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434213213410044 = 223212061478150279
BaseRepresentation
bin110001010111010100010010…
…0010101111001001011111100
32002221102101012102022001001200
41202232220210111321023330
5423403122130113110134
64135254444011335500
7160313604132405225
oct14256504425711374
92087371172261050
10434213213410044
11116398876067002
124084951a751590
1315839190447603
147932062c5424c
15352ed37391499
hex18aea245792fc

434213213410044 has 18 divisors (see below), whose sum is σ = 1097594511675480. Its totient is φ = 144737737803336.

The previous prime is 434213213410021. The next prime is 434213213410127. The reversal of 434213213410044 is 440014312312434.

434213213410044 is a `hidden beast` number, since 4 + 3 + 4 + 21 + 3 + 213 + 410 + 0 + 4 + 4 = 666.

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

It is a super-2 number, since 2×4342132134100442 (a number of 30 digits) contains 22 as substring.

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: 12061478150279 = 434213213410044 / (4 + 3 + 4 + 2 + 1 + 3 + 2 + 1 + 3 + 4 + 1 + 0 + 0 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 434213213409990 and 434213213410008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6030739075104 + ... + 6030739075175.

It is an arithmetic number, because the mean of its divisors is an integer number (60977472870860).

Almost surely, 2434213213410044 is an apocalyptic number.

It is an amenable number.

434213213410044 is an abundant number, since it is smaller than the sum of its proper divisors (663381298265436).

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

434213213410044 is a wasteful number, since it uses less digits than its factorization.

434213213410044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12061478150289 (or 12061478150284 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 434213213410044 its reverse (440014312312434), we get a palindrome (874227525722478).

The spelling of 434213213410044 in words is "four hundred thirty-four trillion, two hundred thirteen billion, two hundred thirteen million, four hundred ten thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 12061478150279 24122956300558 36184434450837 48245912601116 72368868901674 108553303352511 144737737803348 217106606705022 434213213410044