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1311045240141 = 327213228683977
BaseRepresentation
bin10011000101000000011…
…000101100010101001101
311122100000222220210021100
4103011000120230111031
5132440010040141031
62442141425253313
7163501631445600
oct23050030542515
94570028823240
101311045240141
1146601394a62a
1219210a494239
13968285017b0
1447652474337
152418394dde6
hex1314062c54d

1311045240141 has 36 divisors (see below), whose sum is σ = 2372367587772. Its totient is φ = 691540343424.

The previous prime is 1311045240049. The next prime is 1311045240157. The reversal of 1311045240141 is 1410425401131.

It is a happy number.

1311045240141 is a `hidden beast` number, since 1 + 31 + 1 + 0 + 452 + 40 + 141 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55814062500 + 1255231177641 = 236250^2 + 1120371^2 .

It is not a de Polignac number, because 1311045240141 - 211 = 1311045238093 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311045240161) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 114336256 + ... + 114347721.

Almost surely, 21311045240141 is an apocalyptic number.

It is an amenable number.

1311045240141 is a deficient number, since it is larger than the sum of its proper divisors (1061322347631).

1311045240141 is a wasteful number, since it uses less digits than its factorization.

1311045240141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228684010 (or 228684000 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 1311045240141 in words is "one trillion, three hundred eleven billion, forty-five million, two hundred forty thousand, one hundred forty-one".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 273 441 637 819 1911 5733 228683977 686051931 1600787839 2058155793 2972891701 4802363517 8918675103 11205514873 14407090551 20810241907 26756025309 33616544619 62430725721 100849633857 145671693349 187292177163 437015080047 1311045240141