Search a number
-
+
13899509442 = 23472133797
BaseRepresentation
bin11001111000111100…
…11010111011000010
31022212200101020110000
430330132122323002
5211431233300232
610215122420430
71001304611100
oct147436327302
938780336400
1013899509442
115992a02195
12283ab01716
131406856000
1495bdd8c70
155653d327c
hex33c79aec2

13899509442 has 240 divisors, whose sum is σ = 39297174840. Its totient is φ = 3661205184.

The previous prime is 13899509423. The next prime is 13899509443. The reversal of 13899509442 is 24490599831.

13899509442 is a `hidden beast` number, since 1 + 3 + 8 + 99 + 509 + 4 + 42 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 505845081 + 13393664361 = 22491^2 + 115731^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13899509443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17439388 + ... + 17440184.

Almost surely, 213899509442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13899509442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19648587420).

13899509442 is an abundant number, since it is smaller than the sum of its proper divisors (25397665398).

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

13899509442 is an equidigital number, since it uses as much as digits as its factorization.

13899509442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 13899509442 in words is "thirteen billion, eight hundred ninety-nine million, five hundred nine thousand, four hundred forty-two".