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2544131412 = 223270670317
BaseRepresentation
bin1001011110100100…
…0101110101010100
320120022020021012100
42113221011311110
520202244201122
61100241322100
7120021521514
oct22751056524
96508207170
102544131412
111096106649
125b0036330
13317111604
141a1c5b844
15ed546aac
hex97a45d54

2544131412 has 18 divisors (see below), whose sum is σ = 6430998938. Its totient is φ = 848043792.

The previous prime is 2544131399. The next prime is 2544131417. The reversal of 2544131412 is 2141314452.

2544131412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2428912656 + 115218756 = 49284^2 + 10734^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×25441314122 = 12945209283050227488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2544131417) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35335123 + ... + 35335194.

Almost surely, 22544131412 is an apocalyptic number.

It is an amenable number.

2544131412 is an abundant number, since it is smaller than the sum of its proper divisors (3886867526).

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

2544131412 is a wasteful number, since it uses less digits than its factorization.

2544131412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70670327 (or 70670322 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 2544131412 is about 50439.3835410386. The cubic root of 2544131412 is about 1365.1483443817.

Adding to 2544131412 its reverse (2141314452), we get a palindrome (4685445864).

It can be divided in two parts, 2544 and 131412, that added together give a square (133956 = 3662).

The spelling of 2544131412 in words is "two billion, five hundred forty-four million, one hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 70670317 141340634 212010951 282681268 424021902 636032853 848043804 1272065706 2544131412