Search a number
-
+
1241412414132 = 2231118715026531
BaseRepresentation
bin10010000100001001111…
…100100010101010110100
311101200022011110201102110
4102010021330202222310
5130314403034223012
62350144052211020
7155455233262212
oct22041174425264
94350264421373
101241412414132
11439530a42840
12180716609a70
13900ac174377
1444128519cb2
152245a6ba73c
hex12109f22ab4

1241412414132 has 48 divisors (see below), whose sum is σ = 3161648415744. Its totient is φ = 375984444000.

The previous prime is 1241412414131. The next prime is 1241412414191. The reversal of 1241412414132 is 2314142141421.

It is a super-2 number, since 2×12414124141322 (a number of 25 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1241412414132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1241412414131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2266294 + ... + 2760237.

It is an arithmetic number, because the mean of its divisors is an integer number (65867675328).

Almost surely, 21241412414132 is an apocalyptic number.

1241412414132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1241412414132 is an abundant number, since it is smaller than the sum of its proper divisors (1920236001612).

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

1241412414132 is a wasteful number, since it uses less digits than its factorization.

1241412414132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5028420 (or 5028418 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

Adding to 1241412414132 its reverse (2314142141421), we get a palindrome (3555554555553).

The spelling of 1241412414132 in words is "one trillion, two hundred forty-one billion, four hundred twelve million, four hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1871 3742 5613 7484 11226 20581 22452 41162 61743 82324 123486 246972 5026531 10053062 15079593 20106124 30159186 55291841 60318372 110583682 165875523 221167364 331751046 663502092 9404639501 18809279002 28213918503 37618558004 56427837006 103451034511 112855674012 206902069022 310353103533 413804138044 620706207066 1241412414132