Search a number
-
+
14107553952 = 2531011454987
BaseRepresentation
bin11010010001110000…
…00011000010100000
31100102011211222212020
431020320003002200
5212343013211302
610251513501440
71006412141622
oct151070030240
940364758766
1014107553952
115a8a38a0a8
122898711880
13143a998a7b
1497b8b2c12
155787caebc
hex348e030a0

14107553952 has 48 divisors (see below), whose sum is σ = 37399011552. Its totient is φ = 4655955200.

The previous prime is 14107553927. The next prime is 14107553963. The reversal of 14107553952 is 25935570141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 717798 + ... + 737189.

It is an arithmetic number, because the mean of its divisors is an integer number (779146074).

Almost surely, 214107553952 is an apocalyptic number.

14107553952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14107553952 is an abundant number, since it is smaller than the sum of its proper divisors (23291457600).

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

14107553952 is a wasteful number, since it uses less digits than its factorization.

14107553952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455101 (or 1455093 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 42.

The spelling of 14107553952 in words is "fourteen billion, one hundred seven million, five hundred fifty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1212 1616 2424 3232 4848 9696 1454987 2909974 4364961 5819948 8729922 11639896 17459844 23279792 34919688 46559584 69839376 139678752 146953687 293907374 440861061 587814748 881722122 1175629496 1763444244 2351258992 3526888488 4702517984 7053776976 14107553952