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3143059968 = 2937328031
BaseRepresentation
bin1011101101010111…
…0100101000000000
322010001012222201110
42323111310220000
522414110404333
61235514403320
7140613366066
oct27325645000
98101188643
103143059968
1113731a2524
12738730540
133b12235c9
1421b606036
15135e02063
hexbb574a00

3143059968 has 80 divisors (see below), whose sum is σ = 8488313856. Its totient is φ = 1033297920.

The previous prime is 3143059957. The next prime is 3143059987. The reversal of 3143059968 is 8699503413.

It is a Cunningham number, because it is equal to 560632-1.

It is a super-2 number, since 2×31430599682 = 19757651924888322048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98113 + ... + 126143.

Almost surely, 23143059968 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 3143059968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4244156928).

3143059968 is an abundant number, since it is smaller than the sum of its proper divisors (5345253888).

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

3143059968 is an equidigital number, since it uses as much as digits as its factorization.

3143059968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28125 (or 28109 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The square root of 3143059968 is about 56062.9999910815. Note that the first 5 decimals coincide. The cubic root of 3143059968 is about 1464.8198698338.

The spelling of 3143059968 in words is "three billion, one hundred forty-three million, fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 256 292 384 438 512 584 768 876 1168 1536 1752 2336 3504 4672 7008 9344 14016 18688 28031 28032 37376 56062 56064 84093 112124 112128 168186 224248 336372 448496 672744 896992 1345488 1793984 2046263 2690976 3587968 4092526 5381952 6138789 7175936 8185052 10763904 12277578 14351872 16370104 21527808 24555156 32740208 43055616 49110312 65480416 98220624 130960832 196441248 261921664 392882496 523843328 785764992 1047686656 1571529984 3143059968