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145424541 = 33773131137
BaseRepresentation
bin10001010101100…
…00000010011101
3101010122022222010
420222300002131
5244212041131
622232541433
73414042153
oct1052600235
9333568863
10145424541
11750a7679
1240851879
1324189432
14154573d3
15cb78b46
hex8ab009d

145424541 has 32 divisors (see below), whose sum is σ = 204893568. Its totient is φ = 91653120.

The previous prime is 145424507. The next prime is 145424563.

145424541 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 145424541 - 29 = 145424029 is a prime.

It is a super-2 number, since 2×1454245412 = 42296594250121362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145424499 and 145424508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145424501) 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 in 31 ways as a sum of consecutive naturals, for example, 1061425 + ... + 1061561.

It is an arithmetic number, because the mean of its divisors is an integer number (6402924).

Almost surely, 2145424541 is an apocalyptic number.

It is an amenable number.

145424541 is a deficient number, since it is larger than the sum of its proper divisors (59469027).

145424541 is a wasteful number, since it uses less digits than its factorization.

145424541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381.

The product of its digits is 12800, while the sum is 30.

The square root of 145424541 is about 12059.2097999828. The cubic root of 145424541 is about 525.8710148919.

The spelling of 145424541 in words is "one hundred forty-five million, four hundred twenty-four thousand, five hundred forty-one".

Divisors: 1 3 37 73 111 131 137 219 393 411 2701 4847 5069 8103 9563 10001 14541 15207 17947 28689 30003 53841 353831 370037 664039 1061493 1110111 1310131 1992117 3930393 48474847 145424541