Search a number
-
+
415142241514 = 271113207363757
BaseRepresentation
bin1100000101010000110…
…01111110010011101010
31110200112222100221100121
412002220121332103222
523300202403212024
6514414054553454
741664416554510
oct6025031762352
91420488327317
10415142241514
11150073a77590
126855a36888a
13301bc79aa70
14161432524b0
15abeae588e4
hex60a867e4ea

415142241514 has 32 divisors (see below), whose sum is σ = 836090672256. Its totient is φ = 149301904320.

The previous prime is 415142241511. The next prime is 415142241517.

415142241514 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (415142241511) and next prime (415142241517).

It is a self number, because there is not a number n which added to its sum of digits gives 415142241514.

It is not an unprimeable number, because it can be changed into a prime (415142241511) 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 15 ways as a sum of consecutive naturals, for example, 103679877 + ... + 103683880.

It is an arithmetic number, because the mean of its divisors is an integer number (26127833508).

Almost surely, 2415142241514 is an apocalyptic number.

415142241514 is an abundant number, since it is smaller than the sum of its proper divisors (420948430742).

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

415142241514 is a wasteful number, since it uses less digits than its factorization.

415142241514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207363790.

The product of its digits is 25600, while the sum is 34.

It can be divided in two parts, 415142 and 241514, that added together give a palindrome (656656).

The spelling of 415142241514 in words is "four hundred fifteen billion, one hundred forty-two million, two hundred forty-one thousand, five hundred fourteen".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 207363757 414727514 1451546299 2281001327 2695728841 2903092598 4562002654 5391457682 15967009289 18870101887 29653017251 31934018578 37740203774 59306034502 207571120757 415142241514