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434241043144101 = 3248249004793789
BaseRepresentation
bin110001010111100001001111…
…1000111111001110110100101
32002221112001000220212000020200
41202233002133013321312211
5423404101124021102401
64135315325315221113
7160315610600265144
oct14257023707716645
92087461026760220
10434241043144101
111163a965723a116
12408529a68a7799
131583b9a6cbbc7b
147933542d6175b
1535309156c3686
hex18af09f1f9da5

434241043144101 has 6 divisors (see below), whose sum is σ = 627237062319270. Its totient is φ = 289494028762728.

The previous prime is 434241043144087. The next prime is 434241043144199. The reversal of 434241043144101 is 101441340142434.

434241043144101 is a `hidden beast` number, since 4 + 3 + 42 + 41 + 0 + 431 + 44 + 101 = 666.

It can be written as a sum of positive squares in only one way, i.e., 386546466816225 + 47694576327876 = 19660785^2 + 6906126^2 .

It is not a de Polignac number, because 434241043144101 - 246 = 363872298966437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434241043144501) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24124502396886 + ... + 24124502396903.

It is an arithmetic number, because the mean of its divisors is an integer number (104539510386545).

Almost surely, 2434241043144101 is an apocalyptic number.

It is an amenable number.

434241043144101 is a deficient number, since it is larger than the sum of its proper divisors (192996019175169).

434241043144101 is a wasteful number, since it uses less digits than its factorization.

434241043144101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48249004793795 (or 48249004793792 counting only the distinct ones).

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

Adding to 434241043144101 its reverse (101441340142434), we get a palindrome (535682383286535).

The spelling of 434241043144101 in words is "four hundred thirty-four trillion, two hundred forty-one billion, forty-three million, one hundred forty-four thousand, one hundred one".

Divisors: 1 3 9 48249004793789 144747014381367 434241043144101