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4288678144 = 2840932
BaseRepresentation
bin1111111110100000…
…0000100100000000
3102001212220102102021
43333220000210000
532240400200034
61545321131224
7211164106552
oct37750004400
912055812367
104288678144
111900935403
129b8329b14
1353468709a
142c981b4d2
151a17996b4
hexffa00900

4288678144 has 27 divisors (see below), whose sum is σ = 8562695673. Its totient is φ = 2143815168.

The previous prime is 4288678133. The next prime is 4288678151. The reversal of 4288678144 is 4418768824.

The square root of 4288678144 is 65488.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1777465600 + 2511212544 = 42160^2 + 50112^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4288678091 and 4288678100.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1045762 + ... + 1049854.

Almost surely, 24288678144 is an apocalyptic number.

4288678144 is the 65488-th square number.

It is an amenable number.

4288678144 is a deficient number, since it is larger than the sum of its proper divisors (4274017529).

4288678144 is an frugal number, since it uses more digits than its factorization.

4288678144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8202 (or 4095 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 52.

The cubic root of 4288678144 is about 1624.7048797706.

The spelling of 4288678144 in words is "four billion, two hundred eighty-eight million, six hundred seventy-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 4093 8186 16372 32744 65488 130976 261952 523904 1047808 16752649 33505298 67010596 134021192 268042384 536084768 1072169536 2144339072 4288678144