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145442342343015 = 32510163247505961
BaseRepresentation
bin100001000100011101101111…
…001001101001000101100111
3201001222011002220111221001200
4201010131233021221011213
5123030411404114434030
61233155142323053543
742430601553651354
oct4104355711510547
9631864086457050
10145442342343015
1142384829640113
121438b84a2112b3
136320200544823
1427cb63853562b
1511c3450a75d60
hex84476f269167

145442342343015 has 48 divisors (see below), whose sum is σ = 254600628886656. Its totient is φ = 76799870784000.

The previous prime is 145442342343007. The next prime is 145442342343017. The reversal of 145442342343015 is 510343243244541.

It is a happy number.

145442342343015 is a `hidden beast` number, since 1 + 4 + 544 + 2 + 3 + 42 + 34 + 30 + 1 + 5 = 666.

It is not a de Polignac number, because 145442342343015 - 23 = 145442342343007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145442342343017) 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 47 ways as a sum of consecutive naturals, for example, 287204635 + ... + 287710595.

It is an arithmetic number, because the mean of its divisors is an integer number (5304179768472).

Almost surely, 2145442342343015 is an apocalyptic number.

145442342343015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

145442342343015 is a deficient number, since it is larger than the sum of its proper divisors (109158286543641).

145442342343015 is a wasteful number, since it uses less digits than its factorization.

145442342343015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569320 (or 569317 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

Adding to 145442342343015 its reverse (510343243244541), we get a palindrome (655785585587556).

The spelling of 145442342343015 in words is "one hundred forty-five trillion, four hundred forty-two billion, three hundred forty-two million, three hundred forty-three thousand, fifteen".

Divisors: 1 3 5 9 15 45 101 303 505 909 1515 4545 63247 189741 316235 505961 569223 948705 1517883 2529805 2846115 4553649 6387947 7589415 19163841 22768245 31939735 51102061 57491523 95819205 153306183 255510305 287457615 459918549 766530915 2299592745 32000515367 96001546101 160002576835 288004638303 480007730505 1440023191515 3232052052067 9696156156201 16160260260335 29088468468603 48480780781005 145442342343015