Search a number
-
+
145165000527 = 3361347254003
BaseRepresentation
bin1000011100110010000…
…0100001111101001111
3111212200210120002111000
42013030200201331033
54334244220004102
6150404325431343
713326216100611
oct2071440417517
9455623502430
10145165000527
1156622949518
122417356b553
13108c5972421
1470515a0db1
153b993bc01c
hex21cc821f4f

145165000527 has 32 divisors (see below), whose sum is σ = 219215612160. Its totient is φ = 94915467360.

The previous prime is 145165000507. The next prime is 145165000531. The reversal of 145165000527 is 725000561541.

145165000527 is a `hidden beast` number, since 145 + 1 + 6 + 500 + 0 + 5 + 2 + 7 = 666.

It is not a de Polignac number, because 145165000527 - 214 = 145164984143 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 145165000491 and 145165000500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145165000507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 444508 + ... + 698510.

It is an arithmetic number, because the mean of its divisors is an integer number (6850487880).

Almost surely, 2145165000527 is an apocalyptic number.

145165000527 is the 190503-rd decagonal number.

145165000527 is a deficient number, since it is larger than the sum of its proper divisors (74050611633).

145165000527 is a wasteful number, since it uses less digits than its factorization.

145165000527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254420 (or 254414 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 145165000527 in words is "one hundred forty-five billion, one hundred sixty-five million, five hundred twenty-seven", and thus it is an aban number.

Divisors: 1 3 9 27 61 183 347 549 1041 1647 3123 9369 21167 63501 190503 254003 571509 762009 2286027 6858081 15494183 46482549 88139041 139447647 264417123 418342941 793251369 2379754107 5376481501 16129444503 48388333509 145165000527