Search a number
-
+
46446376046141 is a prime number
BaseRepresentation
bin10101000111110001000111…
…01111101100111000111101
320002110020012210202011201002
422203320203233230320331
522041434134231434031
6242441100503100045
712532432332252431
oct1243704357547075
9202406183664632
1046446376046141
1113887885472785
125261751441625
131cbbb4a2894c6
14b680337749c1
1555829bbedccb
hex2a3e23bece3d

46446376046141 has 2 divisors, whose sum is σ = 46446376046142. Its totient is φ = 46446376046140.

The previous prime is 46446376046099. The next prime is 46446376046179. The reversal of 46446376046141 is 14164067364464.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33622428295225 + 12823947750916 = 5798485^2 + 3581054^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-46446376046141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (46446376046341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23223188023070 + 23223188023071.

It is an arithmetic number, because the mean of its divisors is an integer number (23223188023071).

Almost surely, 246446376046141 is an apocalyptic number.

It is an amenable number.

46446376046141 is a deficient number, since it is larger than the sum of its proper divisors (1).

46446376046141 is an equidigital number, since it uses as much as digits as its factorization.

46446376046141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27869184, while the sum is 56.

The spelling of 46446376046141 in words is "forty-six trillion, four hundred forty-six billion, three hundred seventy-six million, forty-six thousand, one hundred forty-one".