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1042221114424 = 237181303733857
BaseRepresentation
bin11110010101010010011…
…10000010010000111000
310200122011011220021011201
433022221032002100320
5114033432101130144
62114442331303544
7135204132206050
oct17125116022070
93618134807151
101042221114424
11372004715096
12149ba58aabb4
1377386563199
143862d9ca560
151c19d23b1d4
hexf2a9382438

1042221114424 has 64 divisors (see below), whose sum is σ = 2246475591360. Its totient is φ = 444039045120.

The previous prime is 1042221114401. The next prime is 1042221114427. The reversal of 1042221114424 is 4244111222401.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1042221114392 and 1042221114401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042221114427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30766104 + ... + 30799960.

It is an arithmetic number, because the mean of its divisors is an integer number (35101181115).

Almost surely, 21042221114424 is an apocalyptic number.

1042221114424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1042221114424 is an abundant number, since it is smaller than the sum of its proper divisors (1204254476936).

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

1042221114424 is a wasteful number, since it uses less digits than its factorization.

1042221114424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37088 (or 37084 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 1042221114424 its reverse (4244111222401), we get a palindrome (5286332336825).

The spelling of 1042221114424 in words is "one trillion, forty-two billion, two hundred twenty-one million, one hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 181 362 724 1267 1448 2534 3037 5068 6074 10136 12148 21259 24296 33857 42518 67714 85036 135428 170072 236999 270856 473998 549697 947996 1099394 1895992 2198788 3847879 4397576 6128117 7695758 12256234 15391516 24512468 30783032 42896819 49024936 85793638 102823709 171587276 205647418 343174552 411294836 719765963 822589672 1439531926 2879063852 5758127704 18611091329 37222182658 74444365316 130277639303 148888730632 260555278606 521110557212 1042221114424