Search a number
-
+
145151541 = 3326320441
BaseRepresentation
bin10001010011011…
…01011000110101
3101010010110111000
420221231120311
5244124322131
622223033513
73411524223
oct1051553065
9333113430
10145151541
1174a30557
124073b899
13240c20b2
14153c5b13
15cb22ce6
hex8a6d635

145151541 has 16 divisors (see below), whose sum is σ = 215867520. Its totient is φ = 96395040.

The previous prime is 145151527. The next prime is 145151563.

145151541 is a `hidden beast` number, since 145 + 1 + 515 + 4 + 1 = 666.

145151541 is nontrivially palindromic in base 10.

145151541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 145151541 - 25 = 145151509 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145151581) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3120 + ... + 17321.

It is an arithmetic number, because the mean of its divisors is an integer number (13491720).

Almost surely, 2145151541 is an apocalyptic number.

It is an amenable number.

145151541 is a deficient number, since it is larger than the sum of its proper divisors (70715979).

145151541 is a wasteful number, since it uses less digits than its factorization.

145151541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20713 (or 20707 counting only the distinct ones).

The product of its digits is 2000, while the sum is 27.

The square root of 145151541 is about 12047.8853331197. The cubic root of 145151541 is about 525.5417428289.

The spelling of 145151541 in words is "one hundred forty-five million, one hundred fifty-one thousand, five hundred forty-one".

Divisors: 1 3 9 27 263 789 2367 7101 20441 61323 183969 551907 5375983 16127949 48383847 145151541