Search a number
-
+
144004430013151 = 1724710601813297
BaseRepresentation
bin100000101111100010100100…
…111001011010001011011111
3200212212200121022210020010111
4200233202210321122023133
5122333332033040410101
61230134415531350451
742221656006552351
oct4057424471321337
9625780538706114
10144004430013151
114197aa32611304
12141990342b2427
13624773724a096
14277bbccb190d1
15119ad4435d251
hex82f8a4e5a2df

144004430013151 has 12 divisors (see below), whose sum is σ = 156228320759328. Its totient is φ = 132649887959552.

The previous prime is 144004430013127. The next prime is 144004430013251. The reversal of 144004430013151 is 151310034400441.

It is not a de Polignac number, because 144004430013151 - 211 = 144004430011103 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144004430013251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5300893066 + ... + 5300920231.

It is an arithmetic number, because the mean of its divisors is an integer number (13019026729944).

Almost surely, 2144004430013151 is an apocalyptic number.

144004430013151 is a deficient number, since it is larger than the sum of its proper divisors (12223890746177).

144004430013151 is a wasteful number, since it uses less digits than its factorization.

144004430013151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10601813378 (or 10601813361 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 144004430013151 its reverse (151310034400441), we get a palindrome (295314464413592).

The spelling of 144004430013151 in words is "one hundred forty-four trillion, four billion, four hundred thirty million, thirteen thousand, one hundred fifty-one".

Divisors: 1 17 47 289 799 13583 10601813297 180230826049 498285224959 3063924042833 8470848824303 144004430013151