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13834041431 = 717313750079
BaseRepresentation
bin11001110001001001…
…01011100001010111
31022201010012010012212
430320210223201113
5211313003311211
610204423304035
7666551261210
oct147044534127
938633163185
1013834041431
115959a570a1
122820bab01b
1313c6113242
14953436407
1555e7a038b
hex33892b857

13834041431 has 16 divisors (see below), whose sum is σ = 17280368640. Its totient is φ = 10800224640.

The previous prime is 13834041413. The next prime is 13834041433. The reversal of 13834041431 is 13414043831.

13834041431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13834041431 is a prime.

It is a super-2 number, since 2×138340414312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13834041433) 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 15 ways as a sum of consecutive naturals, for example, 1871351 + ... + 1878728.

It is an arithmetic number, because the mean of its divisors is an integer number (1080023040).

Almost surely, 213834041431 is an apocalyptic number.

13834041431 is a deficient number, since it is larger than the sum of its proper divisors (3446327209).

13834041431 is a wasteful number, since it uses less digits than its factorization.

13834041431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3750134.

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 13834041431 in words is "thirteen billion, eight hundred thirty-four million, forty-one thousand, four hundred thirty-one".

Divisors: 1 7 17 31 119 217 527 3689 3750079 26250553 63751343 116252449 446259401 813767143 1976291633 13834041431