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145514020369 = 17219211812
BaseRepresentation
bin1000011110000101001…
…1111011111000010001
3111220121010022010200211
42013201103323320101
54341003042122434
6150503114244121
713340654523304
oct2074123737021
9456533263624
10145514020369
1156791964273
1224250426641
1310950074443
147085a94b3b
153bb9d60464
hex21e14fbe11

145514020369 has 27 divisors (see below), whose sum is σ = 163279264881. Its totient is φ = 129636385920.

The previous prime is 145514020363. The next prime is 145514020373. The reversal of 145514020369 is 963020415541.

The square root of 145514020369 is 381463.

It is a perfect power (a square), and thus also a powerful number.

145514020369 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 73254129025 + 72259891344 = 270655^2 + 268812^2 .

It is a de Polignac number, because none of the positive numbers 2k-145514020369 is a prime.

It is a super-2 number, since 2×1455140203692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (145514020363) 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 26 ways as a sum of consecutive naturals, for example, 123211959 + ... + 123213139.

Almost surely, 2145514020369 is an apocalyptic number.

145514020369 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

145514020369 is the 381463-rd square number.

145514020369 is the 190732-nd centered octagonal number.

It is an amenable number.

145514020369 is a deficient number, since it is larger than the sum of its proper divisors (17765244512).

145514020369 is an frugal number, since it uses more digits than its factorization.

145514020369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The spelling of 145514020369 in words is "one hundred forty-five billion, five hundred fourteen million, twenty thousand, three hundred sixty-nine".

Divisors: 1 17 19 289 323 361 1181 5491 6137 20077 22439 104329 341309 381463 426341 1394761 6484871 7247797 23710937 26500459 123212549 403085929 450507803 503508721 7658632651 8559648257 145514020369