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14065934146020 = 2232578144078589
BaseRepresentation
bin1100110010101111101100…
…0000100001100111100100
31211210200122010122121111200
43030223323000201213210
53320424013120133040
645525445000402500
72651141650345401
oct314537300414744
954720563577450
1014065934146020
114533369144459
1216b20a4a76430
137b0547c30533
14368b1b0ab2a8
15195d495cb630
hexccafb0219e4

14065934146020 has 36 divisors (see below), whose sum is σ = 42666666910140. Its totient is φ = 3750915772224.

The previous prime is 14065934145947. The next prime is 14065934146049. The reversal of 14065934146020 is 2064143956041.

14065934146020 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 5 + 9 + 34 + 1 + 4 + 602 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10480849407396 + 3585084738624 = 3237414^2 + 1893432^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39072039115 + ... + 39072039474.

Almost surely, 214065934146020 is an apocalyptic number.

14065934146020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14065934146020 is an abundant number, since it is smaller than the sum of its proper divisors (28600732764120).

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

14065934146020 is a wasteful number, since it uses less digits than its factorization.

14065934146020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78144078604 (or 78144078599 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 14065934146020 in words is "fourteen trillion, sixty-five billion, nine hundred thirty-four million, one hundred forty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 78144078589 156288157178 234432235767 312576314356 390720392945 468864471534 703296707301 781440785890 937728943068 1172161178835 1406593414602 1562881571780 2344322357670 2813186829204 3516483536505 4688644715340 7032967073010 14065934146020