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145416271 = 72111320753
BaseRepresentation
bin10001010101011…
…10000001001111
3101010121220121211
420222232001033
5244211310041
622232435251
73414006100
oct1052560117
9333556554
10145416271
11750a1440
1240848b27
1324185740
14154543a7
15cb76481
hex8aae04f

145416271 has 24 divisors (see below), whose sum is σ = 198740304. Its totient is φ = 104590080.

The previous prime is 145416263. The next prime is 145416277. The reversal of 145416271 is 172614541.

It is not a de Polignac number, because 145416271 - 23 = 145416263 is a prime.

It is a super-2 number, since 2×1454162712 = 42291783743090882, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145416277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3370 + ... + 17383.

It is an arithmetic number, because the mean of its divisors is an integer number (8280846).

Almost surely, 2145416271 is an apocalyptic number.

145416271 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

145416271 is a deficient number, since it is larger than the sum of its proper divisors (53324033).

145416271 is a wasteful number, since it uses less digits than its factorization.

145416271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20791 (or 20784 counting only the distinct ones).

The product of its digits is 6720, while the sum is 31.

The square root of 145416271 is about 12058.8669036523. The cubic root of 145416271 is about 525.8610462954.

The spelling of 145416271 in words is "one hundred forty-five million, four hundred sixteen thousand, two hundred seventy-one".

Divisors: 1 7 11 13 49 77 91 143 539 637 1001 7007 20753 145271 228283 269789 1016897 1597981 1888523 2967679 11185867 13219661 20773753 145416271