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145345326513 = 31719214875309
BaseRepresentation
bin1000011101011101000…
…0011010110110110001
3111220011100212121020020
42013113100122312301
54340131400422023
6150434250434053
713333535614422
oct2072720326661
9456140777206
10145345326513
1156705714062
1224203a32929
131092412b7aa
14706b501649
153baa13bde3
hex21d741adb1

145345326513 has 48 divisors (see below), whose sum is σ = 216747912960. Its totient is φ = 86322857472.

The previous prime is 145345326499. The next prime is 145345326541. The reversal of 145345326513 is 315623543541.

It is a happy number.

145345326513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 145345326513 - 218 = 145345064369 is a prime.

It is a super-2 number, since 2×1453453265132 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145345326593) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 27374503 + ... + 27379811.

It is an arithmetic number, because the mean of its divisors is an integer number (4515581520).

Almost surely, 2145345326513 is an apocalyptic number.

It is an amenable number.

145345326513 is a deficient number, since it is larger than the sum of its proper divisors (71402586447).

145345326513 is a wasteful number, since it uses less digits than its factorization.

145345326513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6854 (or 6835 counting only the distinct ones).

The product of its digits is 648000, while the sum is 42.

The spelling of 145345326513 in words is "one hundred forty-five billion, three hundred forty-five million, three hundred twenty-six thousand, five hundred thirteen".

Divisors: 1 3 17 19 51 57 323 361 969 1083 1487 4461 5309 6137 15927 18411 25279 28253 75837 84759 90253 100871 270759 302613 480301 536807 1440903 1610421 1714807 1916549 5144421 5749647 7894483 9125719 23683449 27377157 32581333 97743999 134206211 149995177 402618633 449985531 2549918009 2849908363 7649754027 8549725089 48448442171 145345326513