Search a number
-
+
14012004341441 is a prime number
BaseRepresentation
bin1100101111100110110010…
…0010101001011011000001
31211121112102200012200110002
43023321230202221123001
53314033041102411231
645445005333445345
72644222346515421
oct313715442513301
954545380180402
1014012004341441
114512504182027
1216a3753aa0855
137a8431c78872
1436628289a481
1519473ec2a0cb
hexcbe6c8a96c1

14012004341441 has 2 divisors, whose sum is σ = 14012004341442. Its totient is φ = 14012004341440.

The previous prime is 14012004341417. The next prime is 14012004341453. The reversal of 14012004341441 is 14414340021041.

It is a happy number.

14012004341441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10973345260816 + 3038659080625 = 3312604^2 + 1743175^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-14012004341441 is a prime.

It is a super-2 number, since 2×140120043414412 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (14012004341941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7006002170720 + 7006002170721.

It is an arithmetic number, because the mean of its divisors is an integer number (7006002170721).

Almost surely, 214012004341441 is an apocalyptic number.

It is an amenable number.

14012004341441 is a deficient number, since it is larger than the sum of its proper divisors (1).

14012004341441 is an equidigital number, since it uses as much as digits as its factorization.

14012004341441 is an evil number, because the sum of its binary digits is even.

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

Adding to 14012004341441 its reverse (14414340021041), we get a palindrome (28426344362482).

The spelling of 14012004341441 in words is "fourteen trillion, twelve billion, four million, three hundred forty-one thousand, four hundred forty-one".