Search a number
-
+
41424123420312 = 23311511499570063
BaseRepresentation
bin10010110101100110011100…
…01010010101111010011000
312102200002220101101112022220
421122303032022111322120
520412143101043422222
6224033551331344040
711503536252302163
oct1132631612257230
9172602811345286
1041424123420312
1112220965823066
124790333152020
131a1637cc21629
14a32d1c88aada
154bc80aaebb5c
hex25acce295e98

41424123420312 has 32 divisors (see below), whose sum is σ = 103650282823680. Its totient is φ = 13796044570400.

The previous prime is 41424123420301. The next prime is 41424123420313. The reversal of 41424123420312 is 21302432142414.

41424123420312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×414241234203122 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41424123420313) 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 7 ways as a sum of consecutive naturals, for example, 749757408 + ... + 749812655.

It is an arithmetic number, because the mean of its divisors is an integer number (3239071338240).

Almost surely, 241424123420312 is an apocalyptic number.

It is an amenable number.

41424123420312 is an abundant number, since it is smaller than the sum of its proper divisors (62226159403368).

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

41424123420312 is a wasteful number, since it uses less digits than its factorization.

41424123420312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499571223 (or 1499571219 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 41424123420312 its reverse (21302432142414), we get a palindrome (62726555562726).

The spelling of 41424123420312 in words is "forty-one trillion, four hundred twenty-four billion, one hundred twenty-three million, four hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 1151 2302 3453 4604 6906 9208 13812 27624 1499570063 2999140126 4498710189 5998280252 8997420378 11996560504 17994840756 35989681512 1726005142513 3452010285026 5178015427539 6904020570052 10356030855078 13808041140104 20712061710156 41424123420312