Search a number
-
+
240476431428 = 223219134973303
BaseRepresentation
bin1101111111110110000…
…0110010010001000100
3211222201012211110001100
43133331200302101010
512414443431301203
6302250124300100
723242141640502
oct3377540622104
9758635743040
10240476431428
1192a92749222
123a7330a1630
13198a4cc400c
14b8d3a6b672
1563c6bbaea3
hex37fd832444

240476431428 has 36 divisors (see below), whose sum is σ = 611053567488. Its totient is φ = 79739128560.

The previous prime is 240476431381. The next prime is 240476431451. The reversal of 240476431428 is 824134674042.

240476431428 is a `hidden beast` number, since 240 + 4 + 76 + 4 + 314 + 28 = 666.

240476431428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2404764314282 (a number of 24 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 17479776 + ... + 17493527.

It is an arithmetic number, because the mean of its divisors is an integer number (16973710208).

Almost surely, 2240476431428 is an apocalyptic number.

It is an amenable number.

240476431428 is an abundant number, since it is smaller than the sum of its proper divisors (370577136060).

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

240476431428 is a wasteful number, since it uses less digits than its factorization.

240476431428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34973504 (or 34973499 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 240476431428 in words is "two hundred forty billion, four hundred seventy-six million, four hundred thirty-one thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 191 382 573 764 1146 1719 2292 3438 6876 34973303 69946606 104919909 139893212 209839818 314759727 419679636 629519454 1259038908 6679900873 13359801746 20039702619 26719603492 40079405238 60119107857 80158810476 120238215714 240476431428