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13423141444104 = 2332726633217151
BaseRepresentation
bin1100001101010101000110…
…0100111101101000001000
31202112020110210210001200200
43003111101210331220020
53224411043202202404
644314301150132200
72553534646465440
oct303252144755010
952466423701620
1013423141444104
1143057a444a607
1216095b2ab1060
13764a4877a342
1434597d7b5120
151842779ce839
hexc355193da08

13423141444104 has 48 divisors (see below), whose sum is σ = 41547818757120. Its totient is φ = 3835183269600.

The previous prime is 13423141444057. The next prime is 13423141444151. The reversal of 13423141444104 is 40144414132431.

13423141444104 is a `hidden beast` number, since 1 + 3 + 4 + 231 + 4 + 1 + 4 + 4 + 410 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (13423141444057) and next prime (13423141444151).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 13316608072 + ... + 13316609079.

It is an arithmetic number, because the mean of its divisors is an integer number (865579557440).

Almost surely, 213423141444104 is an apocalyptic number.

13423141444104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13423141444104 is an abundant number, since it is smaller than the sum of its proper divisors (28124677313016).

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

13423141444104 is a wasteful number, since it uses less digits than its factorization.

13423141444104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26633217170 (or 26633217163 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 13423141444104 its reverse (40144414132431), we get a palindrome (53567555576535).

The spelling of 13423141444104 in words is "thirteen trillion, four hundred twenty-three billion, one hundred forty-one million, four hundred forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 26633217151 53266434302 79899651453 106532868604 159799302906 186432520057 213065737208 239698954359 319598605812 372865040114 479397908718 559297560171 639197211624 745730080228 958795817436 1118595120342 1491460160456 1677892680513 1917591634872 2237190240684 3355785361026 4474380481368 6711570722052 13423141444104