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134410241413134 = 23237279172309989
BaseRepresentation
bin11110100011111011010010…
…101100011001000000001110
3122121220111022211022001101100
4132203323102230121000032
5120104134133300210014
61153511113521123530
740211551040200131
oct3643732254310016
9577814284261340
10134410241413134
1139911077234495
12130a9731a895a6
1359ccaa670350b
1425296c1906218
1510814bb0e5009
hex7a3ed2b1900e

134410241413134 has 48 divisors (see below), whose sum is σ = 299200227262560. Its totient is φ = 43576891168320.

The previous prime is 134410241413109. The next prime is 134410241413139. The reversal of 134410241413134 is 431314142014431.

134410241413134 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 102 + 4 + 1 + 413 + 134 = 666.

It is a super-2 number, since 2×1344102414131342 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134410241413139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34296189 + ... + 38013800.

It is an arithmetic number, because the mean of its divisors is an integer number (6233338067970).

Almost surely, 2134410241413134 is an apocalyptic number.

134410241413134 is an abundant number, since it is smaller than the sum of its proper divisors (164789985849426).

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

134410241413134 is a wasteful number, since it uses less digits than its factorization.

134410241413134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72312825 (or 72312822 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 134410241413134 its reverse (431314142014431), we get a palindrome (565724383427565).

The spelling of 134410241413134 in words is "one hundred thirty-four trillion, four hundred ten billion, two hundred forty-one million, four hundred thirteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 2791 5582 8373 16746 25119 50238 103267 206534 309801 619602 929403 1858806 72309989 144619978 216929967 433859934 650789901 1301579802 2675469593 5350939186 8026408779 16052817558 24079226337 48158452674 201817179299 403634358598 605451537897 1210903075794 1816354613691 3632709227382 7467235634063 14934471268126 22401706902189 44803413804378 67205120706567 134410241413134