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14113044442404 = 2232392029012289
BaseRepresentation
bin1100110101011111001100…
…0000000010110100100100
31211222012020022222121222200
43031113303000002310210
53322212003334124104
650003235413454500
72654430253303305
oct315276300026444
954865208877880
1014113044442404
1145513437303a6
1216bb252041430
137b4b150c5c5b
1436b109b067ac
151971a5417b39
hexcd5f3002d24

14113044442404 has 18 divisors (see below), whose sum is σ = 35674640118390. Its totient is φ = 4704348147456.

The previous prime is 14113044442397. The next prime is 14113044442411. The reversal of 14113044442404 is 40424444031141.

14113044442404 is a `hidden beast` number, since 1 + 4 + 1 + 130 + 44 + 442 + 40 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (14113044442397) and next prime (14113044442411).

It can be written as a sum of positive squares in only one way, i.e., 9837255873600 + 4275788568804 = 3136440^2 + 2067798^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 392029012289 = 14113044442404 / (1 + 4 + 1 + 1 + 3 + 0 + 4 + 4 + 4 + 4 + 2 + 4 + 0 + 4).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 196014506109 + ... + 196014506180.

Almost surely, 214113044442404 is an apocalyptic number.

It is an amenable number.

14113044442404 is an abundant number, since it is smaller than the sum of its proper divisors (21561595675986).

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

14113044442404 is a wasteful number, since it uses less digits than its factorization.

14113044442404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392029012299 (or 392029012294 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 14113044442404 its reverse (40424444031141), we get a palindrome (54537488473545).

The spelling of 14113044442404 in words is "fourteen trillion, one hundred thirteen billion, forty-four million, four hundred forty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 392029012289 784058024578 1176087036867 1568116049156 2352174073734 3528261110601 4704348147468 7056522221202 14113044442404