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6401434541 = 173301114073
BaseRepresentation
bin1011111011000111…
…00010001110101101
3121112010102120100012
411331203202032231
5101102231401131
62535112543005
7314430203315
oct57543421655
917463376305
106401434541
112795496577
1212a79b1a65
137b02c02b8
1444a268445
15276ed152b
hex17d8e23ad

6401434541 has 8 divisors (see below), whose sum is σ = 6780102264. Its totient is φ = 6023001600.

The previous prime is 6401434517. The next prime is 6401434549. The reversal of 6401434541 is 1454341046.

It can be written as a sum of positive squares in 4 ways, for example, as 409900516 + 5991534025 = 20246^2 + 77405^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 6401434541 - 210 = 6401433517 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6401434498 and 6401434507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6401434549) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 920 + ... + 113153.

It is an arithmetic number, because the mean of its divisors is an integer number (847512783).

Almost surely, 26401434541 is an apocalyptic number.

It is an amenable number.

6401434541 is a deficient number, since it is larger than the sum of its proper divisors (378667723).

6401434541 is a wasteful number, since it uses less digits than its factorization.

6401434541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117391.

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 6401434541 is about 80008.9653788874. The cubic root of 6401434541 is about 1856.7742428628.

Adding to 6401434541 its reverse (1454341046), we get a palindrome (7855775587).

The spelling of 6401434541 in words is "six billion, four hundred one million, four hundred thirty-four thousand, five hundred forty-one".

Divisors: 1 17 3301 56117 114073 1939241 376554973 6401434541