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146401657361 is a prime number
BaseRepresentation
bin1000100001011000111…
…0000000001000010001
3111222212222112202201222
42020112032000020101
54344312311013421
6151131143334425
713401653361251
oct2102616001021
9458788482658
10146401657361
11570a7a12063
1224459751415
1310a61c2c82b
14712b913961
153c1cc48cab
hex2216380211

146401657361 has 2 divisors, whose sum is σ = 146401657362. Its totient is φ = 146401657360.

The previous prime is 146401657343. The next prime is 146401657421. The reversal of 146401657361 is 163756104641.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103021098961 + 43380558400 = 320969^2 + 208280^2 .

It is a cyclic number.

It is not a de Polignac number, because 146401657361 - 214 = 146401640977 is a prime.

It is not a weakly prime, because it can be changed into another prime (146401657561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73200828680 + 73200828681.

It is an arithmetic number, because the mean of its divisors is an integer number (73200828681).

Almost surely, 2146401657361 is an apocalyptic number.

It is an amenable number.

146401657361 is a deficient number, since it is larger than the sum of its proper divisors (1).

146401657361 is an equidigital number, since it uses as much as digits as its factorization.

146401657361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 146401657361 in words is "one hundred forty-six billion, four hundred one million, six hundred fifty-seven thousand, three hundred sixty-one".