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43401341414431 = 72111341151073113
BaseRepresentation
bin10011101111001001010011…
…00010011010110000011111
312200200010110002212120102101
421313210221202122300133
521142041421400230211
6232150145003105531
712066433462041100
oct1167445142326037
9180603402776371
1043401341414431
1112913450837710
124a4b5795122a7
131b2a962611240
14aa08c97963a7
15503e7d9ca5c1
hex27792989ac1f

43401341414431 has 48 divisors (see below), whose sum is σ = 60760397865888. Its totient is φ = 30456339379200.

The previous prime is 43401341414393. The next prime is 43401341414489. The reversal of 43401341414431 is 13441414310434.

It is not a de Polignac number, because 43401341414431 - 225 = 43401307859999 is a prime.

It is a super-2 number, since 2×434013414144312 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43401341414531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75249270 + ... + 75823843.

It is an arithmetic number, because the mean of its divisors is an integer number (1265841622206).

Almost surely, 243401341414431 is an apocalyptic number.

43401341414431 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

43401341414431 is a deficient number, since it is larger than the sum of its proper divisors (17359056451457).

43401341414431 is a wasteful number, since it uses less digits than its factorization.

43401341414431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151073192 (or 151073185 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

Adding to 43401341414431 its reverse (13441414310434), we get a palindrome (56842755724865).

The spelling of 43401341414431 in words is "forty-three trillion, four hundred one billion, three hundred forty-one million, four hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 7 11 13 41 49 77 91 143 287 451 533 539 637 1001 2009 3157 3731 5863 7007 22099 26117 41041 287287 151073113 1057511791 1661804243 1963950469 6193997633 7402582537 11632629701 13747653283 21603455159 43357983431 68133973963 80521969229 81428407907 96233572981 151224186113 303505884017 476937817741 563653784603 885741661519 1058569302791 3338564724187 3945576492221 6200191630633 43401341414431