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4141403430101 = 727311310245901
BaseRepresentation
bin111100010000111110111…
…000010101110011010101
3112122220200112012012211222
4330100332320111303111
51020323043234230401
612450311240140125
7605130560222300
oct74207670256325
915586615165758
104141403430101
1113573a52a75a3
1256a76b767645
132406c036a532
141046330d3b37
1572ad9eecc1b
hex3c43ee15cd5

4141403430101 has 24 divisors (see below), whose sum is σ = 4926762468504. Its totient is φ = 3470163379200.

The previous prime is 4141403430019. The next prime is 4141403430107. The reversal of 4141403430101 is 1010343041414.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 72009039025 + 4069394391076 = 268345^2 + 2017274^2 .

It is a de Polignac number, because none of the positive numbers 2k-4141403430101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141403430107) 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, 4718750 + ... + 5527151.

It is an arithmetic number, because the mean of its divisors is an integer number (205281769521).

Almost surely, 24141403430101 is an apocalyptic number.

It is an amenable number.

4141403430101 is a deficient number, since it is larger than the sum of its proper divisors (785359038403).

4141403430101 is a wasteful number, since it uses less digits than its factorization.

4141403430101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10246101 (or 10246094 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 4141403430101 its reverse (1010343041414), we get a palindrome (5151746471515).

The spelling of 4141403430101 in words is "four trillion, one hundred forty-one billion, four hundred three million, four hundred thirty thousand, one hundred one".

Divisors: 1 7 49 73 113 511 791 3577 5537 8249 57743 404201 10245901 71721307 502049149 747950773 1157786813 5235655411 8104507691 36649587877 56731553837 84518437349 591629061443 4141403430101