Search a number
-
+
145313505 = 3253229189
BaseRepresentation
bin10001010100101…
…00111011100001
3101010102200122200
420222110323201
5244200013010
622230323413
73413100351
oct1052247341
9333380580
10145313505
1175031207
12407b9569
132414aa2c
1415428b61
15cb55cc0
hex8a94ee1

145313505 has 12 divisors (see below), whose sum is σ = 251876820. Its totient is φ = 77500512.

The previous prime is 145313503. The next prime is 145313521. The reversal of 145313505 is 505313541.

145313505 is a `hidden beast` number, since 145 + 3 + 13 + 505 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56972304 + 88341201 = 7548^2 + 9399^2 .

It is not a de Polignac number, because 145313505 - 21 = 145313503 is a prime.

It is a super-2 number, since 2×1453135052 = 42232029470770050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145313503) 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 11 ways as a sum of consecutive naturals, for example, 1614550 + ... + 1614639.

It is an arithmetic number, because the mean of its divisors is an integer number (20989735).

Almost surely, 2145313505 is an apocalyptic number.

145313505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145313505 is a deficient number, since it is larger than the sum of its proper divisors (106563315).

145313505 is a wasteful number, since it uses less digits than its factorization.

145313505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3229200 (or 3229197 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 145313505 is about 12054.6051366272. The cubic root of 145313505 is about 525.7371413817.

The spelling of 145313505 in words is "one hundred forty-five million, three hundred thirteen thousand, five hundred five".

Divisors: 1 3 5 9 15 45 3229189 9687567 16145945 29062701 48437835 145313505