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3141014010 = 2351719930949
BaseRepresentation
bin1011101100111000…
…0001000111111010
322002220101001012020
42323032001013322
522413044422020
61235402455310
7140560115151
oct27316010772
98086331166
103141014010
111372025352
12737b04536
133b0988294
1421b232598
15135b4ac40
hexbb3811fa

3141014010 has 64 divisors (see below), whose sum is σ = 8022240000. Its totient is φ = 784346112.

The previous prime is 3141013999. The next prime is 3141014029. The reversal of 3141014010 is 104101413.

It is a super-2 number, since 2×31410140102 = 19731938022032560200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 86016 + ... + 116964.

It is an arithmetic number, because the mean of its divisors is an integer number (125347500).

Almost surely, 23141014010 is an apocalyptic number.

3141014010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3141014010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4011120000).

3141014010 is an abundant number, since it is smaller than the sum of its proper divisors (4881225990).

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

3141014010 is a wasteful number, since it uses less digits than its factorization.

3141014010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31175.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 3141014010 is about 56044.7500663532. The cubic root of 3141014010 is about 1464.5019619688.

Adding to 3141014010 its reverse (104101413), we get a palindrome (3245115423).

The spelling of 3141014010 in words is "three billion, one hundred forty-one million, fourteen thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 199 255 398 510 597 995 1194 1990 2985 3383 5970 6766 10149 16915 20298 30949 33830 50745 61898 92847 101490 154745 185694 309490 464235 526133 928470 1052266 1578399 2630665 3156798 5261330 6158851 7891995 12317702 15783990 18476553 30794255 36953106 61588510 92382765 104700467 184765530 209400934 314101401 523502335 628202802 1047004670 1570507005 3141014010