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3144123248 = 24737761997
BaseRepresentation
bin1011101101100111…
…1000001101110000
322010010020000021012
42323121320031300
522414343420443
61235553250052
7140625415040
oct27331701560
98103200235
103144123248
111373859372
12738b63928
133b1506576
1421b801720
15136062118
hexbb678370

3144123248 has 80 divisors (see below), whose sum is σ = 7166725824. Its totient is φ = 1308026880.

The previous prime is 3144123193. The next prime is 3144123251. The reversal of 3144123248 is 8423214413.

It is a super-2 number, since 2×31441232482 = 19771021997228139008, which contains 22 as substring.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 3153086 + ... + 3154082.

Almost surely, 23144123248 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 3144123248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583362912).

3144123248 is an abundant number, since it is smaller than the sum of its proper divisors (4022602576).

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

3144123248 is a wasteful number, since it uses less digits than its factorization.

3144123248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1804 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The square root of 3144123248 is about 56072.4820923775. The cubic root of 3144123248 is about 1464.9850313947.

The spelling of 3144123248 in words is "three billion, one hundred forty-four million, one hundred twenty-three thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 518 592 761 997 1036 1522 1994 2072 3044 3988 4144 5327 6088 6979 7976 10654 12176 13958 15952 21308 27916 28157 36889 42616 55832 56314 73778 85232 111664 112628 147556 197099 225256 258223 295112 394198 450512 516446 590224 758717 788396 1032892 1517434 1576792 2065784 3034868 3153584 4131568 5311019 6069736 10622038 12139472 21244076 28072529 42488152 56145058 84976304 112290116 196507703 224580232 393015406 449160464 786030812 1572061624 3144123248