Search a number
-
+
145842669505 = 51318124151437
BaseRepresentation
bin1000011111010011100…
…1101000011111000001
3111221110000201020120001
42013310321220133001
54342141210411010
6150555454320001
713352055144121
oct2076471503701
9457400636501
10145842669505
1156940426225
12243224b9001
13109a31933a0
1470b75a4c81
153bd8b2cc3a
hex21f4e687c1

145842669505 has 32 divisors (see below), whose sum is σ = 190304962848. Its totient is φ = 106657689600.

The previous prime is 145842669491. The next prime is 145842669517. The reversal of 145842669505 is 505966248541.

It is a happy number.

145842669505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 40907489536 + 104935179969 = 202256^2 + 323937^2 .

It is not a de Polignac number, because 145842669505 - 25 = 145842669473 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2809647 + ... + 2861083.

It is an arithmetic number, because the mean of its divisors is an integer number (5947030089).

Almost surely, 2145842669505 is an apocalyptic number.

It is an amenable number.

145842669505 is a deficient number, since it is larger than the sum of its proper divisors (44462293343).

145842669505 is a wasteful number, since it uses less digits than its factorization.

145842669505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51877.

The product of its (nonzero) digits is 10368000, while the sum is 55.

The spelling of 145842669505 in words is "one hundred forty-five billion, eight hundred forty-two million, six hundred sixty-nine thousand, five hundred five".

Divisors: 1 5 13 65 181 241 905 1205 2353 3133 11765 15665 43621 51437 218105 257185 567073 668681 2835365 3343405 9310097 12396317 46550485 61981585 121031261 161152121 605156305 805760605 2243733377 11218666885 29168533901 145842669505