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12414144441 = 389137463733
BaseRepresentation
bin10111000111111000…
…01100111110111001
31012001011101212201110
423203330030332321
5200411010110231
65411502110533
7616430325636
oct134374147671
935034355643
1012414144441
1152a0508506
1224a557b449
13122abb91ca
1485aa2518d
154c9cca046
hex2e3f0cfb9

12414144441 has 32 divisors (see below), whose sum is σ = 16919815680. Its totient is φ = 8094772224.

The previous prime is 12414144409. The next prime is 12414144461. The reversal of 12414144441 is 14444141421.

It is not a de Polignac number, because 12414144441 - 25 = 12414144409 is a prime.

It is a super-2 number, since 2×124141444412 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12414144399 and 12414144408.

It is not an unprimeable number, because it can be changed into a prime (12414144461) 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, 16935711 + ... + 16936443.

It is an arithmetic number, because the mean of its divisors is an integer number (528744240).

Almost surely, 212414144441 is an apocalyptic number.

It is an amenable number.

12414144441 is a deficient number, since it is larger than the sum of its proper divisors (4505671239).

12414144441 is a wasteful number, since it uses less digits than its factorization.

12414144441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425.

The product of its digits is 8192, while the sum is 30.

Adding to 12414144441 its reverse (14444141421), we get a palindrome (26858285862).

The spelling of 12414144441 in words is "twelve billion, four hundred fourteen million, one hundred forty-four thousand, four hundred forty-one".

Divisors: 1 3 89 137 267 411 463 733 1389 2199 12193 36579 41207 63431 65237 100421 123621 190293 195711 301263 339379 1018137 5645359 8937469 16936077 26812407 30204731 46494923 90614193 139484769 4138048147 12414144441