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14102440002 = 23272113141497
BaseRepresentation
bin11010010001001001…
…00010100001000010
31100101211020011211200
431020210202201002
5212340211040002
610251212122030
71006320522300
oct151044424102
940354204750
1014102440002
115a875069a2
122896a66316
1314398c8171
1497ad41270
1557811ab1c
hex348922842

14102440002 has 72 divisors (see below), whose sum is σ = 35858706156. Its totient is φ = 3993583104.

The previous prime is 14102439997. The next prime is 14102440007. The reversal of 14102440002 is 20004420141.

It is an interprime number because it is at equal distance from previous prime (14102439997) and next prime (14102440007).

It can be written as a sum of positive squares in 2 ways, for example, as 14082806241 + 19633761 = 118671^2 + 4431^2 .

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

It is not an unprimeable number, because it can be changed into a prime (14102440007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28918 + ... + 170414.

Almost surely, 214102440002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14102440002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17929353078).

14102440002 is an abundant number, since it is smaller than the sum of its proper divisors (21756266154).

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

14102440002 is a wasteful number, since it uses less digits than its factorization.

14102440002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141632 (or 141622 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 14102440002 its reverse (20004420141), we get a palindrome (34106860143).

The spelling of 14102440002 in words is "fourteen billion, one hundred two million, four hundred forty thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 113 126 147 226 294 339 441 678 791 882 1017 1582 2034 2373 4746 5537 7119 11074 14238 16611 33222 49833 99666 141497 282994 424491 848982 990479 1273473 1980958 2546946 2971437 5942874 6933353 8914311 13866706 15989161 17828622 20800059 31978322 41600118 47967483 62400177 95934966 111924127 124800354 143902449 223848254 287804898 335772381 671544762 783468889 1007317143 1566937778 2014634286 2350406667 4700813334 7051220001 14102440002