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1004022434412 = 2232243731144279
BaseRepresentation
bin11101001110001000110…
…01101000101001101100
310112222120001100021011100
432213010121220221230
5112422214220400122
62045124101123100
7132352416611034
oct16470431505154
93488501307140
101004022434412
11357892542458
121427050b9490
13738a974374a
143684875a8c4
151b1b496daac
hexe9c4668a6c

1004022434412 has 36 divisors (see below), whose sum is σ = 2538051945520. Its totient is φ = 334660120992.

The previous prime is 1004022434411. The next prime is 1004022434449. The reversal of 1004022434412 is 2144342204001.

1004022434412 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 0 + 2 + 243 + 4 + 412 = 666.

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

It is a super-2 number, since 2×10040224344122 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1004022434411) 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 11 ways as a sum of consecutive naturals, for example, 305289 + ... + 1449567.

Almost surely, 21004022434412 is an apocalyptic number.

1004022434412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1004022434412 is an abundant number, since it is smaller than the sum of its proper divisors (1534029511108).

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

1004022434412 is a wasteful number, since it uses less digits than its factorization.

1004022434412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168662 (or 1168657 counting only the distinct ones).

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

Adding to 1004022434412 its reverse (2144342204001), we get a palindrome (3148364638413).

The spelling of 1004022434412 in words is "one trillion, four billion, twenty-two million, four hundred thirty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 24373 48746 73119 97492 146238 219357 292476 438714 877428 1144279 2288558 3432837 4577116 6865674 10298511 13731348 20597022 41194044 27889512067 55779024134 83668536201 111558048268 167337072402 251005608603 334674144804 502011217206 1004022434412