation
bin1011101010010010…
…0011010100100000
322002010220210101110
42322210203110200
522402304102112
61234333503320
7140365533231
oct27244432440
98063823343
103130144032
1113669805a4
12734341b40
133ab650742
14219a03088
15134c0013c
hexba923520

3130144032 has 48 divisors (see below), whose sum is σ = 8258386752. Its totient is φ = 1038078720.

The previous prime is 3130144007. The next prime is 3130144049. The reversal of 3130144032 is 2304410313.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×31301440322 = 19595603322130434048, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 63844 + ... + 101667.

It is an arithmetic number, because the mean of its divisors is an integer number (172049724).

Almost surely, 23130144032 is an apocalyptic number.

3130144032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3130144032 is an abundant number, since it is smaller than the sum of its proper divisors (5128242720).

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

3130144032 is a wasteful number, since it uses less digits than its factorization.

3130144032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165721 (or 165713 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3130144032 is about 55947.6901399870. The cubic root of 3130144032 is about 1462.8106288543.

Adding to 3130144032 its reverse (2304410313), we get a palindrome (5434554345).

The spelling of 3130144032 in words is "three billion, one hundred thirty million, one hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 197 394 591 788 1182 1576 2364 3152 4728 6304 9456 18912 165511 331022 496533 662044 993066 1324088 1986132 2648176 3972264 5296352 7944528 15889056 32605667 65211334 97817001 130422668 195634002 260845336 391268004 521690672 782536008 1043381344 1565072016 3130144032