Search a number
-
+
138741166393 is a prime number
BaseRepresentation
bin1000000100110110011…
…1100011000100111001
3111021010002222111200021
42001031213203010321
54233120214311033
6143423052410441
713011064312324
oct2011547430471
9437102874607
10138741166393
1153926853895
1222a80176a21
1310110b3b73b
146a023857bb
153920463b2d
hex204d9e3139

138741166393 has 2 divisors, whose sum is σ = 138741166394. Its totient is φ = 138741166392.

The previous prime is 138741166349. The next prime is 138741166423. The reversal of 138741166393 is 393661147831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 136376581264 + 2364585129 = 369292^2 + 48627^2 .

It is a cyclic number.

It is not a de Polignac number, because 138741166393 - 237 = 1302212921 is a prime.

It is a super-2 number, since 2×1387411663932 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 138741166393.

It is not a weakly prime, because it can be changed into another prime (138741166303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69370583196 + 69370583197.

It is an arithmetic number, because the mean of its divisors is an integer number (69370583197).

Almost surely, 2138741166393 is an apocalyptic number.

It is an amenable number.

138741166393 is a deficient number, since it is larger than the sum of its proper divisors (1).

138741166393 is an equidigital number, since it uses as much as digits as its factorization.

138741166393 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1959552, while the sum is 52.

The spelling of 138741166393 in words is "one hundred thirty-eight billion, seven hundred forty-one million, one hundred sixty-six thousand, three hundred ninety-three".