Search a number
-
+
146088341289001 is a prime number
BaseRepresentation
bin100001001101110111010111…
…101100000011100000101001
3201011020220112200111112220001
4201031313113230003200221
5123122002410332222001
61234412020230303001
742525351166255546
oct4115672754034051
9634226480445801
10146088341289001
1142603799162651
1214474a95ab7a61
1363690c1041667
1428109db99dbcd
1511d515dda6001
hex84ddd7b03829

146088341289001 has 2 divisors, whose sum is σ = 146088341289002. Its totient is φ = 146088341289000.

The previous prime is 146088341288963. The next prime is 146088341289109. The reversal of 146088341289001 is 100982143880641.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100798065950976 + 45290275338025 = 10039824^2 + 6729805^2 .

It is a cyclic number.

It is not a de Polignac number, because 146088341289001 - 27 = 146088341288873 is a prime.

It is not a weakly prime, because it can be changed into another prime (146088341289901) 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, 73044170644500 + 73044170644501.

It is an arithmetic number, because the mean of its divisors is an integer number (73044170644501).

Almost surely, 2146088341289001 is an apocalyptic number.

It is an amenable number.

146088341289001 is a deficient number, since it is larger than the sum of its proper divisors (1).

146088341289001 is an equidigital number, since it uses as much as digits as its factorization.

146088341289001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2654208, while the sum is 55.

The spelling of 146088341289001 in words is "one hundred forty-six trillion, eighty-eight billion, three hundred forty-one million, two hundred eighty-nine thousand, one".