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12344502405 = 3531208112757
BaseRepresentation
bin10110111111100101…
…00010100010000101
31011212022100200210210
423133302202202011
5200240143034110
65400533310033
7614623352634
oct133762424205
934768320723
1012344502405
115265171404
122486195319
1312196445c1
1485169751b
154c3b20520
hex2dfca2885

12344502405 has 32 divisors (see below), whose sum is σ = 20399735808. Its totient is φ = 6367795200.

The previous prime is 12344502403. The next prime is 12344502481. The reversal of 12344502405 is 50420544321.

12344502405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12344502405 - 21 = 12344502403 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 (12344502403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 961287 + ... + 974043.

It is an arithmetic number, because the mean of its divisors is an integer number (637491744).

Almost surely, 212344502405 is an apocalyptic number.

12344502405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12344502405 is a deficient number, since it is larger than the sum of its proper divisors (8055233403).

12344502405 is a wasteful number, since it uses less digits than its factorization.

12344502405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14877.

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 12344502405 in words is "twelve billion, three hundred forty-four million, five hundred two thousand, four hundred five".

Divisors: 1 3 5 15 31 93 155 465 2081 6243 10405 12757 31215 38271 63785 64511 191355 193533 322555 395467 967665 1186401 1977335 5932005 26547317 79641951 132736585 398209755 822966827 2468900481 4114834135 12344502405