Search a number
-
+
2431114002 = 232178219677
BaseRepresentation
bin1001000011100111…
…1101101100010010
320021102120101110100
42100321331230102
514434331122002
61041123113230
7114150061632
oct22071755422
96242511410
102431114002
111038333a29
1257a212816
132c98909c5
14190c3c6c2
15e367011c
hex90e7db12

2431114002 has 48 divisors (see below), whose sum is σ = 5584631832. Its totient is φ = 761694720.

The previous prime is 2431113991. The next prime is 2431114003. The reversal of 2431114002 is 2004111342.

2431114002 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2259005841 + 172108161 = 47529^2 + 13119^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2431114003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246388 + ... + 256064.

Almost surely, 22431114002 is an apocalyptic number.

2431114002 is an abundant number, since it is smaller than the sum of its proper divisors (3153517830).

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

2431114002 is a wasteful number, since it uses less digits than its factorization.

2431114002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10523 (or 10520 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2431114002 is about 49306.3282145406. The cubic root of 2431114002 is about 1344.6268367721.

Adding to 2431114002 its reverse (2004111342), we get a palindrome (4435225344).

The spelling of 2431114002 in words is "two billion, four hundred thirty-one million, one hundred fourteen thousand, two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 821 1642 2463 4926 7389 9677 13957 14778 19354 27914 29031 41871 58062 83742 87093 125613 164509 174186 251226 329018 493527 987054 1480581 2961162 7944817 15889634 23834451 47668902 71503353 135061889 143006706 270123778 405185667 810371334 1215557001 2431114002