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3141110304 = 2532127157547
BaseRepresentation
bin1011101100111001…
…1000101000100000
322002220112221021200
42323032120220200
522413111012204
61235404521200
7140560665663
oct27316305040
98086487250
103141110304
111372090732
12737b50200
133b09c0067
1421b2596da
15135b69539
hexbb398a20

3141110304 has 144 divisors (see below), whose sum is σ = 9076773888. Its totient is φ = 1030288896.

The previous prime is 3141110303. The next prime is 3141110317. The reversal of 3141110304 is 4030111413.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3141110303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5742159 + ... + 5742705.

It is an arithmetic number, because the mean of its divisors is an integer number (63033152).

Almost surely, 23141110304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3141110304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4538386944).

3141110304 is an abundant number, since it is smaller than the sum of its proper divisors (5935663584).

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

3141110304 is a wasteful number, since it uses less digits than its factorization.

3141110304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3141110304 is about 56045.6091411272. The cubic root of 3141110304 is about 1464.5169275511.

Adding to 3141110304 its reverse (4030111413), we get a palindrome (7171221717).

The spelling of 3141110304 in words is "three billion, one hundred forty-one million, one hundred ten thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 127 144 157 254 288 314 381 471 508 547 628 762 942 1016 1094 1143 1256 1413 1524 1641 1884 2032 2188 2286 2512 2826 3048 3282 3768 4064 4376 4572 4923 5024 5652 6096 6564 7536 8752 9144 9846 11304 12192 13128 15072 17504 18288 19692 19939 22608 26256 36576 39384 39878 45216 52512 59817 69469 78768 79756 85879 119634 138938 157536 159512 171758 179451 208407 239268 257637 277876 319024 343516 358902 416814 478536 515274 555752 625221 638048 687032 717804 772911 833628 957072 1030548 1111504 1250442 1374064 1435608 1545822 1667256 1914144 2061096 2223008 2500884 2748128 2871216 3091644 3334512 4122192 5001768 5742432 6183288 6669024 8244384 10003536 10906633 12366576 20007072 21813266 24733152 32719899 43626532 65439798 87253064 98159697 130879596 174506128 196319394 261759192 349012256 392638788 523518384 785277576 1047036768 1570555152 3141110304