Search a number
-
+
30400123043241 = 337380342294823
BaseRepresentation
bin1101110100110000101001…
…00010001111110110101001
310222122020000211210101002000
412322120110202033312221
512441033422444340431
6144353342420401213
76255223250214660
oct672302442176651
9128566024711060
1030400123043241
11976068aa23686
1234ab8b7846209
1313c69473cb733
14771533a1bdd7
1537ab9c3c99e6
hex1ba61488fda9

30400123043241 has 32 divisors (see below), whose sum is σ = 51484643358720. Its totient is φ = 17366930630352.

The previous prime is 30400123043203. The next prime is 30400123043291. The reversal of 30400123043241 is 14234032100403.

30400123043241 is a `hidden beast` number, since 3 + 0 + 400 + 1 + 230 + 4 + 3 + 24 + 1 = 666.

It is not a de Polignac number, because 30400123043241 - 210 = 30400123042217 is a prime.

It is a super-3 number, since 3×304001230432413 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (30400123043291) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 20428645 + ... + 21866178.

It is an arithmetic number, because the mean of its divisors is an integer number (1608895104960).

Almost surely, 230400123043241 is an apocalyptic number.

It is an amenable number.

30400123043241 is a deficient number, since it is larger than the sum of its proper divisors (21084520315479).

30400123043241 is a wasteful number, since it uses less digits than its factorization.

30400123043241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42298642 (or 42298636 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 30400123043241 its reverse (14234032100403), we get a palindrome (44634155143644).

The spelling of 30400123043241 in words is "thirty trillion, four hundred billion, one hundred twenty-three million, forty-three thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 27 63 189 3803 11409 26621 34227 79863 102681 239589 718767 42294823 126884469 296063761 380653407 888191283 1141960221 2664573849 7993721547 160847211869 482541635607 1125930483083 1447624906821 3377791449249 4342874720463 10133374347747 30400123043241