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145346115105 = 32531310319213
BaseRepresentation
bin1000011101011101001…
…1011011011000100001
3111220011102100122222100
42013113103123120201
54340132101140410
6150434315401013
713333545410502
oct2072723333041
9456142318870
10145346115105
1156706102594
1224204153169
1310924346709
14706b668ba9
153baa2458c0
hex21d74db621

145346115105 has 24 divisors (see below), whose sum is σ = 252738189288. Its totient is φ = 77270259456.

The previous prime is 145346115053. The next prime is 145346115163. The reversal of 145346115105 is 501511643541.

145346115105 is a `hidden beast` number, since 1 + 4 + 5 + 34 + 611 + 5 + 1 + 0 + 5 = 666.

145346115105 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 4 ways, for example, as 1407825441 + 143938289664 = 37521^2 + 379392^2 .

It is not a de Polignac number, because 145346115105 - 224 = 145329337889 is a prime.

It is a super-2 number, since 2×1453461151052 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145346115105.

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 23 ways as a sum of consecutive naturals, for example, 5145522 + ... + 5173691.

It is an arithmetic number, because the mean of its divisors is an integer number (10530757887).

Almost surely, 2145346115105 is an apocalyptic number.

145346115105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145346115105 is a deficient number, since it is larger than the sum of its proper divisors (107392074183).

145346115105 is a wasteful number, since it uses less digits than its factorization.

145346115105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10319537 (or 10319534 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 145346115105 its reverse (501511643541), we get a palindrome (646857758646).

The spelling of 145346115105 in words is "one hundred forty-five billion, three hundred forty-six million, one hundred fifteen thousand, one hundred five".

Divisors: 1 3 5 9 15 45 313 939 1565 2817 4695 14085 10319213 30957639 51596065 92872917 154788195 464364585 3229913669 9689741007 16149568345 29069223021 48448705035 145346115105