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20141331142401 = 327595418706253
BaseRepresentation
bin1001001010001100001001…
…11000110101011100000001
32122022111021222221102111100
410211012010320311130001
510114443421233024101
6110500444431005013
74146106650635550
oct445060470653401
978274258842440
1020141331142401
11646598838a167
122313637069769
13b3141c895951
144d8bba595d97
1524ddc7899e86
hex125184e35701

20141331142401 has 24 divisors (see below), whose sum is σ = 33812727024960. Its totient is φ = 11314258654176.

The previous prime is 20141331142397. The next prime is 20141331142411. The reversal of 20141331142401 is 10424113314102.

It is a happy number.

20141331142401 is a `hidden beast` number, since 2 + 0 + 1 + 413 + 3 + 1 + 1 + 4 + 240 + 1 = 666.

It is not a de Polignac number, because 20141331142401 - 22 = 20141331142397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20141331142411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2709349410 + ... + 2709356843.

It is an arithmetic number, because the mean of its divisors is an integer number (1408863626040).

Almost surely, 220141331142401 is an apocalyptic number.

20141331142401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20141331142401 is a deficient number, since it is larger than the sum of its proper divisors (13671395882559).

20141331142401 is a wasteful number, since it uses less digits than its factorization.

20141331142401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5418706325 (or 5418706322 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 20141331142401 its reverse (10424113314102), we get a palindrome (30565444456503).

The spelling of 20141331142401 in words is "twenty trillion, one hundred forty-one billion, three hundred thirty-one million, one hundred forty-two thousand, four hundred one".

Divisors: 1 3 7 9 21 59 63 177 413 531 1239 3717 5418706253 16256118759 37930943771 48768356277 113792831313 319703668927 341378493939 959111006781 2237925682489 2877333020343 6713777047467 20141331142401