Search a number
-
+
13949245000 = 23542789849
BaseRepresentation
bin11001111110111000…
…01001011001001000
31100000010222001210201
430333130021121020
5212032001320000
610224100421544
71002450424525
oct147734113110
940003861721
1013949245000
115a08a92259
1228536a78b4
131413c4ac32
1496486414c
1556995996a
hex33f709648

13949245000 has 40 divisors (see below), whose sum is σ = 32683092750. Its totient is φ = 5579696000.

The previous prime is 13949244949. The next prime is 13949245001. The reversal of 13949245000 is 54294931.

13949245000 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 5 ways, for example, as 401681764 + 13547563236 = 20042^2 + 116394^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (13949245001) 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 9 ways as a sum of consecutive naturals, for example, 1389925 + ... + 1399924.

Almost surely, 213949245000 is an apocalyptic number.

13949245000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13949245000 is an abundant number, since it is smaller than the sum of its proper divisors (18733847750).

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

13949245000 is an equidigital number, since it uses as much as digits as its factorization.

13949245000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789875 (or 2789856 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 13949245000 in words is "thirteen billion, nine hundred forty-nine million, two hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 2789849 5579698 11159396 13949245 22318792 27898490 55796980 69746225 111593960 139492450 278984900 348731125 557969800 697462250 1394924500 1743655625 2789849000 3487311250 6974622500 13949245000