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11344142412 = 22321272481221
BaseRepresentation
bin10101001000010100…
…11110000001001100
31002021121000010212200
422210022132001030
5141213100024122
65113400201500
7551055422331
oct124412360114
932247003780
1011344142412
1148a1522109
122247169290
1310ba30c605
14798894988
15465dbc5ac
hex2a429e04c

11344142412 has 36 divisors (see below), whose sum is σ = 28901273856. Its totient is φ = 3751604640.

The previous prime is 11344142393. The next prime is 11344142473. The reversal of 11344142412 is 21424144311.

11344142412 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 414 + 241 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1236039 + ... + 1245182.

Almost surely, 211344142412 is an apocalyptic number.

11344142412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11344142412 is an abundant number, since it is smaller than the sum of its proper divisors (17557131444).

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

11344142412 is a wasteful number, since it uses less digits than its factorization.

11344142412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481358 (or 2481353 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 11344142412 its reverse (21424144311), we get a palindrome (32768286723).

The spelling of 11344142412 in words is "eleven billion, three hundred forty-four million, one hundred forty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 127 254 381 508 762 1143 1524 2286 4572 2481221 4962442 7443663 9924884 14887326 22330989 29774652 44661978 89323956 315115067 630230134 945345201 1260460268 1890690402 2836035603 3781380804 5672071206 11344142412