Search a number
-
+
4244550144 = 29319145441
BaseRepresentation
bin1111110011111110…
…1011001000000000
3101221210212111011220
43330333223020000
532143101101034
61541103235040
7210120036522
oct37477531000
911853774156
104244550144
111888a3538a
129a55a8a80
135284a6643
142c3a11a12
1519c97e749
hexfcfeb200

4244550144 has 80 divisors (see below), whose sum is σ = 11902973280. Its totient is φ = 1340375040.

The previous prime is 4244550131. The next prime is 4244550161. The reversal of 4244550144 is 4410554424.

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 7 ways as a sum of consecutive naturals, for example, 43537 + ... + 101904.

It is an arithmetic number, because the mean of its divisors is an integer number (148787166).

Almost surely, 24244550144 is an apocalyptic number.

It is an amenable number.

4244550144 is an abundant number, since it is smaller than the sum of its proper divisors (7658423136).

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

4244550144 is a wasteful number, since it uses less digits than its factorization.

4244550144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145481 (or 145465 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 33.

The square root of 4244550144 is about 65150.2121562163. The cubic root of 4244550144 is about 1619.1132351556.

The spelling of 4244550144 in words is "four billion, two hundred forty-four million, five hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1216 1536 1824 2432 3648 4864 7296 9728 14592 29184 145441 290882 436323 581764 872646 1163528 1745292 2327056 2763379 3490584 4654112 5526758 6981168 8290137 9308224 11053516 13962336 16580274 18616448 22107032 27924672 33160548 37232896 44214064 55849344 66321096 74465792 88428128 111698688 132642192 176856256 223397376 265284384 353712512 530568768 707425024 1061137536 1414850048 2122275072 4244550144