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14148311202 = 2331927535009
BaseRepresentation
bin11010010110100111…
…00001100010100010
31100112000112200022000
431023103201202202
5212433431424302
610255531224430
71010415442464
oct151323414242
940460480260
1014148311202
116000397683
1228aa2a8116
13144626919c
14983082134
1557c17c31c
hex34b4e18a2

14148311202 has 64 divisors (see below), whose sum is σ = 33114096000. Its totient is φ = 4465373184.

The previous prime is 14148311197. The next prime is 14148311207. The reversal of 14148311202 is 20211384141.

14148311202 is a `hidden beast` number, since 1 + 4 + 148 + 311 + 202 = 666.

It is an interprime number because it is at equal distance from previous prime (14148311197) and next prime (14148311207).

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 (14148311207) 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, 2822074 + ... + 2827082.

It is an arithmetic number, because the mean of its divisors is an integer number (517407750).

Almost surely, 214148311202 is an apocalyptic number.

14148311202 is an abundant number, since it is smaller than the sum of its proper divisors (18965784798).

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

14148311202 is a wasteful number, since it uses less digits than its factorization.

14148311202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7792 (or 7786 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 14148311202 its reverse (20211384141), we get a palindrome (34359695343).

The spelling of 14148311202 in words is "fourteen billion, one hundred forty-eight million, three hundred eleven thousand, two hundred two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 2753 5009 5506 8259 10018 15027 16518 24777 30054 45081 49554 52307 74331 90162 95171 104614 135243 148662 156921 190342 270486 285513 313842 470763 571026 856539 941526 1412289 1713078 2569617 2824578 5139234 13789777 27579554 41369331 82738662 124107993 248215986 262005763 372323979 524011526 744647958 786017289 1572034578 2358051867 4716103734 7074155601 14148311202