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14121444204 = 22337131142589
BaseRepresentation
bin11010010011011010…
…00010001101101100
31100110010222200201000
431021231002031230
5212410042203304
610253131320300
71006641203160
oct151155021554
940403880630
1014121444204
115a9720704a
1228a12b0090
13144082025a
1497d68aca0
15579b21939
hex349b4236c

14121444204 has 96 divisors (see below), whose sum is σ = 42161011200. Its totient is φ = 4003871040.

The previous prime is 14121444199. The next prime is 14121444209. The reversal of 14121444204 is 40244412141.

It is a happy number.

14121444204 is a `hidden beast` number, since 1 + 4 + 1 + 214 + 442 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (14121444199) and next prime (14121444209).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14121444209) 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, 27742 + ... + 170330.

It is an arithmetic number, because the mean of its divisors is an integer number (439177200).

Almost surely, 214121444204 is an apocalyptic number.

14121444204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14121444204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21080505600).

14121444204 is an abundant number, since it is smaller than the sum of its proper divisors (28039566996).

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

14121444204 is a wasteful number, since it uses less digits than its factorization.

14121444204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142740 (or 142732 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 14121444204 its reverse (40244412141), we get a palindrome (54365856345).

The spelling of 14121444204 in words is "fourteen billion, one hundred twenty-one million, four hundred forty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 131 189 252 262 378 393 524 756 786 917 1179 1572 1834 2358 2751 3537 3668 4716 5502 7074 8253 11004 14148 16506 24759 33012 49518 99036 142589 285178 427767 570356 855534 998123 1283301 1711068 1996246 2566602 2994369 3849903 3992492 5133204 5988738 7699806 8983107 11977476 15399612 17966214 18679159 26949321 35932428 37358318 53898642 56037477 74716636 107797284 112074954 130754113 168112431 224149908 261508226 336224862 392262339 504337293 523016452 672449724 784524678 1008674586 1176787017 1569049356 2017349172 2353574034 3530361051 4707148068 7060722102 14121444204