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12434410240311 = 3257881178310267
BaseRepresentation
bin1011010011110001110010…
…0110101111100100110111
31122000201101102120210112010
42310330130212233210313
53112211133010142221
642240142245055303
72422233164100603
oct264743446574467
948021342523463
1012434410240311
113a64449464034
121489a569b7533
136c2738000067
1430db85c0c503
151686aa700c76
hexb4f1c9af937

12434410240311 has 32 divisors (see below), whose sum is σ = 16673585177088. Its totient is φ = 8242550046720.

The previous prime is 12434410240297. The next prime is 12434410240321. The reversal of 12434410240311 is 11304201443421.

It is a happy number.

It is not a de Polignac number, because 12434410240311 - 29 = 12434410239799 is a prime.

It is a super-2 number, since 2×124344102403112 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12434410240321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1211099400 + ... + 1211109666.

It is an arithmetic number, because the mean of its divisors is an integer number (521049536784).

Almost surely, 212434410240311 is an apocalyptic number.

12434410240311 is a deficient number, since it is larger than the sum of its proper divisors (4239174936777).

12434410240311 is a wasteful number, since it uses less digits than its factorization.

12434410240311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13191.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 12434410240311 its reverse (11304201443421), we get a palindrome (23738611683732).

The spelling of 12434410240311 in words is "twelve trillion, four hundred thirty-four billion, four hundred ten million, two hundred forty thousand, three hundred eleven".

Divisors: 1 3 257 771 881 1783 2643 5349 10267 30801 226417 458231 679251 1374693 1570823 2638619 4712469 7915857 9045227 18306061 27135681 54918183 403701511 1211104533 2324623339 4704657677 6973870017 14113973031 16127639741 48382919223 4144803413437 12434410240311