Search a number
-
+
13844867120 = 245724722977
BaseRepresentation
bin11001110010011011…
…11110100000110000
31022201212120010021022
430321031332200300
5211323241221440
610205451315012
71000042300040
oct147115764060
938655503238
1013844867120
115965080647
12282474ba68
1313c8433886
14954a53720
155606dccb5
hex33937e830

13844867120 has 40 divisors (see below), whose sum is σ = 36787791264. Its totient is φ = 4746811392.

The previous prime is 13844867117. The next prime is 13844867129. The reversal of 13844867120 is 2176844831.

13844867120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (13844867129) 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 7 ways as a sum of consecutive naturals, for example, 12360929 + ... + 12362048.

Almost surely, 213844867120 is an apocalyptic number.

13844867120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13844867120 is an abundant number, since it is smaller than the sum of its proper divisors (22942924144).

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

13844867120 is a wasteful number, since it uses less digits than its factorization.

13844867120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24722997 (or 24722991 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The spelling of 13844867120 in words is "thirteen billion, eight hundred forty-four million, eight hundred sixty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 24722977 49445954 98891908 123614885 173060839 197783816 247229770 346121678 395567632 494459540 692243356 865304195 988919080 1384486712 1730608390 1977838160 2768973424 3461216780 6922433560 13844867120