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1140480727365 = 35728322981637
BaseRepresentation
bin10000100110001001111…
…100101101100101000101
311001000210001200210012110
4100212021330231211011
5122141201031233430
62231532444011233
7145253114142600
oct20461174554505
94030701623173
101140480727365
113aa747702681
12165048830b19
13837156255a5
143d2b1851337
151e9ee7957b0
hex10989f2d945

1140480727365 has 96 divisors (see below), whose sum is σ = 2157672746880. Its totient is φ = 512825596416.

The previous prime is 1140480727361. The next prime is 1140480727411. The reversal of 1140480727365 is 5637270840411.

It is not a de Polignac number, because 1140480727365 - 22 = 1140480727361 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140480727361) 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 95 ways as a sum of consecutive naturals, for example, 13929327 + ... + 14010963.

It is an arithmetic number, because the mean of its divisors is an integer number (22475757780).

Almost surely, 21140480727365 is an apocalyptic number.

1140480727365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1140480727365 is a deficient number, since it is larger than the sum of its proper divisors (1017192019515).

1140480727365 is a wasteful number, since it uses less digits than its factorization.

1140480727365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81971 (or 81964 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 1140480727365 in words is "one trillion, one hundred forty billion, four hundred eighty million, seven hundred twenty-seven thousand, three hundred sixty-five".

Divisors: 1 3 5 7 15 21 35 49 83 105 147 229 245 249 415 581 687 735 1145 1245 1603 1743 2905 3435 4067 4809 8015 8715 11221 12201 19007 20335 24045 33663 56105 57021 61005 81637 95035 133049 168315 244911 285105 399147 408185 571459 665245 931343 1224555 1714377 1995735 2794029 2857295 4000213 4656715 6775871 8571885 12000639 13970145 18694873 20001065 20327613 33879355 47431097 56084619 60003195 93474365 101638065 130864111 142293291 237155485 280423095 332017679 392592333 654320555 711466455 916048777 996053037 1551674459 1660088395 1962961665 2748146331 4580243885 4655023377 4980265185 7758372295 10861721213 13740731655 23275116885 32585163639 54308606065 76032048491 162925818195 228096145473 380160242455 1140480727365