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154144503666401 is a prime number
BaseRepresentation
bin100011000011000110010000…
…011000101001011011100001
3202012210001220111022022222012
4203003012100120221123201
5130201000420414311101
61303501001333122305
744316400332516533
oct4303062030513341
9665701814268865
10154144503666401
114512a353865216
12153562a2489395
1368019c22b4ba1
142a0c8c3169853
1512c49bb6c0bbb
hex8c31906296e1

154144503666401 has 2 divisors, whose sum is σ = 154144503666402. Its totient is φ = 154144503666400.

The previous prime is 154144503666397. The next prime is 154144503666407. The reversal of 154144503666401 is 104666305441451.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 152675678440000 + 1468825226401 = 12356200^2 + 1211951^2 .

It is a cyclic number.

It is not a de Polignac number, because 154144503666401 - 22 = 154144503666397 is a prime.

It is a super-2 number, since 2×1541445036664012 (a number of 29 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 154144503666401.

It is not a weakly prime, because it can be changed into another prime (154144503666407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 77072251833200 + 77072251833201.

It is an arithmetic number, because the mean of its divisors is an integer number (77072251833201).

Almost surely, 2154144503666401 is an apocalyptic number.

It is an amenable number.

154144503666401 is a deficient number, since it is larger than the sum of its proper divisors (1).

154144503666401 is an equidigital number, since it uses as much as digits as its factorization.

154144503666401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4147200, while the sum is 50.

The spelling of 154144503666401 in words is "one hundred fifty-four trillion, one hundred forty-four billion, five hundred three million, six hundred sixty-six thousand, four hundred one".