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145949083249 is a prime number
BaseRepresentation
bin1000011111101100111…
…1100100011001110001
3111221201102221121202211
42013323033210121301
54342400431130444
6151014215212121
713354516511224
oct2077317443161
9457642847684
10145949083249
11569954a8472
1224352077041
13109bc2412b8
1470c77855bb
153be314cc34
hex21fb3e4671

145949083249 has 2 divisors, whose sum is σ = 145949083250. Its totient is φ = 145949083248.

The previous prime is 145949083207. The next prime is 145949083297. The reversal of 145949083249 is 942380949541.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 134207193649 + 11741889600 = 366343^2 + 108360^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-145949083249 is a prime.

It is a super-3 number, since 3×1459490832493 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 145949083193 and 145949083202.

It is not a weakly prime, because it can be changed into another prime (145949089249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72974541624 + 72974541625.

It is an arithmetic number, because the mean of its divisors is an integer number (72974541625).

Almost surely, 2145949083249 is an apocalyptic number.

It is an amenable number.

145949083249 is a deficient number, since it is larger than the sum of its proper divisors (1).

145949083249 is an equidigital number, since it uses as much as digits as its factorization.

145949083249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11197440, while the sum is 58.

The spelling of 145949083249 in words is "one hundred forty-five billion, nine hundred forty-nine million, eighty-three thousand, two hundred forty-nine".