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40147146073 is a prime number
BaseRepresentation
bin100101011000111101…
…001101010101011001
310211121220221022222001
4211120331031111121
51124210132133243
630235432401001
72620612053046
oct453075152531
9124556838861
1040147146073
1116032021071
127945246161
133a2a6c2448
141d2bd521cd
15109e8a0a4d
hex958f4d559

40147146073 has 2 divisors, whose sum is σ = 40147146074. Its totient is φ = 40147146072.

The previous prime is 40147146049. The next prime is 40147146079. The reversal of 40147146073 is 37064174104.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35303403664 + 4843742409 = 187892^2 + 69597^2 .

It is a cyclic number.

It is not a de Polignac number, because 40147146073 - 25 = 40147146041 is a prime.

It is a super-2 number, since 2×401471460732 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40147146079) 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, 20073573036 + 20073573037.

It is an arithmetic number, because the mean of its divisors is an integer number (20073573037).

Almost surely, 240147146073 is an apocalyptic number.

It is an amenable number.

40147146073 is a deficient number, since it is larger than the sum of its proper divisors (1).

40147146073 is an equidigital number, since it uses as much as digits as its factorization.

40147146073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56448, while the sum is 37.

The spelling of 40147146073 in words is "forty billion, one hundred forty-seven million, one hundred forty-six thousand, seventy-three".