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1345242025305 = 33529418380787
BaseRepresentation
bin10011100100110110101…
…011000100110101011001
311202121022020012110121000
4103210312223010311121
5134020023424302210
62505555021135213
7166122231355653
oct23446653046531
94677266173530
101345242025305
11479572064452
121988729ba509
1399b181b8209
14491780196d3
1524ed5c1eac0
hex13936ac4d59

1345242025305 has 64 divisors (see below), whose sum is σ = 2534350291200. Its totient is φ = 675826583040.

The previous prime is 1345242025291. The next prime is 1345242025343. The reversal of 1345242025305 is 5035202425431.

1345242025305 is a `hidden beast` number, since 1 + 34 + 52 + 42 + 0 + 2 + 530 + 5 = 666.

It is not a de Polignac number, because 1345242025305 - 26 = 1345242025241 is a prime.

It is a super-2 number, since 2×13452420253052 (a number of 25 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 1345242025305.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4029879 + ... + 4350908.

It is an arithmetic number, because the mean of its divisors is an integer number (39599223300).

Almost surely, 21345242025305 is an apocalyptic number.

1345242025305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1345242025305 is a deficient number, since it is larger than the sum of its proper divisors (1189108265895).

1345242025305 is a wasteful number, since it uses less digits than its factorization.

1345242025305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8380871 (or 8380865 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 1345242025305 in words is "one trillion, three hundred forty-five billion, two hundred forty-two million, twenty-five thousand, three hundred five".

Divisors: 1 3 5 9 15 27 29 41 45 87 123 135 145 205 261 369 435 615 783 1107 1189 1305 1845 3567 3915 5535 5945 10701 17835 32103 53505 160515 8380787 25142361 41903935 75427083 125711805 226281249 243042823 343612267 377135415 729128469 1030836801 1131406245 1215214115 1718061335 2187385407 3092510403 3645642345 5154184005 6562156221 9277531209 9964755743 10936927035 15462552015 29894267229 32810781105 46387656045 49823778715 89682801687 149471336145 269048405061 448414008435 1345242025305