Search a number
-
+
1001234044242 = 232831574268599
BaseRepresentation
bin11101001000111100011…
…00110001010101010010
310112201100201111100221100
432210132030301111102
5112401011403403432
62043543252205230
7132223340645445
oct16443614612522
93481321440840
101001234044242
11356691574673
12142067309816
1373553b4ca33
14366622b965c
151b09ec7907c
hexe91e331552

1001234044242 has 48 divisors (see below), whose sum is σ = 2209461508800. Its totient is φ = 327623433696.

The previous prime is 1001234044207. The next prime is 1001234044249. The reversal of 1001234044242 is 2424404321001.

1001234044242 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 234 + 0 + 4 + 424 + 2 = 666.

It is a super-2 number, since 2×10012340442422 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1001234044249) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1899742 + ... + 2368857.

It is an arithmetic number, because the mean of its divisors is an integer number (46030448100).

Almost surely, 21001234044242 is an apocalyptic number.

1001234044242 is an abundant number, since it is smaller than the sum of its proper divisors (1208227464558).

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

1001234044242 is a wasteful number, since it uses less digits than its factorization.

1001234044242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4268847 (or 4268844 counting only the distinct ones).

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

Adding to 1001234044242 its reverse (2424404321001), we get a palindrome (3425638365243).

The spelling of 1001234044242 in words is "one trillion, one billion, two hundred thirty-four million, forty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 83 157 166 249 314 471 498 747 942 1413 1494 2826 13031 26062 39093 78186 117279 234558 4268599 8537198 12805797 25611594 38417391 76834782 354293717 670170043 708587434 1062881151 1340340086 2010510129 2125762302 3188643453 4021020258 6031530387 6377286906 12063060774 55624113569 111248227138 166872340707 333744681414 500617022121 1001234044242