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3141076544 = 261091932333
BaseRepresentation
bin1011101100111001…
…0000011001000000
322002220111012222022
42323032100121000
522413103422134
61235404101012
7140560465364
oct27316203100
98086435868
103141076544
111372068331
12737b34768
133b09aa898
1421b24b2a4
15135b5e52e
hexbb390640

3141076544 has 56 divisors (see below), whose sum is σ = 6325560120. Its totient is φ = 1547403264.

The previous prime is 3141076517. The next prime is 3141076559. The reversal of 3141076544 is 4456701413.

It can be written as a sum of positive squares in 4 ways, for example, as 237160000 + 2903916544 = 15400^2 + 53888^2 .

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, 1345202 + ... + 1347534.

Almost surely, 23141076544 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 3141076544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162780060).

3141076544 is an abundant number, since it is smaller than the sum of its proper divisors (3184483576).

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

3141076544 is a wasteful number, since it uses less digits than its factorization.

3141076544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2637 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 3141076544 is about 56045.3079570449. The cubic root of 3141076544 is about 1464.5116807579.

Adding to 3141076544 its reverse (4456701413), we get a palindrome (7597777957).

The spelling of 3141076544 in words is "three billion, one hundred forty-one million, seventy-six thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 64 109 193 218 386 436 772 872 1544 1744 2333 3088 3488 4666 6176 6976 9332 12352 18664 21037 37328 42074 74656 84148 149312 168296 254297 336592 450269 508594 673184 900538 1017188 1346368 1801076 2034376 3602152 4068752 7204304 8137504 14408608 16275008 28817216 49079321 98158642 196317284 392634568 785269136 1570538272 3141076544