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1345139523 = 3272131953233
BaseRepresentation
bin101000000101101…
…0011001101000011
310110202010011112100
41100023103031003
510223323431043
6341251001443
745222332400
oct12013231503
93422104470
101345139523
11630329262
12316599283
131858b0c60
14ca9112a7
157d159cd3
hex502d3343

1345139523 has 144 divisors (see below), whose sum is σ = 2621717280. Its totient is φ = 656667648.

The previous prime is 1345139519. The next prime is 1345139533. The reversal of 1345139523 is 3259315431.

1345139523 is a `hidden beast` number, since 1 + 34 + 513 + 95 + 23 = 666.

It is not a de Polignac number, because 1345139523 - 22 = 1345139519 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1345139533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5773015 + ... + 5773247.

It is an arithmetic number, because the mean of its divisors is an integer number (18206370).

Almost surely, 21345139523 is an apocalyptic number.

1345139523 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1345139523 is a deficient number, since it is larger than the sum of its proper divisors (1276577757).

1345139523 is a wasteful number, since it uses less digits than its factorization.

1345139523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 328 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 1345139523 is about 36676.1437858453. The cubic root of 1345139523 is about 1103.8814730779.

The spelling of 1345139523 in words is "one billion, three hundred forty-five million, one hundred thirty-nine thousand, five hundred twenty-three".

Divisors: 1 3 7 9 13 19 21 39 49 53 57 63 91 117 133 147 159 171 233 247 273 371 399 441 477 637 689 699 741 819 931 1007 1113 1197 1631 1729 1911 2067 2097 2223 2597 2793 3021 3029 3339 4427 4823 4893 5187 5733 6201 7049 7791 8379 9063 9087 11417 12103 12349 13091 13281 14469 14679 15561 21147 21203 23373 27261 30989 33761 34251 36309 37047 39273 39843 43407 49343 57551 63441 63609 86443 91637 92967 101283 102753 108927 111141 117819 148029 148421 160537 172653 190827 216923 234631 259329 274911 278901 303849 402857 444087 445263 481611 517959 605101 641459 650769 703893 777987 824733 1123759 1208571 1335789 1444833 1642417 1815303 1924377 1952307 2111679 2819999 3050203 3371277 3625713 4927251 5445909 5773131 7866313 8459997 9150609 10113831 11496919 14781753 21351421 23598939 25379991 27451827 34490757 64054263 70796817 103472271 149459947 192162789 448379841 1345139523