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145122345105405 = 3579191641183843
BaseRepresentation
bin100000111111110011101101…
…110101000011011111111101
3201000211120010202020222100120
4200333303231311003133331
5123010141030321333110
61232352141315445153
742365512666215513
oct4077635565033775
9630746122228316
10145122345105405
114227104a531268
12143398238b67b9
1362c8c94797755
1427b9d5d62a4b3
1511b9e729e4870
hex83fcedd437fd

145122345105405 has 32 divisors (see below), whose sum is σ = 236366012252160. Its totient is φ = 76018756307520.

The previous prime is 145122345105359. The next prime is 145122345105427. The reversal of 145122345105405 is 504501543221541.

It is not a de Polignac number, because 145122345105405 - 27 = 145122345105277 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320365587 + ... + 320818256.

It is an arithmetic number, because the mean of its divisors is an integer number (7386437882880).

Almost surely, 2145122345105405 is an apocalyptic number.

145122345105405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145122345105405 is a deficient number, since it is larger than the sum of its proper divisors (91243667146755).

145122345105405 is a wasteful number, since it uses less digits than its factorization.

145122345105405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641184121.

The product of its (nonzero) digits is 480000, while the sum is 42.

Adding to 145122345105405 its reverse (504501543221541), we get a palindrome (649623888326946).

The spelling of 145122345105405 in words is "one hundred forty-five trillion, one hundred twenty-two billion, three hundred forty-five million, one hundred five thousand, four hundred five".

Divisors: 1 3 5 15 79 191 237 395 573 955 1185 2865 15089 45267 75445 226335 641183843 1923551529 3205919215 9617757645 50653523597 122466114013 151960570791 253267617985 367398342039 612330570065 759802853955 1836991710195 9674823007027 29024469021081 48374115035135 145122345105405