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145550204145 = 32514892172229
BaseRepresentation
bin1000011110001101110…
…1111101110011110001
3111220200122101110111200
42013203131331303301
54341041323013040
6150510450001413
713341604215333
oct2074335756361
9456618343450
10145550204145
1156800328715
1224260576269
1310957702c68
14708a7d3453
153bbd10b630
hex21e377dcf1

145550204145 has 24 divisors (see below), whose sum is σ = 252456570600. Its totient is φ = 77574606336.

The previous prime is 145550204141. The next prime is 145550204171. The reversal of 145550204145 is 541402055541.

145550204145 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 502 + 0 + 4 + 145 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36988520976 + 108561683169 = 192324^2 + 329487^2 .

It is not a de Polignac number, because 145550204145 - 22 = 145550204141 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145550204141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1019110 + ... + 1153119.

It is an arithmetic number, because the mean of its divisors is an integer number (10519023775).

Almost surely, 2145550204145 is an apocalyptic number.

145550204145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145550204145 is a deficient number, since it is larger than the sum of its proper divisors (106906366455).

145550204145 is a wasteful number, since it uses less digits than its factorization.

145550204145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173729 (or 2173726 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

Adding to 145550204145 its reverse (541402055541), we get a palindrome (686952259686).

The spelling of 145550204145 in words is "one hundred forty-five billion, five hundred fifty million, two hundred four thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 1489 4467 7445 13401 22335 67005 2172229 6516687 10861145 19550061 32583435 97750305 3234448981 9703346943 16172244905 29110040829 48516734715 145550204145