Search a number
-
+
10144011433001 = 1913717345174987
BaseRepresentation
bin1001001110011101011000…
…1100101011010000101001
31022220202110121011001011012
42103213112030223100221
52312144413411324001
633324032225513305
72064611026335455
oct223472614532051
938822417131135
1010144011433001
113261062000146
121179b88aa2835
13587764b12ac4
14270d89409665
15128d07de72bb
hex939d632b429

10144011433001 has 32 divisors (see below), whose sum is σ = 10822584908160. Its totient is φ = 9480823635456.

The previous prime is 10144011432913. The next prime is 10144011433069. The reversal of 10144011433001 is 10033411044101.

It is a cyclic number.

It is not a de Polignac number, because 10144011433001 - 210 = 10144011431977 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10144011436001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2034088430 + ... + 2034093416.

It is an arithmetic number, because the mean of its divisors is an integer number (338205778380).

Almost surely, 210144011433001 is an apocalyptic number.

It is an amenable number.

10144011433001 is a deficient number, since it is larger than the sum of its proper divisors (678573475159).

10144011433001 is a wasteful number, since it uses less digits than its factorization.

10144011433001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9833.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 10144011433001 its reverse (10033411044101), we get a palindrome (20177422477102).

The spelling of 10144011433001 in words is "ten trillion, one hundred forty-four billion, eleven million, four hundred thirty-three thousand, one".

Divisors: 1 19 137 173 2603 3287 4517 4987 23701 85823 94753 450319 618829 683219 781441 862751 11757751 12981161 14847379 16392269 22526279 107057417 118196887 427999301 2034090923 2245740853 3086100223 3897046267 58635904237 74043879073 533895338579 10144011433001