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145134431541 = 32119745733071
BaseRepresentation
bin1000011100101010101…
…1111010110100110101
3111212121200001000201100
42013022223322310311
54334213403302131
6150401314320313
713325365212321
oct2071253726465
9455550030640
10145134431541
115660766a5a0
1224165289099
13108bc52b478
14704b4c4981
153b9687e7e6
hex21caafad35

145134431541 has 48 divisors (see below), whose sum is σ = 231566969088. Its totient is φ = 86860339200.

The previous prime is 145134431531. The next prime is 145134431543.

145134431541 is a `hidden beast` number, since 1 + 4 + 51 + 34 + 4 + 31 + 541 = 666.

145134431541 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 145134431541 - 25 = 145134431509 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 145134431496 and 145134431505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145134431543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4372036 + ... + 4405106.

It is an arithmetic number, because the mean of its divisors is an integer number (4824311856).

Almost surely, 2145134431541 is an apocalyptic number.

145134431541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145134431541 is a deficient number, since it is larger than the sum of its proper divisors (86432537547).

145134431541 is a wasteful number, since it uses less digits than its factorization.

145134431541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33642 (or 33639 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

It can be divided in two parts, 145134 and 431541, that added together give a palindrome (576675).

The spelling of 145134431541 in words is "one hundred forty-five billion, one hundred thirty-four million, four hundred thirty-one thousand, five hundred forty-one".

Divisors: 1 3 9 11 33 97 99 291 457 873 1067 1371 3201 4113 5027 9603 15081 33071 44329 45243 99213 132987 297639 363781 398961 487619 1091343 1462857 3207887 3274029 4388571 9623661 15113447 28870983 35286757 45340341 105860271 136021023 166247917 317580813 498743751 1466004359 1496231253 4398013077 13194039231 16126047949 48378143847 145134431541