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12340141134113 = 1337701355710289
BaseRepresentation
bin1011001110010010100110…
…1110101001000100100001
31121200201001122122000122102
42303210221232221010201
53104140102112242423
642124552123020145
72412355125651362
oct263445156510441
947621048560572
1012340141134113
113a28473a66301
12147372836a655
136b68938b7350
143093a1d49b69
15165ede693c28
hexb3929ba9121

12340141134113 has 32 divisors (see below), whose sum is σ = 13673196744480. Its totient is φ = 11063040307200.

The previous prime is 12340141134109. The next prime is 12340141134127. The reversal of 12340141134113 is 31143114104321.

It can be written as a sum of positive squares in 16 ways, for example, as 265954741264 + 12074186392849 = 515708^2 + 3474793^2 .

It is a cyclic number.

It is not a de Polignac number, because 12340141134113 - 22 = 12340141134109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12340141134193) 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, 1199347673 + ... + 1199357961.

It is an arithmetic number, because the mean of its divisors is an integer number (427287398265).

Almost surely, 212340141134113 is an apocalyptic number.

12340141134113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12340141134113 is a deficient number, since it is larger than the sum of its proper divisors (1333055610367).

12340141134113 is a wasteful number, since it uses less digits than its factorization.

12340141134113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14597.

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 12340141134113 its reverse (31143114104321), we get a palindrome (43483255238434).

The spelling of 12340141134113 in words is "twelve trillion, three hundred forty billion, one hundred forty-one million, one hundred thirty-four thousand, one hundred thirteen".

Divisors: 1 13 37 481 701 3557 9113 10289 25937 46241 131609 133757 337181 380693 1710917 2493457 4949009 7212589 32414941 36597973 92257909 93763657 266865793 475773649 1199352817 1354125001 3469255309 17603625013 25655179073 333517327949 949241625701 12340141134113