Search a number
-
+
14111101344 = 253791860641
BaseRepresentation
bin11010010010001011…
…00101000110100000
31100102102112012222010
431021011211012200
5212344420220334
610252121512520
71006454245104
oct151105450640
940372465863
1014111101344
115a9139232a
122899942740
13143b63b612
1497c157904
15578c7c0e9
hex3491651a0

14111101344 has 48 divisors (see below), whose sum is σ = 37510542720. Its totient is φ = 4644157440.

The previous prime is 14111101309. The next prime is 14111101349. The reversal of 14111101344 is 44310111141.

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

It is a super-2 number, since 2×141111013442 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14111101344.

It is not an unprimeable number, because it can be changed into a prime (14111101349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 922737 + ... + 937904.

It is an arithmetic number, because the mean of its divisors is an integer number (781469640).

Almost surely, 214111101344 is an apocalyptic number.

It is an amenable number.

14111101344 is an abundant number, since it is smaller than the sum of its proper divisors (23399441376).

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

14111101344 is a wasteful number, since it uses less digits than its factorization.

14111101344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860733 (or 1860725 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 14111101344 its reverse (44310111141), we get a palindrome (58421212485).

The spelling of 14111101344 in words is "fourteen billion, one hundred eleven million, one hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 3792 7584 1860641 3721282 5581923 7442564 11163846 14885128 22327692 29770256 44655384 59540512 89310768 146990639 178621536 293981278 440971917 587962556 881943834 1175925112 1763887668 2351850224 3527775336 4703700448 7055550672 14111101344