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145444541 = 11229181229
BaseRepresentation
bin10001010101101…
…00111010111101
3101010200100101212
420222310322331
5244213211131
622233214205
73414154364
oct1052647275
9333610355
10145444541
1175110700
1240861365
1324195578
14154607db
15cb7ea2b
hex8ab4ebd

145444541 has 24 divisors (see below), whose sum is σ = 167021400. Its totient is φ = 126403200.

The previous prime is 145444531. The next prime is 145444547.

145444541 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 14822500 + 130622041 = 3850^2 + 11429^2 .

It is a de Polignac number, because none of the positive numbers 2k-145444541 is a prime.

It is a super-2 number, since 2×1454445412 = 42308229013401362, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 145444498 and 145444507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145444547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 635015 + ... + 635243.

It is an arithmetic number, because the mean of its divisors is an integer number (6959225).

Almost surely, 2145444541 is an apocalyptic number.

145444541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145444541 is a deficient number, since it is larger than the sum of its proper divisors (21576859).

145444541 is a wasteful number, since it uses less digits than its factorization.

145444541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 450 counting only the distinct ones).

The product of its digits is 25600, while the sum is 32.

The square root of 145444541 is about 12060.0390132039. The cubic root of 145444541 is about 525.8951211813.

The spelling of 145444541 in words is "one hundred forty-five million, four hundred forty-four thousand, five hundred forty-one".

Divisors: 1 11 29 121 181 229 319 1991 2519 3509 5249 6641 21901 27709 41449 57739 73051 455939 635129 803561 1202021 5015329 13222231 145444541