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104120300034414 = 2343531820730599
BaseRepresentation
bin10111101011001001100101…
…011111110101100101101110
3111122122210200201202011120000
4113223021211133311211232
5102121401333302100124
61005240112220005130
730634305045442566
oct2753114537654556
9448583621664500
10104120300034414
11301a3197a60194
12b8172659907a6
13461366b3393a1
141b9d641279da6
15c0861bc496c9
hex5eb2657f596e

104120300034414 has 40 divisors (see below), whose sum is σ = 233967523561200. Its totient is φ = 34608447206784.

The previous prime is 104120300034391. The next prime is 104120300034427. The reversal of 104120300034414 is 414430003021401.

104120300034414 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 2 + 0 + 300 + 0 + 344 + 14 = 666.

104120300034414 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 910308114 + ... + 910422485.

It is an arithmetic number, because the mean of its divisors is an integer number (5849188089030).

Almost surely, 2104120300034414 is an apocalyptic number.

104120300034414 is an abundant number, since it is smaller than the sum of its proper divisors (129847223526786).

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

104120300034414 is a wasteful number, since it uses less digits than its factorization.

104120300034414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820730966 (or 1820730957 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 104120300034414 its reverse (414430003021401), we get a palindrome (518550303055815).

The spelling of 104120300034414 in words is "one hundred four trillion, one hundred twenty billion, three hundred million, thirty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 353 706 1059 2118 3177 6354 9531 19062 28593 57186 1820730599 3641461198 5462191797 10924383594 16386575391 32773150782 49159726173 98319452346 147479178519 294958357038 642717901447 1285435802894 1928153704341 3856307408682 5784461113023 11568922226046 17353383339069 34706766678138 52060150017207 104120300034414