Search a number
-
+
14324242000181 is a prime number
BaseRepresentation
bin1101000001110001111101…
…0110110010100100110101
31212201101101001110012001012
43100130133112302210311
53334142021423001211
650244244350242005
73005615033026331
oct320343726624465
955641331405035
1014324242000181
1146229711a4483
1217341737b6305
137cba02250259
143774230027c1
1519c916951d8b
hexd071f5b2935

14324242000181 has 2 divisors, whose sum is σ = 14324242000182. Its totient is φ = 14324242000180.

The previous prime is 14324242000153. The next prime is 14324242000247. The reversal of 14324242000181 is 18100024242341.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14113132995025 + 211109005156 = 3756745^2 + 459466^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-14324242000181 is a prime.

It is a super-2 number, since 2×143242420001812 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (14324242000381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7162121000090 + 7162121000091.

It is an arithmetic number, because the mean of its divisors is an integer number (7162121000091).

Almost surely, 214324242000181 is an apocalyptic number.

It is an amenable number.

14324242000181 is a deficient number, since it is larger than the sum of its proper divisors (1).

14324242000181 is an equidigital number, since it uses as much as digits as its factorization.

14324242000181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12288, while the sum is 32.

The spelling of 14324242000181 in words is "fourteen trillion, three hundred twenty-four billion, two hundred forty-two million, one hundred eighty-one", and thus it is an aban number.