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14214040041024 = 263237666950077
BaseRepresentation
bin1100111011010111011011…
…0011101011011001000000
31212022211220220000121210100
43032311312303223121000
53330340323222303044
650121501224002400
72664634106601555
oct316656663533100
955284826017710
1014214040041024
11459016005347a
121716939300400
137c14bbc613b5
14371d6b08aa2c
15199b16c64869
hexced76ceb640

14214040041024 has 84 divisors (see below), whose sum is σ = 41843113993564. Its totient is φ = 4609958925312.

The previous prime is 14214040040989. The next prime is 14214040041029. The reversal of 14214040041024 is 42014004041241.

It is a happy number.

14214040041024 is a `hidden beast` number, since 1 + 4 + 214 + 0 + 400 + 41 + 0 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7155453801024 + 7058586240000 = 2674968^2 + 2656800^2 .

It is not an unprimeable number, because it can be changed into a prime (14214040041029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 333453727 + ... + 333496350.

Almost surely, 214214040041024 is an apocalyptic number.

It is an amenable number.

14214040041024 is an abundant number, since it is smaller than the sum of its proper divisors (27629073952540).

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

14214040041024 is a wasteful number, since it uses less digits than its factorization.

14214040041024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666950132 (or 666950119 counting only the distinct ones).

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

Adding to 14214040041024 its reverse (42014004041241), we get a palindrome (56228044082265).

The spelling of 14214040041024 in words is "fourteen trillion, two hundred fourteen billion, forty million, forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 144 148 192 222 288 296 333 444 576 592 666 888 1184 1332 1776 2368 2664 3552 5328 7104 10656 21312 666950077 1333900154 2000850231 2667800308 4001700462 5335600616 6002550693 8003400924 10671201232 12005101386 16006801848 21342402464 24010202772 24677152849 32013603696 42684804928 48020405544 49354305698 64027207392 74031458547 96040811088 98708611396 128054414784 148062917094 192081622176 197417222792 222094375641 296125834188 384163244352 394834445584 444188751282 592251668376 789668891168 888377502564 1184503336752 1579337782336 1776755005128 2369006673504 3553510010256 4738013347008 7107020020512 14214040041024