Search a number
-
+
42033021231329 is a prime number
BaseRepresentation
bin10011000111010100100110…
…10011001010000011100001
312111211022120112001012220022
421203222103103022003201
521002132111413400304
6225221411532523225
711565533310301202
oct1143522323120341
9174738515035808
1042033021231329
1112436116760787
12486a345920515
131a5b90a10016b
14a545a27455a9
154cd596bacebe
hex263a934ca0e1

42033021231329 has 2 divisors, whose sum is σ = 42033021231330. Its totient is φ = 42033021231328.

The previous prime is 42033021231301. The next prime is 42033021231371. The reversal of 42033021231329 is 92313212033024.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26198550876304 + 15834470355025 = 5118452^2 + 3979255^2 .

It is a cyclic number.

It is not a de Polignac number, because 42033021231329 - 232 = 42028726264033 is a prime.

It is a super-2 number, since 2×420330212313292 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (42033021237329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21016510615664 + 21016510615665.

It is an arithmetic number, because the mean of its divisors is an integer number (21016510615665).

Almost surely, 242033021231329 is an apocalyptic number.

It is an amenable number.

42033021231329 is a deficient number, since it is larger than the sum of its proper divisors (1).

42033021231329 is an equidigital number, since it uses as much as digits as its factorization.

42033021231329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46656, while the sum is 35.

The spelling of 42033021231329 in words is "forty-two trillion, thirty-three billion, twenty-one million, two hundred thirty-one thousand, three hundred twenty-nine".