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3141113024 = 26747241619
BaseRepresentation
bin1011101100111001…
…1001010011000000
322002220120002000102
42323032121103000
522413111104044
61235404541532
7140561006630
oct27316312300
98086502012
103141113024
111372092785
12737b518a8
133b09c137a
1421b25a6c0
15135b6a24e
hexbb3994c0

3141113024 has 112 divisors (see below), whose sum is σ = 7317150720. Its totient is φ = 1309962240.

The previous prime is 3141112993. The next prime is 3141113057. The reversal of 3141113024 is 4203111413.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 3141112987 and 3141113005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5074187 + ... + 5074805.

Almost surely, 23141113024 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 3141113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3658575360).

3141113024 is an abundant number, since it is smaller than the sum of its proper divisors (4176037696).

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

3141113024 is a wasteful number, since it uses less digits than its factorization.

3141113024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 3141113024 is about 56045.6334070728. The cubic root of 3141113024 is about 1464.5173502769.

Adding to 3141113024 its reverse (4203111413), we get a palindrome (7344224437).

The spelling of 3141113024 in words is "three billion, one hundred forty-one million, one hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 188 224 241 329 376 448 482 619 658 752 964 1238 1316 1504 1687 1928 2476 2632 3008 3374 3856 4333 4952 5264 6748 7712 8666 9904 10528 11327 13496 15424 17332 19808 21056 22654 26992 29093 34664 39616 45308 53984 58186 69328 79289 90616 107968 116372 138656 149179 158578 181232 203651 232744 277312 298358 317156 362464 407302 465488 596716 634312 724928 814604 930976 1044253 1193432 1268624 1629208 1861952 2088506 2386864 2537248 3258416 4177012 4773728 5074496 6516832 7011413 8354024 9547456 13033664 14022826 16708048 28045652 33416096 49079891 56091304 66832192 98159782 112182608 196319564 224365216 392639128 448730432 785278256 1570556512 3141113024