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1024012043424 = 25324382688311
BaseRepresentation
bin11101110011010111101…
…11111100010010100000
310121220011011022121122200
432321223313330102200
5113234134040342144
62102231415533200
7133660654516356
oct16715367742240
93556134277580
101024012043424
11365310114587
1214656368a200
1375743c20866
14377c34d97d6
151b984835c69
hexee6bdfc4a0

1024012043424 has 72 divisors (see below), whose sum is σ = 2979756011232. Its totient is φ = 333399265920.

The previous prime is 1024012043389. The next prime is 1024012043441. The reversal of 1024012043424 is 4243402104201.

1024012043424 is a `hidden beast` number, since 1 + 0 + 2 + 401 + 204 + 34 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41331772 + ... + 41356539.

It is an arithmetic number, because the mean of its divisors is an integer number (41385500156).

Almost surely, 21024012043424 is an apocalyptic number.

It is an amenable number.

1024012043424 is an abundant number, since it is smaller than the sum of its proper divisors (1955743967808).

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

1024012043424 is a wasteful number, since it uses less digits than its factorization.

1024012043424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82688370 (or 82688359 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 1024012043424 its reverse (4243402104201), we get a palindrome (5267414147625).

The spelling of 1024012043424 in words is "one trillion, twenty-four billion, twelve million, forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 1032 1376 1548 2064 3096 4128 6192 12384 82688311 165376622 248064933 330753244 496129866 661506488 744194799 992259732 1323012976 1488389598 1984519464 2646025952 2976779196 3555597373 3969038928 5953558392 7111194746 7938077856 10666792119 11907116784 14222389492 21333584238 23814233568 28444778984 32000376357 42667168476 56889557968 64000752714 85334336952 113779115936 128001505428 170668673904 256003010856 341337347808 512006021712 1024012043424