Search a number
-
+
1423413111312 = 243273135408401
BaseRepresentation
bin10100101101101010000…
…010000110101000010000
312001002002002220002020200
4110231222002012220100
5141310122224030222
63005523522535200
7204560334546543
oct24555202065020
95032062802220
101423413111312
114a9736658365
121aba4a207500
13a42c54483aa
144cc71d1285a
152705d872eac
hex14b6a086a10

1423413111312 has 60 divisors (see below), whose sum is σ = 4038149364444. Its totient is φ = 467971430400.

The previous prime is 1423413111311. The next prime is 1423413111331. The reversal of 1423413111312 is 2131113143241.

1423413111312 is a `hidden beast` number, since 1 + 4 + 2 + 34 + 1 + 311 + 1 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 295135773696 + 1128277337616 = 543264^2 + 1062204^2 .

It is a super-2 number, since 2×14234131113122 (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 not an unprimeable number, because it can be changed into a prime (1423413111311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67693689 + ... + 67714712.

Almost surely, 21423413111312 is an apocalyptic number.

1423413111312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1423413111312 is an abundant number, since it is smaller than the sum of its proper divisors (2614736253132).

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

1423413111312 is a wasteful number, since it uses less digits than its factorization.

1423413111312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135408488 (or 135408479 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 1423413111312 its reverse (2131113143241), we get a palindrome (3554526254553).

The spelling of 1423413111312 in words is "one trillion, four hundred twenty-three billion, four hundred thirteen million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 2628 3504 5256 10512 135408401 270816802 406225203 541633604 812450406 1083267208 1218675609 1624900812 2166534416 2437351218 3249801624 4874702436 6499603248 9749404872 9884813273 19498809744 19769626546 29654439819 39539253092 59308879638 79078506184 88963319457 118617759276 158157012368 177926638914 237235518552 355853277828 474471037104 711706555656 1423413111312