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141012344144 = 2471399057833
BaseRepresentation
bin1000001101010011111…
…1011001110101010000
3111110222101121021211202
42003110333121311100
54302243130003034
6144440303530332
713121263101650
oct2032477316520
9443871537752
10141012344144
11548918792a1
12233b48b99a8
13103b35319b9
146b79c70360
153a04a4047e
hex20d4fd9d50

141012344144 has 40 divisors (see below), whose sum is σ = 314487996480. Its totient is φ = 59999079168.

The previous prime is 141012344117. The next prime is 141012344149. The reversal of 141012344144 is 441443210141.

It is a happy number.

141012344144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141012344149) 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 7 ways as a sum of consecutive naturals, for example, 4513349 + ... + 4544484.

It is an arithmetic number, because the mean of its divisors is an integer number (7862199912).

Almost surely, 2141012344144 is an apocalyptic number.

141012344144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

141012344144 is an abundant number, since it is smaller than the sum of its proper divisors (173475652336).

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

141012344144 is a wasteful number, since it uses less digits than its factorization.

141012344144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9057987 (or 9057981 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 141012344144 its reverse (441443210141), we get a palindrome (582455554285).

The spelling of 141012344144 in words is "one hundred forty-one billion, twelve million, three hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 139 278 556 973 1112 1946 2224 3892 7784 15568 9057833 18115666 36231332 63404831 72462664 126809662 144925328 253619324 507238648 1014477296 1259038787 2518077574 5036155148 8813271509 10072310296 17626543018 20144620592 35253086036 70506172072 141012344144