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12141400014 = 2332971109199
BaseRepresentation
bin10110100111010111…
…10000111111001110
31011100011012000201000
423103223300333032
5144331144300024
65324440201130
7606606124452
oct132353607716
934304160630
1012141400014
11517055a597
12242a1691a6
1311b6542183
14832708662
154b0da1cc9
hex2d3af0fce

12141400014 has 64 divisors (see below), whose sum is σ = 28304640000. Its totient is φ = 3852505440.

The previous prime is 12141400009. The next prime is 12141400031. The reversal of 12141400014 is 41000414121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 12141400014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56587 + ... + 165785.

It is an arithmetic number, because the mean of its divisors is an integer number (442260000).

Almost surely, 212141400014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12141400014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320000).

12141400014 is an abundant number, since it is smaller than the sum of its proper divisors (16163239986).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12141400014 is a wasteful number, since it uses less digits than its factorization.

12141400014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109310 (or 109304 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12141400014 its reverse (41000414121), we get a palindrome (53141814135).

The spelling of 12141400014 in words is "twelve billion, one hundred forty-one million, four hundred thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 29 54 58 71 87 142 174 213 261 426 522 639 783 1278 1566 1917 2059 3834 4118 6177 12354 18531 37062 55593 109199 111186 218398 327597 655194 982791 1965582 2948373 3166771 5896746 6333542 7753129 9500313 15506258 19000626 23259387 28500939 46518774 57001878 69778161 85502817 139556322 171005634 209334483 224840741 418668966 449681482 674522223 1349044446 2023566669 4047133338 6070700007 12141400014