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153332040409 is a prime number
BaseRepresentation
bin1000111011001101001…
…1010100001011011001
3112122202222021201000121
42032303103110023121
510003011000243114
6154234553433241
714035465560532
oct2166323241331
9478688251017
10153332040409
115a033a37459
122587270b821
13115c799c3c2
1475c810b689
153ec63b0a24
hex23b34d42d9

153332040409 has 2 divisors, whose sum is σ = 153332040410. Its totient is φ = 153332040408.

The previous prime is 153332040401. The next prime is 153332040509. The reversal of 153332040409 is 904040233351.

153332040409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 153135255625 + 196784784 = 391325^2 + 14028^2 .

It is a cyclic number.

It is not a de Polignac number, because 153332040409 - 23 = 153332040401 is a prime.

It is not a weakly prime, because it can be changed into another prime (153332040401) 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, 76666020204 + 76666020205.

It is an arithmetic number, because the mean of its divisors is an integer number (76666020205).

Almost surely, 2153332040409 is an apocalyptic number.

It is an amenable number.

153332040409 is a deficient number, since it is larger than the sum of its proper divisors (1).

153332040409 is an equidigital number, since it uses as much as digits as its factorization.

153332040409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 34.

The spelling of 153332040409 in words is "one hundred fifty-three billion, three hundred thirty-two million, forty thousand, four hundred nine".