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145453424354541 = 33431163107723887
BaseRepresentation
bin100001000100101000000011…
…101100001010010011101101
3201002000012201020021102222000
4201010220003230022103231
5123031102103113321131
61233204214121042513
742431443310336022
oct4104500354122355
9632005636242860
10145453424354541
11423894a60a3426
1214391a21626439
136321278454cb4
1427cbdaa273549
1511c389d914ce6
hex844a03b0a4ed

145453424354541 has 32 divisors (see below), whose sum is σ = 220687465912320. Its totient is φ = 94632417582192.

The previous prime is 145453424354531. The next prime is 145453424354549.

145453424354541 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 5 + 3 + 4 + 2 + 43 + 54 + 541 = 666.

145453424354541 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 145453424354541 - 25 = 145453424354509 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145453424354549) 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 in 31 ways as a sum of consecutive naturals, for example, 52511701 + ... + 55212186.

It is an arithmetic number, because the mean of its divisors is an integer number (6896483309760).

Almost surely, 2145453424354541 is an apocalyptic number.

It is an amenable number.

145453424354541 is a deficient number, since it is larger than the sum of its proper divisors (75234041557779).

145453424354541 is a wasteful number, since it uses less digits than its factorization.

145453424354541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107725102 (or 107725096 counting only the distinct ones).

The product of its digits is 46080000, while the sum is 54.

The spelling of 145453424354541 in words is "one hundred forty-five trillion, four hundred fifty-three billion, four hundred twenty-four million, three hundred fifty-four thousand, five hundred forty-one".

Divisors: 1 3 9 27 43 129 387 1161 1163 3489 10467 31401 50009 150027 450081 1350243 107723887 323171661 969514983 2908544949 4632127141 13896381423 41689144269 125067432807 125282880581 375848641743 1127545925229 3382637775687 5387163864983 16161491594949 48484474784847 145453424354541