Search a number
-
+
242044000024 = 231914912778369
BaseRepresentation
bin1110000101101011110…
…0100101011100011000
3212010202110111011220111
43201122330211130120
512431201231000044
6303105442534104
723326035024361
oct3413274453430
9763673434814
10242044000024
1193717589762
123aab0067334
1319a949b31b8
14ba01d1cb68
156469610b34
hex385af25718

242044000024 has 64 divisors (see below), whose sum is σ = 481358700000. Its totient is φ = 113780164608.

The previous prime is 242043999997. The next prime is 242044000031. The reversal of 242044000024 is 420000440242.

242044000024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2420440000242 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242043999959 and 242044000004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28917312 + ... + 28925680.

Almost surely, 2242044000024 is an apocalyptic number.

It is an amenable number.

242044000024 is a deficient number, since it is larger than the sum of its proper divisors (239314699976).

242044000024 is a wasteful number, since it uses less digits than its factorization.

242044000024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9820 (or 9816 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 242044000024 its reverse (420000440242), we get a palindrome (662044440266).

The spelling of 242044000024 in words is "two hundred forty-two billion, forty-four million, twenty-four", and thus it is an aban number.

Divisors: 1 2 4 8 19 38 76 149 152 298 596 1192 1277 2554 2831 5108 5662 8369 10216 11324 16738 22648 24263 33476 48526 66952 97052 159011 190273 194104 318022 380546 636044 761092 1246981 1272088 1522184 2493962 3615187 4987924 7230374 9975848 10687213 14460748 21374426 23692639 28921496 42748852 47385278 85497704 94770556 189541112 203057047 406114094 812228188 1592394737 1624456376 3184789474 6369578948 12739157896 30255500003 60511000006 121022000012 242044000024